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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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Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.
Zigmanuir [339]

Answer:

P(E \cup F)=P(E)+P(F).

Step-by-step explanation:

Given the statement

If P(E)+P(F)=P(E \cup F)+P(E \cap F), then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

P(E \cup F)=P(E)+P(F).

3 0
3 years ago
Find the area of the shaded polygon.
Inessa [10]

Answer:

  • 8 square units

Step-by-step explanation:

Split the polygon into 3 triangles as pictured below

<u>They have base and height:</u>

  • 4 and 3, 1 and 1, 3 and 1

<u>Find the area of 3 triangles and add up:</u>

  • A = 1/2bh
  • A = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units

6 0
3 years ago
Read 2 more answers
4.Krissa drew a circle with a radius of 4 inches.
Marina CMI [18]
The answer is Area= 50.265 and the circumference is 25.133
3 0
3 years ago
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The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
Neko [114]

The value of f⁻¹(f(58)) is 58 and the value of the function f(f(5)) is 11

<h3>How to solve the function values?</h3>

As a general rule, we have:

f⁻¹(f(x)) = x

Substitute 58 for x

So, we have:

f⁻¹(f(58)) = 58

Hence, the value of f⁻¹(f(58)) is 58

Also, we have:

f(f(5))

From the table, we have:

f(5) = 9

So, we have:

f(f(5)) = f(9)

From the table, we have:

f(9) = 11

So, we have:

f(f(5)) = 11

Hence, the value of the function f(f(5)) is 11

Read more about invertible function at:

brainly.com/question/14391067

#SPJ1

7 0
2 years ago
Find the volume of the cone. Either enter an exact answer in the terms of pi or use 3.14 for pi​
lukranit [14]

Answer:

37.7cm³

Step-by-step explanation:

pi×r² h/3

3.14×2² 9/3

=37.7cm³

4 0
3 years ago
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