Daniel and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Daniel sold 5 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $74. Lisa sold 1 roll of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $58. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper

Answers

Answer 1

Answer:

P = 4 & H = 18

Step-by-step explanation:

Daniel : 5 plain paper + 3 holiday paper = 74, 5P + 3H = 74 . Lisa : 1 plain paper + 3 holiday paper = 58, P + 3H = 58 . Solving two equations, P = 4 & H = 18


Related Questions

please solve these problems

Answers

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

How is the general shape of a cube root function different from the shape of a square root function?

Answers

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

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what is the solution of x in 2-3(6-2x)=1/2(10x-8)

Answers

Answer:

answer is 12

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easy question. what’s the value of x :)))

Answers

5 it’s the answer
The correct answer



What is the measure of angle RST?
a. 87
b. 131
c. 93
d. 90

Answers

Option c. 93°.

Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.

What is the measure of ∠ RST?

Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.

Learn more about the angle at

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Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

I need helppppppppppppppppppppp

Answers

Answer: x=20.6 miles and y=$22.05

Step-by-step explanation: Good luck!

The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.

Answers

Answer:

the length is 23 ft and the width is 11 ft

Step-by-step explanation:

68/4 = 17

17 17 17 17

11 11 23 23

Solve the inequality 3x-1 < 2x+5​

Answers

Answer:

x<6

Step-by-step explanation:

Solve for x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x<6

12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3

Answers

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!


The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?

Answers

width=17m

length= 31m

Step-by-step explanation:

width = x

length= x+14

perimeter = 96m

2(x+x+14)=96

4x+28=96

4x=68

x=17

width=17m

length= 31m

Solve 3x - 7 = 32
Plssss helpp

Answers

Answer:

x=13

Step-by-step explanation:

Move all terms that don't contain  x to the right side and solve.

Brainly plss

Answer:

x=13

Step-by-step explanation:

Which number is a factor of 84?

Answers

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.


If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?

Answers

hope it will help you..........

FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.

Answers

Answer:

y=[tex]-\frac{3}{2}[/tex]+2

Step-by-step explanation:

for an equation to be parallel with another both should have the same rate of change(m).

the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)

Isolate for y:

2y+3x=8

2y=-3x+8

y=-3/2x+8/2

y=-3/2x+4

thus the slope of the line we are trying to find must also equal -3/2

use point slope form to find the equation (substitute (2, -1) into equation)

y-y1=m(x-x1)

y-(-1)=(-3/2)(x-2)

y+1=[tex]-\frac{3}{2}[/tex]x+3

y=[tex]-\frac{3}{2}[/tex]+2

A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission

Answers

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

Find the unit rate.
$11.40 for 6 gallons

Answers

Answer:

$ 1.90 for 1 Gallon

Step-by-step explanation:

11.40/6 = 1.90

another way you can show the answer is: $1.90/1 Gal.

Non linear??????????

Answers

Answer:

Yes. That is correct

Step-by-step explanation:

yes. that is right


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Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?

Answers

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

What are the solutions of -1 <=x-3<4? help asap ​

Answers

I think the answer is -1=x-3<4

WILL MARK BRAINLIEST!!!!!! Which of the following graphs represent a function?

Answers

The first one is a function

Answer:

The second one

Step-by-step explanation:

the semi circle

The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.

always
often
sometimes
never

Answers

The area of a circle will SOMETIMES be larger than the area of a polygon circumscribed about the circle.

– 2y – 10 = x
- 10x - y = -14

Answers

Answer:

hey there guys ^^

Step-by-step explanation:

What’s the answer for this?

Answers

Answer:

[tex] {y}^{3} [/tex]

Step-by-step explanation:

[tex]2 {y}^{3} - {y}^{3} [/tex]

[tex] {y}^{3} \: (collect \: like \: terms)[/tex]

Solve for x:
9x - 3-8x = 7 - X
O A. x=-7
B. X = -2
o
C. x = 4
o
D. X = 5
I need help ASAP

Answers

D x=5 jhhhhhhgfrcrcrvtvrvtvrvgniby

for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students

Answers

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Apple jack are the best

When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.

Answers

Answer:

force of gravity on the ball

Step-by-step explanation:

when you throw something up it will come down

Solve the equation below for y.

12(y−8) = 14y−2

Answers

Answer:

y=-47

Step-by-step explanation:

12(y-8)=14y-2

12y-96=14y-2

-96=14y-2-12y

-96=2y-2

-96+2=2y

-94=2y

-94/2=y

-47=y

y=-47

Answer:

-47

Step-by-step explanation:

Marla bought 1250 pounds of pecans at $1.29 per pound and another 1500 pounds of pecans at $1.59 per pound. She sold all the pecans for \$6.75 per kilogram. After paying her suppliers, how much money did she make?

Answers

Answer:

After paying her suppliers, she made $4,575.

Step-by-step explanation:

First, you have to multiply the number of pounds purchased for the price:

$1.29*1250=$1,612.5

$1.50*1500=$2,250

Now, you can add both amounts to find the total cost:

$1,612.5+$2,250=$3,862.5

Now, you have to find the total amount of lb purchased and determine the kg they represent given that 1 kg is equal to 2.20 lb:

1250+1500=2750

2.20 lb  →  1 kg

2750 lb →    x

x=(2750*1)/2.20= 1250 kg

Now, you can find the total amount sold by multiplying the price per kilogram for the amount of kg:

$6.75*1250=$8,437.5

Finally, you have to subtract the total cost from the total amount sold:

$8,437.5-$3,862.5=$4,575

According to this, the answer is that after paying her suppliers, she made $4,575.

Calculate the average rate of change of y=x2+3x−2 on the interval 1≤x≤2

Answers

Answer:

The rate of change for the given function is 6.

Step-by-step explanation:

Given function is:

[tex]y = x^2+3x-2[/tex]

The interval on which we have to find the rate of change is:

1≤x≤2

Here

a = 1

b = 2

We have to find the values of function on both points

Putting 1 in place of input (x)

[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]

Putting x = 2

[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]

The rate of change is calculated by using the following formula

[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]

Hence,

The rate of change for the given function is 6.

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