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Citrus2011 [14]
3 years ago
5

You can rent a ski boat for $20 plus $35 per hour. If you want to spend no more than $150, how many hours can you rent a ski boa

t? Write an inequality and solve to represent this situation.
Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

h ≤ (approx) 3.7

Step-by-step explanation:

To start, we can take our knowledge that we have to spend 20$, at minimum. Therefore, we can only allocate (150-20)=130 to our payment per hour. As we pay 35$ per hour, the amount of money relative to hours would be 35*h. Therefore, as we can allocate 130 dollars or less for our hourly payments, and our money is 35*h, we can day that 35*h(the money we spend on hourly rates) ≤ 130. Then, as 35*h ≤ 130, we can divide 35 from both sides to get h ≤ 130/35, or h ≤ (approx) 3.7

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A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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7 0
2 years ago
*will give brainlist**okay so u want to know how much diapers u will use for 3 years basically and then the details to help u ea
pochemuha

ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year

so that equals 6 then you multiply that by $30 to find the total cost of all the diapers per year so the is $180 per year and then multiply that by 3 to find the cost of all 3 years

So the answer is you will spend $540 in total

8 0
3 years ago
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0
3 years ago
Which expression would be easier to simplify if you used the associative
Fynjy0 [20]

Answer:

I believe its A.

Step-by-step explanation:

3 0
3 years ago
Solve for y. -13=4y+3
mina [271]

Answer:

y = -4

Explanation:

The initial expression is:

-13 = 4y + 3

So, we need to substract 3 from both sides of the equation:

-13 - 3 = 4y + 3 - 3

-16 = 4y

Then, dividing both sides by 4, we get:

-16/4 = 4y/4

-4 = y

Therefore, the solution of the system is y = - 4.

4 0
1 year ago
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