MATHEMATICS HIGH SCHOOL

Jamie, John, and Jake are on the prom committee. They are responsible for blowing up the balloons for prom night. John can blowup a balloon every 15 seconds while it takes Jamie and Jake 20 seconds per balloon. If 1 out of 80 balloons are found to be defected after they are inflated, Identify the expression which represents the number of balloons inflated per hour.A) 592.5x
B) 592.5 - 1/80x
C) 600x - 1/80
D) 600 - 1/80x

Answers

Answer 1
Answer: First, pass all the rate of inflation to ballons/hour

John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h

Then sum the rates to obtain the total rate

Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h

If it passes x hours the number of ballons inflated is 600*x

The number of ballon defective are 600*x/80

The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.

Answer: option A)

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What is the sum of the finite arithmetic series?4+8+12+16+...+76

a. 760
b. 780
c. 800
d. 860

Answers

The answer is A. I think. Hope this helped :)

The answer is:

a. 760

Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box? Hint: V = s^(3)

Answers

The box has a shape of cube. The volume of cube with side s in is

V_(cube)=s^3\ in^2.

Since Harriet uses a box of volume 216 cubic inches, then

V_(cube)=216\ in^3

and, therefore,

216=s^3.

Note that 216=6^3, then

6^3=s^3,\n \ns=6\ in.

Answer: the length of each side of the box is 6 inches.
awnser is :864 because 216times 4gives u 864 so ur welcome

If two lines are parallel, which statement must be true?A. Their slopes are reciprocals.
B. Their slopes are opposites.
C. Their slopes are equal.
D. Their slopes are negative reciprocals.

Answers

I believe the correct answer from the choices listed above is option C. If two lines are parallel, their slopes are equal. Having equal slopes mean that the rise and run of the points of the lines are the same. Parallel lines do not intersect even when extended infinitely.

Answer:

C. Their slopes are equal.

Step-by-step explanation:

Given : If two lines are parallel.

To find  : which statement must be true.

Solution : We have given that If two lines are parallel.

We know that two parallel line have same slope

By rise over run :

Therefore, C. Their slopes are equal.

Suppose the volume of milk in a glass is 230 cubic cm. If 1 gallon of milk equals 3.79 liters, how many glasses of milk are in 1 gallon?a. 1 glass
b. glasses
c. 16 glasses

Answers

C. 16 glasses (: 
I hope i helped!

Andrew has a new 3 ft wide bookcase with two shelves, each 15 in. in high. he plans to store his CD’s on the shelves, using new CD racks. Each CD rack is 17 in. wide and 7 in. high, and holds three stacks of 12 CDsWill Andrew have enough room for his 250 CD’s in the bookcase if he uses the two shelves inside the book case it doesn’t put any CDs on top of it? how many CDs will he be able to store?

Answers

Answer: He will not have enough room

Step-by-step explanation: To determine if Andrew has enough room for his 250 CDs on the two shelves inside the bookcase, we need to calculate how many CD racks can fit on each shelf and how many CDs each of these racks can hold.

The bookcase is 3 ft wide, which is equivalent to 36 inches. Each shelf is 15 inches high. Therefore, the available space for CD racks on each shelf is 36 inches in width and 15 inches in height.

Each CD rack is 17 inches wide and 7 inches high. To calculate how many racks can fit on each shelf, we can use the following formula:

Number of racks on a shelf = (Width of shelf) / (Width of CD rack)

Number of racks on a shelf = 36 inches / 17 inches ≈ 2.12 (round down to 2, as you can't have a fraction of a rack)

Now, let's calculate how many CDs each of these racks can hold. Each CD rack can hold three stacks of 12 CDs each, for a total of 3 x 12 = 36 CDs.

So, on each shelf, Andrew can fit 2 CD racks, and each rack can hold 36 CDs. Therefore, each shelf can store 2 x 36 = 72 CDs.

Since Andrew has two shelves, he can store a total of 2 x 72 = 144 CDs in the bookcase.

So, he will be able to store 144 CDs in the bookcase, which is less than his 250 CDs. Therefore, he won't have enough room for all his 250 CDs in the bookcase, and he will need additional storage for the remaining CDs.

What is the slope of the line that contains these two points (-2,2) and (3,2)

Answers

We see based on these points that while the x increases by 5, the y does not change. Therefore, the slope is 0/5=0, by the basic slope formula.
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