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PIT_PIT [208]
3 years ago
15

0.2(x+50)-6=0.4(3x+20) ( show work please)

Mathematics
2 answers:
garri49 [273]3 years ago
7 0
Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span><span><span><span><span><span><span>(0.2)</span><span>(x)</span></span>+<span><span>(0.2)</span><span>(50)</span></span></span>+</span>−6</span>=<span><span><span>(0.4)</span><span>(<span>3x</span>)</span></span>+<span><span>(0.4)</span><span>(20)</span></span></span></span>(Distribute)<span><span><span><span><span>0.2x</span>+10</span>+</span>−6</span>=<span><span>1.2x</span>+8</span></span><span><span><span>(<span>0.2x</span>)</span>+<span>(<span>10+<span>−6</span></span>)</span></span>=<span><span>1.2x</span>+8</span></span>(Combine Like Terms)<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span><span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−<span>1x</span></span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>1x</span></span>+4</span>−4</span>=<span>8−4</span></span><span><span>−<span>1x</span></span>=4</span>Step 4: Divide both sides by -1.<span><span><span>−<span>1x</span></span><span>−1</span></span>=<span>4<span>−1</span></span></span><span>x=<span>−4</span></span>Answer:<span>x=<span>−<span>4</span></span></span>
erik [133]3 years ago
4 0
X = -4 can't show the work sorry:(

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Step-by-step explanation:

Given

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n_2=120 --- Women

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Required

Does women better at multitasking?

When making comparison between two variables that are subjected to the same conditions;

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So, in this case:

\bar x_2 > \bar x_1 means that women perform better than men, at multitasking.

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13434yards of ribbon cost $7. Find the cost per yard. (Unit Rate).Enter your answer as a whole number or a decimal. Do not inclu
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Students of Grade 5 together sold T- shirts for a 6 fundraiser at $ 360. Find the average number of T- shirts each student sold
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5 0
2 years ago
Read 2 more answers
Solve for u. u+1/4=-4/5
DedPeter [7]

Answer:

u = (-21)/20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4)/5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:

(4 u)/4 + 1/4 = -4/5

(4 u)/4 + 1/4 = (4 u + 1)/4:

1/4 (4 u + 1) = -4/5

Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:

(4 (4 u + 1))/4 = (-4)/5×4

4×(-4)/5 = (4 (-4))/5:

(4 (4 u + 1))/4 = (-4×4)/5

(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:

4 u + 1 = (-4×4)/5

4 (-4) = -16:

4 u + 1 = (-16)/5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16)/5 - 1

1 - 1 = 0:

4 u = (-16)/5 - 1

Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:

4 u = (-16)/5 - 5/5

-16/5 - 5/5 = (-16 - 5)/5:

4 u = (-16 - 5)/5

-16 - 5 = -21:

4 u = (-21)/5

Divide both sides by 4:

u = ((-21)/4)/5

5×4 = 20:

Answer:  u = (-21)/20

3 0
3 years ago
Select the solution to the graph from the following points. Select all that apply.
stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ m=\frac{1-0}{0--3}=\frac{1}{3}

- Substitute the value of m in the form of the equation

∴ y = \frac{1}{3} x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = \frac{1}{3} x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = \frac{1}{3} (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = \frac{1}{3} (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = \frac{1}{3} (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = \frac{1}{3} (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = \frac{1}{3} (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0
2 years ago
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