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pshichka [43]
3 years ago
12

Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

The solution to the system is the point at which f(x) and g(x) intersect.

From inspection, the point of intersection of the two functions is at (0, -3).  

Therefore, the solution to the system is (0, -3).

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The difference between two numbers is 25. The smaller number us 1/6th of the larger number. What is the value of the smaller num
Nataliya [291]

Answer:

5

Step-by-step explanation:

Let L be the larger number and s be the smaller one.

Then we have two equations.

(1) L – s = 25

(2)       s = L/6     Multiply both sides by 6

        6s = L         Substitute the value for L in Equation(1)

 6s – s = 25        Combine like terms

       5s = 25        Divide both sides by 5

         s = 5

The value of the smaller number is 5.

7 0
3 years ago
The diameter of a circular rug is 5.6 feet what is the circumference
Brut [27]

Answer:

10.12

Step-by-step explanation:

5.6x2

5 0
4 years ago
Help me get the answer ASAP! For question 9 I don’t want the expressions I want the answer please because I’m confused
rewona [7]

Answer:

answer is 25-(38/8) that is 20.25 pages or 81/4 pages

7 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
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