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djverab [1.8K]
3 years ago
15

Solve the equation for y and explain. 2y + 2(y - 2) = 5y - 3(y - 10)

Mathematics
1 answer:
Sloan [31]3 years ago
8 0
2y + 2(y-2) = 5y - 3(y-10)
2y + 2y - 4 = 5y -3y +30
4y - 4 = 2y + 30
4y - 2y = 30 + 4
2y = 34
y = 34/2
y = 17
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Find the solution set to each inequality. Express the solution in set notation.
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The solution to the inequality 8(p-6)>4(p-4) is  p > 8

The given inequality is:

6m  +  2  >  - 27

Subtract 2 to both sides of the inequality

6m  +  2 - 2  >  -27  -  2

6m   >  -29

Divide both sides by 6

\frac{6m}{6}> \frac{-29}{6}  \\m  > \frac{-29}{6}\\m > -4.83

For the inequality  8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p  -  48   >  4p  -  16

Collect like terms

8p  -  4p  >  -16  +  48

4p    >  32

Divide both sides of the inequality 4

\frac{4p}{4} > \frac{32}{4}\\p > 8

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: brainly.com/question/15816805

3 0
3 years ago
Write the following number in standard form.
dolphi86 [110]

Answer:

8,036,504.21

Step-by-step explanation:

One way to convert a number from word form to standard form is by using a place value chart.

EIGHT MILLION, THIRTY-SIX THOUSAND, FIVE HUNDRED FOUR AND TWENTY ONE HUNDREDTHS.

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mina [271]

Answer:

12

Step-by-step explanation:

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a primary class is going ti the zoo. the ratio of adults to children are 2:7. twenty eight childern are in this trip. how many a
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3 years ago
What is the slope of a line parallel to the line whose equation is 6x+y=-3 fully simplify the answer
vampirchik [111]

The slope of a line parallel to the line whose equation is 6x + y = -3 is: -6.

<h3>How to Find the Slope of a Line?</h3>

When given an equation of a line, the slope (m) of the line can easily be determined if the equation is written in the slope-intercept form. The slope-intercept form of the equation of a line is expressed as: y = mx + b.

The "m" in the equation is the slope of the line.

The slope of two lines that are parallel to each other are always the same.

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Therefore, the slope of a line parallel to the line whose equation is 6x + y = -3 is: -6.

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