The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes. The number of gallons, g, is proportional to the number of minutes,m, that the pump operates. Which of the following equations represents the relationship between g and m? Select all that apply.


A) m= 1/55.5g

B) g= 55.5m

C) g= 0.02m

D) g= 166.5/3 m

E) m= 55.5g

Answers

Answer 1

Answer:

A,B,D

Step-by-step explanation:

Answer 2

The equation that represents the relationship between g and m is; y = 55.5x

What is Proportionality?

If two objects are proportional to each other, the link between them can be described by y = kx, where ‘k’ is the constant ratio of y-values to corresponding x-values.

Given that the water pump for a swimming pool can move 166.5 gallons of water in 3 minutes.

Here we need to determine the relationship between the water pump and the time for filling.

Consider x to be the number of minutes and y to be the amount of water that follows on the pump.

Then the proportionality is written as,

y = kx

Where k refers to the amount of water that flows in one minute.

Thus, equals,

=> 166.5/3

=> 55.5

Therefore, the value of k is; 55.5.

Hence, the equation that represents the relationship between g and m is; y = 55.5x

To know more about Proportionality here.

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Combine and Simplify: 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3

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Answer:

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Step-by-step explanation:

Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) =  /3/6 = 1/2

So the equation is:

y = mx + by = 1/2x + 3

A box is supposed to have 150 folders in it. Clare counts only 147 folders in
the box. What is the percent error? *

Answers

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

Geometry is so hard pls help

Answers

The correct answer is option A

Find the slope of the line that passes through the points (2, 1) and (-1,-1).
O
02
O 2/3

Answers

Answer:

0

Step-by-step explanation:

m=y2-y1 / x2-x1

m= -1-1/-1-2

m=0/-3

m=0

Emily is buying cold-weather gear for her family. she pays $100 for 5 pairs of waterproof gloves that each cost the same amount. four of the pairs of gloves are mittens.which expression represents the total cost of four pairs of mittens

Answers

Answer:

the 4 pairs cost 80$

Step-by-step explanation:

Ps. My name is Emily

Answer:

yeetjdjsjsjdjdjjssjsbjsjshssujsidsjsnjsnsnsjdudbejdhdd

Please help me!!
A. 2 and 4 only
B. all of them
C. 1 only
D. 2, 3, 4, only

Answers

Answer:

D

Step-by-step explanation:

Supplementary means 180 degree. Thus, you have to find the two angle that equals 180.

Answer:

I think it is 1 only [B.]

Step-by-step explanation:

I'm not sure, but I hope this helps!

Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

p= 18,275

Step-by-step explanation:

The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.

Did it help at all?

$650,000 was stolen from 1st Trust American Bank during a heist. The bank robbers got away clean and sped away traveling at a constant rate of 70 miles per hour. What the robbers did not realize is that one of the bank bags had a GPS tracking device inside of it. Once the police locked on to the signal of the tracking device they took off after the robbers traveling at a constant rate of 90 miles per hour. If the robbers already had a 30 mile head start, how long will it take the police to pass them and force them off the road to be arrested?

Answers

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:

The speed with which the robbers were travelling = 70 miles per hour

The speed with which the police went after the robbers = 90 miles per hour

The distance with which the robbers were in front of the police before the police came after them =  miles

Let t represent the time in hours the police force the robbers off the road, we have;

30 + 70 × t = 90 × t

30 = 90 × t - 70 × t = (90 - 70) × t = 20 × t

30 = 20 × t

20 × t = 30

t = 30/20 = 1.5

t = 1.5 hours

The time taken before the police force the robbers off the road = t = 1.5 hours

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:

SOLVE FOR X WILL GIVE BRAINLEST

Answers

Answer:

The first one is -3

The second one is 2

Step-by-step explanation:

integer c is 2/3 of the way from A on the integer line. Determine C

A=-23
B=-5

Answers

Answer:

Please see picture below

Step-by-step explanation:

Question 3
True or false. A discount will add to the total cost you
will pay for an item.

Answers

Answer:

False

Step-by-step explanation:

The equivalent of (-8)-4.(-8)2

Answers

The equivalent value of the expression (-8)-4.(-8)² is 768

what is expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

(-8)-4.(-8)²

Using properties of integers

(-8-4)*(-8* -8)

=(-12) * (-64)

= 768

Hence, the equivalent value is 768.

Learn more about expression here:

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find the slope of the line in the given picture, please help soon

Answers

Answer:

Step-by-step explanation:

the answer is 48

The answer is going to be 48 for this question. Have a great day my dude

what is the slope of the line?

Answers

Answer:

[tex]m=\frac{-7}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 4)

Point (1, -3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-3-4}{1+3}[/tex]Subtract/Add:               [tex]m=\frac{-7}{4}[/tex]

Answer: -7/4 is the slope

Step-by-step explanation: find 2 points on the line and the go up seven and over four

A system of two linear equations with two variables is
shown below.
2x + y = 7
3x - 4y = 5
Which answer is the solution to the system of linear
equations?

Answers

Answer:

:/

Step-by-step explanation:

Answer:

x = 3, y = 1

Step-by-step explanation:

Given the 2 equations

2x + y = 7 → (1)

3x - 4y = 5 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

8x + 4y = 28 → (3)

Add (2) and (3) term by term to eliminate y

11x = 33 ( divide both sides by 11 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 7

6 + y = 7 ( subtract 6 from both sides )

y = 1

solution is x = 3 and y = 1

45 Points- Geometry


HELP ME

Answers

3

S<--->T

T<--->S

Same thing

4

Both sides a equivalent therefore both triangle areas are also equivalent

9514 1404 393

Explanation:

The missing reasons are ...

  3. Reflexive property of congruence. A segment is congruent to itself.

  4. SSS postulate. The three corresponding sides are shown congruent, so the triangles are congruent.

What is the length of segment AB? (1 point)

Coordinate grid shown from negative 8 to positive 8 on both x axis and y axis at intervals of 1. A straight line labeled AB is drawn. A is the ordered pair 0, 6 and B is the ordered pair 7, 0.
Group of answer choices

Square root of 13

Square root of 85

14

13

Answers

Answer:

Square root of 85

Step-by-step explanation:

We can envision the segment AB as the hypotenuse of a right triangle with a height of 6 units and a length of 7 units. We can use the Pythagorean Theorem to solve for the length of segment AB which is similar to distance formula.

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

c = Square root of 85.

write down 45 in the Scientific Notation ​

Answers

Answer:

4.5x10^1

The first value should be less than 10

Place these number in order from greatest to least.
-7/5, 16, -1, 3.2, -6.5, 0, 3/4,

Answers

Answer:

Step-by-step explanation:

First, change the fractions into decimals, then use the knowledge of the number line system to know which is greater or smaller than who.

-7/5  -1.4

3/4   0.75

so the numbers are -1.4, 16, -1, 3.2, -6.5, 0, 0.75

from greatest to least:

= 16, 3.2, 0.75, 0, -1, -1.4, -6.5

Last year, the school library had a total of x books. Over the summer, the library acquired another 40 books and now has a total of 1,795 books. Which equation could be used to find x, the number of books the library had last year?

Answers

Answer:

1794-40=x?

Step-by-step explanation:

this is genuine answer but a little bit unsure

Last year = x books

This year = x + 40 books

The needed equation is x + 40 = 1,795.

Solve the following system of equations:

x − 2y = 14
x + 3y = 9

Answers

(12,-1) or x=12 and y=-1

EXPLANATION:
you set both equations equal to each other by subtracting the sum and adding it to the equation. once you set them equal to eachother (x-2y-14=x+3y-9)
you can solve by moving everything to one side by subtracting. once you get it all to one side you can start adding common numbers and variables and solve

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

What is the value of the expression below when w=7 and x=2?
3w - 4x

Answers

Answer:

13

Step-by-step explanation:

3(7)-4x

3(7)-4(2)

21-8

=13

A nest of ants has been growing exponentially in such a way that it's population,P, as a function increasing on average more or less than 1600 ants per week? Enter the value per week to the nearest tenth.

Answers

Not sure question is complete, assumptions however

Answer and explanation:

Given the above, the function of the population of the ants can be modelled thus:

P(x)= 1600x

Where x is the number of weeks and assuming exponential growth 1600 is constant for each week

Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.

On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.

Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.

Answers

Answer:

5 : 3

Step-by-step explanation:

Answer:

$5

Hope this helps!

Which best explains how you know that A(-1,6) is on the same line as a B( -3,10) and C (-5,14)

Answers

Answer:

To get from A to B and from B to C, you move left 2 units and then up 4 units.

Step-by-step explanation:

hope this helps :)

sarah reads 6 stories in 8 day
salma reads 11 stories in 8 days
how many stories can salma read more than sarah in 24 days?

Answers

Your Answer is 15

Sarah by 24 days will have 18 stories read

Salma by 24 days will have 33 stories read

33 - 18 = 15


There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of
fruit in the bowl are apples?
A. 0.06%
B. 40%
C. 6%
D. 0.4%

Answers

I think its B sorry if wrong

Answer:

40%.

Step-by-step explanation:

There are 6 / 15 apples out of the bowl.

6/15 = 2/5 = 0.4

So, 40% of the fruit in the bowl are apples.

Hope this helps!

It took Mrs. Harpole 35 minutes to grade
four student essays. How long will it take
her to grade all her classes, 80 students?

Answers

Answer:

700 minutes or 11.67 hours

Step-by-step explanation:

35/4=8.75

8.75*80=700

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