Karen colors are n squares on a grid . She colored 1/8 of the squares blue and 5/8 of the squares red . What fraction of the squares care not colored in?

Answers

Answer 1

Answer:

Answer: The fraction of the squares that are not colored is $(1)/(4).$

Step-by-step explanation: Given that Karen colors are n squares on a grid, out of which she colored $(1)/(8)$ of the squares blue and $(5)/(8)$ of the squares red.

We are to find the fraction of the squares that are not colored.

Total number of squares = n.

Number of squares that are colored blue is given by

$S_b=(1)/(8)* n=(n)/(8),$

and the number of the squares that are colored red is given by

$S_r=(5)/(8)* n=(5n)/(8).$

So, the total number of squares that are colored will be

$SC=S_b+S_r=(n)/(8)+(5n)/(8)=(6n)/(8)=(3n)/(4).$

Therefore, the number of squares that are not colored is

$SC_n=n-(3n)/(4)=(n)/(4)=(1)/(4)* n.$

Thus, the fraction of the squares that are not colored is $(1)/(4).$

Answer 2

Answer: 2/8 or 1/4 if you reduce it.

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How to do these problems

Answers

so all you have to do is divide the fractions. you would write 7/15 in your calculator, and boom you have the answer. or, you can just divide it by pencil and paper, which is harder. 4/5=0.8

Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4x^3= -27/4

Answers

We can start by separating the x^3, and that means we have to multiply both sides by 4, resulting in x^3=27. Next, we can find the cube root of both sides ( as x is the cube root of x^3), getting x=3

If a cylinder holds a volume of 100 cm3, and is 30 cm tall, which is the area of the bottom of the cylinder?

Answers

=πr2h

Area of circle
=πr2

=V/h
=100/30
≈3.33cm

Well, lets break this down.

Volume = area of base * height

we know that the volume is 100 and the height is 30 so we can work backwards

100 = b * 30

now divide both sides by 30

(100/30) = b * (30/30)

the height cancels itself out and we are left with...

base = 3.33

therefore your answer is 3.33 cm^2

Which algebraic expression is equivalent to the expression below?15(9 + 5x) + 16

75x - 151
75x + 151
75x + 119
5x + 151

Answers

so first distibute using distributive porperty

distributive property=
a(b+c)=ab+ac

so 15(9+5x)=135+75x

135+75x+16
group like terms
75x+151

the answer is the second option

Simplify:
15 (5x+9)+16

15 (5x+9) = 75x+135:
75x+135+16

75x+(135+16) = 75x + 151
Answer = 75x + 151

What is the sum of 6 7/8 + 4 5/8

Answers

$6(7)/(8)+4(5)/(8)\n----------------\n6+4=10\n\n(7)/(8)+(5)/(8)=(7+5)/(8)=(12)/(8)=1(4)/(8)=1(1)/(2)\n\n10+1(1)/(2)=11(1)/(2)\n\n====================\n\n6(7)/(8)+4(5)/(8)=11(1)/(2)$

6, 7/8 + 4, 5/8 = 10, 12/8 = 11, 4/8 = 11, 1/2 (1/2 = 4/8 simplest form)
Hope that made sense :)

You are going to a friend's house to watch a movie. If you drive on Street C, the distance is 3 miles. You need to stop at the movie store on Street A. The store is 1 mile from your house. What is the distance you will drive on Street B from the movie store to your friend's house? (right triangle)