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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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Solve 2x + 5y = 20; 3x - 10y = 37 by elimination. How do you do this? Thank-you!
mr Goodwill [35]

\left\{\begin{array}{ccc}2x+5y=20&\text{multiply both sides by 2}\\3x-10y=37\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+10y=40\\3x-10y=37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x=77\qquad\text{divide both sides by 7}\\.\qquad\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\2(11)+5y=20\\\\22+5y=20\qquad\text{subtract 22 from both sides}\\\\5y=-2\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{2}{5}}\\\\Answer:\ \boxed{x=11\ and\ y=-\dfrac{2}{5}}

6 0
3 years ago
Kiko baked a batch of cookies. She ate 3 cookies and then gave half of the remaining cookies to her friends. If c represents the
tatiyna

Answer: (c - 3) / 2 = x

Step-by-step explanation:

If c represents the cookies, then you remove 3 because she ate 3 of the cookies. Since half of the remainder of the cookies were given to her friend, you must divide the product of c - 3, by 2. The reason for the parenthesis is so that it overrules PEMDAS, as parenthesis goes before division.

7 0
3 years ago
Jim, Katrina, Larry, and Jim have all been invited to a dinner party. They arrive randomly and each person arrives at a differen
tino4ka555 [31]

Answer:

24

6

1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1   = 2 ways

This is one you should try.

Jim Kat Larry Kim

Jim Larry Kat Kim

You can't get another way.

c)

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

7 0
2 years ago
Read 2 more answers
Write 28 + 24 as a product of two factors using the GCF and the distributive property
Harman [31]

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

6 0
3 years ago
Read 2 more answers
Find the solution of this system of equations.
vagabundo [1.1K]
I'm going to use the substitution method.

4x + 4y = -16
-8x - 6y = -20

4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
-2x + 24 = -20
- 24 - 24
----------------------------
-2x = 44
------- -------
2 2

x = 22


4(22) + 4y = -16
88 + 4y = -16
- 88 - 88
------------------------
4y = -104
------ ---------
4 4

y = -26



The answer is (22, -26).



4 0
3 years ago
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