20 POINTS
Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Five minutes later, the tank contains 5 gallons of water.

At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.

How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.

How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

Answers

Answer 1
It is empty a gallon every two and a half minutes so 2 1/2x x=gallons of water

it will take 12 1/2 minutes to completely empty since it takes 2 1/2 minutes per gallon.

the tank was full 7 1/2 minutes before Jada arrived. 10-7= 3 so it emptied 3 gallons before Jada arrived. It takes 2 1/2 mins for a gallon to empty so 2 1/2 times 3 equals 7 1/2 mins

Related Questions

can someone help me solve these two problems? i need to find what x is.

Answers

Answer:

1. x=2

2. x= 0.33

Step-by-step explanation:

1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so

-5 -5

then you have 4x=8. you divide by 4 on both sides

4. 4

so then you get x=2

2.So same here find what 3 to the power of 2 is =9

New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so

9x+4x = 13x

new equation. 4x-1=13x-4

next subtract 4x on both sides

13x-4x=9x

new equation. -1=9x-4

next add 4 to both sides

-1+4= 3

new equation. 3=9x

so then divide 9 on both sides

3÷9= 0.33

x= 0.33

Hope this made sense and helps

Select all expressions that are equivalent to -4(x+2)-2x+4

Answers

-4x-8-2x-4. -6+12 I am really sure of this

-6x-4 is the expression which is equivalent to  -4(x+2)-2x+4

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  -4(x+2)-2x+4

Minus four times of x plus two minus two times of x plus four

x is the variable

Plus and minus are operators

We have to find the equivalent expression of -4(x+2)-2x+4

Apply the distributive property

-4x-8-2x+4

Combine the like terms

-6x-4

Hence, -6x-4 is the expression which is equivalent to  -4(x+2)-2x+4

To learn more on Expressions click:

https://brainly.com/question/14083225

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In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.

Answers

Answer:

26

Step-by-step explanation:

2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26

Answer:

26

Step-by-step explanation:

i did it i got it correct!!!

6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?

Answers

105 divided by 6 = 17.5
105 pt per 1 game. in 6 games they scored 630 points. 105 x 6

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

0

Step-by-step explanation:

There is no slope, but a no slope line is vertical. Therefore making this a zero slope. I hope this helps :)

Answer:

No slope

Step-by-step explanation:

there is no slope because its a flat line, a slope would be an uneven line, or a diagonal

Which ordered pair is a solution of the inequality y<3x+1?

A) (-3,-2)
B) (3,14)
C) (1,-3)
D) (1,6)

Answers

Answer:

c) (1,-3)

Step-by-step explanation:

-3<3(1)+1

-3<3+1

-3<4

{-(-3)x12x(4 - 68 -- 4)} + (2 – 1)

Answers

Answer:

numbers dont do into math please move this to English

Step-by-step explanation:

it posted worng

Item 20 Two groups leave on different flights from the same airport. Group A flies 130 miles due west, then turns 24° toward north and flies 45 miles. Group B flies 130 miles due north, then turns 32° toward east and flies 45 miles. Which group is farther from the airport?

Answers

Answer:

Group A

Step-by-step explanation:

Since in total they moved the same amount of miles then the one with the least turnback (angle in this case) would be farther

Can someone help me with this?

Answers

D

Hope this helps!!!!!

Answer:

B

Step-by-step explanation:

On a circle graph, a section that represents 80% of the graph has a central angle measure of 288º.
True
False

Answers

Answer: true

Hope this helps (:

6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C

Find the number that makes the ratio equivalent to 11:1.
?:4

Answers

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Suzie is measuring furniture for her bedroom. She does not have a tape measure or a ruler. Instead, she uses her book. She knows that the length of her book is 8 inches.

Answers

Answer:

book x 8

Step-by-step explanation:

what does x equal 7(2x+5)=4x -9 -x
PLEASEEEE HELPPPP ME

Answers

Answer: x=-4

Step-by-step explanation:

Given

7(2x+5)=4x-9-x

Expand parenthesis

14x+35=4x-9-x

Combine like terms

14x+35=3x-9

Subtract 35 on both sides

14x+35-35=3x-9-35

14x=3x-44

Subtract 3x on both sides

14x-3x=3x-44-3x

11x=-44

Divide 11 on both sides

11x/11=-44/11

x=-4

Hope this helps!! :)

Please let me know if you have any questions

What is 45.56 rounded to the tenths place?

Answers

Answer:

45.6

Step-by-step explanation:

Answer:

45.6

Step-by-step explanation:

6 is greater than 5 so it rounds up

Does this expression represent the sum 13.76 + 2.8?

1 ten + 6 ones + 5 tenths + 6 hundredths

Answers

Answer:

True

Step-by-step explanation:

it all equals the same

Answer:

yes

Step-by-step explanation:

yes

y2-4y+4/(2-6y) x (2y+4)/(3y2-12)​

Answers

Answer:

what is the question? please ask a question.

$1900 at 9 for 2 years

Answers

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

Round 199,609 to the nearest thousand.

Answers

Answer:

200,000

Step-by-step explanation:

have a good day! ;-)

Answer:

199,609,000

Step-by-step explanation:

Hope this helps!!!

A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer: ​

Answers

ASCENDING ORDER

76,41,36,25,-2,-25

Answer:

1234567891011121314151617181920

Use the figure below to answer the questions.

Answers

1. false
2. false
3. true
4. true
5. false
6. true

A function of x containing four ordered pairs of the form (x, y) is shown below.
у
3
0
5
2
7
4
9
6
What is the range of the function?
A {3, 2, 4, 6}
B {0, 3, 5, 7}
C {0, 2, 4, 6}
D {3, 5, 7, 9}

Answers

I think the answer is jumber B

HELP ME PLZ SURFACE AREA OF A RAMP

Answers

Answer:

i think it 37 square feet

A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =

Answers

There should be 10 blue marbles in the jar because 2+1-13=10

P=10

Hope this helps :)

solve for f(-1), f(x)=-3+3, f(-1)=?

Answers

Answer:

0

Step-by-step explanation:

3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of the 5 will they eat? Write and solve an equation that will help you figure out how much of the remaining pizzas will be eaten. Explain the steps you took to solve the problem.​

Answers

Answer:

4 1/4

Step-by-step explanation:

Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17

17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten

Answer: 4 1/4

Step-by-step explanation:

Please help with this

Answers

9514 1404 393

Answer:

  153 square units

Step-by-step explanation:

The figure is drawn in the attachment with some lengths and points labeled.

The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.

That area is ...

  A = area(ABFE) +area(FGH) -area(BCD)

  = (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)

  = 135 +27 -9 = 153 . . . square units

4x+3y=2
2x+y=6
substitution

Answers

Answer:

(8,-10)

Step-by-step explanation:

4x+3y=2

2x+y=6--->y=-2x+6

4x+3(-2x+6)=2

4x-6x+18=2

-2x=-16

x=8

4(8)+3y=2

32+3y=2

3y=-30

y=-10

Answer:

x=8 y=-26/3

Step-by-step explanation:

2x+y=6

2x=6-y

2x-6=-y

-2x+6=y

4x+3(-2x+6)=2

4x-6x+18=2

4x-6x+16=0

-2x+16=0

-2(x-8)=0

x-8=0

x=8

4(8)+3y=6

32+3y=6

26+3y=0

3y=-26

y=-26/3

Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)

Answers

Answer:

C

Step-by-step explanation:

3(5x + 1) | Given

15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.

C.) 3(5x+1)

Explanation: you use the foil method to distribute the 3.

In ΔFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of ∠F to the nearest degree.

Answers

Answer:

74  

Step-by-step explanation:

The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

What is the law of cosine?

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.

The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,

[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]

Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

Learn more about the law of cosine here;

https://brainly.com/question/4372174

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