Mathematics Middle School

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?

Answers

Answer 1

i believe the x value is 12. so it is 12, 24

Answer 2

Answer:

(12,24)

Step-by-step explanation:

Givens

The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).

We can deduct the equation that represents this problem using the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]

So, for [tex]y=24[/tex], we have

[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]

Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).

Related Questions

Brittany is selling car magnets. She purchased a them for $7.50 each and marks up the price by 30%. How much is Brittany planning to charge

Answers

Hello! So Brittany plans to sell car magnets that she purchased at $7.50 and mark them up by 30%. To find the new price, we can multiply 7.50 * 1.30. When multiplied, it gives us 9.75. Brittany is planning to charge $9.75 for the car magnets.

4a+15 whats the answer

Answers

A=3.75

15/4 = 3.75

4(3.75)=15

Express each ratio as a fraction in simplest form:

0.3 km to 500 m

Answers

Answer: 3/5

Step-by-step explanation:

The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.

1000 metre makes 1 kilometers. Therefore,

0.3km = 0.3 × 1000 = 300 metre

0.3 km to 500m= 300m to 500m

300m : 500m = 300/500

Reducing to its lowest term, 100 is a common factor.

300/500 = (100×3) / (100×5)

= 3/5.

Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? 2x = -50 2x + 1 = -50 2x + 2 = -50 x2 + 1= -50

Answers

consecutive even integers are 2 apart

so they are x and x+2

their sum is x+x+2

the sum is -50

so x+x+2=-50 would be the equation

we can simplify it to get 2x+2=-50

the answer is the 3rd option

The radius of a circular Frisbee is 9.8 centimeters. Using rounding to the nearest whole number, what is an estimate for the circumference of this circle?
A. 50 cm B. 60 cm C. 65 cm D. 72 cm

Answers

The answer is B. 60 cm

3.2 ÷ 10.261
Dividing decimal

Answers

The answer to this is 0.31186

3.2 divided by 10.261 equals 0.31186044245
10.261 divided by 3.2 equals 3.2065625

Me. Simpson drove 105 miles in 2 1/2 hour what was mr. Simpson speed in miles per hour

Answers

divide total miles driven by time:

105 miles / 2.5 hours = 42 miles per hour

Six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive?

Answers

So first, I would convert 3/5 to 6/10, because it is equivalent and easier.

You can then just deduce that 1/10 would be 1/6 of 6/10, and that each person would therefore get 1/10 of a pound of peanuts.

You could also divide 3/5 by 6.

3/5 / 6 = 3/5 * 1/6

3/5 * 1/6 = 3/30

3/30 = 1/10

A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line

Answers

Try writing it in point-slope form and you will see why you have a problem.

slope m is equal to (y2-y1)/(x2-x1):

m = (y2-y1)/(x2-x1) = (2-6)/(-6 - -6) = -4/0

The denominator has a zero, so it is undefined.

Since the point-slope form requires "m" to be defined, you can't write the equation of the line using point-slope form.

0.561 rounded to the nearest hundredth is what

Answers

0.56 4 and below round it down, 5 and above round it up.

0.561 rounded to the nearest hundredth is 0.56. Remember the 10th and 100th places in decimals, 10th being the place of the 5, and 100th being the place of the 6. When rounding, you only raise it if the number you are given is higher than 5. Because it's just a 1, in this case you can just take it off.

between which two consecutive whole numbers is square root 95

Answers

Think: 81 and 100 are perfect squares. 95 is between these.

Thus, sqrt(95) is between sqrt(81) and sqrt(100), or between 9 and 10.

Answer:

81..........................................................................................

Step-by-step explanation:

How many times greater is 1 kilogram than 1 microgram?

Answers

1 kilogram
1 * 10^3 gram

1 microgram
1 * 10^-3 gram

1 kilogram / 1 microgram
10^3 / 10^-3
10^6

JoeBucannon's answer is in fact false, you cant really do that formula to find the answer, check it through a conversion calulator and you will find that 1.000000e+9µg is your answer.

(I really also dont wanna waste your time so 1.000000e+9µg = 10^9)

If P(A) = 0.5, P(B) = 0.3, and P(A or B) = 0.6, find P(A and B)

Answers

P(A or B) = P(A) + P(B) - P(A and B), which means that the probability that A or B occurs is equal to the probability that A occurs plus the probability that B occurs minus the probability that both A and B occur.

So, you know P(A), P(B) and P(A or B) and you can solve for P A and B) =>

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.5 + 0.3 - 0.6 = 0.8 - 0.6 = 0.2

Answer: P(A and B) = 0.2

How would you use the Associative Property of Multiplication to compute 4x25x27 mentally.

Answers

(4 * 25) * 27
= 100 * 27
= 2,700

Think of 4x25 as quarters you get 100 multiply x27put 2 zeros at the end of 27 and you get the answer

Which is the best estimate of 54 times 68

Answers

54x68 estimated would be 50x70 so your answer would be 3,500

candy buys 20 ounces of mixed nuts .she puts an equal number of ounces in each of 3 bags .how many ounces of nuts will be in each bag?write the answer as a whole number and a fraction.

Answers

20 divide by 3 equals 6.66666666667 as a whole number.
As a fraction it is 20/3

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

Candy buys 20 ounces of mixed nuts.

She puts an equal number of ounces in each 3 bags.

In each bag she can put = [tex]\frac{20}{3}[/tex]

= [tex]6\frac{2}{3}[/tex]

She can put [tex]6\frac{2}{3}[/tex] ounces of nuts in each bag.

What is the reciprocal of 7/12?

1. -12/7
2.-7/12
3.7/12
4.12/7

Someone told me you just have to flip the fraction so would that make this answer 12/7?

Answers

yes just flip it and youll have the answer

The answer would be -12/7. You flip the fraction and the sign, so 12 would go on the top, 7 would go on the bottom, and the value would become negative.

the tallest tree a redwood name Hyperion measures 379 feet tall and the average NBA player is 80 inches. how many NBA players would it take to equal the height of the tree?

Answers

379*12 ÷ 80
4548 / 80
57 NBA players

Take note that we will always round up because it must surpass 379 in.

Hope this helps!

4(approx) it would take to reach height of the tree

What is the x and y intercept for 4x-5y=-20

Answers

x intercept is when y = 0 so 4x = -20, x=-5
y intercept when x = 0 so -5y = -20, y=4

i believe... y is 1 and the x is -1...correct me if im wrong...

Which of the following numbers has 5 in the ten thousands place A. 652,341. B. 562, 341. C. 462,541. D. 265,401

Answers

The answer would be A.

A. 652341
Six hundred and Fifty-two thousand, three hundred and forty-one.
6 hundred thousands
5 ten thousands

3x+2y+4+9y=
Plz answer

Answers

3x+2y+4+9y=

Combine like terms:
2y+9y=11y

I believe the answer is 3x+11y+4

(That is unless you know the numbers that y & x equals)

Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)

Answers

A linear function is one whose formula can be written in the form

Ax + By = C where A, B, C are real numbers and A, B are not both 0. (This is standard form, too.)

[tex]\frac{x+4}{2} = \frac{y-4}{3}[/tex]

"Cross multiply."

[tex]3(x+4) = 2(y-4) \\ 3x+12 = 2y-8[/tex]

Subtract 12.

[tex]3x=2y-20[/tex]

Subtract 2y.

[tex]3x-2y=-20[/tex]

This matches up with standard form with A = 3, B = -2, C = -20.

It's a linear function.

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/3 miles. At this rate , how many miles can the vehicle travel per gallon of gasoline? Show your work.

Answers

13 1/3 miles = 40/3 miles
1 1/8 gallons of gasoline = 9/8 gallons of gasoline

(40/3) / (9/8)
= 40/3 x 8/9
= 320 /27
= 11 23/27 miles gallon of gasoline

Answer:

13 1/3 miles = 40/3 miles

Step-by-step explanation:

1 1/8 gallons of gasoline = 9/8 gallons of gasoline

(40/3) / (9/8)

= 40/3 x 8/9

= 320 /27

= 11 23/27 miles gallon of gasoline

Which is a correct definition for an obtuse angle? A. an angle with a measure that equals the measure of a square corner B. an angle with a measure that is less than the measure of a square corner C. an angle with a measure that is greater than the measure of a square corner D. an angle that looks like a line

Answers

the answer is for sure c.

It is C an angle that is greater than 90 degrees which is the same thing as a square corner

you live 3.67 miles from your grandparents and you are biking how do you solve this

Answers

To solve for revolutions, we will have to take the distance of the travel and divide that by the circumference of the wheel.

Distance of travel = 3.67 miles
Circumference of wheel = 82.6 inches

We have to convert the inches to miles. There are 63360 inches in one mile.

Circumference of wheel = 82.6 in * (1 mi/63360 in) = 0.0013 miles

Revolutions = Distance/Circumference = 63,538.46 revolutions

Help please. I don’t understand.

Answers

Multiply 270 × 7/100, which equals to 18.9, and then subtract 270 - 18.9, which gives you 251.1.

what is the value of b in the equation brainly (y^-9)^b=y^45?

a. -405
b. -5
c. 5
d. 405

Answers

Answer:

its -5 just took the test

Step-by-step explanation:

Answer:

The correct answer is option B, - 5

Step-by-step explanation:

Side a = 4
Side b = 3
Side c = 5
How would you find the sine of Angle B?

Divide 3 by 90 degrees.
Divide 5 by 3.
Divide 3 by 5.
Divide 3 by 4.

Answers

sin B = opp/hyp

sin B = 3/5

ratio 5 to 15 in a fraction lowest term

Answers

To do this, divide the numerator and denominator by the GCF. In this case, it's 5.

5:15
5 ÷ 5: 15÷5
1:3

Hope this helps!

To solve this ratio, we must first find the GCF, or the Greatest Common Factor, that is, the largest number that fits into both numbers. We can set up a table to compare the factors of each individual number, then identify common factors between the two numbers.

15 | 1 3 5 15
5 | 1 5

We see that the common factors include 1 and 5, however, 5 is the greatest common factor. Now we can simplify the ratio by dividing both numbers by 5.

5/5 = 1
15/5 = 3

Simplified Ratio: 1:3 (which is 1/3).

:)

Determine the missing information in the paragraph proof.

Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel.

Prove: Parallel lines have the same slope.

Since slope is calculated using the formula , the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Slope = change in y / change in x
Slope of PQ = (z - v) / (x - w)

Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))
Slope of P'Q' = (z - v) / (x - w)

The slopes of both lines are equivalent to
(z - v) / (x - w)

Answer:

The answer should be A) v-z w-x

Step-by-step explanation:

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