MATHEMATICS MIDDLE SCHOOL

A hose fills a hot tub at a rate of 2.58 gallons per minute. How many hours will it take to fill a 268-gallon hot tub?

Answers

Answer 1

Answer:

Answer:

1.73 hours

Step-by-step explanation:

This can be solved with proportions.

$(2.58 gallons)/(1 minute) = (268 gallons)/(x minutes) \n$

Cross multiply and you get:

$2.58x gallons * minutes = 268 gallons * minutes\n$

Divide by 2.58 gallons and you get:

$x minutes = (268 gallons)/(2.58 gallons) * minutes \nx minutes = 103.876 minutes\nx = 103.876 minutes\n$

And to find out the number of hours that is, divide by 60 and you get 1.73 hours.

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Ben drinks tea at an incredible rate. He drinks 3-liters of tea everyof an hour. Ben drinks tea at a
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How many liters of tea does he drink in one hour?

Answers

Answer:

Pretty sure its 21/4 = 5 1/4 L, not sure tho...

Step-by-step explanation:

Divide 3 1/2 by 2/3.

3 1/2 = 7/2 as an improper fraction,

7/2 ÷ 2/3

= 7/2 * 3/2

= 21/4 = 5 1/4 L

How do ypu write the fact family for 3,6, and 18

Answers

3*6=18
6*3=18
18/6=3
18/3=6

3 X6 =18
6 X 3= 18
18÷ 3=6
18÷6=3

An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse?

Answers

The algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.
Assume a variable for the changing values.
Put a coefficient for the variable, if there is any rate of change of variable.
Use constant numbers for the fixed values.

An isosceles right triangle is a right triangle with congruent legs. The length of each leg is represented byx.

According to the Pythagoras theorem says that in a right angle triangle, the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let suppose the length of the hypotenuse is h. Thus, the algebraic expression can be used to represent the length of the hypotenuse is,

$h^2=x^2+x^2\n\h=√(x^2+x^2)\nh=√(2x^2)\nh=x√(2)$

Hence, the algebraic expression which can be used to represent the length of the hypotenuse (h) of an isosceles right triangle is h=x√2.

Learn more about the algebraicexpression here;

brainly.com/question/2164351

right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves

c=x×sqrt(2)

c must be positive since its a length, so no need for a +- I. this case

What is the area of the regular hexagon shown?
15 in.

Answers

I don’t know this question is hard I had the same question on a paper and I got it wrong

What is 50% in fractions

Answers

Answer: It is 50/100

Answer:

50/100 or 1/2

The donaldson's swimming pool measures 15 metters long 8 meters wide and 3 meters deep how many cubic meters if water will the pool hold

Answers

V=l*w*h

V= 15*8*3

V= 120*3

V= 360

The pool will hold 360 cubic meters.

Final answer:

The Donaldson swimming pool has a volume of 15 meters * 8 meters * 3 meters, which equals 360 cubic meters. Therefore, it can hold 360 cubic meters of water.

Explanation:

To find out how many cubic meters of water Donaldson's swimming pool will hold, we have to calculate the volume of the pool. The volume of a rectangular prism (which is a good model for this swimming pool) is found by multiplying the length by the width by the height. In this case, the length is 15 meters, the width is 8 meters, and the depth (which is effectively the height for this calculation) is 3 meters.

So, the calculation is: 15 meters * 8 meters * 3 meters = 360 cubic meters.

Therefore, Donaldson's swimming pool will hold 360 cubic meters of water when filled.