The cheerleaders from Newberg High School are doing a giftwrapping fundraiser at a clothing
store. Yesterday, they wrapped 26 small clothing boxes and 39 large clothing boxes, using a
total of 468 feet of wrapping paper. The day before, they wrapped 28 small clothing boxes
and 39 large clothing boxes, using a total of 480 feet of gift wrap. How much paper does it
take to wrap each size of box?
Each small box uses
feet of paper and each large one uses
feet.

Answers

Answer 1

Answer:

Step-by-step explanation:

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Step-by-step explanation:

The cheerleaders from Campo high school are doing a gift wrapping fundraiser at a clothing store

   Yesterday, they wrapped 36 small clothing boxes and 25 large clothing boxes, using a total of 588 feet of wrapping paper

   The day before, they wrap 27 small clothing boxes and 29 large clothing boxes, using a total of 564 feet of gift wrap

We need to find how much paper it takes to wrap each size of box

Assume that they need x feet to wrap a small box and y feet to wrap a large box

∵ The small box is wrapped by x feet

∵ The large box is wrapped by y feet

∵ They wrapped 36 small clothing boxes and 25 large clothing

  boxes, using a total of 588 feet

∴ 36x + 25y = 588 ⇒ (1)

∵ They wrapped 27 small clothing boxes and 29 large clothing

  boxes, using a total of 564 feet

∴ 27x + 29y = 564 ⇒(2)

Now we have a system of equation to solve it

Multiply equation (1) by -3 and equation (2) by 4 to eliminate x

∵ -108x - 75y = -1764 ⇒ (3)

∵ 108x + 116y = 2256 ⇒ (4)

- Add equations (3) and (4)

∴ 41y = 492

- Divide both sides by 41

∴ y = 12

- Substitute the value of y in equation (1) or (2)

∵ 27x + 29(12) = 564

∴ 27x + 348 = 564

- Subtract 348 from both sides

∴ 27x = 216

- Divide both sides by 27

∴ x = 8

It takes 8 feet to wrap the small box and 12 feet to wrap the large box


Related Questions

Jamstock gas station sold 417. 5849 litres of gas in a day. How may litres of gas did the gas station sell, rounded to the nearest hundredth

Answers

Answer:

417.5500

because 49 is lower than 50

can anyone do these ?

Answers

Answer:

1. (x-6)(x+1)

Verify = x² + x - 6x - 6 = x² - 5x - 6

2. (x+8)(x-5)

Verify = x² - 5x + 8x - 40 = x² +3x - 40

3. (x-10)(x+3)

Verify = x² + 3x - 10x - 30 = x² - 7x - 30

how to find the missing side of a triangle in trig for geometry

Answers

Step-by-step explanation:

cosine is cos(angle)= adjacent/hypotenuse

sine is sin(angle) = opposite/hypotenuse

Tangent is tan(angle)= opposite/adjacent

for all of those

if the equation is something like tan(69)= x/69

multiply both sides by 69 so it will end up as x=69tan(69) and put that in the calculator

if it is something like tan(69)= 69/x

just swap x and tan(69)

it is much easier

it will then be 69/tan(69) and put that in the calculator

Question Drag each tile to the correct box. a Match the character traits to the character names. :)) Tiles Jack Worthing Algernon Moncrieff Gwendolen Fairfax Cecily Cardew Lady Bracknell Pairs Traits Characters believes that style is more important than sincerity leads a double life a cunning snobbish, and dominating woman extremely imaginative and lives in a fantasy world of her own a dandy Submit​

Answers

Answer:

i cant see the photo

Step-by-step explanation:

Answer:

Gwendolen FairFax - believes that style is more important than sincerity

Jack Worthing - leads a double life

Lady Bracknell - a cunning, snobbish, and dominating woman

Cecily Cardew - extremely imaginative and lives in a fantasy world of her own

Algernon Moncrieff - a dandy

Explanation:

Edmenteum

What is the reflection of the point (-5,2) in the line y=2?

Answers

Answer:

-2/5

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

5 4/7 + 3 13/21



Enter your answer as a mixed number in simplest form

Answers

Answer:

9 1/7

Take 5 4/7 + 3 13/21 and get 9 1/7

Mixed= 5/4/7+3/13/21=9/4/21 simply mixed number=5/4/7+3/13/21=9/4/21

What does point A represent on the graph?


On a coordinate plane, a graph titled Chicken Salad Recipe has number of salads on the x-axis and Cups of chicken on the y-axis. Point A is (3, 1.5). Points (1, 0.5), (2, 1), and (4, 2) are also plotted.

Answers

Answer:

the graph represents how many cups of chicken are required to make X number of salads

so point A represents making 3 salads requires 1.5 cups of chicken

Question 4 options:

A prism with a base area of 6 ft² and a height of 7 ft is dilated by a factor of 3/2.


The volume of the dilated prism is ___ cubic ft

Answers

Answer; 62?
Almost positive
Have a good day

Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2

Answers

Answer:

[tex]3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\[/tex]

Substituting Equation 2 into equation 1

[tex]3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\[/tex]

Substitute the value of y into Equation 2

[tex]x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\[/tex]

Therefore x=-8, y=-2

Step-by-step explanation:

Have a nice day :)

A model of a plane has a wingspan
of 14 inches. If the scale of the
model is 1 inch : 4 feet, the
wingspan of the actual plane is
feet.
Help Resource
Per
Enter
220-
clan

Answers

Answer:

the inches is 2.8 inches

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

If you have3/12 of an orange how many fourths do you have?

Answers

Answer:

1/4

Step-by-step explanation:

A good way to explain this is if you have a bar split into fourths you are able to split each part into three parts making them twelfths

1/4
3/12 divided by 3 = 1/4 1 times 3 = 3
3 times 4 = 12

A grocery store sells a bag of 5 oranges for 3.00. If matthew spent 4.80 on oranges, how many did he buy?

Answers

Answer:

8

Step-by-step explanation:

Money/How Many

3.00/5=0.6 which means that 0.6 is the unit rate, which you now divide 4.80, the money, by 0.6, 4.80/0.6=8

Matthew got eight oranges.

8 apples cost $1.44 how mucho is 1 cost

Answers

Answer:

$0.18

Step-by-step explanation:

apple(s) : price

8         :    $1.44

4         :    $0.72

2         :    $0.36

1          :    $0.18

cycle charges an initial price of $15 plus $0.75 per hour for bike rentals which is represented by the expression 15+0.75h

Answers

Is that what you are looking for?

If 2a , 3a , 4a and 6a are the angles of a quadrilateral , Find them .
i need answer of 1. d no
step by step
process by process
who will give correct answer
i will make him/her as a brainlists​

Answers

Step-by-step explanation:

sum of angle of quadrilateral is 360°

so,

2a+3a+4a+6a=360°

15a=360°

a = 360°/15= 24°

Now,

2a= 2×24=48

3a=3×24=74

4a=4×24=96

6a=6×24=120

Help! I need help!
- solve the system using elimination....

Answers

x - 3y = -11
-x + 2y = 7

We minus these equations : x - 3y - (-x + 2y) = -18

= x - 3y + x - 2y = -18
2x - 5y = -18

Now, we add these equations :

x - 3y = -11
-x + 2y = 7
-> x - 3y - x + 2y = -4
-y = -4
y = 4

Replace it in 2x - 5y = -18

2x - 20 = -18

2x = -18 + 20 = 2
x = 1

Recheck : 1 - 3 x 4 = -11

-1 + 8 = 7.

Two congruent squares and a parallelogram were used to form the figure shown.

3 m; 2.8 m; 6 m; 3 m.

What is the area of the figure in square meters?

25.8 m2
40.8 m2
34.8 m2
28.8 m2

Answers

Answer:

the answer is 40.8 m2

Step-by-step explanation:

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

How to determine the area of the shape

From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m

The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

Evaluate the products

Evaluate the sum

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

brainly.com/question/24571594

so the answer is 40.8 m2

The area of a figure is the amount of space the figure occupies

Hence, The surface area of the figure is 34.8 square meters

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m

The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 × Area of square + Area of parallelogram

This gives;

Area = 2 × 3 × 3 + 2.8 × 6

Area = 18 + 16.8

Area = 34.8 m²

Hence, The surface area of the figure is. 34.8 square meters

Learn more about surface areas at:

brainly.com/question/24571594

#SPJ3

A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
How many teenagers chose listening to music?

a. 40
b. 50
c. 45
d. 35

Answers

Answer:

d

Step-by-step explanation:

28÷100×125=35

hope it helps

Answer:

35

Step-by-step explanation:

28% of 125=35

16% of 125=20

32% of 125=40

24% of 125=30

explain how the unit circle definition of sin and cos is related to the equations sin(theta)=O/H and cos(theta)=A/H

Answers

The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex].

How cosine and sine are related in the unit circle

The unit circle is a particular case of the Pythagorean theorem, in which hypotenuse ([tex]r[/tex]) has a measure of a unit. That is:

[tex]x^{2}+y^{2} = r^{2}[/tex]  (1)

Where:

[tex]x[/tex] - Horizontal leg[tex]y[/tex] - Vertical leg

If we divide the entire expression by [tex]r^{2}[/tex], then we have the following identity:

[tex]\left(\frac{x}{r} \right)^{2}+\left(\frac{y}{r} \right)^{2} = 1[/tex]

And by trigonometric relations, we have the following formula:

[tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex]  (2)

The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex]. [tex]\blacksquare[/tex]

To learn more on trigonometry, we kindly invite to check this verified question: https://brainly.com/question/6904750

1. A bottling company uses a machine to fill the bottles with olive oil. These bottles are
designed to contain 475 millilitres (ml). In fact, the contents vary according to a normal
distribution with a mean of 473 ml and standard deviation of 3 ml. A) What is the distribution, mean, and standard error of the sample mean of six randomly
selected bottles?

Answers

Using the Central Limit Theorem, it is found that the distribution of the sample mean of six randomly selected bottles is approximately normal, with mean 473 ml and standard error of 1.22 ml.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, we have that:

[tex]\mu = 473, \sigma = 3[/tex]

Then, for the sample of n = 6:

[tex]s = \frac{3}{\sqrt{6}} = 1.22[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

On Nick's playlist, 5/12 of the songs are pop. What fraction of the
songs, n, are NOT pop?
How can you draw a picture and write an equation to
represent the problem?

Answers

Answer:

7/12

Step-by-step explanation:

Draw a rectangle with 12 squares. 5 of them will be pop and 7 will not.

The equation will be 12/12 = 5/12 + n. You will subtract 5/12 from each side and get 7/12 = n.

Which of the following inequalities matches the graph?

Answers

Answer:

the answer would be answer B

hey can y’all help me with this question from grad point ?? it’s so hard

Answers

The answer to the question is : 8x+16

Answer:

the answer is number is the last one

find the value of 7 + 3^(2) (-5 + 1)-:2

Answers

Answer:

7+(((3^2)*((-5)+1))/2

=-11

Step-by-step explanation:

pls help this is due tomorow​

Answers

Answer:

Only Katie is correct

Step-by-step explanation:

4:10 = 2:5

3:9 = 1:3

10:25 = 2:5

4:10 = 10:25

Answer:

Katie

Step-by-step explanation:

if you multiply 4 by 2.5, you get 10. if you multiply 10 by 2.5 you get 25!

Study the box plot shown. Then enter numbers for each of the values below

Answers

Answer:

My guess is that the first box is 1 and the second box is 2 but that is a guess. I hope that helped! :)

Step-by-step explanation:

Answer:

1st box

Step-by-step explanation:

a family buys 5 airline tickets online. The family buys travel insurance that costs ​$17 per ticket. The total cost is ​$1,495. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.

Answers

Answer:

  $282

Step-by-step explanation:

The price per ticket can be found by dividing the total cost by the number of tickets, then subtracting the value of any per-ticket add-ons.

  5(x +17) = 1495 . . . . . total cost of 5 tickets with 17 per ticket ins charge

  x +17 = 299 . . . . . . divide by 5

  x = 282 . . . . . . . price of 1 ticket

The price of one ticket is $282.

The ratio of the surface areas of 2 rectangles is 256:484. What is the ratio of their heights?

Answers

Answer:

182:242

Step-by-step explanation:

Reduce the ratio by its halves (50 percent) and simplify.

Although for this case, you could reduce it even further, because this is a ratio, not the true height.

If this is a test, I would not recommend that.

71.2% of 722.69 what is this​

Answers

Answer:

514.5552

Step-by-step explanation:

:)

Answer:

514.55528

Step-by-step explanation:

that what 71.2% of 722.69 is it is 514.55528

The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14 for ​.

Answers

CIRCUMFERENCE

» The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14.

[tex]\blue{\bold{37.68 \: \:kilometers}}[/tex]

— — — — — — — — — —

Step-by-step explanation:

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

[tex] \tt \: d = 12 km \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×12 \: km \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 37.68 \: km}}}}[/tex]

Therefore, the circumference of the circle is 37.68 kilometers.

_______________∞_______________

Answer:

37.68km

Step-by-step explanation:

c=2πr

thus

2×3.14×6= 37.68

alternative

c= πDc= 3.14×12= 37.68km
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