Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
Answer: <em>81</em>
Step-by-step explanation:
<em>3^4</em>
<em>3x3x3x3</em>
<em>3x3=9</em>
<em>9x3=27</em>
<em>27x3=</em><em>81</em>
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
Answer:
The number of games must a store sell in order to be eligible for a reward is 135.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.
The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.
It is provided that the company is looking to reward stores that are selling in the top 7%.
That is, 
.
The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.
Compute the number of games must a store sell in order to be eligible for a reward as follows:
Thus, the number of games must a store sell in order to be eligible for a reward is 135.
Answer:
<u>For 1 quart of orange juice:</u>
Calories = 448
Vitamin C = 387.6 mg
Carbohydrates = 107.56 mg
Step-by-step explanation:
The following information is given about 1 CUP of orange juice:
<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>
Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.
Calories = 112 * 4 = 448
Vitamin C = 96.9 * 4 = 387.6 mg
Carbohydrates = 26.89 * 4 = 107.56 mg
