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enot [183]
4 years ago
15

What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Mathematics
1 answer:
alisha [4.7K]4 years ago
3 0

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

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Liam, Sarah and Emily shared some money in the ratio 2:3:5. Liam got £30 less than Sarah.
blondinia [14]

The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.

Emily got 5 shares or £30 × 5 = £150.

8 0
3 years ago
In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did
Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

<u>Let </u>

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

<u>So,</u>

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
3 years ago
Is -40 the solution to -12=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7B8%7D" id="TexFormula1" title="\frac{u}{8}" alt="\f
valentinak56 [21]
Answer: Yes -40 is the answer

Explanation:

-12 = u/8 - 7
8(-12)/8 = u/8 - 8(7)/8
-96/8 = u/8 - 56/8
-96 = u - 56
-u = -56 + 96
-u = 40
u = -40
4 0
3 years ago
A _____ number can be written as a ratio of two integers in the form A/B where B ≠ 0.
Rina8888 [55]
Looks like the very definition for a rational number
4 0
4 years ago
1. What is the value of f(3) and what does it represent in the context of this example?
Marysya12 [62]

Answer/step-by-step explanation:

The graph of f(x) above is said to be the quantity of liquid a cylinder holds when poured into it at a given time, x.

This means the quantity of the liquid poured in the cylinder is a function of time.

f(x) values (quantity of liquid) are plotted on the y-axis, while x values (time) are plotted on the x-axis.

f(3) is the value at the y-axis when x = 3. Thus, when x = 3, y = 6.

Therefore, the value of f(3) = 6

f(3) = 6, represents the quantity of liquid poured in the cylinder at 3 seconds.

3 0
4 years ago
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