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faust18 [17]
3 years ago
5

Larry made 5 batches of punch. Each batch ises 24 fluid ounces of lemon juice and 5 pints of orange juice. If each serving is 1

cup, how many servings did he make all together?
Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

65 servings

Step-by-step explanation:

Larry made 5 batches of punch.

In each batch, she uses the amount of lemon juice = 24 fluid ounces

and the amount she uses of orange juice = 5 pints

Since 1 pint = 16 fluid ounces

∴ 5 pints = 16 × 5 = 80 fluid ounces

Total quantity of punch in each batch = 24 + 80

                                                              = 104 fluid ounces

Total quantity of punch in 5 batches = 104 × 5

                                                             = 520 fluid ounces

If each serving is 1 cup.

and 1 cup = 8 ounces

He made the number of servings all together = \frac{520}{8}

                                                                           = 65 cups

He made 65 servings all together.

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DochEvi [55]

Answer:

2 significants choes the least significant digets which is 19.35

result is 221,267.25

6 0
3 years ago
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0
3 years ago
Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Fin
lina2011 [118]

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

6 0
3 years ago
Please help! will friend! and branliest!
Akimi4 [234]

Answer:

Option A, no trend

Step-by-step explanation:

<u>Since the points are all over the graph, that means that there is no trend.</u>

<u />

If all the points followed a straight line toward positive infinity, it would be positive trend.

If all the points followed a straight line toward negative infinity, it would be negative trend.

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7 0
3 years ago
What is the monomial if a square of a monomial is:1 9/16 a12b6
san4es73 [151]

Answer:

1\dfrac{1}{4}a^6b^3

Step-by-step explanation:

A square of a monomial is 1\dfrac{9}{16}a^{12}b^6 that is \dfrac{25}{16}a^{12}b^{6}

Use properties of exponents:

(a^m)^n=a^{mn}\\ \\\dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m\\ \\a^mb^m=(ab)^m

Note that

\dfrac{25}{16}=\dfrac{5^2}{4^2}=\left(\dfrac{5}{4}\right)^2\\ \\a^{12}=a^{6\cdot 2}=(a^6)^2\\ \\b^6=b^{3\cdot 2}=(b^3)^2

Then

\dfrac{25}{16}a^{12}b^{6}=\left(\dfrac{5}{4}\right)^2\cdot (a^6)^2\cdot (b^{3})^2=\left(\dfrac{5}{4}a^6b^3\right)^2

So, the monomial is

\dfrac{5}{4}a^6b^3=1\dfrac{1}{4}a^6b^3

5 0
4 years ago
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