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Volgvan
3 years ago
14

The original price for a case of paper is $12.88. The case of printer paper is on sale for 0.5 times the original price. How muc

h will Alison spend on 5 cases of printer paper if she buys them on sale?
Mathematics
1 answer:
loris [4]3 years ago
6 0

divide the original price by 2 since it is half off. that gives you 6.44. so you would multiply 6.44 by 5, since allison wants 5 cases. that gives you 32.20 dollars

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Help me please with this math. find x and y​
erastova [34]

Answer:X= 1.84. Y= 3.08

Step-by-step explanation:

-9x+8y =8 ............i

-8x+10y= -16........ii

Multiply equation I by 8

Multiply equation ii by 9

-72x+64y = 64 ..... iii

-72x+90y = 144 ..... iv

Subtract iv from iii

-26y = -80

y= 80/26

y= 3.08

Put the value of y in equation i

-9x+8y =8

-9x+8(3.08) = 8

-9x+24.64 = 8

-9x = 8-24.64

-9x=-16.64

Divide both side by 9

-9x/-9 = -16.64/-9

X= 1.84

3 0
3 years ago
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a
rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that \sigma = 2

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when M = 0.5. So

M = z\frac{\sigma}{\sqrt{n}}

0.5 = 1.96\frac{2}{\sqrt{n}}

0.5\sqrt{n} = 2*1.96

Dividing both sides by 0.5

\sqrt{n} = 4*1.96

(\sqrt{n})^2 = (4*1.96)^2

n = 61.5

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0
3 years ago
What is the value of this expression when c = -4 and d = 10?
lianna [129]

The complete question is

"What is the value of this expression when c= -4 and d= 10?

1/4 (c^3+d²)

A.2

B.9

C.21

D.41"

The value of this expression when c = -4 and d = 10 will be option B 9.

<h3>What is a simplification of an expression?</h3>

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.

Learn more about an expression here:

brainly.com/question/1249625

#SPJ1

6 0
2 years ago
Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.
skelet666 [1.2K]

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4 0
3 years ago
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How do you change 14/20 into a decimal
lyudmila [28]
The answer is 0.7 Have a nice day   
4 0
3 years ago
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