tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.

Answers

Answer 1

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5


Related Questions

I need to know the surface area of these

Answers

9514 1404 393

Answer:

  245 cm²

Step-by-step explanation:

The surface area of a cone is given by ...

  SA = πr(r +s) . . . . where r is the radius, and s is the slant height

Filling in the given values, we have ...

  SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²

The surface area of the cone is about 245 cm².

Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect

Answers

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Where do I put the parentheses in 15-3x4+9=12

Answers

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

Answer:

It varies but this is one example

15 - (3 x 4) + 9 = 12

plz mark as brainliest

if QS= 13 and RS= 12 what is the length of QR

Answers

Right. It is D. Cause RS would be 6 because you would put half. Then round QS= 13. You will find your answer then.

The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

Answers

Answer:

The p-value for a two-tailed test of hypothesis is 0.0164.

Step-by-step explanation:

The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

This means that we look at the z-table, and we have to find:

[tex]P(|Z| > 2.4)[/tex]

Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.

Looking at the z-table, z = 2.4 has a pvalue of 0.9918

1 - 0.9918 = 0.0082

2*0.0082 = 0.0164

The p-value for a two-tailed test of hypothesis is 0.0164.

Please answer thank u ASAP.

Answers

Answer:

a?

Step-by-step explanation:

The diameter of a circle is 2 feet. What is the circle's area?

Answers

A=pi•r•r
A=3.1415•1•1

A=3.1415

compare and contrast area and perimeter

Answers

Answer:

area is the numbers around the shape and perimeter is inside

Step-by-step explanation:

solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft

B.
87.96 ft

C-21.99 ft

D-153.94 ft

Answers

15 it was rigth  in khan academy if u got the letter one its A

The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,

C = π x 14

C = 43.98 square feet

Thus, the correct option is A.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ2

Suppose that when a system of linear equations is graphed, one line completely overlaps the other line. Which statement is correct?
The system of equations has one solution because the lines intersect at one point.
The system of equations has one solution because the lines do not intersect at only one point.
The system of equations does not have only one solution because the lines intersect at one point.
The system of equations does not have only one solution because the lines do not intersect at only one point.

Answers

Answer:

The system of equations does not have only one solution because the lines do not intersect at only one point.

Step-by-step explanation:

If the lines are covered by each other, they intersect at all the points they overlap on. So, there is more than on solution.

The following statement is correct.

The system of equations does not have only one solution because the lines do not intersect at only one point.

The following information should be considered:

In the case when the system of linear equations is graphed and one line is overlap to the other one.So here the system of equation contains more than one solution as the lines are not intersected at only one point but more than one point.

Learn more: brainly.com/question/17429689

Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)

Answers

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

What is fraction is equal 54%

Answers

Answer:

27/50

20 character minimum

3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58​

Answers

9514 1404 393

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...

  (x, y) = (6, -2)

__

There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.

  7x +8y -26 = 0

  12x +7y -58 = 0

__

  [tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]

The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.

  d1 = (7)(7) -(12)(8) = -47

  d2 = (8)(-58) -(7)(-26) = -282

  d3 = (-26)(12) -(-58)(7) = 94

The solution to the equations is given by ...

  1/d1 = x/d2 = y/d3   ⇒  

  x = d2/d1 = -282/-47 = 6

  y = d3/d1 = 94/-47 = -2

The solution is (x, y) = (6, -2).

_____

Additional comment

If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV

The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.

3(4c + 5) = (3.4c) + (3.5) is an example of which property
a) Commutative property
b) Distributive property
c) Inverse Operation property
d) Multiplication property

Answers

Answer: B) Distributive property

Step-by-step explanation:

Definition:

- Commutative property: a+b=b+a

- Distributive property: a(b+c)=ab+ac

- Inverse operation property:

In Addition: a+(-a)=0In Multiplication: a×(1/a)=1

- Multiplication property: If a=b, a×c=b×c

Solve:

GIven

3(4c+5)=(3·4c)+(3·5)

This is distributive property because it is distributing 3 to each of the numbers in the parenthesis.

Hope this helps!! :)

Please let me know if you have any quesitons

How many cups are in 5/1/2 pints

Answers

Answer:

11 cups

Step-by-step explanation:

Answer:

11 us cups are in 5 1/2 pints

Step-by-step explanation:

hope this helps

The expression x^2- x + 8.75 factors as (x + 2.5)(x - a) for some positive value "a". What is a?
step by step, please.

Answers

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.

Answers

Answer:

0.75 hours more

Solve the following quadratic equation 3×^2-5=0

Answers

ANSWER:

X= radical 15/3 , radical -15/3

Decimal form:

X=1.29099444
X=-1.29099444


MARK ME BRAINLIEST PLEASE

F’(x)= 1+3 square root x f(9)=68

Answers

Answer:

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]

Apply the reverse power rule

[tex]x + 2x^\frac{3}{2} + C[/tex]

Now solve for C when x = 9

[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]

Now substitute into the antiderivative

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

What is the missing length?

Answers

3
This is because the area of a rhombus is A=sh
since the height is 4 mm, and the area is 12mm^2 the length is 3
I think the answer is 3mm

olve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices {Select All That Apply}

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

a reflection across y=2
HELP DUE VERY SOON

Answers

Answer:

n' = (-5,2)  k' = (-1,1)  t' = (-5,0)

Step-by-step explanation:

Solve for y
X+y=6
X=4
Simplify your answer as much as possible
Will give Brainliest

Answers

Answer and workin your attached below. Hope it helps
2...........................

the two rectangular plots of land have properties side lengths what is the perimeter of the smaller rectangle A. 28 B. 32 C. 36 D. 76

Answers

Answer:

I think that it would be b 32

If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that represents the graph?

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.

Answers

Answer:

-12, -3/4, -0.4, 0.4, 3/4, 8

Step-by-step explanation:

Which one is the greatest volume

Answers

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.

PLEASE HELP

Answers

Answer/Step-by-step explanation:

H = V/lw

H = 984/20.5*6

H = 984/128

H = 8

ANSWER:

H = 8

Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)​

Answers

Answer:

hi

Step-by-step explanation:

5x+10+2x+10+90=180

5x+2x=180-10-10-90

7x=70

x=10

have a nice day

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