MATHEMATICS HIGH SCHOOL

the glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they create? Explain.

Answers

Answer 1

Answer:

Answer: 4

Explanation:

1) Find the divisors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 20, 30, 40, 60, and 120.

2) Choose combinations of even numbers for the rows and odd number for the columns:

row ------ column

8 ---------- 15 ----- ↔ 8 × 15 = 120

24 -------- 5 ------ ↔ 24 × 5 = 120

40 -------- 3 ------ ↔ 40 × 3 = 120

120 ------ 1 -------- ↔ 120 × 1 = 120

Those are the only arrangements with an even number of rows and odd number of columns: 4 in total.

Answer 2

Answer: Here are the only ones I can think of that have only one even number and one odd number.

8 x 15
5 x 24
3 x 40

I simply used a calculator and did 120/1, 120/2, 120/3 etc.. and found these numbers that work together.

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Help asap. Like hurry

Find the greatest common factor of 10y^3, 4y^6, and -18y

Answers

For $10 y^(3) , 4y^(6) , -18y$
The common factor;
2y

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

Answers

Step-by-step explanation:

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

If you grow 738 pumpkins and sell 481, how many do you have left? A. 481
B. 1,209
C. 257
D. 690

Answers

So, there are 738 pumpkins and you sold 481.
738 pumpkins - 481 pumpkins sold = 257
The answer is C.

738 - 481 = 257
The answer is C. 257
Hope this helped :)

PLEASE HELP ME!!!

THE QUESTIONS IS ON THE FILE!

Answers

the first one is D and so is the 2nd one the 3rd one is 178 the 4th one is 384 and im guessing the 5th one is 50 it might be 45 though..

How many sides does a cylinder have

Answers

Hi, A cylinder has 3 faces - 2 circle ones and a rectangle

correct, it has 2 sides.

A railroad tunnel is shaped like a semiellipseThe height of the tunnel at the center is 58 ft and the vertical clearance must be 29 ft at a point 21 ft from the center. Find an equation for the ellipse.

Answers

y²/58² + x²/b² = 1
(0,58), (-21,29), and (21,29) are points on the ellipse.

29²/58² + 21²/b² = 1
¼ + 21²/b² = 1
21²/b² = ¾
4·21²/3 = b²
b² = 588

y²/3364 + x²/588 = 1

Answer:

Step-by-step explanation:

The equation of ellipse is given as:

$(x^2)/(a^2)+(y^2)/(b^2)=1$ (1)