All categories

3 years ago

Find the value of each variable.

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

Answer:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

You might be interested in

Question 1<br> Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).

Scilla [17]

The function (fg)(x) is a composite function

The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

<h3>How to determine the function (fg)(x)?</h3>

The functions are given as:

f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.

To calculate (fg)(x), we make use of

(fg)(x) = f(x) * g(x)

So, we have:

(fg)(x) = (2x^2 - 3x - 4) * (x + 5)

Expand

(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20

Collect like terms

(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20

Evaluate

(fg)(x) = 2x^3 + 7x^2 - 19x - 20

Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

Read more about composite function at:

brainly.com/question/10687170

7 0

2 years ago

Price went up by 75% the shirt used to cost $36

mamaluj [8]

Find 75% of $36 and add it to $36. Convert 75% to a decimal and multiply it by 36. That's how you get 75% of 36.

7 0

4 years ago

Read 2 more answers

A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the

photoshop1234 [79]

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

8 0

3 years ago

A regular hexagon is inscribed in a circle as shown determine the measure of FE

Ostrovityanka [42]

The complete question in the attached figure

we know that
1) <span>The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm

the answer is
FE=6 cm </span>

3 0

3 years ago

Read 2 more answers

Sarris daily tips this work week were $43, $32, $65, $88, $50 and $72. Is Sarah correct in thinking that the mean accurately rep

ella [17]

The answer is A.

Add all the number values together and then divide it by the number of values you have: 43+32+65+88+50+72=350
350/6=58.33

7 0

3 years ago