A roofing contractor buys 30 bundles of shingles and 4

rolls of roofing paper for $1040.

In a second purchase (at the same prices), the

contractor buys 12 bundles of shingles and 16 rolls of

roofing paper for $2000.

Create and solve a system of equations in order to

determine how much each bundle of shingles (x) and

roll of roofing paper (y) would cost

Answers

Answer 1

Answer:

Cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.

Step-by-step explanation:

Let the cost of each bundle of shingles = x

And cost of the roofing paper = y

Contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040.

30x + 4y = 1040

15x + 2y = 520 -----(1)

In a second purchase contractor buys 12 bundles of shingles and 16 rolls of roofing paper for $2000

12x + 16y = 2000

3x + 4y = 500 --- (2)

Equation (1) multiplied by 2 then subtracted from equation (2)

(3x + 4y) - 2(15x + 2y) = 500 - 1040

(3x - 30x) + (4y - 4y) = -540

-27x = -540

x = 20

From equation (1)

15(20) + 2y = 520

300 + 2y = 520

2y = 220

y = 110

Therefore, cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.


Related Questions

18 A bank charges a $ 10 fee to open an
account. Which of the following equations
best represents the total amount in the
account, m, when starting with d, dollars?
A. m = d + 10
B. m = d - 10
C. m - 10 = d
D. m + d = 10

Answers

The answer is A
Hope this helps :)
the answer is D! hope it helped

Please answer the question below:​

Answers

Answer:

A 12 x 6

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

In 2005, there were 560 students in the eighth grade class at Maddison Middle School. In 2006, there were 590 students and in 2007 there were 616 students. What is the percent of increase from 2005 to 2007?

Answers

Answer:

5.357142857

Step-by-step explanation:

write an algebratic expression for the are of the rectangle below. PLS HELP DUE IN 10 MIN​

Answers

Answer:

3(x*-4)

Step-by-step explanation:

Answer:

can I see the rest of the problem?

Step-by-step explanation:

round your answer to two decimal places. x + 1/x+3=3/5

Answers

Answer:

X=2

Step-by-step explanation:

Please mark answer as brainliest

Semira’s puppy weighs 12.4 pounds and is growing at a rate of 0.8 pound per week. Cedric’s puppy weighs 9.2 pounds and is growing at a rate of 1.2 pounds per week. Let x represent the time in weeks and y represent the weight of the puppy in pounds. Which system of equations can Semira and Cedric use to determine after how many weeks their puppies will weigh the same?
{y=0.8x+12.4
{y=1.2x+9.2

{y=12.4x+0.8
{y=9.2x+1.2

{y=0.8x+1.2
{y=12.4x+9.2

{y=1.2x+0.8
{y=9.2x+12.4

Answers

It is gonna be the last one so d

The number of eggs in the refrigerator e decreased by 8 equals 17.

Enter an equation to represent the situation.

Answers

answer: e - 8 = 17  

explanation:

The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the cars. The confidence interval based on the paired design is wider because there is little variation in mileage between the cars. The confidence interval based on the two-sample design is wider because there is little variation in mileage between the cars. The confidence interval based on the paired design is wider because there is considerable variation in mileage between the cars.

Answers

Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

In the linear equation y = 4x + 2, the value 2 represents which of the following?

A:The slope of the line

B: The y- coordinate of the y-intercept

C: The x-coordinate of the y-intercept

D: The quadrant in which the line lies

Answers

The answer is B: the y-coordinate of the y int.

solve for b.

1/7= 90/91 +b

Answers

♡ The Question ♡      

・1/7 = 90/91 + B

Solve for B!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・1/7 = 90/91 + B

Switch sides!

90/91 + B = 1/7

Subtract 90/91 from both sides!

90/91 + B - 90/91 = 1/7 - 90/91

Simplify!

90/91 + B - 90/91 : B

90/91 + B - 90/91

90/91 - 90/91 = 0

= B

Simplify!

1/7 - 90/91 : -11/13

1/7 - 90/91

= 13/91 - 90/91

Combine the fractions!

= 13 - 90 over 91

Subtract the numbers! : 13 - 90 = -77

= -77/91

Apply the fraction rule! : -a/b = -a/b

= -77/91

Cancel the common factor! : 7

= -11/13

B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

A circular path 2 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π. HELP ASAP

Answers

Answer: 125

Step-by-step explanation

Answer:

25.12

Step-by-step explanation:

That is the correct answer. Thank you! :)

Expand (2+x)^3 using binomial theorem​

Answers

Step-by-step explanation:

= 2³ + x ³ + 3(2)²x + 3(2)x²

= 8 + x³ + 12x + 6x²

= x³ + 6 x² + 12 x + 8

Select the correct answer.
Which function is the inverse of f(x) = -x^3 - 9?

Answers

Answer:

(2)

Step-by-step explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

=> (-y - 9)^(1/3) = x

=> f(y) = x

Inverse is (-y-9)^(1/3)

Replacing the variable, inverse is (-x-9)^(1/3)

Option (2)

Study figures A and B. Each shows a base and height
labeled. Which figure is correctly labeled?
O Figure A is correctly labeled.
O Figure B is correctly labeled
O Both figures are correctly labeled.

Answers

Answer: B

Step-by-step explanation:

Answer:

The Answer is option 2

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLESS

Answers

Answer:

1a. 3/8

1b. 4/12-1/3

Step-by-step explanation:

to get the answers you have to find a common denominator and then add them

Answer:

The answer would be

a) 3/8

b) 1/3

I am confused I got 9.7 but I am not sure? Any help out there.

Answers

Answer:

Im not sure If your suppose to calculate the whole area but for FGH Its 9

Step-by-step explanation:

Which equation represents a circle that has a center at and a radius of 5?

Answers

what are the options?

Please help me I love u

Answers

Step-by-step explanation:

for a

x = 11

for b

x = - 3

for c

2 + x = - 5

for d

2x - 1 = 7

Hope it will help :)❤

Step-by-step explanation:

for a

x=-33/3=-11

for b

x=12/-4=-3

for c

2+x=-25/5

2+x=-5

for d

2x-1=-42/-6

2x-1=7

What is the area of the base of the prism?

Answers

Answer:

your answer will be 6cm^2

Step-by-step explanation:

hope it helps you

have a great day

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

Find the Surface Area. I need the answer fast.

Answers

Answer:

1615

Step-by-step explanation:

Area of triangle is: A= B•H•1/2

Area of square is A= L•W

39•17•1/2= 331.5

331.5•4= 1326

17•17= 289

Add the square area to the area of the triangles

289+ 1326= 1615

hope this helps chu <3

Answer:

663

Step-by-step explanation:

Since we are finding the area we multiply Length times Width which is a way of finding formal. L x W so the Length is 17 and Width is 39 so

17 x 39 = 663. So the area is 663

1+1a+1-1=1 plssssssssssss telllllllll meeeeeee​

Answers

Answer:

a=0

Step-by-step explanation:

first, find the coefficient of 1 (doenst  have to be written)

1+a+1-1=1

remove the opposites

1+a=1

cancel equal terms

a=0

It's your birthday there are 27 kids in your class if each kid eats a maximum of nine cookies how many cookies do you need to bring?

Answers

Answer:

the maximum number would be 243 cookies

Step-by-step explanation:

Use the Distributive Property to solve the equation.
- 3(x + 2) = 18


If you solve you get 50 points so pls help and no links pls

Answers

Answer:

x = -8

Step-by-step explanation:

-3x -6 = 18

-3x = 24

x = -8

15 Points!! need help❤️

Answers

Answer:

70 degrees

Step-by-step explanation:

The measure of the central angle equal the measure of the arc it intercepts.

So arc BC is 70 degrees.

In ΔEFG, the measure of ∠G=90°, FG = 15 feet, and GE = 87 feet. Find the measure of ∠F to the nearest degree

Answers

Answer:

80

Step-by-step explanation:

delta math

Tessa is training for a marthon She ran 13km for 3 days how much meters did she run in all

Answers

Answer:

Tessa ran 39,000 meters in all

Step-by-step explanation:

if she ran 13 km a day, she ran 39 km in 3 days. To convert km to meters, you have to multiple the number by 1,000. 39 x 1,000 = 39,000 meters.

Which set of measurements could represent the three sides of a triangle?
O 2 cm, 3 cm, 6 cm
O 1 cm, 4 cm, 6 cm
O 8 cm, 9 cm, 10 cm
6 cm, 10 cm, 18 cm

Answers

Answer:

The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.

Step-by-step explanation:

The measurements are,

                  7cm, 11cm, 54cm, 60cm, 61cm, 65cm

Step:1

                 To check the right angle triangle, Pythagorean theorem can be used.

                For a Pythagorean theorem,

                                     ..........................(1)

               The side values are lower than the hypotenuse,

                                                        ...................................(2)

               Where,

                         a,b - side values

                            c - Hypotenuse

               For right angle triangle,  c > a, b

               Alternative : 1

               Take, a = 7cm, b = 11cm

               From eqn (2),

                                                   =  = 13.04

              The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 2

               Take, a = 7cm, b = 54cm

               From eqn (2),

                                                   =  = 54.45

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 3

               Take, a = 7cm, b = 60cm

               From eqn (2),

                                                   =  = 60.406

              The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.

               Alternative : 4

               Take, a = 7cm, b = 61cm

               From eqn (2),

                                                   =  = 61.40

              The above value is not equal to the values of (65cm ), So its not an sides of right triangle.

                 Alternative : 5

               Take, a = 11cm, b = 54cm

               From eqn (2),

                                                   =  = 55.1089

              The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.      

                Alternative : 6

               Take, a = 11cm, b = 60cm

               From eqn (2),

                                                  =  = 61

              The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.

Step:2

            Check for solution,

                                     

                                           

Result:

            The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.                

Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.

2. After the translation, where Is Alocated?
Write your answer in the space below.
Text

Answers

9514 1404 393

Answer:

  A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

  (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

  (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

  (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

  A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

___

In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.

Please help me on this

Answers

Answer:

(b) 60.21ft^2

Step-by-step explanation:

Given

The attached triangle

Required

Number of square feet materials needed

This simply means that we calculate area;

[tex]Area = 0.5 * base * height[/tex]

[tex]Area = 0.5 * (14ft\ 2in) * (8ft\ 6in)[/tex]

Convert to ft [divide by 12]

[tex]Area = 0.5 * (14+ 2/12) * (8+ 6/12)[/tex]

[tex]Area = 0.5 * (14.17) * (8.5)[/tex]

[tex]Area = 60.23ft^2[/tex]

(B) is correct

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