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Korolek [52]
3 years ago
7

On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance

, in miles, between the two cities that are 3 3/4 inches apart on the map?
Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

30 miles

Step-by-step explanation:

1/4 = 2

3  3/4 = x

15/4 = x

So, Cross multiply

=> 1/4 * x = 15/4 * 2

=> 1/4x = 15/4 * 4/2

=> 1/4x = 60/8

=> 1/4x = 7.5

=> 1/4x * 4 = 7.5 * 4

=> x = 30

So, 15/4 inches on the map equals 30 miles.

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Step-by-step explanation:

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5 0
3 years ago
Solve by using square roots. ​ 6x^2−27=39
Bingel [31]

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

6 0
3 years ago
In the figure shown, what is the measure of angle x?
mojhsa [17]
Angles in a triangle must add up to 180, so the missing angle inside the triangle is 180 - (70 + 40), which is 70.

Angles on a straight line (i.e. the line BD) must add up to 180, and because we know part of that angle is 70, x must be 180 - 70, which is 110.

Hence, x is 110 degrees.
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Passing through 1,-4 and -2,5
Nataly_w [17]

Answer:

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2 years ago
What is the best estimate of the lateral area of a cube with edges that are 2.1 inches long?​
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