Container A and container B have leaks. Container A has 800 ml of water, and is

leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute.

How many minutes will it take for the two containers to have the same amount of

water?

**Write an equation to represent the situation (first blank). Use the variable m, for

minutes.

**Then solve for m (second blank).

**Finally, use your solution to determine the water level at that time (third blank).

The equation

can represent this situation. It will take

minutes for the two containers to have the same amount of water. At this time,

both containers will have ml left.

Answers

Answer 1

Answer:

a) 50 minutes

b) The water level at 50 minutes for Container A and B would be 500ml

Step-by-step explanation:

a) Let number of minutes at which both containers leak be represented by m.

Container A has 800 ml of water, and is leaking 6 ml per minute.

800ml - 6ml × m

800 - 6m

Container B has 1000 ml, and is leaking 10 ml per minute.

1000ml - 10ml × m

1000 - 10m

How many minutes will it take for the two containers to have the same amount of water?

Container A = Container B

800 - 6m = 1000 - 10m

Collect like terms

-6m + 10m = 1000 - 800

4m = 200

m = 200/4

m = 50 minutes

It will take 50 minutes for the two containers to have the same amount of water.

b) Finally, use your solution to determine the water level at that time.

Since m = 50 minutes

Container A = Container B

800 - 6m = 1000 - 10m

800 - 6 × 50 = 1000 - 10 × 50

800 - 300 = 1000 - 500

500 ml = 500 ml

Therefore, the water level at 50 minutes is 500 ml


Related Questions

Help I have 7 minutes

Answers

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.

Which ordered pair does NOT lie on the graph of h(x) = -2x + 7?

A(-1,9)
B(-2,3)
None of the other answers are correct C(3, 1)
D (4,-1)​

Answers

(-2,3) does not lie on the graph of h(x)=-2x+7

how many dimes equal the value of 6 quarters.show you step​

Answers

Answer:

15 dimes

Step-by-step explanation:

6 quarter = 1.50$

150 / 10 = x amount of dimes

X amount of dimes = 150$

15 dimes = 1.50$

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters

Step-by-step explanation:

f(x) = 24
g(x) = x2 + 3x – 3

Answers

Answer:

Step-by-step explanation:

24

x

2

+

72

x

72

Which graph shows the solution to the inequality −2(2x+3)≤26?

Answers

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

Will mark brainlist if the correct answer.
Simplify 6√-20

Answers

Answer:

12i √5

Step-by-step explanation:

12i √5 is the answer. You have a negative square root so the answer must have the i, for imaginary number, in it.

Answer:

The correct answer is 26.8328157

Step-by-step explanation:

All you have to do to get this answer is you have to...

Let sqrt (x) - sqrt(y) be the square root.

6 - sqrt(20) = x + y - 2 * sqrt(xy)

So x+y = 6. And x * y = 5.

Clearly x = 5 and y = 1, as we want positive square root.

Answer = sqrt 26.8328157

WILL MARK BRAINLIEST TO THE FIRST CORRECT ANSWER GIVEN!! pls help ASAP

Answers

Answer:

b = [tex]\frac{2}{9}[/tex]

c = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

(04.01) Which unit rate is equivalent to 13 miles per gallon? A: 26 miles 2 gallons. B: 2 gallons 26 miles. C 39 miles 4 gallons. D: 4 gallons 39 miles.​

Answers

Answer:

A 26 miles per 2 gallons

Please help I can need and I am taking the final in fat

Answers

Answer:

This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.

Answer:

x=7.51

Step-by-step explanation:

There are 12 pieces of candy in Miguel's Halloween bag. 3 are Reese's, 4 are M&M's, 3 are lollipops and 2 are sour gummy worms. What is the ratio of Reese's to the total number of pieces of candy in the bag and is this a part to part, part to whole or whole to part relationship?

Pick the correct answer

1. 3:12 part to part
2. 12:3 part to part
3. 3:12, part to whole
4. 12:3 part to whole

don’t use this question for points plz!

Answers

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

I need help with this equation

Answers

Answer:

Here:)

Step-by-step explanation:

x= -8

Answer: x = -8

Step-by-step explanation:

8x = 4x - 32

subtract 4x from both sides

4x = -32

divide by 4 on both sides

x = -8

:)

If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?

Answers

Answer:

the equation for the line will be y=-8x-5

Step-by-step explanation:

the slope is -8 and the y-intercept is (0,-5)

so we put that into the slope-intercept form equation

y=mx+b

y=-8x-5

Maria earns an hourly wage of $10. She drew the following graph to show the relation of her income as a function of the hours she works. How did she modify the function y = x to create her graph?

Answers

y = 10x this is the answer

what is the solution of the equation 4.5 - 6s=9

Answers

Answer:

s = -0.75

Step-by-step explanation:

What is the domain and range please?

Answers

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.

1 litre of a liquid P has a mass of p grams. 1 Litre of a liquid Q has a mass of q grams. A liquid R is made by mixing a volume of liquid P with a volume of liquid Q in the ratio 3:7. Find an expression, in terms of p and q, for the mass of 50 litres of liquid R

Answers

Answer:

mass of 50 L of R = 15p + 35q

Step-by-step explanation:

1L of P = p g

1L of Q = q g

R = 3P + 7Q

total = 10

P = 3/10 R

Q = 7/10 R

R = 50 L

50 L × 0.3 = 15 L the amount of P in L

15 L of P = 15p g

35 L 0f Q = 35 q g

then

mass of 50 L of R = 15 p + 35 q grams

What are the points of intersection between the graphs of the functions
f(x) = x²(x + 1) and g(x) = x + 1?

Answers

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

g(-1) = x + 1 = -1 + 1 = 0

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

Learn more:

https://brainly.com/question/16276433

https://brainly.com/question/11604425

How many isosceles triangles with whole-number length sides have a perimeter of 20 units?

Answers

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles

(52 divided by 4) + 5 exponent 3

Answers

the answer is 138, have a good day!

Answer:

138

Step-by-step explanation:

52÷4+5^3

52÷4+125

13+125

138

1.What is the slope of the line?
(simplify your answer)

2. What is the value of a?

3. What is the value of b?

4. What is the y-coordinate when x = 0?

Answers

Answer:

1. slope is 2

2. a is 5

3. b is 6

4. 0

Step-by-step explanation:

Which angles are corresponding angles?

Answers

Answer:

I and H

Step-by-step explanation:

What is the mean of the data 25, 27, 24, 26, 40 and what is the median

Answers

Answer:

mean is = 28.4

median is = 26

Step-by-step explanation:

mean- average

( 25+ 27+ 24+ 26+ 40 )/5 = 28.4

median- middle

25, 27, 24, 26, 40

{ rearrange }

24, 25, 26, 27, 40

the middle number is 26

What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64

Answers

Answer:

The diameter of a circle with the equation is 16.

Step-by-step explanation:

Given the equation

[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]

We know that the circle equation with radius 'r', centered at (a, b)

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]

Here,

radius = r = 8

center = (4, -6)

Hence, the radius of the circle is: r = 8

we know that

diameter = 2r

               = 2(8)

               = 16

Therefore, the diameter of a circle with the equation is 16.

Answer:

They are correct. The answer is c. 16

Step-by-step explanation:

HURRY I NEED HELPPPP!!

Answers

Answer:

AB and GF

Step-by-step explanation:

The answer is AB and GF ;)

A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.

Answers

Answer:

n = (1/9)u

Step-by-step explanation:

This is a direct variation relationship of the form

n = ku

For n = 2, u = 18.

2 = k * 18

We solve for k.

k = 2/18

k = 1/9

Now we use k in the equation of the relationship.

n = (1/9)u

ABC is a central angke in a cirvle with center B. The length of the radius is 13 km and m

Answers

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km


Mae Ling earns a weekly salary of $390 plus a 5.0% commission on sales at a gift shop.
How much would she make in a work week if she sold $4,100 worth of merchandise?

Answers

Answer:

$595 dollars in a week

Step-by-step explanation:

We know that Mae Ling earns $390 per week plus sales commissions of 5.0%, if we express this would be: (x refers to sales)

[tex]Earnings = $390 + 0.050x[/tex]

So, it would be:

[tex]Earnings = $390 + 0.050(4100) = $595[/tex]

(3y + 4) - (2y - 7)
plz help ASAP!!!

Answers

Step-by-step explanation:

3y + 4) - (2y - 7)

=3y-2y-7+4

=y-3

Answer:

y+11

Step-by-step explanation:

Distribute and remove parentheses.

3y + 4 - 2y +7

Combine Like-Terms:

y + 11

A new food delivery robot on a college campus is doing test runs at a constant speed of 4 miles per hour. The average test run is 3 miles from the campus cafeteria but varies a distance of 1.5 miles more or less than that. If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is ____. For each test run, the minimum time is ____ hours and the maximum time is ____ hours.

Answers

Answer:

For each test run, the minimum time is 45 mins  or 3/4  ____ hours

and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.

Step-by-step explanation:

If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is  15 mins for 1 mile

For 4 miles the time is 1 hour

For 1 miles the time will be 1/4 hour

For 3 miles the time will be 3/4 hours

and for 4.5 miles the time will be 4.5/4 hours

Now reversing

1 hour = 4miles

15 mins= 1 mile

45 mins = 3 miles

30 mins = 2 miles

67.5 min= 4.5 miles

For each test run, the minimum time is ____ hours

the minimum distance is 3 miles and time taken is 45 mins

and the maximum time is ____ hours.

The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.

What number needs to be in the blank for this system to have an infinite number of solutions?
y = -3x + 1
6x + 2y = ?

Answers

Answer:

? = 2

Step-by-step explanation:

Given:

y = -3x + 1

6x + 2y = ?

Slope-intercept form:

6x + 2y = a

y = a/2 - 3x

y = -3x + a/2

or y = -3x + 1/2a

Go back to given equations:

y = -3x + 1

y = -3x + 1/2a

y = y

-3x + 1  = -3x + 1/2a

1 = 1/2a

a = 2

The answer is: a = 2

Hope this helps! Happy holidays:)

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