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3 years ago

Add the two expressions. −4x+3 and 2x−5

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

The answer is -2x-2 I hope this helped :)

blondinia [14]3 years ago

4 0

-2x-2 is your equation :)

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Solve: 1. 1/6y− 1/2 =3− 1/2y 2. 4x+1/15 = 2x/10

kogti [31]

Answer:

First Equation → y = 21/4

Second Equation → x = -1/57

Explanation:

solving equation #1

step 1 - simplify

$\displaystyle\frac{1}{6}y - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}y\\\\\displaystyle\frac{1}{6}* \displaystyle\frac{y}{1} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}* \displaystyle\frac{y}{1}\\\\\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}$

step 3 - multiply each side of the equation by six

$\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}\\\\\displaystyle\frac{y}{6} * \displaystyle\frac{6}{1}- \displaystyle\frac{1}{2} * \displaystyle\frac{6}{1}= \displaystyle\frac{3}{1} *\displaystyle\frac{6}{1} - \displaystyle\frac{y}{2}* \displaystyle\frac{6}{1}\\\\y - 3 = 18 - 3y$

step 4 - add three to both sides of the equation.

$y - 3 = 18 - 3y\\\\y-3+3=18+3-3y\\\\y = -3y+21$

step 5 - add three y to both sides of the equation.

$y = -3y+21\\\\y+3y = -3y+3y+21\\\\y+3y=21$

step 6 - simplify

$y+3y=21\\\\4y=21$

step 7 - divide both sides of the equation by four

$4y=21\\\\\displaystyle\frac{4y}{4} = \displaystyle\frac{21}{4}\\ \\y = \displaystyle\frac{21}{4}$

Therefore, the solution to the first given equation is y = 21/4 or y = 5.25.

solving equation #2

step 1 - simplify.

$4x + \displaystyle\frac{1}{15} = \displaystyle\frac{2x}{10} \\\\4x + \displaystyle\frac{1}{15} = 2*\displaystyle\frac{x}{10}\\\\4x+\displaystyle\frac{1}{15} = \displaystyle\frac{x}{5}$

step 2 - multiply each side of the equation by five.

$4x+\displaystyle\frac{1}{15} = \displaystyle\frac{x}{5}\\\\\displaystyle\frac{4x}{1}* \displaystyle\frac{5}{1} +\displaystyle\frac{1}{15} * \displaystyle\frac{5}{1} = \displaystyle\frac{x}{5}* \displaystyle\frac{5}{1} \\\\20x + \displaystyle\frac{1}{3} = x$

step 3 - subtract twenty x from each side of the equation.

$20x + \displaystyle\frac{1}{3} = x \\\\20x -20x+ \displaystyle\frac{1}{3} = x -20x\\\\\displaystyle\frac{1}{3} = -19x$

step 4 - divide each side of the equation by negative nineteen.

$\displaystyle\frac{1}{3} = -19x\\\\\displaystyle\frac{\displaystyle\frac{1}{3} }{-19} = \displaystyle\frac{-19x}{-19} \\\\-\displaystyle\frac{1}{57} = x$

step 5 - switch

$-\displaystyle\frac{1}{57} =x\\\\x = -\displaystyle\frac{1}{57}$

Therefore, the solution to the second equation is x = -1/57.

5 0

3 years ago

A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo pa

cestrela7 [59]

Answer:

$12.86

Step-by-step explanation:

multiply 13.50 by 0.05 and subtract the answer from 13.50

7 0

3 years ago

The drawing is a scale drawing of a house.

Alborosie

Answer: 20.25ft

1. Find what 8 inches in scale equal for the height of the house.

we will do this step by multiplying.

2in=4.5

8=?

to find...

2x4=8

4.5x4=18

2. Find what 1 inch on the scale is equal to for the height of the house.

we will do this by dividing 4.5 by 2

4.5/2=2.25

3. Add both the values for step 1 and 2.

we will do this by just adding them both

18+2.25=20.25

<h2>Why is this our answer?</h2>

This is our answer, because first we found the value of 8 inches on the scale, which means that we are finding almost the full value of the 9 inches of the height of the house, then, we found 1 inch because 9-8=1, so if we already found 8, which is a number in the table of 2, we found out 1 so that we can add it with 8 to find the value of 9in on the scale. In this way, after adding, that gives us the value of 9in on the scale!

My gratitude attitude - THANKS!

3 0

2 years ago

When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

Volgvan

Answer:

See Below

Step-by-step explanation:

The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.

6 0

2 years ago

Image Which of the following statements is true for ∠a and ∠b in the diagram?

saveliy_v [14]

Answer:

You have not added a picture soi can not help answer this question.

Step-by-step explanation:

Add the picture by either taking a photo or screenshot of the question then upload it.

3 0

2 years ago