All categories

3 years ago

Solve these two equations using the Addition Method (also known as the elimination method).

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

(-2, 3)

Step-by-step explanation:

5/2(3/4x + 1/3y = -1/2)

1/2x - 5/6y = -7/2

15/8x + 5/6y = -5/4

19/8x = -19/4

x = -2

1/2(-2) - 5/6y = -7/2

-1 -5/6y = -7/2

-5/6y = -5/2

y = 3

You might be interested in

Writing a two column proof (edge)

frutty [35]

It is d Ik Bc Ik don’t ask why just know it’s d

8 0

2 years ago

1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?

WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0

3 years ago

Identify the tranfermatoin plz hury

Arisa [49]

Answer:

Rotation

Step-by-step explanation:

If that is an option

6 0

3 years ago

Tricias mother let her play outside for 15 minutes. When she went out side, she played with her dog for 5 minutes. Then she rode

Slav-nsk [51]

Answer:

6 minutes

Step-by-step explanation:

15-5=10

10-4=<u>6</u>

6 0

3 years ago

20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at

Allisa [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, $\hat{p}=32\5=0.32$

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

$z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=$

So, Interval would be

$\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)$

Hence, Option 'c' is correct.

6 0

3 years ago