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podryga [215]
2 years ago
12

Janet bought 2 1/2 yards of fabric. She used 3/4 of the fabric to make a pillow. How much of the fabric did she use?

Mathematics
1 answer:
Lorico [155]2 years ago
4 0
She used 7/4 or 1 1/4 of the fabric
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Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate
borishaifa [10]

We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

0\times x+35\times y=7245\Rightarrow 35y=7245\Rightarrow y=\frac{7245}{35}=207

Since she donates $2 for each return that she files, therefore, we can set up:

2(x+y)=1242\Rightarrow x+y=621\Rightarrow x+207=621\Rightarrow x=414

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35.

7 0
2 years ago
Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
2 years ago
4.Find the square roots of the following decimal numbers
alisha [4.7K]

Answer:

I) 32.5

ii) 100.1

Step-by-step explanation:

I) 1056.25 = √1056.25

= 32.5

ii) 10020.01= √10020.01

=100.1

4 0
2 years ago
Read 2 more answers
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th
Free_Kalibri [48]

Answer:

70 times

you didn't attach a picture so i can't help with the other part

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio
arlik [135]

Answer: For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

y=4+0.75(m-5) such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For m\geq15

\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0
2 years ago
Read 2 more answers
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