A metal Fabricating Company produces 150,000 souvenir tokens each year. In a random sample of 400 tokens, 3 have stamping errors. Predict the total number of coins that will have stamping errors in a year.

Answers

Answer 1

1125
150000 divided by 400 equals 375, times 3 equals 1125.

Related Questions

In order to circumscribe a circle on a triangle, which line must you construct?

a.median

b.altitude

c.diagonal

d.perpendicular bisector

Answers

The answer is the option d.Perpendicular bisector.

Explanation:

By definition, a circumscribe circle passes through the three vertices of the triangle and to its constrution, you have to draw the triangle and then construct a perpendicular bisector to each side of it. The point where these perpendicular bisectors intersect each other, will be the center of the circle. Then, you should place the compass on the center point to draw the circle.

The answer is in fact perpendicular bisector

If CDEF ≅ MNPQ, then ≅ DE ≅

a. NP
b. PQ
c. NQ
d. MN

* there's no picture this is all the information the question gives me *

Answers

The answer is A.NP.

Answer:

The correct option is a.

Step-by-step explanation:

It is given that CDEF ≅ MNPQ.

We need to find the side of MNPQ which is congruent to the side DE.

The corresponding parts of congruent figures are congruent.

Since CDEF ≅ MNPQ, therefore the corresponding sides of both figures are congruent.

[tex]CD\cong MN[/tex]

[tex]DE\cong NP[/tex]

[tex]EF\cong PQ[/tex]

[tex]CF\cong MQ[/tex]

The side NP is congruent to side DE. Therefore the correct option is a.

find the number of liters in 90 gallons

Answers

number of liters)- 340.687

1
Which mathematical symbol would best fill in the blank to compare the two real numbers? 7.6 repeating____55 squared

<
>
=
≈

2
Convert 11.42424242 … to a rational expression in the form of a/b , where b ≠ 0.

42/999 with 11 whole number
42/9990 with 11 whole number
42/99 with 11 whole number
99/42 with 11 whole number

3
Order the set of numbers from least to greatest: -5/6, -5, -26 squared, -31/6

4
Identify the number that does not belong with the other three. Explain your reasoning
50.1 reapting , -50/2, , -50.1, 50 squared

Answers

Hey there! :D

1. 7.6 repeating ____ 55 squared

Find 55 squared.

7.6 < 3025

7.6 is less than 7.4.

2. We already know we have 11 as the whole number.

When you have a repeating decimal, you can keep it as a fraction but use 99 as the denominator.

42/99 with the 11 whole number is the answer.

3. -31/6, -5, -5/6, -26^2 <== least to greatest.

-31/6= -5.16667 -26^2= 676

4. I think the 50 is the square root. Everything else can be represented as a fraction or ratio. The square root of 50 is irrational, and cannot be represented by a fraction or ratio. 50 squared is the one that doesn't belong.

I hope this helps!
~kaikers

In the game of roulette, a player can place a $55 bet on the number 3434 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3434, the player gets to keep the $55 paid to play the game and the player is awarded an additional $175175. otherwise, the player is awarded nothing and the casino takes the player's $55. what is the expected value of the game to the player

Answers

the correct question is
In the game of roulette, a player can place a $5 bet on the number 34 and have a 1/38 probability of winning. if the metal ball lands on 34, the player gets to keep the $5 paid to play the game and the player is awarded an additional $175. otherwise, the player is awarded nothing and the casino takes the player's $5. what is the expected value of the game to the player

we know that
P(winning) = 1/38
P(losing) = 1-1/38 = 37/38
Expected value = 175*1/38 - 5*37/38
175/38 - 185/38 = - 10/38 =-$0.2632

The player's expected value is -$0.2632 ( is losing)

A quadrilateral with two sets of parallel sides and four right angles is a
parallelogram
rhombus
rectangle
trapezoid

Answers

Its a parallelogram
thats the answer

The correct answer is a rectangle.

guys please assist me
this is a system of equation word problem

Answers

Let t and h represent the number of twenty- and hundred-dollar bills given the crook, respectively.
.. 20t +100h = 10000 . . . . . . the total value of the payment was $10,000
.. t - h = 20 . . . . . . . . . . . . . . . she gave him 20 more twenties than hundreds

Using an augmented matrix, the solution can be found to be
.. t = 100
.. h = 80

She gave the crook only 100 20s, so did not meet the requirement for 105 twenty-dollar bills. Polly did not give him enough.

justin runs at a constant rate, traveling 17km in 2 hours whats the equation

Answers

If you mean how much he travels in one hour
17km/2 h=8.5 km/hour

Justin's constant rate of running can be represented by the equation

=17/2 =8.5, where r is his speed in kilometers per hour. This indicates that Justin runs at a steady pace of 8.5 kilometers per hour.

To find the equation that represents Justin's constant rate of running, we can use the formula for speed, which is distance divided by time. Given that Justin travels 17 km in 2 hours, we can use these values to determine his speed.

Step 1: Identify the variables:

Let's denote:

d as the distance traveled (in kilometers)

t as the time taken (in hours)

r as the rate or speed (in kilometers per hour)

Step 2: Write down the formula for speed:

Speed =Distance/Time

Step 3: Plug in the given values:

We know that Justin travels 17 km in 2 hours. So,

d=17 km and t=2 hours.

Step 4: Calculate the speed:

=17/2=8.5 km/hr

Step 5: Write down the equation:

Now that we know Justin's speed is 8.5 km/hr, we can express it as an equation:r=8.5

So, the equation representing Justin's constant rate of running is:

r=8.5

This equation states that Justin's speed is always 8.5 kilometers per hour, regardless of the distance he travels. It's a linear equation because his speed remains constant over time

complete question=

Justin runs at a constant rate, traveling 17 kilometers in 2 hours. What is the equation that represents Justin's rate of running?"

Can someone help me please?

Answers

Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.

The figure below shows triangle NRM with r2 = m2 + n2:

Triangle NRM has legs m and n, and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n, as shown below:

Triangle EFD has legs m and n and hypotenuse f.

He made the following table to prove that triangle NRM is a right triangle:

Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD ?
6. Angle NRM is a right angle CPCTC
7. Triangle NRM is a right triangle Angle NRM is a right angle

Which reason best fits statement 5?
SSS Postulate
SAS Postulate
AAA Postulate
AAS Postulate

Answers

Triangle NRM has legs m and n, and r is the length of its longest side.

and given that ⇒ r² = m² + n²
Ben constructed a right triangle EFD with legs m and n

so, both of the triangles NRM and EFD have legs with sides m and n

beside that the third side of NRM is equal to the third side EFD, i.e ⇒ r = f

which is proved from the statement number 4

So, the sides of the triangle NRM are congruent to the sides of triangle EFD

So, the reason which best fits statement 5 is ⇒ [tex]\framebox {SSS \ Postulate} [/tex]

Answer:

Option "SSS postulate" is correct.

Step-by-step explanation:

Given that: Triangle NRM has legs m and n, and r is the length of its longest side.

and r² = m² + n².

Now, Ben constructed a right triangle EFD with legs m and n.

and in statement 4, it is proved that f=r.

So, all the three sides of the triangles NMR and EFD are congruent.

So, the triangles are congruent bt the SSS Postulate.

⇒ option "SSS postulate" is correct.

A group of kindergartners and first graders were asked whether or not they can ride a bike. This table shows the relative frequencies of the rows for the two-way table representing this situation. Select from the drop-down menus to complete the statement. The percent of kindergartners surveyed who can ride a bike is (choose-greater than ,less than, equal to) the percent of first graders surveyed who can ride a bike.
   Can ride a bike Cannot ride a bike
Kindergartners.   0.32. 0.68
First graders.    0.56.   0.44

Answers

The percentage of kindergartners who can ride a bike is less than because 0.32 is less than 0.68. 32 is less than 68. (READ YOUR QUESTIONS BEFORE POSTING.)

Answer: The percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

Step-by-step explanation:

Given: The table shows the relative frequencies of the rows for the two-way table representing this situation.

The relative frequency for kindergartners surveyed who can ride a bike=0.32

Then, the percent of kindergartners surveyed who can ride a bike=[tex]0.32\times100=32\%[/tex]

The relative frequency for First graders surveyed who can ride a bike=0.56

Then, the percent of First graders surveyed who can ride a bike=[tex]0.56\times100=56\%[/tex]

Clearly, 32 is less than 56.

Therefore, the percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.

A toy manufacturer ships a toy in one of two different size boxes. The small box contains 6 of the toy and the large box contains 10 of the toy.

A client orders no fewer than 100 of the toy. Based on his storage and sales needs, the client requires that he receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.

The cost to the client for a small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200 for his order of toys.

Let x represent the number of small boxes and y represent the number of large boxes.

What constraints are placed on the variables in this situation?

Answers

The constraints placed on the variables y and x in this problem are y≤8 and x≥6.

Answer:

Let x represent the number of small boxes.

Let y represent the number of large boxes.

The client receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.

[tex]x \geq 6[/tex]

[tex]y \leq 8[/tex]

The cost of small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200.

[tex]4x+ 6y \leq 200[/tex]

The small box contains 6 of the toy and the large box contains 10 of the toy. A client orders no fewer than 100 of the toy.

[tex]6x+10y \geq 100[/tex]

Solve 1-12 or any of them please.

Answers

1. y = 4x - 3
2. y = -x + 4
3. y = 1/3x +1
4. y = ----
5. y = 1/7x + 2
6. y = -4x + 2.75
7. y = 3x + 5
8.
9.
10.
11.
12.

For 2, 3, 10, 11, 12, "intercept form" works nicely.
.. x/(x-intercept) +y/(y-intercept) = 1

2) x/4 +y/4 = 1 . . . . . an equation
.. x + y = 4 . . . . . . . . the equation in standard form

3) x/-3 +y/1 = 1 . . . . an equation
.. x -3y = -3 . . . . . . . the equation in standard form

10) x/4 +y/2 = 1
.. x +2y = 4 . . . . . . . in standard form

11) x/-3 +y/5 = 1
.. 5x -3y = -15 . . . . . in standard form

12) x/-10 +y/16 = 1
.. 8x -5y = -80 . . . . . in standard form

For the rest, the 2-point form of the equation of a line will work.
For points (x1, y1) and (x2, y2), the line through them can be written as
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1

1) y = (1 -(-3))/(1 -0)*(x -0) +(-3)
.. y = 4x -3

Is this pattern a net for the three dimensional figure ?

Answers

It is not because the figure only has 2 hexagons (top and bottom) but the net has 3. So, your answer is NO.

The pattern net is not for the three-dimensional figure which is a hexagon prism the answer is No.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have a three-dimensional figure is shown in the picture.

As we know,

In the hexagonal prism, there are only two hexagons but in the net, there are three hexagons shown.

Thus, the pattern net is not for the three-dimensional figure which is a hexagon prism the answer is No.

Learn more about the regular polygon here:

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Solving quadratics by factoring 3x^2+33x+30=0

Answers

3x^2+33x+30=0
3(x^2+11x+10)=0
3(x+10)(x+1)=0
x=-10,-1

3 • (x + 10) • (x + 1) = 0
x = -1 and -10
Hope this helps!!

BRAINLIESTTTT!!!!

Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.

(x − 4)2 = 3
(x − 3)2 = 2
(x − 2)2 = 1
(x − 1)2 = 4

Answers

we have that
x² − 2x − 3 = 0

Step 1
isolate the variable terms
x² - 2x = 3

Step 2
complete the square
x² - 2x + 1² = 3 + 1²
(x-1)² = 4

the answer is the option (x-1)² = 4

PLEASSE HELLP! // 99 points // look at the picture below

Answers

Parallelogram is your answer

The opposite sides are parallel to each other, and are congruent.

hope this helps

An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?

Answers

hmmm, as I read it, in year 1, but it doesn't say at the beginning of the year or end, so we'll be assuming is at the beginning of year 1, the amount is 850, how much will it be at the beginning of year 6? namely, 5 years later.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$850\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=years\to &5 \end{cases} \\\\\\ A=850[1+0.08(5)]\implies A=850(1.4)[/tex]

Simple interest can be calculated by using the following:
A = P(1 + rt) where A is the total amount of principle and interest: P is the initial investment; r is the rate of interest; and t is the time

Using P = 850, r = .08, and t = 5
A = 850(1+ .08(5))
A = 850(1.4)
A = 1190 the amount in the account in year 6

What is the perimeter of this square?

A.
19 in.

B.
28.5 in.

C.
30.5 in.

D.
38 in.

Answers

We need the square and the lengths of it to help you

Which equation of the least squares regression line most closely matches the data set?

Note: The variable x represents the years after 1970.

Y= -5.7x-67
Y= -0.98x+65
Y= -0.17x+76
Y= -5.7x +67

Answers

Judging by the first and last points (0, 65), (8, 21), the slope is about -44/8 = -5.5 and the y-intercept is about 65.

The 4th selection is appropriate.

Answer:

D. [tex]y = -5.7x + 67[/tex]

Step-by-step explanation:

Let us take the year 1970 as the 0th year.

So, the corresponding table of values is,

x y

0 65

2 58

4 45

6 32

8 21

Using the linear regression calculator, we see that,

The closest equation of the regression line is [tex]y = -5.7x + 67[/tex].

Select the expression for the following word phrase.
12 less than v

Answers

the correct answer would be 4(3 +8)

For this case, the first thing we are going to assume is that we have the following terms:

Number = 12

Variable = v

We then have the following expression:

12 less than v

Writing the expression in algebraic form we have:

12 <v

Answer:

the expression for the word phrase is:

12 <v

how do you do #8,9,10 ?? thank you !!

Answers

8. g(x) = 3f(x +2)
.. 3 represents a vertical expansion factor of 3
.. 2 represents a left shift of 2 units

9. g(x) = -2f(x)
.. 2 represents a vertical expansion factor of 2
.. the minus sign is a reflection across the x-axis

10. g(x) = f(x -1) +3
.. 3 represents a vertical shift upward by 3 units
.. -1 represent s right shift of 1 unit

The proof that HG ≅ EG is shown. Given: G is the midpoint of KF KH ∥ EF Prove: HG ≅ EG What is the missing reason in the proof? Statement Reason 1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅ 2. KH ∥ EF 2. given 3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅ 4. G is the midpoint of KF 4. given 5. FG ≅ KG 5. def. of midpt. 6. △FEG ≅ △KHG 6. ? 7. HG ≅ EG 7. CPCTC SAS ASA AAS HL

Answers

In the proof we see that ∠EGF is congruent to ∠HGK because they are vertical angles. We also see that KG is congruent to FG because G is the midpoint. Additionally we have that ∠F is congruent to ∠K because they are alternate interior angles. We have two angles and the side between them, or ASA.

what are the lengths of the other two sides of the triangle?

Answers

To solve for area of a triangle u multiply base times height times 1/2

How do I find the slope of (2,3) and (5,9) by showing all of my work

Answers

(2,3) and (5,9) You are suppose to subtract the y axis from the x axis. You´re going to do 9 - 3 which is 6. Then, you are going to do 5 - 2 which is 3. You should get 6/3. This simplifies to 2. So, you slope is going to be 2. I hope this helps!

Slope=rise/run or we can write it as y1-y2/x1-x2.

(Hint: y is the rise and x is the run. To find slope, we need to know the change in “y” and the change in “x.” That is where the formula comes from)

2 will be x1
3 will be y1
5 will be x2
9 will be y2

You will get 3-9/2-5
Then: -6/-3
Then: 2

The slope is 2.

(Although this works with linear functions, for non-linear functions we use derivatives. I’m assuming you are using a linear function. Assuming the two points are on a linear function, the slope is 2)

Which of the following sets of points forms a linear function?
A. (0, 5) (1, 8) ( 2, 11) (3, 14)
B. (1, 2) (2, 4) (3, 8) (4, 16)
C. (-2, 5) (-1, 2) (0, 1) (1, 2)
D. (-4, 8) (-3, 3) (-2, 0) (1, 3)

Answers

A. x=0, y=a*0+b=5, b=5
x=1, y=a*1+5=8, a=8-5, a=3
x=2, y=2*3+5=11
x=3, y=3*3+5=14

A is the answer

30 POINTS!!! HELP PLEASE!
Model each scenario with an equation and a sketch. Solve for the missing value and u. Use complete sentences to interpret the solution. In your final answer, include your equation, sketch, interpretation, and all calculations necessary for the solution.

1.) To get home from school, Bob walks four blocks north and three blocks east. What is the straight line distance between Bob’s house and his school?

2.)One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a fourteen foot ladder. When you arrive at your first job, you place your ladder on the ground six feet from the base of the house and lean it towards a second story window, only to realize that the ladder doesn’t reach the window. Given the length of the ladder and its current position, what is one possible height of the second story window? (Hint: There is more than one correct answer.)

3.) In a softball diamond, each of the bases, including home plate, are equidistant from each other. Although the name implies differently, a softball diamond is in the shape of a square. Given that the distance between the bases is unknown, determine an expression for the straight line distance between first and third bases.

4.) A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?

Answers

#1) In the sketch, the school is located at coordinates (1, 1). Going north (up) 4 blocks and east (right) 3 blocks to get home places it at (4, 5). The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Using our coordinates we have:
[tex]d=\sqrt{(4-1)^2+(5-1)^2} \\=\sqrt{3^2+4^2} \\=\sqrt{9+16} \\=\sqrt{25} \\=5[/tex] His house is 5 blocks from the school in a straight line.
#2) The ladder (14 ft) forms the hypotenuse of a right triangle, with the legs being the distance from the house (6 ft) and the height of the ladder (b ft). This gives us:
[tex]6^2+b^2=14^2 \\36+b^2=196[/tex]
Subtract 36 from both sides:
[tex]36+b^2-36=196-36 \\b^2=160[/tex]
Take the square root of both sides:
[tex]\sqrt{b^2}=\sqrt{160} \\b=12.6[/tex]
One possibility for the height of the second story window is 13 feet, since it is longer than 12.6.
#3) The distance from 1st base to 3rd base forms the hypotenuse of a right triangle, with each leg being equal to s, the side length of the square formed by the baseball diamond. Using the Pythagorean theorem we have:
[tex]s^2+s^2=d^2[/tex], where d is the distance from 1st to 3rd. Combining like terms gives us [tex]2s^2=d^2[/tex]. Taking the square root of both sides we have [tex]\sqrt{2s^2}=\sqrt{d^2} \\s\sqrt{2}=d[/tex] (this is due to the fact that square root cancels a squared variable, so s comes out of the radical sign).
#4) The straight distance from the boat's original position to its new position forms the hypotenuse of a right triangle, with the legs being the distance west (600) and the distance south (800) it traveled. Using the Pythagorean theorem we have:
[tex]600^2+800^2=d^2 \\360000+640000=d^2 \\1000000=d^2[/tex]
Taking the square root of both sides we have
[tex]\sqrt{1000000}=\sqrt{d^2} \\1000=d[/tex]
The straight distance between the two points would be 1000 meters.

Please help quickly for 5 stars and brainliest!!

1. Omar set off a rocket in a field. The height h of the rocket in feet can be roughly estimated using the formula

h = -16t^2 + 128t, where t is the time in seconds. How long will it take the rocket to reach a height of 240 feet?

2. Josefina tosses a ball upward with an initial velocity of 76 feet per second.

She tosses it from an initial height of 2 feet. Find the approximate time that the ball hits the ground.

Use the function h(t) = -16t^2 + 76t + 2

Round to the nearest second.

3. Brandi, an amateur skier, begins on the "bunny hill," which has a vertical drop of 200 feet.

Her speed at the bottom of the hill is given by the equation v^2 = 64h, where the velocity v is in feet per second

and the height h of the hill is in feet. Assuming there is no friction, approximate Brandi's velocity at the bottom of the hill.

Answers

1.
Height h = 240 feet
We insert it into formula.
[tex]240 = -16 t^{2} +128t[/tex]
Now we solve this for t:
[tex]16 t^{2} -128t +240 = 0 /16 \\ t^{2} - 8t +15 =0 \\ t_{1} = 5 t_{2} = 3[/tex]

We have two answers as the rocket will pass this height on it's way up and down.

2.
Height h = 0 feet
We insert it into formula.
[tex]0=-16 t^{2} +76t + 2[/tex]
Now we solve this for t:
[tex]16 t^{2} - 76t -2 = 0 /2 \\ 8t^{2} - 38t - 1 = 0 \\ t_{1} = 5 t_{2} = -1[/tex]
We do not consider solution -1 as the time can not be negative. Our solution is 5s.

3.
Height at bottom of hill h = 0 feet
We insert it into formula.
[tex] v^{2} = 64 * 0 = 0 ft/s[/tex]

The function f(x) = −(x + 5)(x + 1) is shown.

What is the range of the function?

a.all real numbers less than or equal to 4
b.all real numbers less than or equal to −3
c.all real numbers greater than or equal to 4
d.all real numbers greater than or equal to −3

Answers

They give you a graph so this will be easy. What I do is imagine shading going back to the y-axis from the graph. This is how to get a visual of the range.

Since the shading would go from 4 all the way to negative infinity, the answer is all real numbers less than or equal to 4.

Best of luck!

Range of the given function is all real numbers less than or equals to 4.

What is the range of the function?

The range of a function is the set of all its output values.

According to the given equation we have

f(x) = -(x+5)(x+1)

Let, y = -(x+5)(x+1)

To find the range of the given function, we will substitute different values of x.

At, x = -5

y = f(-5) = -(-5 +5)(-5+1) =0

At, x = -4

y = f(-4) = -(-4 + 5)(-4 + 1) = -(1)(-3) = 3

At, x = -2

y = f(-2) = -(-2+5)(-2+1) = -(3)(-1) =3

At, x = -3

y = f(-3) = -(-3 + 5)(-3 + 1) = -(2)(-2) =4

Similarly, we will find for the other values of x.

So, the coordinates are (-5, 0), (-4, 3), (-3, 4), (-2,3)

And the graph using this coordinates are already given. Here, the set of outputs are the values of y. So we can see that the range of the given function is all real numbers less than or equals to 4.

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A hybrid car averages 609 miles on a 12.5 gallon tank of gas. Manuel is planning a 1290- mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.

Answers

609 miles = 12.5 gallons
1 miles = 12.5 / 609
1 mile = 0.0205 gallon

1290 miles = 0.0205 gallons x 1290
= 26. 48 gallons

Final answer:

Using ratio and proportion, we deduced that Manuel's hybrid car travels 48.72 miles per gallon. Based on this, we estimated that Manuel would need around 26.5 gallons of gas for his 1290-mile vacation.

Explanation:

The subject at hand requires the utilization of ratio and proportion in mathematics, specifically in the context of fuel economy of cars. The hybrid car Manuel owns averages 609 miles on a 12.5 gallon tank. This implies that for every one gallon of gas, the car can travel 609 / 12.5 = 48.72 miles.

Now Manuel is planning for a 1290-mile trip. To ascertain how many gallons of gas he might expect to consume, we divide the total distance of the vacation by the miles per gallon for his car: 1290 miles / 48.72 miles/gallon = 26.5 gallons.

Therefore, Manuel can expect to consume approximately 26.5 gallons of gas for his 1290-mile vacation.

Learn more about Fuel Economy here:

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The nurse is preparing a woman for discharge after a birth and notes the mother's record indicates rh negative and rubella titer is positive. which nursing intervention will the nurse prioritize? Nelson finds a video game for $38.50. The game is on sale for $31.57. What is the percent of discount on the game? Habitat destruction is the leading cause for declining populations of species on our planet. Due to human development, industry, and forestry, humans are destroying the habitat of many species at an alarming rate. Consider the bald eagle. The bald eagle population was threatened in the late 60s and early 70s. Thanks to an aggressive bald eagle protection program, bald eagle numbers in the wild have soared as seen in the population graph above. The bald eagle's population very nearly reached extinction. Why did the bald eagle's declining population make it more vulnerable to extinction? Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + 2y = 12 x = y 6 A.(9, 3) B.(7, 1) C.(6, 0) D.(8, 2) Using complete sentences, answer the following questions about the themes in "The Cask of Amontillado": 1. How does the author want the reader to feel while reading "The Cask of Amontillado"? 2.What techniques does the author use to help you visualize the place, the people, and the events that are taking place within the story? 3.How has the author described the characters to make them seem like real people? 4.Does the author expect the reader to make an emotional connection to the story? Explain your answer. 5. Think back to the events that take place in "The Cask of Amontillado," and think about the attitudes and actions of the characters. Now, write a theme statement for "The Cask of Amontillado." Ajutor dau 25 de puncte plsssss Mark Y inside regular pentagon PQRST so that PQY is equilateral Is RYT straight? explain Someone plzz help me!!!Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. helppppppppppppppppppppp Read the excerpt from "Lessons of Dr. Martin Luther King, Jr." In our life and death struggle for justice we have turned to the court of last resort: the American people. And the people are ruling in our favor. As a result, grape sales keep falling. We have witnessed truckloads of grapes being dumped because no one would stop to buy them. As demand drops, so do prices and profits. The growers are under tremendous economic pressure. We are winning, but there is still much hard work ahead of us. I hope that you will join our struggle. Which sentence clearly states the purpose of Chavezs speech? "And the people are ruling in our favor." "As a result, grape sales keep falling.""As demand drops, so do prices and profits.""I hope that you will join our struggle." type of circuit does charge move in only one direction Which of these conditions is likely to worsen due to strong odors in the environment? Asthma Diabetes High blood pressure Heart disease A savings account was opened with an initial deposit and never touched again. An account that does not meet the minimum balance requirement is charged a service fee.Assuming the account was open with an initial deposit below the minimum amount, the current account balance, B, is equal to the product of the initial deposit, I, and the quantity of the difference of 1 and the monthly service fee, f, raised to the power of n, the number of months since the account was open. If an initial deposit of $2,713.00 is made to the account with a monthly service fee of 5%, what will be the value of B after 13 months? Round to the nearest cent. Both tiberius gracchus and gaius gracchus attempted (and failed) to pass major land reforms by using their elected office as It takes 4.2 joules of energy to raise the temperature of 1 gram of water by 1C. The _________ heat of water is 4.2 joules/gram C. A. specific B. general C. limited D. typical Complete this statement: The sum of the measures of the exterior angles of an n-gon, one at each vertex, is _____ degrees.a) 360b) (n-2)180c)[tex]\frac{(n-2)180}{n} [/tex]d) 180nPlease help ASAP. Humans usually live in houses or other buildings that protect them from environmental hazards, such as rain, snow, and extremely hot and cold temperatures. The roofs of buildings may be made from a variety of materials. Which of the following is a renewable resource that can be used to make roofs? Correct the tense inconsistency by writing the correct form of the verb in the space below.Mia is early for band practice, so she warms up before anyone else Why did Northern politicians support higher tariffs? Which ordered pair is a solution to the system of equations?