MATHEMATICS HIGH SCHOOL

when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of inches? Explain

Answers

Answer 1
Answer: greater because a centimeter is smaller than an inch.

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Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?

Answers

Answer: The area of one wall is  216.72 ft^2.

Step-by-step explanation:

16.8 *  12.9 = 216.72

Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-shirts, write an expression that represents how much one T-shirt costs

Answers

so total money=m
cost=total money
cost=number of tshirts times cost per tshirt
subsitute
m=27 times cost per shirt
to solve for cost per 1 shirt, divide both sides by 27
(m)/(27)=cost per 1 shirt

answer is 1 t-shirt costs (m)/(27)
m = the total amount of money spent
y = how much each t-shirt costs
m / 27 = y
because:
y x 27 = m
so the equation is:
>m/27 = y

The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?x = 10; the diver hits the water 10 feet away horizontally from the board
x = 3; the diver hits the water 3 feet away horizontally from the board
x = 10; the diver jumps in the pool at 10 feet per second
x = 3; the diver jumps in the pool at 3 feet per second

Answers

Setting f(x) = 0, we have:
-x2 -7x +30 =0

The roots of this quadratic equation are:
x = 3 and -10

Since the diver is on a diving board, the -10 is somewhere behind him. We use the root x = 3 since this distance is in front of the board.

Therefore, the answer is:
x = 3; the diver hits the water 3 feet away horizontally from the board

The diver hits the water 3 feet away horizontally from the board.

The correct option is (b)

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x,  ax²+bx+c=0 with a ≠ 0 .

Given function: f(x)= -x² -7x +30

Factorising f(x), we get

-x² -7x +30 =0

x² +7x -30 =0

x² +10x - 3x -30 =0

x(x+10)-3(x+10)=

(x+10)(x-3)=0

The roots of this quadratic equation are x = 3 and -10.

As, the diver is on a diving board we will not use -10.

Hence, the diver hits the water 3 feet away horizontally from the board.

Learn more about quadratic equation here:

brainly.com/question/2263981

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55 is 40% of what number

Answers

It is important to do thecalculations very carefully. Otherwise there is nothing complicated about thisproblem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
  = 550/4
  = 137.5
So55 is 40% of 137.50. I hope the procedure is clear to you and in futureyou can solve such problems on your own without requiring any help fromoutside.This is the simplest way of solving suchproblems.
55 is 40% of 137.5

Convert your percentage into a decimal:
40%/100 = 0.4

Divide 55 by the decimal: 
55 ÷ 0.4 = 137.5

How many combinations with 3 numbers 0-6?

Answers

Assuming the digits can be repeated but cannot start with zero;

6x7x7=294

Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?

Answers

Toni can carry five books in her backpack. You must start by subtracting the weight of the other required items. Toni's lunch which is one pound and gym clothes which are two pounds. This can be calculated by 18-1-2=15. Toni has 15 pounds left to carry books. She should divide this by the weight of each book, which is three pounds. 15/3=5. Therefore, Toni can carry five books.
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