. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)

[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]

[tex] \\ [/tex]

[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

First, write 7 as a fraction:

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

Then, identify the value of a, b, c, and d:

[tex] \\ [/tex]

We can finally find our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]

[tex] \\ [/tex]

Let's simplify our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the multiplication of two fractions here:

↦https://brainly.com/question/25774102

Answer:

What is a partner

Step-by-step explanation:

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

Answer:

Hello! The answer is $37.24.

Step-by-step explanation:

By simple calculations, 38% of $97.99 equates to $37.2362. However, since this is a money-based question, we have to round the last two numbers up - which basically equals $37.24!

Answer:

Ryan had $37.24

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

-3xy^3 (7xy^2z-4y-12)

Step-by-step explanation:

Simply factor out "-3xy^3." GL!

Answer:

so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:

Answer:

76 inches

Step-by-step explanation:

6x12 = 72

72+4 = 76

Answer:

It would be 76 inches!

Step-by-step explanation:

Six times 12 = 72

72+4 = 76

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

the answer is x =  6 2/3

ok done. Thank to me :>

These triangles are congruent by the AAS Congruence Theorem.

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

Learn more about Congruence Theorem, click;

https://brainly.com/question/19258025

#SPJ7

The figure is not given, so the question has been solved for the attached one.

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

Answer:

Step-by-step explanation:

500

Answer:

3.715

Step-by-step explanation:

7.802/2.1 = 3.715

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]

Multiply both sides by 20

[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]

[tex]24 = 4x - 4[/tex]

Add both sides 4

[tex]24 + 4 = 4x - 4 + 4[/tex]

[tex]28 = 4x[/tex]

Switch sides

[tex]4x = 28[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

There you go...

Have a great day ❤

7x - 3 > 18

Add 3 to both sides

7x > 21

Divide both sides by 7:

X > 3

Since x has to be greater than 3 the smallest whole number that would work is 4

Answer: 4

Answer:

see below

Step-by-step explanation:

7x – 3 > 18

Add 3 to each side

7x – 3+3 > 18+3

7x> 21

Divide by 7

7x/7 >21/7

x > 3

The smallest integer value of x is 4

Step-by-step explanation:

1 not function

2 function

3 not function

4 function

ihope it helps

Answer: 15

Step-by-step explanation:

So it is pretty much 60/4 which is easy 15 here is the work

1 5

4 6 0

- 4

2 0

- 2 0

0

Answer:

x ≥ $15

Step-by-step explanation:

At least means ≥

4x ≥ $60     Replace the inequality sign with an = sign and solve the equation.

4x = $60

x  = $60 ÷ 4

x = $15                 Now put the inequality sign back into the problem

 x ≥ $15

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

Answer:

he will have 3 pieces

Step-by-step explanation:

3/8×8

=3

Answer:

-12оэээжжоояффпвнтоее

y = 32, x = 43

To figure this out, you have to use what you know to find all sorts of measures.

Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.

Answer:

1 : 200

Step-by-step explanation:

To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.

Step 1: Convert.

=> 5 millimeters : 1 meter

=> 5 millimeters : 1000 millimeters

Step 2: Simplify.

=> 5 millimeters : 1000 millimeters

=> 1 millimeter : 200 millimeters

Key Note: Answer in ratio form is always unitless.

=> 1 : 200

So therefore, 1 : 200 is our ratio. Hoped this helped.

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!

Answer:

$108 less

Step-by-step explanation:

2 + 3 + 5 = 10 parts

each part is 360/10 = $36

Hanna has 5 - 2 = 3 parts less than Kelly

3 * 36 = 108

$108 less

Answer:

D

Step-by-step explanation:

Non of the other answers have negatives in them.  And you would solve with multipliation.

It's D. Look at the one above me.