MATHEMATICS MIDDLE SCHOOL

13. Mr. Wilfred used a full 2-liter bottle of liquid soap to fill two soap containers.• He put 0.475 liter of soap in the first container.

He put 0.35 liter of soap in the second container.

How many liters of liquid soap remained in the bottle?

0.825 L

B 0.625 L

C

1.175 L

D 1.49 L

Answers

Answer 1

Answer:

Answer:

The amount of liquid soap remained in the bottle will be 1.175 L.

Step-by-step explanation:

Mr. Wilfred used a full 2-liter bottle of liquid soap to fill two soap containers.

In the first container, he puts 0.475 L of soap and in the second container, he puts 0.35 L of soap.

So, he puts in the two containers, the total amount of soap is = (0.475 + 0.35) L = 0.825 L.

Therefore, the amount of liquid soap remained in the bottle will be = (2.000 - 0.825) L = 1.175 L. (Answer)

Answer 2

Answer:

Step-by-step explanation:

0.825

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Lynette has a metal doorstop with the dimensions shown. Each cubic centimeter of the metal in the doorstop has a mass of about 8.6 grams. Find the volume of the metal in the doorstop. Then find the mass of the doorstop.(Picture is provided)

Answers

Answer:

The answers are:

Volume: 75 cubic centimeters

Mass: 645 grams

Step-by-step explanation:

In order to determine both volume and mass of the doorstop, we have to know the formulas of a triangular prism.

I have attached an image that shows some formulas about triangular prism.

As we see in the image, a triangular prism consists basically in a triangular face and its projection.

So, using the variables and formula of the image:

B=10 cm

H=6 cm

L=2.5 cm

$V=(1)/(2)*B*H*L\nV=(1)/(2)*10*6*2.5\nV=75$

Then, we know the density of the metal that is:

δ= $8.6 (gr)/(cm^3)$

So, the mass of the doorstop is:

m=δ*V

m=8.6 $(gr)/(cm^3)$ * 75 $cm^3$

m=645 gr

Finally, the volume is 75 $cm^3$ and the mass 645 gr

75 is the volume. 510 is the mass.

Which expression is not equivalent to -4x^3+x^2-6x+8?a) x^2(-4x+1)-2(3x-4)
b) x(-4x^2-x+6)+8
c) -4x^3+(x-2)(x-4)
d) -4(x^3-2)+x(x-6)

Answers

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A breeder sold half of his horses,then another two. He then sold half of his remaining horses, then another two. He then had his one favorite horse left. How many horses did he have initially?

Answers

Answer:

Step-by-step explanation:

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1+2, then doubled, +2, doubled.

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Answers

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