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3 years ago

The scale of a map is 1 in.: 17.5 mi. Find the actual distance corresponding to the map distance of 5 in.

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Answer:

A. 87.5 mi

Step-by-step explanation:

1 in : 17.5 mi Multiply both sides of the ratio by 5

5 in : 87.5 mi

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For the following system if you isolated X in the second equation to use the substitution method what expression would you subst

Anestetic [448]

Option A. зу + 12 is the right answer

Step-by-step explanation:

The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.

Given equations are:

$2x+y=8\\-x-3y=-12$

We have to isolate x in the 2nd equation

$-x-3y=-12$

Multiplying equation by -1

$x+3y=12$

Subtracting 3y from both sides

$x+3y-3y=12+3y\\x=12+3y$

Hence,

Option A. зу + 12 is the right answer

Keywords: linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

Two sides of the triangle that form a 90 degree angle are called the

Lilit [14]

Answer:

The two sides of the triangle that are by the right angle are called the legs

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find all the values of x (where 0 < or equal to x and x < pi/2) in terms of pi for which cos(6x)=0

statuscvo [17]

cos(6x) = 0
cos⁻¹[cos(6x)] = cos⁻¹(0)
6x = 90
6 6
x = 15°
x = ¹/₁₂π radians

cos(6x) = 0
cos⁻¹[cos(6x)] = cos⁻¹(0)
 6x = 270
6 6
x = 45
x = ¹/₄π radians

cos(6x) = 0
cos⁻¹[cos(6x)] = cos⁻¹(0)
 6x = 450
6 6
x = 75
x = ⁵/₁₂π radians

5 0

3 years ago

Jamal filled his gas tank and then use 7/16 of the tank for traveling to visit his grandfather. He then used 1/3 of the remainin

Lisa [10]

Answer:

$\frac{3}{8}$

Step-by-step explanation:

Let's tackle each statement at a time:

Jamal filled his gas tank of which he used $\frac{7}{16}$ .

We need to express the unit (a gas tank) in terms of fractions so that we can substract $1-\frac{7}{16}$ .

The denominator of the second term of our substraction is $16$ , so we can express the first term as $\frac{16}{16}$ . Now that we have the same denominator in both terms, we can proceed to define $16$ as a common denominator and rewrite the expression as: $\frac{16-7}{16}$ , which gives us a result of $\frac{9}{16}$ , which is what Jamal has left after visiting his grandfather. This expression cannot be simplified anymore.

Then, he used $\frac{1}{3}$ of the remaining $\frac{9}{16}$ .

We express it as if he had $\frac{2}{3}$ of the remaining $\frac{9}{16}$ .:

$\frac{9}{16} *\frac{2}{3}$

We multiply the terms:

$\frac{18}{48}$

And simplify:

$\frac{9}{24}$

$\frac{3}{8}$

So, at the end, Jamal has $\frac{3}{8}$ of his tank left.

6 0

3 years ago

Read 2 more answers

how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of ea

Triss [41]

My room is made up of four walls, both the floor and the ceiling are rectangular in shape.

There are four walls in my room.
The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.

To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.

Area = L * W

where

L = length

W= width

But if you have a square floor and ceiling, the area of a square is

Area = s²

given that it is side * side.

In conclusion, there are 4 walls in every room. The shape of the ceiling or floor could be a rectangle or a square. It depends on your room and its measurements. To get the area, multiply the length by the width.

7 0

3 years ago