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3 years ago

Find the solution of this system of equations 4x - 5y = -12 -X + 5y = 18

Mathematics

1 answer:

Natalka [10]3 years ago

7 0

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

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Answer:

The correct answer is "(18, 30) minutes".

Step-by-step explanation:

Mean,

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Standard deviation,

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The range of minutes where 99.7% of individuals completed the quiz will be:

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On substituting the values, we get

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now,

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Or,

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3 years ago

A company has two manufacturing plants with daily production levels of 5x +14 items and 3x-7 items, respectively. The first pla

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Answer:

The first plant produces 2x + 21 more items daily than the second plant.

Step-by-step explanation:

The daily production of the two plants are:

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$\text{Plant 1 - Plant 2}=5x+14-3x+7\\\\=2x+21$

Thus, the first plant produces 2x + 21 more items daily than the second plant.

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3 years ago

4 people are on the team. Members will be chosen randomly to serve as chairperson, treasurer, secretary, or timekeeper . Noor is

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Answer:

Step-by-step explanation:

Given that four people are on the team. Members will be chosen randomly to serve as chairperson, treasurer, secretary, or timekeeper

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If Noor is chair person and Qu treasurer then remaining 2 can take two posts in 2 different ways

So probability that Noor is selected to be chairperson and Qu is selected to be treasurer

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4 years ago

Root 2+ root 32+ root 64

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Hi my lil bunny!

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Let's simplify step-by-step.

$root^2 + root^{32} + root^{64}$

$= o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}$

Answer : $\boxed{o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}}$

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Have a great day/night!

❀*May*❀

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3 years ago

If cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

belka [17]

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)

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3 years ago