A car is driven 402.5 miles on 11.5 gallons of gas. Find the number of miles traveled per gallon of gas

Answer:

[tex]86\frac{2}{3}[/tex] yards²

Step-by-step explanation:

19 feet = [tex]\frac{19}{3}[/tex] yards

42 feet = 14 yards

14 × [tex]\frac{19}{3}[/tex] = [tex]\frac{266}{3}[/tex] = [tex]86\frac{2}{3}[/tex]

The manager should sale the bookshelf for $235.20

Step-by-step explanation:

Wholesale price of book shelf = $147.00

Mark up = 60% of original price

[tex]Mark\ up=\frac{60}{100}*147.00\\\\ Mark\ up=\frac{8820}{100}\\Mark\ up=\$88.20[/tex]

Total = Wholesale price + Mark up

[tex]Total= 147.00+88.20\\Total=\$235.20[/tex]

The manager should sale the bookshelf for $235.20

Keywords: mark up, percentage

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-3x +8y = -48

Add 3x to both sides:

8y = 3x -48

Divide each term by 8:

y = 3x/8 - 6

Answer Y=-45/8

Step-by-step explanation:

-3+8y=-48

-3+8y+3=-48+3

8y=-45

8y/8=-45/8

y=-45/8

Answer:

c 6 times that the answer

Final answer:

The second cube's side length is 6 times that of the first cube because the volume of a cube is a cubic function of its side length, and taking the cube root of 1/216 gives us 1/6.

Explanation:

The student's question is asking to determine how many times larger the side length of the second cube is compared to the first cube, given that the volume of the first cube is 1⁄216 times the volume of the second cube. The volume of a cube is calculated by raising the side length to the third power (V = s3). Therefore, if we denote the side length of the first cube as s and that of the second cube as S, we have s3 = 1⁄216S3. To find the side length ratio, we take the cube root on both sides of the equation, yielding s = 1⁄6S, which means the second cube's side length is 6 times that of the first cube.

The correct answer to the question is C, 6 times

Answer:

18

Step-by-step explanation:

The lower base will 18units.

quadrilatral whose one opposite sides are parallel.

The tangent of an angle is the ratio between the opposite side of the angle and the adjacent side of the angle.

tanθ=opposite side/adjacent side

So according to asked question

in the trpezoid VWXZ,

VW || XZ

Height of trapezoid= VZ =WY=8√3

VW=10

∠YWX=30°

∠WXY=60°

In triangle ΔWYX,

∠WYX=90°

ΔWYX is a right angle triangle

so, tan∠YWX= XY/WY

⇒tan30°=XY/8√3

⇒1/√3=XY/8√3

⇒XY=8√3/√3

⇒XY=8 units

the length of the lower base ZX= ZY+XY = VW+XY = 10+8=18units

Therefore the lower base will 18units.

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Answer:

5(2x-7)

Step-by-step explanation:

Answer:

45.64

Step-by-step explanation:

thats the answer

To round 45.6379 to the nearest hundred, we increase the digit in the tenths place by 1 and change all the numbers to the right of it to zeros.

To round 45.6379 to the nearest hundred, we look at the digit in the hundredth place, which is 5. Since 5 is greater than or equal to 5, we round up. Therefore, we increase the digit in the tenths place by 1 and change all the numbers to the right of it to zeros. The rounded number to the nearest hundred is 45.6400.

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The value of x in the equation is 11/15.

To find the value of x in the equation 5 1 10 x - 6 4 5 = 3 1 4, we need to isolate x on one side of the equation. Here's how you can solve it:

Step 1: Add 645 to both sides of the equation.

Step 2: Subtract 314 from both sides of the equation.

Step 3: Simplify the equation.

Step 4: Divide both sides of the equation by 510.

Step 5: Simplify the fraction.

Therefore, the value of x in the equation is 11/15, which is option B) 11/15.

8t+12s=180 and t=3s is the system of equations that represents the given scenario.

Step-by-step explanation:

Given,

Cost of a t-shirt = $8

Cost of a shorts = $12

t-shirt = t

shorts = s

Revenue earned = $180

According to given statement;

8t+12s=180

The store sold three times as many T- shirts as shorts.

t = 3s

8t+12s=180 and t=3s is the system of equations that represents the given scenario.

Keywords: linear equation, revenue

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Answer: 8t+12s=180;t=3s APEX

Answer:

y=4x+23

Step-by-step explanation:

The slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y = 4x + 23.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Slope-intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

And we have the given equation:

12x - 3y = 10

Arranging the equation as slope-intercept form.

3y = 12x - 10

Divide by 3,

y = 4x - 10/3.

And this line is parallel to the required line.

So, the slope of the required line;

m = 4

Hence, the slope-intercept form,

y = 4x+b  equation 1

To find y-intercept:

We substitute the value of x and y from the point (-5,3) to the slope-intercept form,

y = 4x + b

(3) = 4(-5) + b

b = 20 +3

b = 23

Now, the equation 1

y = 4x + 23

Therefore, y = 4x + 23 is the required slope-intercept form.

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Answer: 1/2

Step-by-step explanation: In this problem, we're tossing a coin and we want to find the probability of tossing a heads.

Now, let's find the probability of tossing a heads.

Remember that a coin has two sides which are heads and tails. When you flip a coin, each side is as likely to come up as the other. This means that the probability of flipping heads is the fraction 1/2.

Since the probability of flipping a heads is 1/2, we can also say that the probability of flipping a heads is 50%.

Therefore, the probability of flipping a heads on a fair coin is 1/2.

Answer:

Diameter is 11.14

Step-by-step explanation:

c=dπ

so... 35=dπ

 solve for d:

      35/π=d

11.14=d

Answer:

11.14

Step-by-step explanation:

/calculators/circumference-calculator/

Answer:

2.1 x 10^8

Step-by-step explanation:

2.1*10^8

The first number can not exceed ten so just count how many decimal place it would be and that should be the power.

Answer: $90

Step-by-step explanation: First, we can change "one dozen" to 12 since it represents the same value.

To find out how much 12 cases of merchandise will cost, we will need to find the unit price per case of merchandise.

Unit price means the cost per unit in this case, the cost per case of merchandise.

Since we know that it costs $60 for 8 cases of merchandise, to find the cost for 1 case of merchandise, we need to divide 8 into $60 or $60 ÷ 8.

60 ÷ 8 = 7.50

Now, we know that it costs $7.50 for 1 case of merchandise.

To find the cost for 12 cases of merchandise, we will multiply the cost for 1 case of merchandise by the number of cases of merchandise we have.

In this case, we will multiply 7.50 by 12 which gives us 90.

Therefore, a dozen cases of merchandise will cost $90.

Answer:

y-6=-4(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=-4

y-6=-4(x-(-1))

y-6=-4(x+1)

Answer:

y-6=-4(x+1)

Step-by-step explanation:

Plato

Answer:

f(3)=7

Step-by-step explanation:

f(x)=7

f(3)=7

The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17

Step-by-step explanation:

Let us revise how to differentiate an equation with respect to x

If the equation is [tex]y = ax^{n}+b[/tex] , where a , b are constant

∵ P = 0.2x² - 17x - 10

- Let us differentiate each term

∵ The differentiation of 0.2x² is [tex]0.2(2)x^{2-1}=0.4x^{1}=0.4x[/tex]

∵ The differentiation of -17x is [tex]-17(1)x^{1-1}=-17x^{0}=-17(1)=-17[/tex]

∵ The differentiation of -10 is zero because the differentiation

    of the numerical term is 0

∴ The differentiation of P is P' = 0.4x - 17

The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17

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Answer:

4 5/12

Step-by-step explanation:

4 3/4 = 19/4

19/4 = 57/12

1/3 = 4/12

57/12 - 4/12 = 53/12 = 4 5/12

For the function f(x) = x^2 range will be { 4 , 16 , 68 , 81 }

Given that:

[tex]\text {Function is } f(x)=x^{2}[/tex]

Domain of the function is {-2, 4, 8, 9}

Need to determine range of the function.

Domain of the function is possible input of the function that is x and range of the function is possible output of the function that is f(x)  

As there are only four input values for x that are -2,4,8,9 we can determine the range by calculating value of f(x) for each of the x

[tex]\begin{array}{l}{\text {At } x=-2:} \\\\ {f(x)=f(-2)=-2^{2}=4}\end{array}[/tex]

[tex]\begin{array}{l}{\text {At } x=4:} \\\\ {f(x)=f(4)=4^{2}=16}\end{array}[/tex]

[tex]\begin{array}{l}{\text {At } x=8:} \\\\ {f(x)=f(8)=8^{2}=64} \\\\ {\text {At } x=9:} \\\\ {f(x)=f(9)=9^{2}=81}\end{array}[/tex]

Thus the range of given function is { 4 , 16 , 68 , 81 }

Answer:

2nd graph on edge 2020

Step-by-step explanation:

the line will cross the y-axis at y = 1.5 and the line will be a broken line

Inequality graphs

The inequality functions are not separated by an equal sign.

For the inequality 4x + 2y < 3, the lower portion of the graph will be shaded

Determine the y-intercept. If x = 0

4(0) + 2y < 3
2y < 3

y < 1.5

This shows that the line will cross the y-axis at y = 1.5 and the line will be a broken line as shown:

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Answer:

Convert fraction (ratio) 259 / 300 Answer:86.3%

When [tex]\(a = -0.5\) and \(b = 5\), the value of \(4a + b\) is \(3\).[/tex]

To find the value of [tex]\(4a + b\) when \(a = -0.5\) and \(b = 5\)[/tex], we simply substitute the values of a and b into the expression 4a+b and then perform the arithmetic.

Given that [tex]\(a = -0.5\) and \(b = 5\)[/tex], we have:

[tex]\[4a + b = 4(-0.5) + 5\][/tex]

Now, let's calculate:

[tex]\[4a + b = -2 + 5\]\[4a + b = 3\][/tex]

Answer:

10/31

Step-by-step explanation:

I'm pretty certain this is the answer, since 10/31 cannot be simplified any further; 31 being the total days in the month of May

A 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.

To find the fraction of the month that 10 days represent, we can divide the number of days represented by 10 by the total number of days in the month, which is 31.

Fraction = (Number of days represented) / (Total number of days in the month)

Fraction = 10 / 31

Therefore, 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.

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Answer:

2060

Step-by-step explanation:

x=5*15

b=11*189

-------------

x=75

b=2079

b-x+56=2079-75+56=2060

Answer:

i just want points

Step-by-step explanation:

Answer:

x=-5, 3

Step-by-step explanation:

(x+5)(x-3)=0

Apply the zero property,

set x+5=0 and x-3=0.

x=0-5=-5

x=0+3=3

x=-5, 3

Answer:

b&e

Step-by-step explanation:

Answer:

The definition of a control experiment is a test where the person conducting the test only changes one variable at a time in order to isolate the results. An experiment where all subjects involved in the experiment are treated exactly the same except for one deviation is an example of a control experiment.

Step-by-step explanation:

Answer/Explanation:

You need a control to show how 1 changed variable will change to result.

Answer:

Votes received by Billy =15

Step-by-step explanation:

Given:

Total students in the class = 20

Billy receives 3 times more vote than Keeton.

To find the number of votes Billy receives.

Solution:

Let number of votes Keeton gets [tex]=x[/tex]

∴ Billy received [tex]=3x[/tex] votes

Expression for total votes can be given by ⇒ [tex]x+3x[/tex]

Total votes =20 as number of students is 20.

So, the equation to find [tex]x[/tex] is:

[tex]x+3x=20[/tex]

Solving for  [tex]x[/tex]

⇒ [tex]4x=20[/tex]

Dividing both sides by 4.

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

∴ [tex]x=5[/tex]

∴ Votes received by Keeton = 5

Votes received by Billy = [tex]3\times 5[/tex] = 15

Answer:

B

Step-by-step explanation:

Given

3(2x - 8) - 11x ← distribute parenthesis

= 6x - 24 - 11x ← collect like terms

= - 5x - 24 → B

Answer D). 9 ft is correct

Height of the ball at a horizontal distance of 10 feet is 9 ft

Step-by-step explanation:

A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).

Y(x) = [tex]-0.02x^{2} +0.8x+3[/tex]

Question asked is " What will be height (Y) of the ball when X=10 ft "

Simply putting value of X in given equation

we get,

Y(x) = [tex]-0.02x^{2} +0.8x+3[/tex]

Y(x) = [tex]-0.02(10)^{2} +0.8(10)+3[/tex]

Y(x) = [tex]-0.02(100)} +8+3[/tex]

Y(x) = [tex]-2 +8+3[/tex]

Y(x) = [tex]9[/tex]

Therefore, Height of the ball at a horizontal distance of 10 feet is 9 ft

Answer D.  9 ft is correct

The height of the ball at a distance of 10 feet according to the given equation is 9 feet (option D). This was achieved by substituting the value of 10 into the equation.

To find the height of the ball at a distance of 10 feet, you need to substitute the value for the horizontal distance (x) in the given equation. The equation modeling the ball's height is: Y=-0.02x^2+0.8x+3. So, we replace x with 10 in this equation, as follows:

Therefore, the height of the ball at a distance of 10 feet is 9 feet, so option D is correct.

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Answer:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

hope this helps<3

Step-by-step explanation: