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Tom [10]
3 years ago
9

What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

BigorU [14]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

(x - 1)/5 = (4x + 2)/35

to find the value of x

the first thing to do is to cross multiply

from this ,

(x-1)/5 = (4x + 2)/ 35

35(x-1) = 5( 4x + 2)

35x - 35 = 20x + 10

we are going to collect the like terms

35x -20x = 10 + 35

15x = 45

we are going to divide both sides by the coefficient of x which is 15

we have,

15x/15 = 45/15

x = 3

therefore the value of x = 3

to check if your answer is correct, put the value of x and slot it into one of the equations.

35x - 35 = 20x + 10

35(3) - 35 = 20(3) + 10

105 - 35 = 60 + 10

70 = 70........................ proved.

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Use an algebraic equation to find the measure of each angle that is represented in terms of X
professor190 [17]

Answer:

16, 74

Step-by-step explanation:

3x +10 + 12x +50 = 90

15x + 60 = 90

15x = 90 -60

15x = 30

x = 30/15

x = 2

3x + 10 = 3*2 +10 = 6 +10 = 16

12x + 50 = 12*2 +50 = 24 + 50 = 74

5 0
3 years ago
The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to recei
Svetach [21]

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is <u>4</u>

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = \dfrac{1}{3}

Required:

To find the value of <em>y</em>

<em />

Solution:

The formula for the slope is given as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

y = \dfrac{12}{3} = 4

The value of, y = <u>4</u>

Learn more here:

brainly.com/question/1617757

8 0
3 years ago
Please help me quickly !!
xeze [42]

Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

8 0
3 years ago
Which algebraic expression is a polynomial? 3m2n – StartFraction 2 m Over n EndFraction + StartFraction 1 Over n EndFraction Sta
SOVA2 [1]

Answer:

The Answer is D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The area of the rectangular floor in Tamara’s room is 9556 square feet. The width of the room is 813 feet. Part A Round each mea
denis23 [38]

Answer:

Area of Tamara room

=9556 square feet

Width

=813 feet

Length= 11.75 feet

Total area= 19794 square feet

480 square feet will not be enough

Step-by-step explanation:

Dimensions of Tamara's room to the nearest whole numbers

Area of Tamara room

=9556 square feet

Width

=813 feet

For the length

Length*width= area

Length= area/width

Length= 9556/813

Length= 11.75

To the nearest whole number = 12 feet

The ceiling is 12 feet high

Let's calculate for the area of the combination

1)Height and width two times

2)Height and length two times

1).area = 12*813

= 9756

Then 9756*2= 19512

2). area= 12*11.75

= 141

Then 141*2= 282

Total area = 282+19512

Total area= 19794

7 0
3 years ago
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