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Vikentia [17]
2 years ago
7

Write and solve a system of linear equations: The larger of two numbers is 18 more than 5 times the smaller. If 3 times the larg

er number is increased by 4 times the smaller, the result is 16. Find the numbers by solving algebraically. Show your work including the equations
Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

8 and -2

Step-by-step explanation:

Let the numbers be l and s.

We have equations:

l = 5s + 18

3l + 4s = 16

Solve for s by substituting l into the second equation:

3(5s + 18) + 4s = 16

15s + 54 + 4s = 16

19s = 16 - 54

19s = -38

s = -38/19

s = -2

Find the value of l:

l = 5(-2) + 18

l = -10 + 18

l = 8

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Answer:

Step-by-step explanation:

You want to leave a 15% tip on a meal that cost $48.

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $48 meal cost is.This is always done by multiplying 0.15 by $48.00, or

0.15 x $48.00=$7.20.

So, the amount of tip you are going to leave is $7.20.

This makes the total cost of your meal (to write on your charge slip or other payment)

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Please help and thank you
tatiyna

Answer:

b_{1}=\frac{2A}{h}-b_{2}

Step-by-step explanation:

Given: A=\frac{1}{2}(b_{1} +b_{2})h

We need to completely isolate b_{1} to solve.

A=\frac{1}{2}(b_{1} +b_{2})h

A=(\frac{1}{2}b_{1} +\frac{1}{2} b_{2})h

A=\frac{1}{2}b_{1} h+\frac{1}{2}b_{2}h

-\frac{1}{2}b_{1}h+A=\frac{1}{2}b_{2}h

-\frac{1}{2}b_{1}h=-A+\frac{1}{2}b_{2}h

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Finally, multiply both sides by -2 to completely isolate b_{1}.

b_{1}=\frac{2A}{h}-b_{2}

5 0
3 years ago
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Step-by-step explanation:

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