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HACTEHA [7]
3 years ago
5

A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.If you plan to use 5 cups of flour,how much butter shoul

d you use to keep the same ratio
Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

\frac{3}{2}  cups of butter should be use to keep the same ratio.

Step-by-step explanation:

Given:

A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.

If you plan to use 5 cups of flour.

Now, to find the butter should be used to keep the same ratio.

So, to get the quantity of butter by using unitary method:

If, \frac{5}{6}  cup of flour use then butter should be = \frac{1}{4} .

So, 1 cup of flour use then butter should be = \frac{1}{4} \div \frac{5}{6} =  \frac{6}{20} .

Thus, for 5 cups of flour butter should be = \frac{6}{20} \times 5 = \frac{30}{20}=\frac{3}{2} .

Therefore, \frac{3}{2} cups of butter should be use to keep the same ratio.

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A right cubic prism has edges of 2 1/2 inches. How
3241004551 [841]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.  

8 0
2 years ago
Solve for y 10.3=0.6y
gavmur [86]
10.3 = 0.6y...divide both sides by 0.6
10.3 / 0.6 = y
17.17 = y <=
8 0
3 years ago
Read 2 more answers
I need help with both please no links!
nlexa [21]

Answer:

The first one- 24, The second one-B

Step-by-step explanation:

The first one-Top corner=110, 110+46=156, 180-156=24

The other one-I have no clue how to explain it

4 0
3 years ago
A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are
Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0
2 years ago
How many is 192 fl oz. = how many pints
NemiM [27]
There are 16 fluid ounces in a pint, so we have 192/16=12 pints.
6 0
3 years ago
Read 2 more answers
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