Answer:
-65
Step-by-step explanation:
Using proportions, it is found that he bikes:
- 28.5 miles in one and a hour.
- 47.5 miles in two and a hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:
- In one hour, he bikes 2 x 9.5 = 19 miles.
- In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.
- In two hours, 4 x 9.5 = 38 miles.
- In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.
More can be learned about proportions at brainly.com/question/24372153
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Answer:The function v(x) has the largest value when x = 4.
Solution:
x=4;
e(4) = 4^2 + 6×4 + 21=16+24+21=61
m(4) = 8×4=32
v(4) = 31×4=124
v(4)>e(4)>m(4)
Therefore,The function v(x) has the largest value when x = 4.
First, we find the slope of the given line.
<span>3x − 4y = 7
-4y = -3x + 7
y = (3/4)x - 7/4
The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.
Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),
We use the point-slope form of the equation of a line.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4) <---- check option E. Is the fraction 3/4 not there?
y + 2 = (3/4)x + 3
y = (3/4)x + 1
4y = 3x + 4
3x - 4y = -4 <------ this is choice B.
</span>
With the concept of first in, first out method, then we
can use the formula below to solve for the number of equivalent units of
production for that period.
number of equivalent units of production
= Total number of units completed during that period (A) –
Number of units completed in process at the beginning of the period (B) +
Number of units completed at the end of the period (C)
= A – B + C
We know that,
A = 9000 units
So we solve for B and C.
B is 60% of the 500 units, therefore:
B = 0.60 * 500 = 300
C is 30% of the 600 units, therefore:
C = 0.30 * 600 = 180
Substituting the values into the equation:
number of equivalent units of production = 9000 – 300 + 180
number of equivalent units of production = 8880 units
Answer:
A. 8880
