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2 years ago

The ordered pair (1, -2) is a solution to the system of linear equations.

Mathematics

1 answer:

vesna_86 [32]2 years ago

3 0

Answer:

False

Step-by-step explanation:

2x + y = 0

Try (1, -2)

2(1) + (-2) = 0

2 + (-2) = 0

0 = 0

The solution works on the first equation.

-x + 2y = 5

-(1) + 2(-2) = 5

-1 - 4 = 5

-5 = 5

The solution does not work in the second equation.

Answer: False

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3 years ago

The probability of getting heads is 1/2. Predict how many times you would get heads if you flipped the dime 200 times.

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3 years ago

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Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. Ho

castortr0y [4]

Answer:

$552.04

Step-by-step explanation:

Lauren, use the compound amount formula: A = P(1 + r)^n.

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3 years ago

to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac

aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

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Substituting y = 2 into x = 11 - y, it becomes

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3 years ago

If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume

Pachacha [2.7K]

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

$V = \frac{l*h*w}{3}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

$l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}$

The modified volume will be:

$V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.

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2 years ago