On paper, draw a diagram to model the following problem. Solve and enter your answer in the box. The area of the rectangular binder cover is 80 square inches. It has an area that is 8 times the area of the rectangular spiral notebook cover. If the length of the spiral notebook is 5 inches, what is its perimeter?​

Answers

Answer 1

Answer:

The perimeter of the spiral notebook is 14 inches

Step-by-step explanation:

The given parameters are;

The area of the rectangular binder cover, Aₓ = 80 in²

The area of the rectangular binder cover = 8 × The area of the spiral notebook, Aₙ

The length, l of the spiral notebook = 5 inches

Let w represent the width of the spiral notebook cover;

We have;

Aₙ = l × w = 5 × w

Aₓ = 80 = 8 × Aₙ

8 × Aₙ = 80

∴ 8 × 5 × w = 80

w = 80/(8 × 5) = 80/40 = 2

w - 2 inches

The perimeter, P, of a rectangle = 2 × length, l + 2 × width, w

∴ For the spiral notebook, we have, [tex]P_{Spiral \ notebook}[/tex]  = 2 × 5 + 2 × 2 = 14

The perimeter of the spiral notebook, [tex]P_{Spiral \ notebook}[/tex] = 14 inches.


Related Questions

What is 7/8 in decimal and percentage form?

Answers

Answer:

0.875

Step-by-step explanation:

Answer:

0.875 and 87.5%

Step-by-step explanation:

Evaluate 3/4 · 1/2 .

Answers

Answer:

Exact Form: 3/2

Decimal Form:1.5

Mixed Number Form: 1 1/2

Step-by-step explanation:

I need help with this fast, please! Small amounts of substances can be measured in milligrams. One milligram equals gram. Suppose a scientist needs 25 milligrams of a substance. Find the amount in grams. Write your answer in scientific notation.

Answers

Answer:

0.025 grams

Step-by-step explanation:

1milligrams equals 0.01grams

25milligrams equals 0.025 grams

I NEED HELP SOMEONE HELP ME PLS ASAP

Answers

Answer:

im not sure but is this google slides

Step-by-step explanation:

Answer:

same I'm not sure sorry

Given:15y+7=12-20y prove:y=1/7 (I just need the prove thanks)

Answers

Answer:

15y+7=12-20y (add 20y to both sides)

35y+7=12 (minus 7 from both sides)

35y = 5 (divide both sides by 35) (5/35=1/7)

y= 1/7

Answer:

64/7 = 64/7 yes y = 1/7

Step-by-step explanation:

To prove this we simply have to plug in!

15(1/7) + 7 = 12 - 20(1/7) (simplify)

15/7 + 7 = 12 - 20/7 (simplify further)

64/7 = 64/7

So yes y = 1/7

Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?

Answers

He will have to pay about $82.34 at the checkout.

(-6, 9), (7,-9)
i need to find the slope

Answers

The slope of this equation is -18/13

The distance Train A travels is represented by y=70x, where y is the distance in kilometers and x is the time in hours. What is the unit rate of Train A?

Answers

Answer:

the unit rate is 70 miles per 1 hour

Step-by-step explanation:

WILL MARK BRAINLIEST
Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

Answers

Answer:

B. It has 3 terms and a degree of 10

Step-by-step explanation:

Ik this is late but I hope this helped... somehow

Power functions mastery test

Answers

This isn’t a question this is just a statement

Answer:

i'm going fail my test because of this

Step-by-step explanation:

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

abcdefghijklmnopqrstuvwxyz

WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT

Answers

Answer:

The last one.

Step-by-step explanation:

GIMME THE BRAINLYNESS

Answer:

Our answer i believe is A if u multiply correctly by the y and x axis.

Step-by-step explanation:

pls mark me brainiest

Classify the triangle. (Explain each type if you can!)
A. equiangular
B. right
C. acute
D. obtuse

Answers

I will explain them since someone already gave the answer....

Right; is a angle that is 90 degrees

Acute: is an angle that is lower than 90 degrees

Obtuse: an angle that is larger than 90 degrees......

Hope I helped! Brainlist?

kayla is tracking the progress of her plants growth. today the plant is 8 cm high. the plant grows 2 cm per day.

a. write a linear model that represents the height of the plant after d days

b. when will the plant be at a height of 20 cm?​

Answers

Answer:

30 cm

Step-by-step explanation:

A. Multiply daily rate by number of days and add that to the starting height:

Height = 2d + 8

B. Set height to 20 and solve for d:

20 = 2d +8

Subtract 8 from both sides

12 = 2d

Divide both sides by 2

D = 6

It wall take 6 days.

Grades 1 through 6 at Eastwood Elementary School raised $5,492 towards repairs for the gymnasium floor.
How much did each grade raise if they each collected about the same amount of money? Choose the best estimate.

A. About $1,100
B. About $900
C. About $550
D. About $500

Answers

B. $900 So if they raised $5,492 and there are 6 grades that raised about the same amount money to make that $5,492 then you would do $5,492 divided by 6 which will get you 915 so if you estimate that it would be about $900

The radius of the moon is approximately 1,350,000 m. What is the radius in kilometers? (1 km=1000m)

Answers

Answer:

I believe it is 1,350 but i am not completely sure

Step-by-step explanation:

The radius of the moon in Kilometers is 1350 km.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Unit conversion is a multi-step procedure that involves adding, subtracting, multiplying, or dividing by a conversion factor. Additionally, rounding and choosing the appropriate number of significant digits may be necessary during the process. To measure various parameters, various units of conversion are utilized.

Given that the radius of the moon is approximately 1,350,000 m. The radius in kilometers will be calculated as,

1 km = 1000m

1 m = 1 / 1000 km

1350000 meters = 1350000 / 1000 km

1350000 meters = 1350 km

To know more about unit conversion follow

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2.5 x 2.5 x 2.5 - 1.4 x 1.4 x 1.4
(2.5)2+ 2.5 X 1.4 + (1.4)2​

Answers

Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.

Answers

Answer:

(B). A physical change takes place that causes molecules to move faster

Step-by-step explanation:

When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.

When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.

Store A
Store B
What is the amount of sales tax charged on the
repaired computer at Store A?
Computer
Repair
$1,200
$1,350
Sales Tax
6%
7%
Gratuity
15%
15%
Shipping
Free
2% of total
price

Answers

Answer:

72

Step-by-step explanation:

Any help is appreciated!!

Answers

Answer:

Step-by-step explanation:

600,000,000

Answer:

[tex]1.872 \times {10}^{13} [/tex]

Step-by-step explanation:

Simply multiple the values listed

[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]

You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.

[tex]18.72 \times {10}^{12} [/tex]

Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.

[tex]1.872 \times {10}^{13} [/tex]

t(x) = 7x, t(x) = 49

Answers

Answer:

x = 7

Step-by-step explanation:

7 * x = 49

x = 49

um i dont really know what you meant but i hope this helps in some way!

X=7. I really hope this helps

What's y'all dream college?? (Mine is Howard university or another HBCU school )

Answers

Ooo my dream college is probably Yale but my parents don’t want me to leave the state so I’ll probably end up going to unf

Answer:

Yale University would look so good on my record!

Step-by-step explanation:

But it's a 1/10 chance that I'll make it but It's cool to think about

What other information is needed to prove that Triangle CEB is congruent to Triangle AED by SAS congruence theorem?

Answers

Answer:

C

Step-by-step explanation:

Im pretty sure, but double check

write the equation of the line through (10, -2) and (2, 14)

Answers

Answer:

:)

Step-by-step explanation:

x2-x2 y2-y1

equation- 14+2/2-10

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Answers

Answer:

you

Step-by-step explanation:

Depends on who you ask. There are multiple theories.

help ill give brainlist

Answers

Answer:

I think it's -0.5 so F

Step-by-step explanation:

someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz

Answers

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Paul Smith pays $50.00 a month for group health insurance. There is a $300 deductible. His medical bills for the last year were $2,600.00. Paul’s insurance company provided payment of 80% of the bills less the deductible. What was Paul’s total cost (including the monthly premium)?

Answers

Answer:

$1,360

Step-by-step explanation:

Take the monthly payment of $50 and multiply it by 12 because there is 12 months in a year which is $600. Next subtract $2,600 by your deduction of $300 which is $2,300. Then multiply by 20% because the insurance pays 80% leaving you with 20%, you get $460. Add $460 and $300 because those are the amounts you paid and you get $760. Now add the $600 to the $760 because of the monthly payment. The total comes out to $1,360.

ILL GIVE BRAINLIEST PLEASE ANSWER

Answers

Answer:

rice

Step-by-step explanation:

the best

Which best states George Washington’s connection to the 1787 Constitutional Convention? He was an honorary delegate because he had led the Continental army. He delivered the new Constitution to Great Britain as an ambassador. He led the Constitutional Convention because he was respected throughout the nation. He led the Constitutional Convention because he was known for his wisd

Answers

Answer:

he led the constitutional convention because he was respected throughout the nation

Step-by-step explanation:

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

What is Constitutional Convention ?

The Philadelphia Convention is also known as the Constitutional Convention took place between May 14 and September 17, 1787, to resolve the problems of the United States government.  

The delegate elected to George Washington to led the convention, the presence of Washington a national hero respected by all helped to legitimize the convention. This result of the Convention was the Constitution of the United States of America.

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

Learn more about Constitutional Convention;

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