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Vikentia [17]
3 years ago
8

Initially a tank has 60 gallons of water. A brine solution with 1 pound of salt per gallon enters the (continuously stirred and

well mixed) tank at a rate of 2 gallons per minute. Solution leaves the tank at a rate of 3 gallons per minute. Find an equation that gives the amount of salt in the tank at time t for all times beginning at the initial time up until the tank is empty.
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0
There is 16 ounces in 1 pound and 60 x 16 = 960 then do 2 divided by 960 which is 240 and then divide it by 3 = 160 so i think it's 160 but I'm in middle school anyway I hope this helps.
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There are 33 of them altogether and pay £311 in total. How many kids are in the family? Adults pay £15 and kids pay £7
Marrrta [24]

Answer:

Step-by-step explanation

  1. Let x be the number of adults and y the number of kids

We can then write this two equations :

          x+y= 33

          15x+7y= 311

  • let's solve the two eaquations

to do that we should combine them both in a way that help us get rid of one of the variables.

             Let's multiply the first equation by -7 to get rid of y by adding it to thr second equation

             -7x-7y= -231

        now add both equations .

              15x+7y-7x-7y=311-231

    we get :  8x = 80

as you notice y is gone and we get a classic easy equation to solve

                x= 80/8

                   = 10

so the number of adults is 10

let's go back to the first equation ( x+y= 33) and replace x with 10

                10+y= 33

                  y= 33-10

                     =23

let's check using the second equation :

            (10*15)+(23*7) = 311

that is true

so :

  •  the number of adults is 10
  • the number of kids is 23
4 0
3 years ago
There are 154 players on 11 teams . How many players are on one team
jarptica [38.1K]

Answer:

there are 14 on a single team

Step-by-step explanation:

154÷11=14

Or you can do this

11 • 14

add 11 14 times you get 154

7 0
3 years ago
Solve for the value of r. (8r+6)° (9r-7)​
lukranit [14]

Answer:

r = 13

Step-by-step explanation:

these angles are vertical and are congruent

8r + 6 = 9r - 7

6 = r - 7

13 = r

8 0
3 years ago
Which of the following equations is equivalent to x - y = 5?
Masja [62]

Answer:

6x-6y=30

Step-by-step explanation:

<u><em>The complete options are</em></u>

a) x - 2y = 30

b) 4x - 3y = 30

c) 3x - 4y = 30

d) 6x - 6y = 30

The given equation is

x-y=5

<u>Verify option d</u>

we have

6x-6y=30

Divide by 6 both sides

(6x-6y)/6=30/6

\frac{6x}{6}-\frac{6y}{6}=\frac{30}{6}

x-y=5

therefore

x-y=5  and 6x-6y=30 are equivalent

3 0
3 years ago
Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the
Eduardwww [97]

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

4 0
3 years ago
Read 2 more answers
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