Please help me!!!

Problem Situation:
Eric is adding water to a 60-gallon pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?

Inequality that represents this situation:
27≤12+6x

To solve the inequality, you can begin by solving the equation as shown.

Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

Answers

Answer 1

Answer:

2.5 minutes

Step-by-step explanation:

I'm not really sure how to use the equation but this is how you do it:

There are 12 gallons already there and they want to get to 27 so he needs 15 more gallons. We know that it fills up 6 gallons a minute so to fill the 60 gallon pool it will take 10 minutes. 15 is a quarter of 60 so you divide 10 by 4. This gets you 2.5.

Answer 2

The number line which represents all of the solutions for the problem situation is Number line A.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

to solve an inequality:

Volume of the pool = 60-gallons

Water in the pool already = 12 gallons

Water left to fill the pool = 27 gallons

Water flow per minute = 6 gallons

Number of minutes it takes to fill the pool = x

The inequality:

27 ≤ 12 + 6x

subtract 12 from both sides

27 - 12 ≤ 6x

15 ≤ 6x

divide both sides by 6

x ≤ 15/6

x ≤ 2.5 minutes

Therefore, the given inequality has the solution x ≤ 2.5 minutes.

Related Questions

A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

solve for D, E, and F, given the general form x² + y2 + Dc + Ey + F = 0 (since it

is a vertical parabola there is not a z term).

22.

2 +

Y +

0

Answers

Answer:

D = 1/2 , E = -1/2 , F = -5/2

Step-by-step explanation:

vertical parabola : ( 1,-2), ( -3, 10 ), (4, 31 )

General form ; [tex]x^2 + y^2 + Dx + Ey + F = 0[/tex]

( 1 ,-2 ) = x1, y1

( -3, 10 ) = x2, y2

( 4, 31 ) = x3, y3

hence :

[tex]y1 = ax_{1} ^2 + bx_{1} + c[/tex]

[tex]y2 = ax_{2} ^2 + bx_{2} + c[/tex]

[tex]y3 = ax_{3} ^2 + bx_{3} + c[/tex]

attached below is the detailed solution required

D = 1/2 , E = -1/2 , F = -5/2

Grandma’s Garden has an area of 95 square feet. The. Length of one side of her garden would be between what two whole numbers? What is the length of this side to the nearest tenth of a foot? Represent this number on a number line as a square root and a decimal.

Answers

Answer:

Between 9 and 10

Step-by-step explanation:

Area = 95 square feet

The garden is a square

[tex]a^2 = 95[/tex]

a = [tex]\sqrt{95}[/tex] = 9.75

The two whole numbers for side length is between 9 and 10.

The length of this side to the nearest tenth of a foot is 9.8ft.

Identify the place of the 4 in the number: 45,348

Answers

ten thousands and tens place.

Find the slope intercept form of the equation that passes through 6,1 and is PARALLEL to the line y=(2/3)x+20

Answers

Parallel = same slope
Y = 2/3x + b
1 = 2/3(6) + b
1 = 4 + b, b = -3
Equation: y = 2/3x - 3

Answer:

y= 2/3x - 3

Step-by-step explanation:

HELP ASAP WILL GIVE BRANILEST Consider the inequality 7 + 4x > x − 2. Select all the values of x that are solutions.
THERE IS MORE THAN ONE ANSWER
Group of answer choices

x = 0

x = 3

x = 6

x = −3

x = −6

Answers

Answer:

x=3, x=6, x=-3, x=-6

Step-by-step explanation:

So, every single one except 0.

x > -3

x is greater than -3.

i.e -2, -1, 0, 1, 2, 3, 4, 5, . . . . .

From the given option we can select the correct answers.

We see that,

0, 3, and 6 are the correct answer.

The values of x that are solutions to the given inequality are 0, 3, and 6.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

7 + 4x > x - 2

Solve for x.

7 + 4x > x - 2

Subtract x on both sides.

7 + 4x - x > -2

7 + 3x > -2

Subtract 7 on both sides.

7 + 3x - 7 > -2 - 7

3x > -9

Divide both sides by 3.

x > -3

This means x is greater than -3.

i.e -2, -1, 0 , 1, 2, 3, 4, 5, . . . . .

From the given option we can select the correct answers.

We see that,

0, 3, and 6 are the correct answer.

Thus,

The values of x that are solutions to the given inequality are 0, 3, and 6.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Find the probability of rolling either a sum of 3 or 9 on a roll of two dice

Answers

Answer:

3eyhugfshdsasdfghgrew12345[pterfghrdfytfvbkyg12345678910

Step-by-step explanation:

ghgtgghjkjhffhjkuhytggbnm,

4 times a number is 12 less than the square of that number. Find the positive solution

Answers

Answer:

I think its 6

im not 100%sure

Step-by-step explanation:im in 7th grade tho

But can i get brainless

Answer:

Step-by-step explanation:

Have a good day :)

Will give brainliest, urgent

Answers

Answer:

Refer to attached

Step-by-step explanation:

The answer is attached and provided below

Opposite angles = CongruentConsecutive angles = SupplementaryDiagonals = Bisects each otherOpposite sides = Parallel and congruent

What is the sum?
(2x + 5) + (x - 1)

Answers

Answer:

3x+4

Step-by-step explanation:

Parenthesis are not needed in this equation because it is all addition and subtraction. This means another way to write the equation is:

2x+x+5-1

Combine like terms and the answer you get is:

3x+4

What is the quotient of 5 7 ÷ 5 14 ?

Answers

Answer:

= 57 / 514 (Decimal: 0.110895)

Step-by-step explanation:

57 / 514

= 57 / 514

(Decimal: 0.110895)

And if that is not what you are looking for here:

Rewrite the equation as

x /14 = 5/ 7 . x/ 14 = 5/ 7

Multiply both sides of the equation by

14.14 ⋅ x /14 = 14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of 14 .

Cancel the common factor.

14 ⋅ x /14 = 14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify 14 ⋅ 5/ 7 .

Cancel the common factor of 7 .

Factor 7 out of 14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅ 2 ⋅ 5/ 7

Rewrite the expression.

x = 2 ⋅ 5

Multiply 2 by 5 .

x = 10

A baker sells bread for $4 a loaf and rolls for $1 each. The baker needs to sell $36 worth of baked goods by
the end of the day.
Enter a linear equation that describes the problem.
An equation for the value of the baked goods is
bread sold, and r is the number of rolls sold.
= $36, where b is the number of loaves of

Answers

Explanation:

Cost of 1 loaf of bread = $4

Cost of 1 roll = $1

The baker needs to sell both items and it should be worth $36.

To find the linear equation, Suppose, the baker sells "b" loaves of bread and "r" rolls.

Then the total cost of the sales has to be $36.

So, the linear equation will be:

4b + 1r = 36

I’ll mark u as brainlist plssss?!

Answers

Answer:

false

Step-by-step explanation:

I belive it is false

Answer:

true

Step-by-step explanation:

according to what i asked in the comment questions, then true

What is 12.5 percent of 40 A. 0.5 B. 0.32 C. 3.2 or D. 5

Answers

Answer:

12.5% = 0.125

40 × 0.125 = 5

The answer is D

Step-by-step explanation:

Lila rode her bike from 9:30 am to 11:10 am this morning. She rode 1.5 miles every 10 minutes. What is the total number of miles Lila rode this morning?

Answers

Answer:

15mi

Step-by-step explanation:

9:30am to 11:10am equals 100 minutes

100 minutes divided by 10 minutes per segment equals 10 segments

1.5 miles per segment multiplied by 10 segments equals 15 total miles

Your Turn (Activity 1): Find the LCM of 6 and 9 using the multiples of each:

Answers

Answer:

LCM of 6 and 9: 18

I need help with this ASAP, I’ll give brainliest if correct

Answers

I believe the answer would be A, mg good friend. To find it, just plug in -3 for x and 2 for y

Marcus got 3/4 of the questions on his science test correct. If he correctly answered 36 questions, how many questions were on the test?

Answers

Amswer: maybe 37 cause if he got one question wrong then.. yk?

Step-by-step explanation:

48 questions total on the test.

Juan reads 300 pages 5 days which reading rate is equivalent

Answers

60 pages per day!

It is shown that One is reading 300 pages in five days so we need to find a reading rate which would be the total number of pages one reads over the number of days so the substitute does values by doing 300/5 you would get 60 pages per day

1.**
What is the slope of the line

y = 5x - 5/2

Answers

Answer:

Step-by-step explanation:

Slope is number by X

20 POINTS!!!
What is m∠KNL?

Answers

Answer:

m∠KNL = 102°

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Geometry

Vertical Angles: angles that are opposite of each other congruent

Step-by-step explanation:

Step 1: Set up equation

5x + 2 = 3(x + 14)

Step 2: Solve for x

Distribute 3: 5x + 2 = 3x + 42Subtract 3x on both sides: 2x + 2 = 42Subtract 2 on both sides: 2x = 40Divide 2 on both sides: x = 20

Step 3: Find m∠KNL

Define: m∠KNL = 3(x + 14)°Substitute: m∠KNL = 3(20 + 14)°Add: m∠KNL = 3(34)°Multiply: m∠KNL = 102°

if each board in a fence is 6 inches wide, how many boards will josee need to fence 4 sides of a playground that is 60ft wide by 125ft long?

Answers

Cgjnhhhjjnnnnmff
Ccghhjj.

Teagan went to GamerRealm to buy new video games Gamer Realm was having a sale: $65 for video
games he bought 3 games for himself and one game for his friend, Diego, but Teagan does not know how
much legs was for the one game. What is the unit price of the video games? What is the rate unlt?

Answers

Answer:

Step-by-step explanation:

I took the quiz

Write the equation -3x + y + 9 = 0 in Standard Form Ax + By = C with integer coefficients
HELP ASAP PLEASE

Answers

Answer:

-3x + y = -9

Step-by-step explanation:

9.
A triangle has sides with lengths of 9 m, 12 m and 15 m.

Answers

Answer:

perimeter = 36m

Step-by-step explanation:

Its perimeter is 9 + 12 + 15 = 36m

Which answer is correct? Please hurry

Answers

Answer:

Step-by-step explanation:

40 of them are offense players, 5 are special teams which means that 15 are defensive

Answer: 2/3 of 60 = 40

1/12 of 60 = 5

40 + 5 = 45 obviously.

45 + 15 = 60.

Therefore the amount of defensive players would be 15.

Can someone help me out please

Answers

Answer:

I am confused!

Step-by-step explanation:

What is 4,000,000 + 100,000 + 90,000 + 7,000 + 200 + 60 + 5 in standard form?

Answers

Answer:

4,197,265

Step-by-step explanation:

Answer:

4197265

Step-by-step explanation:

It cost Jayden $4.80 to send 96 text messages. How much would it cost to send 155 text messages?

Answers

Answer:

$7.75

Step-by-step explanation:

1. Take the cost - $4.80 for the 96 messages, and divide $4.80 by 96 to get the cost per message.

2. 4.80 ÷ 96 = $0.05 per message

3. Take that figure and multiply by 155 messages.

4. 155 × $0.05 per message = $7.75

Hope this helps!

12 of 14
List all the 4-digit odd numbers that
can be created by rearranging these
number tiles.
4
9
2
3

Answers

Answer:

3429

3249

9423

9243

4923

4329

4239

4293

2943

2349

2439

2493

I thing that this is it.

2349
2439
3249
3429
4239
4329
2493
2943
4293
4923
9243
9423

Mrs. Barlow's math class took a test yesterday. Out of 100 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?

Answers

Ehehehhehwjjwjwjwwjwjjwjw

Answer:

Step-by-step explanation:

70 percent of 100 is [tex]\frac{70}{100}[/tex]

so [tex]\frac{70}{100}[/tex] × 100 students

= 70 students

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