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iren [92.7K]
4 years ago
14

Use elimination to find the value of x in the solution for the system of equations. 2x+2y=10,2x-3y=5

Mathematics
1 answer:
jeyben [28]4 years ago
5 0
Elimination

2x+2y=10
2x-3y=5
multiply first equatn by -1

-2x-2y=-10
add to second equation

2x-3y=5
<u>-2x-2y=-10  +
</u>0x-5y=-5
-5y=-5
divide both sides by 5
-y=-1
muitply b-1
y=1

subsitue
2x+2y=10
2x+2(1)=10
2x+2=10
subtract 2
2x=8
divide  2

x=4


x=4
y=1
solution in (x,y) form is
(4,1)
<u />
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Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

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M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

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3 years ago
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3 years ago
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Anettt [7]
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3 0
3 years ago
The table shows the number of cell phone towers a
Olin [163]

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    {}   Towers

1) 5.25            {}                          273

2) 6.25            {}                         325

3) 7.25            {}                         377

4) 9.25            {}                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

6 0
3 years ago
Describe how you would factor x^2 - 10x + 24. Be specific.
balu736 [363]

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What two number multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

3 0
3 years ago
Read 2 more answers
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