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Oksanka [162]
3 years ago
5

Whats the solution to the given system of equations? -5x+8y=-36 5x+7y=6

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

x=4, y=-2

Step-by-step explanation:

-5x+8y=-36

5x+7y=6

eqn 1+ eqn 2 gives

15y=-30

divide both sides by 15

y=-2, put in eqn 2

5x+7(-2)=6

5x=20 divide both sides by 5

x=4

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1 + 1 = 2????? and<br>2 + 2 = 4??????
Vilka [71]

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3 years ago
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Joyce paid $60.50 for an item at the store that was 45 percent off the original price. What was the original price?
Lynna [10]

Answer:

27.23

Step-by-step explanation:

60.50 divided by .45

4 0
3 years ago
Will the square of a negative number always be positive? Explain why.
qwelly [4]

the square of a negative number always be positive

eg: -2² = -2×-2 = (-×- = +) +4

the cube of a negative number always be positive

eg: -2³ = -2×-2×-2 = (-×-×- = +) -8

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3 years ago
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what is the rate of inflation if a savings account has a nominal interest rate of 3% and a real interest rate of 1%
IgorLugansk [536]

Answer:

the rate of inflation is 2%.

Step-by-step explanation:

given:

Nominal interest rate =3%

Real interest rate=1%

To Find:

Rate of inflation=?

Solution:

Nominal interest rate:

Nominal interest rate refers to the interest rate before taking inflation into account.

Inflation rate:

The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.

Real interest rate:

A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.

Real interest rate ≈ nominal interest rate − inflation rate.

This can be re written as

inflation rate= Real interest rate - nominal interest rate

Substituting the values,

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7 0
3 years ago
The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 24
Licemer1 [7]

Answer:

390 ft²

Step-by-step explanation:

The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft² What is the area of the larger trapezoid?

We solve the above question using proportion

(Longer base/Area of trapezoid) smaller trapezoid = (Longer base/Area of trapezoid) bigger trapezoid

Let the the Area of the bigger trapezoid = x

Hence,

= 8ft/240ft = 13ft/x ft

Cross Multiply

8ft × x = 240ft × 13ft

x = 240ft² × 12 ft/8 ft

x = 390 ft²

3 0
3 years ago
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