Answer:
Step-by-step explanation:
<u>The rule of 90° counterclockwise rotation about the origin:</u>
<u>Apply the rule to the point T:</u>
Answer:
d. Ore treated with the new process.
Step-by-step explanation:
This is a common practice in statistics, in which we use a sample of a population to infer something about the entire population. We should use a sample of 100.
For example, if we want to know the proportion of residents of Buffalo, New York, who are Bills fans, we are going to take a sample of like, 100 residents, and then use this to estimate for the entire city.
In this problem, we have that:
A new process that is supposed to increase the recovered amount is being tested. In a simple random sample of 100 batches of ore, an average of 42 pounds per ton were recovered using the new process.
So the population of interest is the ore treated with new process. We use a sample of 100 to gather information about the entire population.
So the correct answer is:
d. Ore treated with the new process.
m = 5a
m + a = 30
Because we already know the value of m, we can find the value of a.
5a + a = 30
<em><u>Combine like terms.</u></em>
6a = 30
<em><u>Divide both sides by 6</u></em>
a = 5
Now that we know the value of a, we can find the true value of m.
m = 5a
m = 5 * 5
m = 25
Aisha is 5 years old, and Aisha's mother is 25 years old. (This is your answer.)
Answer:
x = -6
Step-by-step explanation:
(2x/3) + 10 = (x/5) + (36/5)
15*[(2x/3) + 10 = (x/5) + (36/5)] <em>[Multiply both sides by 15 in order to convert the fractions to whole numbers]</em>
(15/3)*2x +15*10 = (15/5)x + (15/5)*36
5*2x + 150 = 3x + 3*36
10x +150 = 3x + 108
7x = -42
x = -6
===
<u>Check:</u>
Does (2x/3) + 10 = (x/5) + (36/5) work for x = -6?
(2(-6)/3) + 10 = (-6/5) + (36/5) ?
-4 + 10 = (30/5) ?
6 = 6 YES
Answer:
x = 74
Step-by-step explanation:
