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almond37 [142]
4 years ago
8

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!In two or more complete sentences explain how you would set up and solve the following eq

uation: Peter opened his account with $910 and withdrew $40 per week. Marla opened her account with $470 and withdrew $20 weekly. In how many weeks will their accounts be equal?
please give me step by step explanations if possible
Mathematics
2 answers:
olchik [2.2K]4 years ago
4 0

Peter's account is 910-40x, and Marla's account is 470-2x. This is a system, so you must find the number that makes both equations end up with the same number. Basically trial and error. Here is what I did:

Let's try the number 10. 910-400=510 and 470-20=450. I need a higher number.

Let's try 13 next. 910-520=390 and 470-26=444. Now the number has to be lower.

Let's try 12. 910-480=430 and 470-24=446. Close, and a little lower.

11.5 is too low, and 11.7 is too high.  11.6 has Equation 1 at 446 and Equation 2 at 446.8. Very close!

It is somewhere around 11.6. I hope that this can give you a start in figuring it out, because I don't believe in giving the complete answer, because then you do not learn anything from it.

posledela4 years ago
3 0

Answer:

Peter will have $910 - $40 * x on his account, where x is the number of the weeks. Marla will have $470 - $20 * x.

910 - 40 x = 470 - 20 x

910 - 470 = 40 x - 20 x

440 = 20 x

x = 440 : 20

x = 22

910 - 40 * 22 = 910 - 880 = $30

470 - 20 * 22 = 470 - 440 = $30

Answer: Their accounts will be equal in 22 weeks ( both of them will have $30 ).

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From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.

The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:

3.63 t = 1.055 t^2  ==>  1.055 t^2 - 3.63 t = 0

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Step-by-step explanation:

Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?

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2 years ago
Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
What is the rate of change of the function whose graph is a line passing through (3, 5) and (−1, 5)?
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9514 1404 393

Answer:

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The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.

8 0
3 years ago
Need help on this problem
Sindrei [870]

Answer:

Part A ) Equation represents a Linear Function.

Part B )

Slope = \frac{9}{5}\\y-intercept\\F=32

Step-by-step explanation:

Temperature in degrees ( C ) and Fahrenheit ( F ) relation is given as

F=\frac{9}{5}\times C + 32

Part A:

Linear function:

Linear functions are those whose graph is a straight line.

A linear function has the following form. y = f(x) = a + bx.

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

Now,

∴ F=\frac{9}{5}\times C + 32  is a linear function as C independent variable and capital F as dependent variable.

Part B:

y = mx + c\\

represent a straight line having

slope = m

y - intercept = c

So, on comparing the given degrees and Fahrenheit relation equation F=\frac{9}{5}\times C + 32    we will get

Slope = \frac{9}{5}\\y-intercept\\F=32

3 0
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