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erastova [34]
2 years ago
10

Twenty more than four times a number is equal to the difference between 139 and three times the number. Find the number.

Mathematics
1 answer:
Lady_Fox [76]2 years ago
5 0

Answer:

x = 17

Step-by-step explanation:

First, let's turn this into an equation:

twenty more ( +20 ) than four times a number ( 4x ) is equal ( = ) to the difference ( - ) between 139 and 3 times the number ( 3x ).

4x + 20 = 139 - 3x

Now let's solve:

Subtract 20 from each side:

4x = 119 - 3x

Add 3x to each side:

7x = 119

Divide each side by 7:

x = 17

You might be interested in
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
Using the right triangle below, find the cosine of angle A.
KiRa [710]

Answer:

it would be the Adjacent side (8) over the Hypotenuse, or the longest side which is 10. an easy way to remember this is CAH or Cosine=Adjacent/Hypotenuse

6 0
4 years ago
Find the slope of the line.
zubka84 [21]

to get the slope of any line, all we need is two points off of it.

so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)


\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}

8 0
3 years ago
The surface area, S, of a right rectangular prism with length, l, width, w, and height, h can be found using the formula below.
anygoal [31]

Answer:

246 in^2

Step-by-step explanation:

Given data

Length= 8 in

Width= 3 in

Height= 9 in

SA= 2( lw + wh + hl)

substitute

SA= 2(8*3+ 3*9+ 9*8)

SA= 2(24+ 27+72)

SA= 2(123)

SA= 246 in^2

Hence the SA is 246 in^2

4 0
3 years ago
Can someone explain how to do this?
pogonyaev

Answer:

For the first one use the formula

y=x*2

For the second use

y=x*4

The third is

y=x*15

The fourth is

y=x*16

Step-by-step explanation:

To find the value of the y units, u have to multiply any x unit with the first y unit given but not 0

idk if it makes sense but i tried

good luck!!

7 0
4 years ago
Read 2 more answers
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