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2 years ago

Solve for y. 5y = 135

Mathematics

2 answers:

V125BC [204]2 years ago

7 0

Answer:

Step-by-step explanation:

135 divided by 5 (divide both sides by 5)

fredd [130]2 years ago

4 0

Answer:

y=27

Step-by-step explanation:

First you have to leave y by itself. So since the y is with a constant (5) then that means that you have to bring 5 to both sides and divide it by 135.

5y=135, y=135/5=27

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Find the value of x in the triangle shown below.

Crazy boy [7]

Answer:

i think its the same as one of the angles: 42º

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2 years ago

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

What is (x-2)(x+2) in standard from

trasher [3.6K]

Answer= x^2-4

I hope this helps.

5 0

2 years ago

How many solutions does the system of equations below have? (PLEASE HELP)

Artist 52 [7]

Answer:

y= -54-2

y= -56 &

x= -54/ -9

x= 6

Step-by-step explanation:

y= -9x-2

-9x= y+2 divide bothe side by -9

x=y+2/-9

y= -9(y+2/ -9) -2 = (y+2)-2

y= -2(y+2)

y= -2y-4

y+2y= -4

3y= -4 divide bothe side by 3

y= -4/3

x=y+2/ -9

x= -4/3+2/-9

x= -2/3× -9

x=18/3

x=6

6 0

2 years ago

Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5%

sergey [27]

<span>You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds.

Amount collected
= $5,600 * 0.90
= $5,040

Commision
= $5,040 * 0.25
= $1,260

Net Proceeds
= $5,040 - $1,260
= $3,780 </span>

7 0

2 years ago