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jeka94
3 years ago
7

On a map the distance between St Petersburg, Fa, and Bladensburg. Md. Is shown below. If the actual

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

  1 inch = 82 miles

Step-by-step explanation:

You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:

  14 in : 1148 mi

  = (14 in)/14 : (1148 mi)/14

  = 1 in : 82 mi

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He total variance is $35000 f. the total materials variance is $14000 f. the total labor variance is twice the total overhead va
TiliK225 [7]
Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x

Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
                          + Total labor variance

We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x

Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000

Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000
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1) ACT Prep: Linear Pair angles have measures (6x -9)°and (9x-6)° 1.
iris [78.8K]

The measure of angles are 69 degree and 111 degree

<em><u>Solution:</u></em>

Given is linear pair angles

The measure of angles are: (6x - 9) degrees and (9x - 6) degrees

A linear pair of angles is formed when two lines intersect.

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Therefore,

(6x - 9) + (9x - 6) = 180\\\\\text{Remove the parenthesis and solve}\\\\6x - 9 + 9x - 6 = 180\\\\\text{Combine the like terms}\\\\6x + 9x - 15 = 180\\\\15x - 15 = 180\\\\\text{Move the constants to right side}\\\\15x = 180 + 15\\\\15x = 195\\\\x = 13

<em><u>Thus the measure of angles are:</u></em>

(6x - 9) \text{ degrees } = 6(13) - 9 = 78-9 = 69 \text{ degrees }\\\\(9x - 6) \text{ degrees } = 9(13) - 6 = 117 - 6 = 111 \text{ degrees }

Thus measure of angles are 69 degree and 111 degree

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Answer:

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