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alexira [117]
3 years ago
7

-8x+2y=-2 4x+4y=-4 What is the solution to the system

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

The solution to system is x = 0 and y = -1

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-8x + 2y = -2 ----------- eqn 1

4x + 4y = -4 ---------- eqn 2

We have to solve the system of equations

We can solve the equations by elimination method

<em><u>Multiply eqn 2 by 2</u></em>

8x + 8y = -8 ------ eqn 3

<em><u>Add eqn 1 and eqn 3</u></em>

-8x + 2y = -2

8x + 8y = -8

( + ) ---------------

0x + 2y + 8y = -2 - 8

10y = -10

Divide both sides by 10

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-8x + 2(-1) = -2

-8x - 2 = -2

-8x = -2 + 2

x = 0

Thus the solution to system is x = 0 and y = -1

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The answer is 5:6:20 but can someone explain how plz?
Leya [2.2K]
The ratio of red to green is 5:6 which means that for every 5 red cars, there are 6 green cars

The ratio of green to blue is 3:10 telling us that for every 3 green cars, there are 10 blue cars. 

The ratio 3:10 is equivalent to 6:20 after we multiply both parts by 2. This now says that for every 6 green cars, there are 20 blue cars.

------------------------------

Let's say we had 5 red cars, 6 green cars and 20 blue cars
Based on that info, we know that the ratio of red to green is 5:6
And the ratio of green to blue is 6:20 which reduces to 3:10

We don't reduce 6:20 to 3:10 however, since that would change the green count from 6 to 3. We want to keep the green count at 6.

So because there are 5 red cars, 6 green cars, and 20 blue cars in this example, and this example points to the proper ratios mentioned earlier, this means that the final answer is 5:6:20. This ratio cannot be reduced or simplified as there are no common factors (other than 1) for 5, 6, and 20.
4 0
3 years ago
An important factor in selling a residential property is the number of people who look through the home. A sample of 17 homes re
Virty [35]

Answer:

Confidence interval for the population mean is between 15 homes and 19 homes

Step-by-step explanation:

Given that:

Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98

α = 1 - C = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01.

The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33

The margin of error (E) is:

E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2

The confidence interval = μ ± E = 17 ± 2 = (15, 19)

Confidence interval for the population mean is between 15 homes and 19 homes

5 0
3 years ago
Can someone please help me out
Paha777 [63]

Answer:

D. 20.

Step-by-step explanation:

  1. -17 - -37 = 20.

These are all of the steps, to completely, get the correct answer to this question.

Hope this helps!!!

Kyle.

8 0
3 years ago
SOMEONE PLEASE HELP ME ON THIS!!!,
STALIN [3.7K]

Answer:

U have to say the question or send a picture

8 0
3 years ago
Read 2 more answers
Rename 3/4 and 2/5 using 20 as the common denominator
Korvikt [17]

Answer:

Let’s use 2 methods to do this:

First, let’s try cross multiplying:

3/4=x/20

2/5=x/20

20 times 3 = 60

60 divided by 4 is 15, so 3/4 = 15/20

20 times 2 = 40

40 divided by 5 is 8, so 2/5 = 8/20

The next method:

What time 4 equals to 20? What times 5 equals to 20?

4 times FIVE equals to 20

For the fraction of 3/4, multiply the numerator and the denominator by five to get your answer of 15/20.

5 times FOUR equals to 20

For the fraction of 2/5, multiply the numerator and the denominator by four to get your answer of 8/20.

Hope I helped!

5 0
3 years ago
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