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ad-work [718]
2 years ago
12

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow? Do not include units

(yards) in your answer. Modified from EngageNY ©Great Minds Disclaimer
Mathematics
1 answer:
Olenka [21]2 years ago
8 0

Answer:

2/5 yards of fabric

Step-by-step explanation:

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?

5 identical pillows = 2 yards of fabric

1 pillow = x yards

Cross Multiply

x yards × 5 pillows = 2 yards × 1 pillow

x yards = 2 yards × 1 pillow/5 pillows

x yards = 2/5 yards of fabric

Therefore, 2/5 yards of fabric was used for 1 pillow

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swat32

Answer:

D

Step-by-step explanation:

(3^2x5)^3=91125

3^6x5^3=91125

5 0
3 years ago
Read 2 more answers
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
2 years ago
An arithmetic sequence is represented by the explicit formula A(n) = 2 +(n − 1)(− 5)
Reil [10]

Answer:

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8 0
3 years ago
Read 2 more answers
can someone help me answer this correctly? Whoever get it right I will mark as a brainliest, thank u if u help me! :)
Anna71 [15]

Answer: 40 seconds. This is the equation graphed

7 0
3 years ago
Complete the equation for the linear function whose graph contains the points
aniked [119]
Get the slope:
( 10-(-2) )/( 3 - (-1) ) = 3

Let's use letters to represent the ?'s.
y + k = m(x + 1)

Examine the equation:
Notice that if x were to equal -1, the equation would be equal to 0.
m(-1 + 1) = m(0) = 0

If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.

So now we have:
-2 + k = 0

Solve for k:
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So I know that 2 is the only number that will work for k.

Our new equation is y + 2 = m(x + 1)

Recall point slope form:
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Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.

We found the slope at the beginning, it was 3. So plug it in:
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12 = 12

So our answer is correct:
y + 2 = 3(x + 1) is the answer.
4 0
2 years ago
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