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wariber [46]
3 years ago
13

Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you nee

d to buy?
Which statement best explains why your solution is reasonable?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer: 7

Step-by-step explanation:

Number of cases = total bottles ÷ bottles per case.

Number of cases = 150 ÷ 24.

Number of cases = 6.25

Because the store doesnt sell a quarter of a case so you'll have to buy seven.

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Find an equation for the nth term of the arithmetic sequence.
Murrr4er [49]

Answer:

I think it is C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
Novosadov [1.4K]

Answer:

A(t)=240-220e^{-\frac{t}{40}}

Step-by-step explanation:

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.

  • Volume of the tank = 240 liters
  • Initial Amount of Salt in the tank, A(0)=20 grams

Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min

R_{in}=(concentration of salt in inflow)(input rate of fluid)

R_{in}=(1\frac{gram}{liter})( 6\frac{Liter}{min})=6\frac{gram}{min}

R_{out}=(concentration of salt in outflow)(output rate of fluid)

R_{out}=(\frac{A(t)}{240})( 6\frac{Liter}{min})\\R_{out}=\frac{A}{40}

Rate of change of the amount of salt in the tank:

\dfrac{dA}{dt}=R_{in}-R_{out}

\dfrac{dA}{dt}=6-\dfrac{A}{40}

We then solve the resulting differential equation by separation of variables.

\dfrac{dA}{dt}+\dfrac{A}{40}=6\\$The integrating factor: e^{\int \frac{1}{40}dt} =e^{\frac{t}{40}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{40}}+\dfrac{A}{40}e^{\frac{t}{40}}=6e^{\frac{t}{40}}\\(Ae^{\frac{t}{40}})'=6e^{\frac{t}{40}}

Taking the integral of both sides

\int(Ae^{\frac{t}{40}})'=\int 6e^{\frac{t}{40}} dt\\Ae^{\frac{t}{40}}=6*40e^{\frac{t}{40}}+C, $(C a constant of integration)\\Ae^{\frac{t}{40}}=240e^{\frac{t}{40}}+C\\$Divide all through by e^{\frac{t}{40}}\\A(t)=240+Ce^{-\frac{t}{40}}

Recall that when t=0, A(t)=20 (our initial condition)

20=240+Ce^{-\frac{0}{40}}\\20-240=C\\C=-220\\$Therefore, the number A(t) of grams of salt in the tank at time t\\A(t)=240-220e^{-\frac{t}{40}}

3 0
3 years ago
Factor completely 2x2 − 50.
Ede4ka [16]

Answer:

(B) 2(x+5)(x−5)

Explanation:

Factor 2x²−50

2(x+5)(x−5)

3 0
3 years ago
Read 2 more answers
You damage your car and it will cost $2,700 to repair. You have a $500 deductible. How much will the insurance company pay? A.$5
artcher [175]

Answer:

After finding the money we were short with, we find that Option-b, that is, $2200 is the correct option.

Step-by-step explanation:

Given that the cost to repair the damaged car is $2700. We have $500.

Insurance company is a company that gives the payment of someone's valuable items when they are lost or get damaged. For example, home insurance, car insurance, life insurance and much more.

Here we can see that we are short with $2700 - $500 = $2200.

So, to complete the payment, insurance company will pay $2200.

Clearly, the correct option is Option-b.

For more explanation, refer the following link:

brainly.com/question/33585

#SPJ10

7 0
2 years ago
Find the measure of x.
Ratling [72]
<h3>Answer:  B.  x = 6</h3>

==========================================================

Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

x = 6

7 0
2 years ago
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