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Brilliant_brown [7]
3 years ago
14

A 3- pack of boxes of juice costs $1.12. A 12-pack of boxes costs $4.38. A case of 24 boxes costs$8.68.Which is the best buy?

Mathematics
1 answer:
just olya [345]3 years ago
8 0
First, you divide the price by the amount of units in the pack. This is how you find how much one unit is worth in that pack. So for the first pack you divide 1.12 by three, and then you have .37333 repeating, which is about 38 cents. Next is the second pack, where we divide 4.38 by 12 which is .365, which is about 37 cents. The last pack is 8.68 divided by  24 which is .361, or about 36 cents. This means that the 24 pack is the best buy.
In real life you should also consider which would be too much for you or not enough. For example,  you might not even need 24 units of juice. You might only need 12 so you don't have too much extra. But hey, this is just a math problem ;)
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Simplify 7(x + 2) + 12.<br><br>7x + 14<br><br>7x + 21<br><br>7x + 26<br><br>​
Maru [420]

Answer:

<u>7x+28</u>

Step-by-step explanation:

7(x+2)+12. First, distribute

7x+14+12. Now combine like terms

<u>7x+28</u>

3 0
3 years ago
I forgot what's 646,780 times 547,890 please respond
patriot [66]
646,780 times 547,890 is 354,364,294,200.
5 0
3 years ago
Extra points!!no links tho
Naddik [55]

Answer:

<h3>              a. the  vertex represents a minimum point</h3><h3>              b.  f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5

5 0
3 years ago
Solve for t.
iVinArrow [24]

Answer:

4t - 3 > 37t - 50

Step-by-step explanation:

Step 1: 4t - 3 > 37t - 50

          <u>-4t         -4t</u>

           -3 > 33t - 50

          <u>+50        + 50</u>

        <u>47</u> > <u>33</u>t

        33    33

        <em>t < 47/33</em>

3 0
2 years ago
A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing
Katyanochek1 [597]

Answer:

a) The confidence interval is 0.00\leq\pi_1-\pi_2\leq0.02.

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

p_1=75/1500=0.05

For the new procedure, the proportion is:

p_2=80/2000=0.04

To calculate the CI, we need to estimate the standard deviation

s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{  0.000051 }\\\\s=0.007

For a 90% CI, the z-value is 1.64.

Then, the CI is:

(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02

6 0
3 years ago
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