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3 years ago

What is the solution to the system: 9x+3y=24 2y+4x=8

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

Answer:

x = 4, y = -4

Step-by-step explanation:

9x + 3y = 24

3x + y = 8 divide both sides by 3

y = 8 - 3x subtract 3x from both sides

2y + 4x = 8

2(8 - 3x) + 4x = 8 replace y with 8 - 3x

16 - 6x + 4x = 8 distributive property

-6x + 4x = 8 - 16 subtract 16 from both sides

-2x = -8 divide both sides by -2

x = 4

y = 8 - 3x

y = 8 - 3(4) replace x with 4

y = 8 - 12

y = -4

NeX [460]3 years ago

8 0

Answer:

The solution is x = 4 and y = -4

Step-by-step explanation:

(9x + 3y = 24)-2

(4x + 2y = 8)3

-18x - 6y = -48

12x + 6y = 24

-6x = -24

x = 4

Plug this into one of the equations

2y+4(4)=8

2y + 16 = 8

- 16 - 16

2y = -8

y = -4

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drek231 [11]

The number of months it would take the bunny farm to triple in size is 5.3 months.

<h3>When would the bunny farm be triple its size?</h3>

The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:

Number of years = (In FV / PV) / r

FV = future population of the bunnies
PV = present population of the bunnies
r = rate of growth
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IN(3) / 0.2075 = 5.3 months

To learn more about tripling time, please check: brainly.com/question/21841217

8 0

2 years ago

Express 0.0057 in scientific notation

andrew-mc [135]

Answer:

$5.7 \times {10}^{ - 3}$

Step-by-step explanation:

0.0057

first number

then the rest

equal

5.7

There's <u>three</u> zeros <u>behind</u> the number 5 which mean it will be -3

$\times {10}^{ - 3}$

final answer

$5.7 \times {10}^{ - 3}$

another example and it will be clear

0.0000403

first number

then the rest

equal

4.03

There's <u>five</u> zeros <u>behind</u> the number 4 which mean it will be -5

$\times {10}^{ - 5}$

final answer

$4.03 \times {10}^{ - 5}$

3 0

3 years ago

Rewrite in simplest terms: -(2c + 8) + 8c

garik1379 [7]

Answer:

$6c-8$

Step-by-step explanation:

We have:

$-(2c+8)+8c=$

$-2c-8+8c=\\$

$6c - 8$

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3 years ago

Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?

expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with $\alpha$ .

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of $\alpha$ by using arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

In this case you can identify that:

$opposite=260\\adjacent=270$

Therefore, substuting values into $\alpha= arctan(\frac{opposite}{adjacent})$ , you get that the angle of depression is:

$\alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°$

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3 years ago

In the past month, Amy rented 7 video games and 4 DVDs. The rental price for each video game was $3.30. The rental price for eac

Lera25 [3.4K]

Answer:

$39.90

Step-by-step explanation:

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after that you just add the two total costs together, which is $23.10+$16.80=$39.90

8 0

3 years ago