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crimeas [40]
3 years ago
10

- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x = 9 6.36 16 7

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

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You want to buy a $219,000 home. You plan to pay 10% as a down payment, and take out a 30 year fixed loan for the rest.
vovangra [49]

Answer:

see explanation

Step-by-step explanation:

I assume you need to find the 10% and also the amount per year maybe?

so, you will pay 21,900 dollars upfront

219000-21900=197100

219000*1/10=21900, which is ten percent.

197100=30x, x being money paid per year in this case

divide both sides by 30

6570=x

You will pay 6,570 each year for this house. You can continue to divide to find monthly payments. or quarterly payments. Divide by 12 to find monthly payment and  divide by 4 to find quarterly

5 0
3 years ago
PLEASE HELP ASAP I am kinda stuck on this because my teacher didn’t teach me this
wariber [46]

Answer:

the first option

a = -2

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Step-by-step explanation:

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5 0
3 years ago
How do you show your work for this problem?
laiz [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A pet store sells goldfish and hermit crabs,
Elis [28]

Answer:

Cost = \$28

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

7g + 3h = 26

The second statement, we have:

4g + 5h = 28

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

7g + 3h = 26 --- (1)

4g + 5h = 28 --- (2)

Make g the subject in (2)

4g + 5h = 28

4g = 28 - 5h

Divide both sides by 4

g = \frac{1}{4}(28 - 5h)

Substitute \frac{1}{4}(28 - 5h) for g in (1)

7g + 3h = 26

7(\frac{1}{4}(28 - 5h)) + 3h = 26

\frac{7}{4}(28 - 5h) + 3h = 26

Multiply through by 4

4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4

7(28 - 5h) + 4*3h = 26*4

Open bracket

196 - 35h + 12h = 104

196 -23h = 104

Collect Like Terms

-23h = 104-196

-23h = -92

Make h the subject

h = \frac{-92}{-23}

h = \frac{92}{23}

h = 4

Substitute 4 for h in g = \frac{1}{4}(28 - 5h)

g = \frac{1}{4}(28 - 5*4)

g = \frac{1}{4}(28 - 20)

g = \frac{1}{4}(8)

g = 2

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

Cost = 6g + 4h

Cost = 6*\$2 + 4*\$4

Cost = \$12 + \$16

Cost = \$28

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