Joe can buy a pair of canvas shoes for $7 or a pair of leather shoes for $35. At these prices, what is the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes?

A. 1/10
B. 1/5
C. 2/5
D. 2/15
E. 3/10

Answers

Answer 1

Final answer:

The ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes is D. 2/5.

Explanation:

To find the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes, we need to calculate the total cost of each option.

For 6 pairs of canvas shoes, the cost is $7 per pair, so the total cost is 6 x $7 = $42.

For 3 pairs of leather shoes, the cost is $35 per pair, so the total cost is 3 x $35 = $105.

Therefore, the ratio is $42 : $105, which simplifies to 2/5.


Related Questions

Which best describes what is happening in section C? His car is stopped. His car is speeding up. His car is slowing down. His car is traveling at a constant speed.

Answers

His car is slowing down.

The best describes what is happening in section C is His car is slowing down.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.

As, from the speed versus time graph we can see that section C occurs in between section B and D.

In section B,

line is horizontal which means the car is at constant high speed.

In section D,

line is also horizontal which means the car is at a constant low speed.

In section C,

the line goes down to the right which shows that from section B to D there is decrease in speed of car. So, in section C the car in movement of slowed down.

Hence, in section C is car is slowing down.

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Paul has a coupon for $2.50 off a box of name brand cereal that normally costs $12.78 the store brand cereal costs $10.98 how much will Paul save if he uses his coupon and buys the name brand cereal instead of the store brand cerial

Answers

The given facts here would be :
 
1.Name brand cereal: $12.78 and Store brand cereal: $10.98.
2. Coupon for $2.50 off on the name brand.

What the question is asking is how much would he save if he used the coupon. So you would need to know how much it will be after the coupon is used. Here is the following steps to this question:

Step1 find out the price after coupon:


Regular price 12.78-Coupon worth 2.50 = 10.28
Now after knowing the price after coupon we need to find how much she saved


Step2 finding how much Pual saved after using to coupon and buy the named brand


Store brand price 10.98 -The price after discount 10.28 = $0.70


So Pual saved $0.70 by using the coupon and buying the named brand cereal.



Hope it helps!

what is the solution of the equation x^2-1=0

Answers

x^2 - 1 = 0
x^2 -1^2 = 0
(x + 1) (x - 1)  = 0
x + 1 = 0 or x - 1 = 0
x = -1 or x = 1

Ans: -1 and 1
(x^2 - 1) factors. This is a basic factoring procedure. Make sure you know it
Solve it like this 
x^2 - a^2 = (x + a)(x - a)

so for x^2 - 1 you get
(x + sqrt(1) )  (x - sqrt(1) = (x + 1)(x-1) 
x^2 - 1 = (x + 1)(x - 1)

(x - 1)(x + 1) =0
x - 1 =0
x = 1

x + 1 = 0
x = - 1

The two answers are x = 1 and x = - 1
You might want to try these. If you post the answers, I'll tell you how you did. Just make comments
x^2 - 25 = 0
x^2 - 9 =0
x^2 - 36 = 0
x^2 - 49 = 0

f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots

Answers

x4 − 4x3 − 4x2 + 36x − 45=(x-3)(x^3-x^2-7x+15)
x=3 is root of this function

Answer:

the answer is 4 not three


Give the coordinates of the points after a reflection over the line y=-4

A( 4,5) A' (_,_)

B(0,4) B' (_,_)

C(-2,1) C' (_,_)


use algebraic representation and please show your work !

Answers

The line y = -4 will be the midpoint between the y-value of X and the y-value of X'. That means
.. (y +y')/2 = -4
.. y +y' = -8
.. y' = -8 -y
The x-coordinate remains unchanged.

A' = (4, -8-5) = (4, -13)

B' = (0, -8-4) = (0, -12)

C' = (-2, -8-1) = (-2, -9)

A line has a slope of 0 and passes through the point
(7, 7). What is its equation in slope-intercept
form?

Answers

The equation of a line in slope-intercept form is [tex] y=mx+c [/tex].

Where [tex] m [/tex] is slope and [tex] c [/tex] is y-intercept.

Since [tex] m=0 [/tex], the equation of the line is [tex] y=(0)x+c\\ y=c [/tex].

Since this line passes through [tex] (7,7) [/tex]. The equation of the line is

[tex] y=7 [/tex]

The equation of a line in slope-intercept form is y=mx+c .

Where m is slope and c is y-intercept.

Since m=0 , the equation of the line is y=(0)x+c\\ y=c .

Since this line passes through (7,7) . The equation of the line is

y=7

Give the values a, b, and c needed to write the equations standard form. 2/3(x-4)(x+5)=1

Answers

The standard form of the quadratic equation is given by:
 ax ^ 2 + bx + c
 What we must do in this case is to rewrite the given equation.
 We have then:
 2/3 (x-4) (x + 5) = 1
 (x-4) (x + 5) = 3/2
 (x ^ 2 + 5x-4x-20) = 3/2
 2x ^ 2 + 2x-40 = 3
 2x ^ 2 + 2x-43 = 0
 Thus, the values of a, b and c are:
 a = 2
 b = 2
 c = -43
 Answer: 
 a = 2
 b = 2
 c = -43

Answer:I agree

Step-by-step explanation:

An isosceles triangle with angles measuring 50°, 50°, and 80° undergoes a translation, rotation, and reflection.

Determine whether the angle measures of the image of the triangle are 50°, 50°, and 80° after each transformation.

Select Yes or No for each transformation.

{Translation}

Yes?
or
No?

{Rotation]

Yes?
or
No?

{Reflection}

Yes?
or
No?

Answers

Given the isosceles measures 50, 50 and 80. The angle measures of the image after:
Translation will be the similar as that of the pre image, that means they will retain the same value of 50, 50 and 80.
The answer is yes.

Rotation will be similar to that of the preimage. This is because rotation of the figure will only affect the position of the original figure and not the size of the figure. Therefore the size of the angles will be 50, 50 and 80.

Reflection will be the same as that of the preimage, reason being the reflected figure always has the same size as the object and it is always same distance as the preimage is in front of the mirror.

For the isosceles triangle undergoing transformations, the angle measures will change for translation but remain the same for rotation and reflection.

No for Translation because translations do not change angle measures.

Yes for Rotation because rotations preserve angle measures.

Yes for Reflection because reflections preserve angle measures.

helppppppppppppppppppp

Answers

What we can do for this case is to graph both functions:
 y = (x + 2) ^ 3
 y = x ^ 2 + 3
 Then, we see the behavior of the functions:
 blue: y = (x + 2) ^ 3
 red: y = x ^ 2 + 3
 answer:
 2 units rigth and 3 units up
 (option 3)
See attached graph.

5.1x10^-1 as an ordinary number?

Answers

10^-1  = 0.1

so its 5.1 * 0.1  = 0.51 Answer

Convert [tex]\( 5.1 \times 10^{-1} \)[/tex] to an ordinary number, the, [tex]\( 5.1 \times 10^{-1} \)[/tex] as an ordinary number is 0.51.

To convert [tex]\( 5.1 \times 10^{-1} \)[/tex] to an ordinary number:

1. Identify the exponent: The exponent is -1.

2. Understand the meaning: [tex]\( 10^{-1} \)[/tex] means "divide by 10".

3. Apply the operation: Divide 5.1 by 10.

4. Move the decimal point: To divide by 10, shift the decimal point in 5.1 one place to the left.

5. Result: Moving the decimal point one place to the left changes 5.1 to 0.51.

Thus, [tex]\( 5.1 \times 10^{-1} = 0.51 \)[/tex].

Complete question:- What is [tex]5.1 * 10^{- 1[/tex] as an ordinary number?

solve the following system of equations: -2x+y=1
-4x+y=-1
A)(3,1)
B)(-1,3)
C)(-1,-3)
D)(1,3)

Answers

You can subtract the second equation from the first:
.. (-2x +y) -(-4x +y) = (1) -(-1)
.. 2x = 2 . . . . . . . . . . . . . . . . . . . simplify
.. x = 1 . . . . . . . . . . . . . . . . . . . . . divide by 2

This corresponds to selection D) (1, 3).

What is the cosecant of angle y?

Answers

check the picture below.

The cosecant of angle y is z/y.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse = z

Perpendicular = y

Base = x

As, Cosecant is the ratio of Hypotenuse to perpendicular

Using Trigonometry

cos y = H/ P

cos y = z/ y

Hence, the cosecant of y is z/y.

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Which of the following best describes an unpredictable event

A. The outfit a person will wear on a particular day 3 years from now
B. The moment a car runs out of gasoline
C. The grade a student gets in a class on a final report card
D. The amount of money in a savings account

Answers

A. because people change

PLEASE HELP
7.02

1. Determine whether the sequence converges or diverges. If it converges, give the limit.
60, 10, five divided by three , five divided by eighteen , ...


A) Converges; 72
B) Converges; 0
C) Diverges
D) Converges; -15540

2. Find an explicit rule for the nth term of the sequence.
1, 3, 9, 27, ...

A) an = 1 • 3n + 1
B) an = 3 • 1n - 1
C) an = 1 • 3n - 1
D) an = 1 • 3n

3. Find an explicit rule for the nth term of the sequence.
-5, -25, -125, -625, ...

A) an = -5 • 5n
B) an = 5 • -5n + 1
C) an = 5 • -5n
D) an = -5 • 5n - 1

4. Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

A) an = 2 • 3n - 1
B) an = 2 • (-3)n - 1
C) an = 2 • 3n
D) an = 2 • (-3)n + 1

5. A certain radioactive isotope has a half-life of 11 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answers

1. B
2. C

5. 
TABLE
0   32 
5   16 
10  8 
15  4 
20  2 

after 25 days ----> from 32g to 1g
first column: increments of +5; arithmetic sequence
second clmn: x5 ; geometric sequence




Consider this option (no.1,2,3,4).
Answers:
1-A, 2-C, 3- D, 4- B.

Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0.

Answers

Final answer:

To model Amare's height above the ground as a function of time, use the equation h(t) = 2 + 2 * sin((2 * pi * t) / 6)

Explanation:

To determine a function to model Amare's height above the ground as a function of time, we can use the equation of motion for circular motion. The height of Amare above the ground can be calculated using the equation:

h(t) = r + R * sin(theta)

Where:

h(t) is the height above the ground at time t

r is the radius of the wheel (half the diameter)

R is the maximum height above the ground (given as 4 meters)

theta is the angle in radians, which is related to time by the formula theta = (2 * pi * t) / T, where T is the time for one revolution (given as 6 minutes)

Putting all these values into the equation, we get:

h(t) = 2 + 2 * sin((2 * pi * t) / 6)

I need help checking my work. MEDALS!!! will be awarded. I chose C.

Kidneys process nitrogenous wastes by
A) seperating water from nitrogenous wastes by passive diffusion.

B) using cells to actively pump water across a membrane.

C) storing the wastes as uric acid until they can be eliminated.

D) pumping ions across membranes to separate water from waste products.

Answers

The answer is "A", seperating water from nitrogenous wastes by passive diffusion because it only makes sense to separate the bad stuff (wastes) from the water which in turn processes the waste through and out the kidney.

PLEASE HELP!
Which transformations will produce similar, but not congruent, figures?

​ A)Triangle MNO ​ is reflected across the y-axis and then rotated 180° clockwise to form ​ triangle M"N"O" ​ .

​ B)Triangle MNO ​ is reflected across the y-axis and then dilated by a scale factor of 1.8 to form ​ triangle M"N"O" ​ .

C)​ Triangle MNO ​ is reflected across the x-axis and then translated 9 units down to form ​ triangle M"N"O" ​ .

D)Triangle MNO is reflected across the x-axis and then rotated 90° clockwise to form triangle M"N"O" .

Answers

b it is similar but not congurent

Please help

Part 1.] Match these items.
1.) The positive integers
2.) An ordering of quantities
3.) 2, 4, 8, 16, . . ., 256
4.) 1, 3, 5, 7, . . .
5.) No first term is available
A.) An example of a finite sequence
B.) A sequence
C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
D.) The natural numbers
E.) An example of an infinite sequence

Part 2.] Write the first five terms of the sequence. [tex] a_{n}= n^{2}+2[/tex]
A.] 3,6,11,18,27
B.] 3,6,9,12,15
C.] 2,3,6,11,18

Part 3.] Write the first five terms of the sequence. [tex] a_{n}= -1( \frac{1}{3})^{n-1}[/tex]
A.] -1,-3,-9,-27,-81
B.] -1,[tex] \frac{-1}{3},\frac{-1}{9},\frac{-1}{27},\frac{-1}{81} [/tex]
C.] -1,[tex] \frac{1}{3},\frac{-1}{9},\frac{1}{27},\frac{-1}{81} [/tex]

Part 4.] In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if it exists, and if possible find the sixth term. [tex]2a,2a^{2}b,2a^{3}b^{2},2a^{4}b^{3}...[/tex]

Answers

Part 1
1) The positive integers          ----------->  D.) The natural numbers
2.) An ordering of quantities  -----------> B.) A sequence
3.) 2, 4, 8, 16, . . ., 256            ----------->  A.) An example of a finite sequence
4.) 1, 3, 5, 7, . . .                        ----------->  E.) An example of an infinite sequence
5.) No first term is available   ----------->  C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
Part 2
[tex]a_n=n^2+2\\ a_1=1+2=3\\ a_2=4+2=6\\ a_3=9+2=11\\ a_4=16+2=18\\ a_5=25+2=27 [/tex]
The answers is A.
Part 3
[tex]a_n=-1(\frac{1}{3})^{n-1} \\ a_1=-1(\frac{1}{3})^{1-1}=-1\\ a_2=-1(\frac{1}{3})^{2-1}=-\frac{1}{3}\\ a_3=-1(\frac{1}{3})^{3-1}=--\frac{1}{9}\\ a_4=-1(\frac{1}{3})^{4-1}=--\frac{1}{27}\\ a_5=-1(\frac{1}{3})^{5-1}=--\frac{1}{81}\\ [/tex]
The answers is B.
Part 4
The pattern in this sequence is:
[tex]a_n=2a^nb^{n-1}[/tex]
Let's list first six terms:
[tex]a_n=2a^nb^{n-1}\\ a_1=2a^1b^0=2a\\ a_2=2a^2b^1=2a^2b\\ a_3=2a^3b^2\\ a_4=2a^4b^3\\ a_5=2a^5b^4\\ a_6=2a^6b^5\\[/tex]
This is a infinite sequence. The patern is obvious and we could find any term within the sequence.


Final answer:

The questions involve matching concepts related to sequences, finding the first terms of given sequences, and analyzing an infinite sequence. The correct matches were 1-D, 2-B, 3-A, 4-E, 5-C. Options C and C were correct for Parts 2 and 3, while for Part 4, the sequence was infinite, with the sixth term as [tex]2a^{6}b^{5}[/tex].

Explanation:

For Part 1, the correct matching of the items would be as follows:

1 - D (The positive integers can also be referred to as natural numbers)2 - B (A sequence is simply an ordering of quantities)3 - A (2, 4, 8, 16, ... , 256 is a finite sequence because it ends at 256)4 - E (1, 3, 5, 7, ... is an infinite sequence because it goes on indefinitely)5 - C (The numbers -4, -2, 0, 2, 4, ... can't be a sequence because there is no first term)

For Part 2, Option C is correct. The first five terms of the sequence [tex]a_{n} = n^{2} + 2[/tex] are 3, 6, 11, 18, 27, as these are the results you obtain when you plug the first five positive integers into the formula.

For Part 3, Option C is correct. The first five terms of the sequence [tex]a_{n} = -1 * (1/3)^{n-1}[/tex] are -1, 1/3, -1/9, 1/27, -1/81. Notice the alternating signs due to the factor of -1.

For Part 4, the sequence [tex]2a,2a^{2}b,2a^{3}b^{2},2a^{4}b^{3}...[/tex] is infinite since there is no last term. The pattern involves progressively increasing the powers of a and b in each term. The sixth term would be [tex]2a^{6}b^{5}[/tex] following this pattern.

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I don't understand this question.
the instructions say: "In exercises 1-4,tell whether the ordered pair is a solution of the inequality."

Answers

x - y > 2 at (5, 4)
5 - 4 > 2
1 > 2

(5, 4) is not a solution to this inequality

I really need help ASAP

Answers

You know that
.. tan(a) = 78'/36'
.. a = arctan(78/36) ≈ 65.22°

You also know that
.. a = c = k = j
and that
.. a +c +e = 180°
.. e = g = 180° -2a = 49.55°

f = h = 180° -e = 130.45°

Of course the other corner angles are
.. b = d = i = l = 90° -a = 24.78°


_____
One bit of trigonometry and the rest is arithmetic.

12. triangle KMP is isosceles with KM = KP. MX and PY are angle bisectors.

a. Is there enough information to prove triangle WMP is an isosceles
triangle? Explain.

b. Can you conclude that MX and PY are medians?

c. What one additional piece of information would allow you to prove
that MX and PY are altitudes?


triangle below

Answers

A: An isosceles triangle is defined as having 2 sides measurements that are equal, and they have equal base angles as a result. If KM and KP are equal then they fit the definition of an isosceles triangle. If KMP is an isosceles triangle and they both have the same base angles. If the base angles are bisected they have the same base angle measurement making WMP also an isosceles triangle

B: Yes, because the angle bisectors of MX and MP would also bisect the sides making them both medians.

C to prove that they were Altitudes we would need to know that the base angles of KMP are 60 degrees. if they are 60 degrees they would create two 30-60-90 triangles with the 90 degrees going from the center of the side directly up, perpendicularly to the altitude. (this would also make the triangle an equilateral triangle)

What is the hypothesis in the following conditional statement? "If it is a Friday then Josie will receive her paycheck." A. It is a Friday. B. It is not a Friday. C. Josie will receive her paycheck. D. Josie will not receive her paycheck.

Answers

Josie will receive her paycheck

Answer:

C. Josie will receive her paycheck.

Step-by-step explanation:

The hypothesis is that Josie will have her paycheck.

The conditional thing of that hypothesis is that she needs to wait until Friday and then, she can have her paycheck.

You can see this because the main here is to get the paycheck.

And the thing that can change, without changing the main hypothesis, is the day she will receive that check.

6. The cost C of joining FitFast Gym includes an initial membership fee of $127, plus a monthly
fee, m, of $28.
a. The cost of going to the gym is a function of the number of months of membership. Find a
rule for the function.
b. Find the cost of using the gym for 9 months

Answers

The function rule would be f(m)=127+28m. This is because the membership fee, $127, is added to the monthly cost, which is given by 28×m, the number of months.
The cost of gym membership for 9 months then would be f(9)=127+28(9)=127+252=$379.

Answer:

Step-by-step explanation:

The function rule would be f(m)=127+28m. This is because the membership fee, $127, is added to the monthly cost, which is given by 28×m, the number of months.

The cost of gym membership for 9 months then would be f(9)=127+28(9)=127+252=$379.

Solve this problem. Find the number of gallons of paint needed to cover all four sides four sides) of the building shown with two coats of paint if one gallon covers 350 square feet. Disregard windows and doors. Round to the nearest gallon.

Answers

the complete question in the figure attached

1) calculate the area all four sides
A=[12+9+12+9]*8=336 ft²

if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember 
that there are two coats of paint
therefore
0.96*2----------- > 1.92------- > 2 gallons

the answer is 2 gallons

Answer: the answer is 3 gallons of paint is required to paint the building.

Step-by-step explanation:

The area to be painted is:

= 2× [Area of Rectangle with dimensions 20 ft.×10 ft.+Area of triangle with height 5 ft. and base 20 ft.+Area of rectangle with dimensions 24 ft. and 10 ft.]

=2×[20×10+(1/2)×5×20+24×10]

=2×[200+50+240]

=2×490

=980 square ft.

Hence, the area to be painted=980 square feet.

Now, amount of paint require to cover 350 square feet=1 gallon.

i.e. 1 square feet requires=1/350 gallon of paint.

⇒ 980 square feet requires=980/350=2.8 gallons of paint.

Hence, to the nearest gallon we could say that:

3 gallons of paint is required to paint the building.

The volume of right circular cylinder a is 22 cubic centimeters. what is the volume, in cubic centimeters with twice the radius and half the height?

Answers

we know that
 [volume of right circular cylinder]=pi*r²*h
Vo=pi*r²*h--------------> original volume
Vo= 22 cm³

if twice the radius and half the height
r1=2*r
h1=h/2

then
V1=pi*ri²*h1
substituting
V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h
V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³

the answer is 44 cm³


Final answer:

To find the volume of the new cylinder with twice the radius and half the height, use the formula for the volume of a cylinder and substitute the new values. The volume of the new cylinder is also 22 cubic centimeters.

Explanation:

To find the volume of the new cylinder with twice the radius and half the height, we can use the formula for the volume of a cylinder: V = πr2h.

First, we double the radius of the original cylinder. Let's say the original radius is r. The new radius would be 2r.

Next, we halve the height of the original cylinder. Let's say the original height is h. The new height would be h/2.

Substituting these values into the volume formula, we get the volume of the new cylinder as V = π(2r)2(h/2)=4πr2(h/2)=2πr2h.

So, the volume of the new cylinder is also 22 cubic centimeters.

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Which set of ordered pairs represent a function

Answers

the 3rd set, no x or y numbers are repeated.

Answer: second set

Step-by-step explanation:

A standard number cube is rolled two times. What is the probability that the sum of the two rolls is 13?

Answers

0% chance because the highest a dice can roll is 6. 6+6= 12. Therefore it impossible for two rolls to sum to thirteen.

The radius and height of a right cylinder are each multiplied by 2. what is that change in the total surface area of the cylinder

Answers

When the linear dimensions are changed by a factor of 2, the area is changed by a factor of 2^2 = 4.

The total surface area is multiplied by 4.
Final answer:

When both the radius and height of a right cylinder are multiplied by 2, the change in the total surface area is 4 times the original surface area.

Explanation:

The total surface area of a right cylinder is given by the formula A = 2πrh + 2πr², where r is the radius and h is the height. When both the radius and height are multiplied by 2, we can calculate the change in the total surface area:

The new radius is 2r, so the new area of the bases is 4πr².The new height is 2h, so the new area of the lateral surface is 2π(2r)(2h) = 8πrh.Therefore, the total surface area of the new cylinder is A' = 4πr² + 8πrh = 4(πr² + 2πrh) = 4A.

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Solve the inequality and then graph its solution: 7s + 12 > 46 - 10s

Answers

7s + 12 > 46 - 10s

Add 10s to both sides:

17s + 12 > 46

Subtract 12 to both sides:

17s > 34

Divide 17 to both sides:

s > 2

The inequality graphed would have an open dot on 2 and the arrow would be going to the right.

what is the value of x?

Answers

Answer:

  x = 5

Step-by-step explanation:

In this figure with two similar triangles, corresponding edges are proportional. The proportion can be written several ways. One of them is ...

  (x+5)/(x+1) = (x)/(x-2)

Multiplying by the product of denominators gives ...

  (x -2)(x +5) = (x +1)(x)

  x^2 +3x -10 = x^2 +x . . . eliminate parentheses

  2x = 10 . . . . . . . . . . . . . . add 10 -x -x^2

  x = 5 . . . . . . . . . . . . . . . . divide by 2

Other Questions
Molly says that 4/8 is always the same as 1/2. Andrew says that 4/8 and 1/2 are equivalent fractions, but they could be different amounts. Use the models below to determine which student is correct. Explain. Match the reasons with the statements in the proof.1.j||k, m3 = m1If alternate interior angles are =, then lines are ||.2.m1 = m2Substitution3.m2 = m3Given4.l||mIf lines are ||, then corresponding angles are =. Definition: created in 1935 under the new deal, it aimed to stimulate the economy during the great depression and preserve the skills and self-respect of unemployed persons by providing them useful work. True or false as First Lady of the United States, Eleanor Roosevelt was an advocate for gender and racial equality? an acute angle is in a right triangle with cos 9/10. What is the value of sec? A support beam to be placed at a 28 angle of elevation so that the top meets a vertical beam 1.6 meters above the horizontal floor. Thanks vertical beam meets the floor at a 90 angle. Law of sin: sin(A)/a=sin(B)/b=sin(C)/cApproximately how far the vertical beam should the lower end of the support be placed along the horizontal floorA)3.0 metersB)3.4 metersC)3.9 metersD)4.4 meters Which word is spelled incorrectly?There were alot of teachers in attendance at the annual science fair. What is the first step to be done when solving this equation: 3(x-2+3) + 5 = 25 T __________ (mirar) la pizarra. When entering your answers for fill in the blank and essay questions, please be sure to use accent marks and/or correct punctuation to avoid your answer being marked incorrect. You may copy and paste the accented character or punctuation mark from this list if needed: Answer for Blank 1: A soup recipe calls for 23/4 quarts of broth. An open can of broth contains 1/2 quart of broth. How much more broth do you need to make the soup? Explain how Poe uses setting, structure, and order of events to create mystery and tension in "The Cask of Amontillado." Write 3-5 sentences. The complement of an angle is 8 times as large as the angle. find the measure of the complement Which best describes the extent of the Roman Empire at its heightA-One of the largest in history, with an area occupied by more than 30 countries today B-of medium size, with that area occupied by about 15 country todayC-what are the smallest in history, with an area occupied by Italy and Greece todayD-of medium size,with all of its territory found on one continent What was the role of philosophy in medieval thought? What were early philosophers contemplating? How did early Church leaders affect philosophical ideas? Your answer should be at least 150 words. Define the following terms : tapestry , monument , portrait How did Jefferson decrease the size of the federal government? Frank and his team are building sedimentation ponds to hold runoff water in a landfill. Which component of MSW landfill are they building?cellcoverbottom linerstorm water drainage system It is best to receive a completed ________ before paying an invoice Many Head Start programs have a community aide who A. tutors at-risk children in the home. B. connects families to community resources they need. C. represents families at family/teacher conferences. D. gives families the money they need to survive. A major reason for the decline of the Roman Empire was