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2 years ago

Consider the system of equations below. What could be the first step in solving by elimination?

Mathematics

2 answers:

Mrrafil [7]2 years ago

6 0

<h2>Answer:</h2>

The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.

MArishka [77]2 years ago

5 0

Answer:

Subtracting the 2 equations

Step-by-step explanation:

3x + 5y = 16

3x + 2y = 10

Subtract it;

3y = 6

Divide both sides b 3;

y = 2

Substitute y;

3x + 5y = 16

3x + 5(2) = 16

3x + 10 = 16

Subtract 10 from both sides;

3x = 6

Divide both sides by 3;

x = 2

(x, y) = (2, 2)

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What is the probability of drawing a 9 of heart or an ace from a standard deck of cards? A. 7/52 B. 5/52 C. 5/26 D. 8/13 What is

Strike441 [17]

A for the first because there are 4 aces and 1 nine of hearts. that makes it 5 cards of the 52 in a deck
d for the second because there are two cards: the queen of heart and and ace of diamond out of the 52

hope this helped :)

5 0

3 years ago

Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

7 0

2 years ago

Solve for X pleas help

nydimaria [60]

Answer:

10.5 I think

Step-by-step explanation:

(1/2) *12 is 6

(1/2)*21 is 10.5

3 0

3 years ago

An animal shelter provides a bowl with 1.45 liters of water for 3 cats.

Kay [80]

Answer:

n animal shelter provides a bowl with 1.45 liters of water for 3 cats.

About how much water will be left after the cats drink their average daily amount of water?

Canada Goose 0.24

Cat 0.15

Mink 0.10

Opossum 0.30

Bald Eagle 0.16

Step-by-step explanation:

4 0

3 years ago

If Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total

Lelu [443]

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

8 0

2 years ago