All categories

3 years ago

2. Solve the following system of equations using substitution.

1 answer:

4 0

First, make sure you convert both equations into standard form. Your two equations would be 2x+2y=38 and -x+y=3. Then multiply the bottom by 2. So your new equations would be 2x+2y=38 and -2x+2y=6. The x would cancel out and you would continue solving for y. y would equal 11 and then you would plug it back into an original equation. When you plug and solve for x, you would get x=8. So your answer would be (8,11)

You might be interested in

3/4-1/4= 1/2+3/8= 6 1/2-2 1/2= 3 1/2-1 1/8=

Nataly_w [17]

1) 1/2
2) 7/8
3) 4
4) 19/8 = 2 3/8

7 0

3 years ago

Read 2 more answers

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and find

iren2701 [21]

Answer:

C. (3,20)

Step-by-step explanation:

5 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

Contact [7]

There are 5280 feet in a mile
There are 3600 seconds in an hour

to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600

40 * 5280 / 3600

this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second

5 0

3 years ago

There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black mar

disa [49]

Answer:

Step-by-step explanation:

30-14=16

7 0

2 years ago

The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number

zhuklara [117]

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

Let us revise some facts in a polygon

The sum of the exterior angles of any polygon is 360°

At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
A regular polygon has equal angles and equal sides

In our question

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

5 0

2 years ago