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Gnoma [55]
1 year ago
10

Solve for x x - 20 + 2x = 35

Mathematics
1 answer:
Tanya [424]1 year ago
5 0

\sf{\red{ANSWER \: \: :}}

x = 18 1/3

\sf{\purple{EXPLANATION \: \: :}}

x - 20 + 2x = 35

- 20 + 3x = 35

3x = 35 + 20

3x = 55

x = 55/3

x = 18 1/3

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What is the area of the object above? (Picture Attached :D)
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What is the 185th digit in the following pattern 12345678910111213141516...?
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4 0
3 years ago
The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of y
SSSSS [86.1K]

ANSWER:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

i)

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25

The equation is slope-intercept form will be;

y = 25x + c

Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;

when x = 1, y = 525

525 = 25(1) + c

c = 500

Therefore;

y = 25x + 500

ii)

The straight line equation that models the cost of Standard washing machine over the years;

Slope = (460 - 430) / (2 - 1) = 30

The equation is slope-intercept form will be;

y = 30x + c

when x = 1, y = 430

430 = 30(1) + c

c = 400

Therefore;

y = 30x + 400

Where y is the cost of the standard washing machine and x the number of years.

iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

We have the cost functions;

y = 25x + 500

y = 30x + 400

Equating the two and solving for x;

25x + 500 = 30x + 400

500 - 400 = 30x - 25x

100 = 5x

x = 20

Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

The cost function of the High-Efficiency washing machine is;

y = 25x + 500

To determine the cost, we solve for y given x = 9

y = 25(9) + 500

y = 725

The cost function of the Standard washing machine is;

y = 30x + 400

We solve for y given x = 9

y = 30(9) + 400

y = 670

Comparing the two values obtained, the cost for the Standard washing machine is more practical.

3 0
2 years ago
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What’s the answer....
ICE Princess25 [194]

Answer:

<h2>x = 10</h2>

Step-by-step explanation:

If the triangles are similar, then the corresponding sides are in proportion:

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\dfrac{20}{28}=\dfrac{3x}{4x+2}

\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}

\dfrac{5}{7}=\dfrac{3x}{4x+2}                 <em>cross multiply</em>

5(4x+2)=(7)(3x)        <em>use distributive property </em><em>a(b + c) = ab + ac</em>

(5)(4x)+(5)(2)=21x

20x+10=21x             <em>subtract 20x from both sides</em>

10=1x\to x=10

3 0
3 years ago
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