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Stells [14]
3 years ago
13

Solve, using the substitution method.

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
Y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)

From (1), y = 2x + 8 . . . (3)

Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0

Therefore, there are infinite number of solutions.
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There are 12 inches (in). in 1 foot (ft). which expression can be used to find the number of inches in 2.5 feet?
Ludmilka [50]
Given:
12 inches in 1 foot
number of inches in 2.5 feet

2.5 feet * 12 inches/1foot = 2.5 * 12 inches = 30 inches

1 foot + 1 foot + 0.5 foot = 2.5 feet
12 inches + 12 inches + 6 inches = 30 inches

12 inches : 1 foot = x : 2.5 feet
12 inches * 2.5 feet = x*1foot
30 inches * feet = x * foot
30 inches = x
3 0
3 years ago
Randomly selected students participated in an experiment to test their ability to determine when one minute​ (or sixty​ seconds)
zalisa [80]

Answer: (57.41,\ 62.19)

Step-by-step explanation:

Given : Sample size : n=40

Sample mean : \overline{x}=59.8\text{ seconds}

Standard deviation : \sigma =9.2\text{ seconds}

Significance level : \alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)

Hence, a 90​% confidence interval estimate of the population mean of all students = (57.41,\ 62.19)

6 0
3 years ago
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car l
neonofarm [45]

The amount of extra interest that will be paid is $24300

Since Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%, the interest that she will pay will be:

= ($45000 × 6 × 15) / 100

= $40500

On the other hand, if she hasn't applied for bankruptcy, the amount that she will pay will be:

= ($45000 × 6 × 6) / 100

= $16200

Therefore, the difference between the interest will be:

= $40500 - $16200

= $24300

The correct option is $24300. The given options are incorrect.

Read related link on:

brainly.com/question/25052422

8 0
2 years ago
Read 2 more answers
100 is the regular price if you buy one and get the other half price. Explain how this different from getting a 50% discount?
Vinvika [58]
100 = x + x/2

3x/2 = 100

x = 200/3

if there was 50% discount:

buying 1 would be $33.33

buying 2 would be $66.67
4 0
3 years ago
What value of A in this equation y=(9A-7)x would give a line with the slope -5?
Rainbow [258]

0, I put y=(0-7)x into a graphing calculator

5 0
3 years ago
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