The volume of a cube-shaped box with edges 6 centimeters in length? A. 216 cm³
B. 1,296 cm³
C. 18 cm³
D. 36 cm³

Answers

Answer 1
Answer: Since the length of each side of cube is s.

Volume of a cube = s³ = s*s*s

Since length of side = 6cm

Volume = 6³ = 6*6*6 = 216

Volume = 216 cm³

Option A.
Answer 2
Answer: Volume of a cube is
length x width x height
6x6x6=216cm3

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The number of dogs in a shelter is equal to 4 less than 2 times the number of cats. If there are 20 dogs in the shelter how many cats are there?

Answers

d=number of dogs
c=cats

d equals 4 less than 2 times c
d=-4+2c
20 dogs
d=20
subsitute
20=-4+2c
add 4
24=2c
divide 2
12=c
12 cats

A triangle ABC with vertices A (6, 8), B (6, 12), and C (10, 12) is rotated 90 degrees What are the coordinates of B'?

Answers

i think it would be (2,8)

My cookbook says that a salad sauce should be made of 1/3 lemon juice and 2/3 oil.I put in 50 ml oil but my hand slipped when adding the lemon juice and the total volume is now 90 ml.
How much oil must I add to have the correct proportions?

A 10 ml B 30 ml C 40 ml D 80 ml

Answers

Answer:

We know that you put (90-50), or 40 ml of lemon juice. If 40 ml of lemon juice is 1/3 of the total sauce, then 80 ml of it should be oil.

So you should add 30 ml more oil to make it proportional.

Let me know if this helps!

1. Which expressions are completely factored?Select each correct answer.

24a^4+18=6(4a^4+3)

12a^3+8a=4(3a^3+2a)

16a^5−20a^3=4a^3(4a^2−5)

30a^6−24a^2=3a^2(10a^4−8)

Answers

All but B, as on B an a can be factored out

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? A.) t + b greater than or equal to 20 15t + 8b = 150

B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150

C.) t + b less than or equal to 20 15t + 8b less than or equal to 150

D.) None of the systems shown represent this scenario.

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Earning for tutoring per hour = 15$

Earning for bag boy per hour = 8$

We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.

Nick is only able to work up to 20 hours per week

                     t + b ≤ 20

But must earn at least $150 per week

                    15 t + 8 b ≥ 150

Option B is the correct answer.

The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

a sweater was on sale for 40% off the regular price.Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?

Answers

The sweater has a discount with is 40% of the regular price.
She saved 20 dollars on  the sweater that she bought.
Let's solve for the original price of the sweater then,
=> 20 dollars = 40%.
Let's look for the 60%.
=> 20 / 4 = 5 dollars is the 10% of the sweater's original price.
=> 5 dollars * 10 = 50 dollars
=> Thus the original price of the sweater is 50 dollars.
If you divide 20 by 40% (20/.4) you get 50. The original price was $50 :)