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svet-max [94.6K]
3 years ago
13

Earl needs to fill juice cups for his little brother's birthday party. There are 25 juice cups and each juice cup holds 12 fluid

ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase? (2 points) (1 quart = 32 fluid ounces, 1 gallon = 4 quarts) 1 bottle 2 bottles 3 bottles 4 bottles
Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

3 bottles

Step-by-step explanation:

Hello!

First, we find out how many fluid ounces 25 cups of juice hold.

One cup holds 12 fluid ounces so to find 25 we do

25 * 12 = 300 fluid ounces

Next, we find out how many fluid ounces one gallon holds.

One gallon is 4 quarts.

1 quart is 32 fluid ounces so to find how many 4 holds we do

32 * 4 = 128

So one gallon holds 128 fluid ounces

To find how many we need we divide the total needed by how much one bottle holds

300/128 = 2.34

You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover

The answer is 3 bottles

Hope this helps!

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A clothing store is having a sale where all shirts are 40% off and all the pairs of pants are 30% off. Which of these are true?
const2013 [10]

Answer:

Step-by-step explanation:

A. "a pair of pants originally priced at &40$ and a shirt originally priced at $45. He pays $55"—correct

(1-0.30)$40 + (1-0.40)$45 = $55

B. "Mary buys two shirts originally priced at $25. She will pay $35."—incorrect

2×(1-0.40)$25 = $30

C. "a pack of four shirts on sale for $37.80. The pack of shirts was originally priced at $54"—incorrect

(1-0.40)$54 = $32.40

D. "a pair of pants for sale price of $40.60. The pair of pants was originally priced at $58."—correct

(1-0.30)$58 = $40.60

4 0
3 years ago
n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that
BartSMP [9]

Answer:

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the Population (μ) = 5.4</em>

<em>Given sample size 'n' = 9</em>

<em>Mean of the sample (x⁻) = 5.7</em>

<em>Standard deviation of the sample (s) = 0.81</em>

<u><em>Step(ii):-</em></u>

<em>Null Hypothesis: H₀:</em>  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

<em>Alternative Hypothesis : H₁:</em>  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

           t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }

         t = 1.11

<em>Degrees of freedom </em>

<em>ν = n-1 = 9-1 =8</em>

t₀.₀₁₅ , ₈  = 2.89

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

<em></em>

<em />

7 0
3 years ago
How do you solve the linear equation: <br> 3x+2y=11<br> 7x-y=3<br> By using the elimination method?!
AleksandrR [38]

<span>
3x + 2y = 11</span>

<span />2(7x - y) = 2(3)

14x-2y=6

Adding both equations<span>
3x + 2y = 11</span>

<span>14x-2y=6</span>

<span>17x=17</span>

<span>x=1</span>

<span>substitute x = 1 in any equation</span>

<span>3(1) + 2y = 11</span>

<span>2y = 8</span>

<span>y = 4</span>

<span>Solution: x=1 y=4</span>

7 0
3 years ago
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ludmilkaskok [199]

The correct answer is D. I've had that question before


8 0
3 years ago
PLEASE HELP WITH PART B!!<br><br> can you also explain y and x, I dont understand part B &gt;
Doss [256]

A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.

average rate of change:

($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year

initial value:

$350

B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.

If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is

(450 - 350) / (1 - 0) = 100/1 = 100

which is the same as the average rate of change.

Using the point-slope formula for a line, the equation you want is then

<em>y</em> - 350 = 100 (<em>x</em> - 0)

<em>y</em> - 350 = 100<em>x</em>

<em>y</em> = 100<em>x</em> + 350

8 0
3 years ago
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