MATHEMATICS HIGH SCHOOL

A pipe fills a barrel with vinegar in 20 minutes. A release valve on the barrel, used for drainage, can empty the barrel in 40 minutes. A new employee mistakenly left the drainage valve open as he turned on the pipe to fill a barrel. How long will it take to fill the barrel if the pipe is filling at the same time the valve is emptying?

Answers

Answer 1

Answer:

Answer:

40 minutes

Step-by-step explanation:

We have a load and a discharge, given by a speed that would be a barrel / minute.

Which means that the loading rate is: 1/20

And the discharge rate: 1/40

Since they are contrary, the result would be the subtraction between these two rates:

1/20 - 1/40 = 1 / x

1 / x = 0.025

x = 1 / 0.025

x = 40

Which means it will take 40 minutes to fill under the mentioned conditions

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Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?3x + 2y = 10
2y + 3x = 10
2x + 3y = 10

Answers

The abcissa is the name given to the x-coordinate while the ordinate is the other name for the y-coordinate. So, in mathematical terms, "twice the abcissa increased by three times the ordinate is ten" is then described by the third option which is 2x+3y=10.

Answer:

Step-by-step explanation:

Given : Twice the abscissa increased by three times the ordinate is ten.

To find : which equation represent Twice the abscissa increased by three times the ordinate is ten.

Solution : We have abscissa = x.

Ordinate = y.

According to given statement :

Twice the abscissa = 2 * x .

Three times the ordinate = 3 * y.

Twice the abscissa increased by three times the ordinate is ten :

2 * x + 3 * y = 10.

Therefore, This equation 2 * x + 3 * y = 10 is correct.

Caleb types 100 words in 5 minutes. what is the unit rate?

Answers

20 words per minute is the answer

your answer is C.

Holps this helps :D

What is slope of the line 15x-3y=90

Answers

Final answer:

The slope of the line 15x - 3y = 90 is 5.

Explanation:

The slope of a line can be determined using the equation in slope-intercept form, y = mx + b, where m represents the slope. To find the slope of the line 15x - 3y = 90, rearrange the equation to the form y = mx + b. Subtract 15x from both sides to isolate the -3y term, and then divide both sides by -3 to solve for y as a function of x. The resulting equation will be in the form y = mx + b, and the coefficient of xwill be the slope.

15x - 3y = 90
-3y = -15x + 90
y = 5x - 30

Therefore, the slope of the line 15x - 3y = 90 is 5.

Learn more about Slope here:

brainly.com/question/34849567

#SPJ2

The line is not in slope intercept form, so you need to get y by itself

15x -3y = 90

Subtract 15x

-3y = -15x + 90

Divide by -3

y = 5x -30

So, the slope (x) is 5/1.

I hope that helps!

I get brain damage from these please help me. I need a detailed answer of how to do this as well

Answers

I can’t see the picture it’s blurry post it again

Add and simplify 9/16 + 1/2= ?

Answers

when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
$(1*8)/(2*8) = (8)/(16)$
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.

$(9)/(16) + (8)/(16) = (17)/(16)$
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16

The addition of $\frac{9}{{16}} +(1)/(2)$ is $\boxed{\frac{{17}}{{16}}}.$