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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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CaHeK987 [17]

The rate of change of the the given table is: 3/4soda per dollar.

<h3>What is the Rate of Change?</h3>

Rate of change = change in total cost / change in number of sodas.

Using (24, 18) and (28, 21), we would have:

Rate of change = (21 - 18)/(28 - 24)

Rate of change = 3/4

Therefore, the rate of change is 3/4soda per dollar.

Learn more about the rate of change on:

brainly.com/question/8728504

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4 0
2 years ago
Given cube inscribed in sphere with edges √243 cm. Find the volume of sphere
g100num [7]

Answer:

10,300.77 cm³

Step-by-step explanation:

Radius = ½(diameter)

Diagonal:

sqrt[243 + 243]

sqrt(486)

Diameter

sqrt(486 + 243)

27

Radius: 27/2

Volume of sphere:

4/3 × pi × r³

4/3 × 3.14 × (27/2)³

10300.77 cm³

3 0
3 years ago
Two friends share 1/2 of a pineapple equally.What fraction of a whole pineapple does each friend get?
Katyanochek1 [597]
They each get 1/4.

Because since they have 1/2 they will further divide that piece in 2 so each of them will get 1/4 of the whole.

Hope this helps :)
3 0
3 years ago
Read 2 more answers
Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year,
Aleonysh [2.5K]

Answer:

5850

Step-by-step explanation:

300+25x

3 0
2 years ago
Please explain your answer
Irina18 [472]
\text{Distance = } \sqrt{(5 + 8)^2+ (-3 + 3)^2 }=   \sqrt{13^2} = 13

Answer: 13 units
6 0
2 years ago
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