Jack and beth are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Jack sold 5 rolls of plain and 8 rolls of shiny for a total of $190. Beth sold of 5 rolls plain and 3 shiny for a total of $90. Find the cost of each roll of wrapping paper

Answers

Answer 1

Answer:

Cost of a roll of plain wrapping paper = $6

Cost of a roll of shiny wrapping paper = $20

Step-by-step explanation:

Let [tex]x[/tex] denotes cost of a roll of plain wrapping paper and [tex]y[/tex] denotes cost of roll of shiny wrapping paper.

Jack sold 5 rolls of plain and 8 rolls of shiny for a total of $190.

[tex]5x+8y=190\,\,\,(i)[/tex]

Beth sold of 5 rolls plain and 3 shiny for a total of $90.

[tex]5x+3y=90\,\,\,(ii)[/tex]

Subtract (ii) from (i).

[tex]8y-3y=190-90\\5y=100\\y=20[/tex]

Put [tex]y=20[/tex] in (ii)

[tex]5x+3(20)=90\\5x+60=90\\5x=90-60\\5x=30\\x=6[/tex]

Therefore,

Cost of a roll of plain wrapping paper = $6

Cost of a roll of shiny wrapping paper = $20


Related Questions

XWV ~ EDC. Find the length of EC.​

Answers

Answer:

EC = 24

Step-by-step explanation:

12/8 = x/16

then you cross multiply

8x= 192

divide

x = 24

how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you

Answers

50%. Aaaaaaaaaaaqaaafs

Answer:

it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)

Hope this helped!

Step-by-step explanation:

What’s the purchase price??

Answers

Answer:

$18,000

Step-by-step explanation:

Trust me it's right

How much is a new car?

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.

What is the measure of Arc Q P?

78°
84°
88°
96°

Answers

Answer:

96 degrees

Step-by-step explanation:

STR + STQ=180 degree

Substitute

x+x-12=180

2x-12=180

2x=192

x=96

Answer:   D. 96 is the cooorrrreccccct answer

Step-by-step explanation:

edge 2021

Tina likes to go on distance-learning steam she travels 60 K in 12 seconds what is the constant of proportionality

Answers

Answer:

5

Step-by-step explanation:

Given that:

60km in 12 seconds

Distance α time

Distance = k * time

K = constant of proportionality

Distance = 60 ; time = 12 seconds

60 = 12k

60/12 = 12k/12

5 = k

Constant of proportionality is 5

A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π

Answers

Answer:

28.26 cm²

Step-by-step explanation:

Area of a circle = πr²

         r = diameter/2

         r = 6/2 = 3

A = (3.14)(3)²

A = 28.26 cm²

PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay

Answers

Answer:

$216 or $162    (see below)

Step-by-step explanation:

If it's 18% for 9 months (and not per year)

then

1200x0.18=$216

If it's 18% per year then

1200x0.18x0.75=$162

Will mark brainliest! help asap! Don’t scam

Answers

(-8,-16) I believe ....

what is the answer to this question

Answers

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

An arrow is moving at 35 m/s and travels for 5 seconds. How far did the arrow travel?
PLEASE SHOW WORK!

Answers

Answer:

175 metres it will travel this is answer hope it helps

175 meters 35 times 5 equals 175

In ΔDEF, ∠DEF measures 30°, ∠EFD measures 60°, and ∠FDE measures 90°. Suppose the triangle were reflected. Which of these statements would be correct about the resulting triangle?

Answers

Answer:

ΔDEF

Step-by-step explanation:

well just bc lol thanks for the points tho

use substitution to solve the system of equations. Write the solution as an ordered pair.
x + 2y = 14
y = 3x - 14

Answers

Answer:

Step-by-step explanation:

x + 2(3x - 14) = 14

x + 6x - 28 = 14

7x - 28 = 14

7x = 42

x = 6

y = 3(6) - 14

y = 18 - 14

y = 4

(6,4)

what is 9+p when p=20?

Answers

Answer:

your answer should be. 9+20=29

the answer is 29

9+20 is 29

help, please!!!its urgent

Answers

Answer:

Step-by-step explanation:

its f because its pretty easy

HELP ASAP!!
Which letter is the spinner least likely to land on?

The spinner is least likely to land on
Blank 1:

Answers

The answer is c becuse there’s only 2 cs and 3 of the others

5) 8 - 3(2b - 7)
Need help

Answers

Answer:

−6b+29

Step-by-step explanation:

Let's simplify step-by-step.

8−3(2b−7)

Distribute:

=8+(−3)(2b)+(−3)(−7)

=8+−6b+21

Combine Like Terms:

=8+−6b+21

=(−6b)+(8+21)

=−6b+29

have a great day <3

Answer: -6b + 29

Step-by-step explanation:

8 -6b + 21

-6b + 29

Extra-large pizzas are on sale at a 15% discount. The original cost of an extra-large pizza is $28.00. How much is the cost of the pizza after the discount?

a. $23.80

b. $4.20

c. $26.60

d. $32.20

Answers

$23.80 bc you will pay $23.8 for a item with original price of $28 when discounted 15% you will pay $28 - $4.2 = $23.8 dollars.

05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
11
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
w​

Answers

H= heads T= tails

HHH
HHT
HTT
HTH
TTT
TTH
THH
THT

Choose the answer that best translates
the algebraic expression below.

Answers

It’s the 3rd one (A quotient of a number and 2, increased by 9) hope that helps :)

which table of values can be defined by the function y =6x - 2?

Answers


i need help with this question too! :(

Answer:

the answer is A

Step-by-step explanation:

The temperature at noon was 5 degrees and drops 15 degrees. What is the new temperature?

Answers

The temperature would be -10 degrees

PLEASE HELP ME!!
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum

Answers

Take the derivative:
g’(x) = 12x^3 - 24x^2

Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)

x = 0 or x = 2

Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0

g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52

There is an absolute max at (0,0) or when x = 0

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function [tex]g (x) = 3x^4 - 8x^3[/tex]

The function is at a maximum at g'(x) = 0

Differentiating the function given:

[tex]g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \[/tex]

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Learn more function here: https://brainly.com/question/10439235

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?

Answers

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years

PLSSSSS

• Demand equation: 0.7x + y = 340
Supply equation: -1.5x + y = 320
1. Solve the system algebraically to determine the balance point between
supply and demand.

Answers

Answer:

Step-by-step explanation:

Subtract equation 2 from equation 1

.7x+y-(-1.5x+y)=340-320

.7x+y+1.5x-y=20

2.2x=20

x=100/11, then use this in either original equation to find y.

.7(100/11)+y=340

y=3670/11, so the balance point is

(100/11, 3670/11)

If f (x) = 5x + 4 then for what value of x will f(x) equal -11?​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

This should be the answer. Brainliest would be appreciated.

3x + 160y<=1120 written in slope intercept form

Answers

3x/160 try that let me know if it wrong

i need help with this i really dont understand it. :)

Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides

(11)

given 2 sides 2, 6 , then

6 - 2 < x < 6 + 2

4 < x < 8

(12)

Given 2 sides 4, 12 , then

12 - 4 < x < 12 + 4

8 < x < 16

(13)

Given 2 sides 2, 11 , then

11 - 2 < x < 11 + 2

9 < x < 13

one divided by eight over nine

Answers

[tex]\frac{1/8}{9}[/tex] is the answer.

Brainiest if possible? thnx

If f(x) = 3x - 2 what is f-1(x)

Answers

Answer:

2x-2

Step-by-step explanation:

please lmk if im wrong or not

need help nooooooooooooow what is 12349898 x 989888989-123876 i just made that up but if you can solve is u are awesome

Answers

Answer:

1.222502804534925e16

Step-by-step explanation:

uh i got

1.2225028e+16

Hope this helps i guess

haha :D

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