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Gennadij [26K]
2 years ago
15

Translate each sentence into an equation.

Mathematics
2 answers:
iogann1982 [59]2 years ago
5 0
Answers

1. 1/4 x M-6= (m+9)x2


Ps. Couldn’t do 4
Vera_Pavlovna [14]2 years ago
5 0
<h3>Question 1</h3>

One fourth of m minus six is equal to two times the sum of m and 9:

  • \dfrac{1}{4}m -6=2(m+9)

This is self-explanatory, please comment if something is unclear.

<h3>Question 2</h3>

Drew has 50 marbles; red, green and blue.

Equation for this:

  • r + g + b = 50

He has six more red marbles than blue marbles:

Equation for this:

  • r = b + 6

He has four fewer green marbles than blue marbles:

Equation for this:

  • g = b - 4

Substitute r and g into first equation and solve for b:

  • r + g + b = 50
  • b + 6 + b - 4 + b = 50
  • 3b + 2 = 50
  • 3b = 48
  • b = 48/3
  • b = 16

Drew has 16 blue marbles.

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The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Please help me find the value of x and show and explain work
riadik2000 [5.3K]
2x + 3 = 9      Move all terms not containing x to the right side of the equation.

2x = 6             Divide each term by 2 and simplify.

x=3
5 0
3 years ago
Read 2 more answers
Jean needs 1/3 cup of wulnuts for each serving of salad she makes.she has 2 cups of walnuts how many servings can she make
valentina_108 [34]
She can make 6 servings
5 0
3 years ago
Just please help me I will give branliyest
alex41 [277]

Answer:

A

Step-by-step explanation:

because proportion is right vertical

6 0
3 years ago
Can someone pls help
Tom [10]
5 balls = 3.1 pounds
1 ball = 3.1 ÷ 5 = 0.62 pounds
6 0
3 years ago
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