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katovenus [111]

3 years ago

11

Solve equation

3} = 3" alt="\frac{k-4}{3} = 3" align="absmiddle" class="latex-formula">

1 answer:

3241004551 [841]3 years ago

6 0

k-4/3= 3

Mutiply both sides by 3 .

(3)(k-4/3)= (3)(3)

Cross out 3 and 3 , divide by 3 and then becomes k-4= 9

Move -4 to the other side

Sign changes from -4 to +4

k-4+4= 9+4

k= 13

Answer: k= 13

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Sveta_85 [38]

<h2>Hello!</h2>

The answers are:

1 $x=-20$

2 $x=-9$

3 $x=-5$

4 $r=-2$

5 $x=-4.5$

<h2>Why?</h2>

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have an equality: if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

$\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20$

2 - Solving for "x"

$-3x+4=31\\-3x=31-4=27\\x=\frac{27}{-3}=-9$

3 - Solving for "x"

$2x+(-12)=-22\\2x-12=-22\\2x=-22+12=-10\\\\2x=-10\\x=\frac{-10}{2}=-5$

4 - Finding the solution

$25=15-5r\\25-15=-5r\\-5r=10\\r=\frac{10}{-5}=-2$

5 - Finding the solution

$12.5+5x=-10\\5x=-10-12.5=-22.5\\5x=-22.5\\x=\frac{-22.5}{5}=-4.5$

Have a nice day!

8 0

3 years ago

Read 2 more answers

Find the total length of six sections when each section is 72.5mm in length

Neko [114]

72.5*6 which is 435mm

7 0

3 years ago

Read 2 more answers

Yolanda and her 3 brothers shared a box of 156 toy dinosaurs . About how many dilnosaurs did each kid get

anygoal [31]

Answer:

52

Step-by-step explanation:

You divide 156 by 3 and you get your answer 52. Therefore, each kid got 52 toys each.

8 0

3 years ago

Read 2 more answers

One number is one more than another. Their sum is nine. Find both numbers.

STatiana [176]

Answer:

4 and 5

Step-by-step explanation:

Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:

x + (x + 1) = 9

We can now simplify by adding like terms together:

2x + 1 = 9

Now, let's take away 1 from both sides:

2x = 8

We can finally divide both sides by 2 to isolate x:

x = 4

One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.

Hopefully this was helpful! If you need more help, let me know.

5 0

3 years ago

Frank, Leah and Tom play a trivia game. Frank's score is -12 points. Leah's score is 48 points higher than Frank's score. Tom's

sasho [114]

Answer:

- 40

Step-by-step explanation:

-12 + 48 = -60 60 th 2/3 is -40

5 0

3 years ago