Answer: 70
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Step-by-step explanation:
Solution:
Since
96 : 160 = 42 : X
Then we know
160/96 = X/42
Multiplying both sides by 42 cancels on the right
42 × (160/96) = (X/42) × 42
42 × (160/96) = X
Then solving for X
X = 42 × (160/96)
X = 70
Therefore
96 : 160 = 42 : 70
You have to find the least common denominator then compare numerators after you determine the factor by which you must multiply your denominators by in order to make them equal. Then apply the same factor to the numerators.
Answer:
x = 8
Step-by-step explanation:
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
So,

Answer:
B. 1.70
Step-by-step explanation:
Given:


Substituting the given values into the formula to find the test statistic z:

Answer:
21 microwaves
Step-by-step explanation:
The net profile is equal to the income less the total cost, so the equation to the net profile NP is:
NP = 700x - (6000 + 300x)
Where 700x is the income and (6000+300x) is the cost of manufacturing.
Now, replacing NP by 2400 and solving for x, we get:
2400 = 700x - (6000 + 300x)
2400 = 700x - 6000 - 300x
2400 + 6000 = 400x
8400 = 400x

So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.