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Angelina_Jolie [31]
4 years ago
6

Sharif opened a bank account that initially had $0 in it. He then deposited $150. Later that week, he withdrew $35. Write each v

alue as an integer and model each integer on a number line.
Mathematics
1 answer:
vaieri [72.5K]4 years ago
6 0
Draw a number line. Label 0 on it because he started out there. Then, label 150 for the $150 he deposited. After that subtract 35, written as -35, and label 115 on the number line (150 - 35 = 115). 

Here's how you will write all integers:
0
150
-35


If you don't understand/need more help with more problems, HMU.
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Which of the following is the correct graph of the solution to the inequality -13> -5x+2> -28?
anyanavicka [17]

Answer:

first option

Step-by-step explanation:

solving the inequality

- 13 > - 5x + 2 > - 28 ( subtract 2 from each interval )

- 15 > - 5x > - 30

divide each interval by - 5 , reversing the symbols as a result of dividing by a negative quantity.

3 < x < 6

since the symbol is < then end values will be an open circle with the values between shaded blue, that is the first graph

4 0
2 years ago
Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line
iogann1982 [59]

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.

7 0
3 years ago
The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter
Lunna [17]

Answer:

z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007

p_v = P(z>2.007) = 0.0224

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

\bar X = 35.6 represent the sampel mean for the age of customers

\sigma = 5 represent the population standard deviation

n = 280 represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 35

Alternative hypothesis \mu >35

The statistic for this case is given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing the data given we got:

z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007

We can calculate the p value since we are conducting a right tailed test like this:

p_v = P(z>2.007) = 0.0224

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

5 0
3 years ago
Solve the system of equations.<br> - 52 + 2y = 9<br> y = 70
ludmilkaskok [199]
Agreed, I had to take a test on it and y did equal 70
7 0
4 years ago
Read 2 more answers
Please help with all of these 5 points per question
liberstina [14]

Answer:

1. C = $100 = .25(m)

2. C = $150

3. 800 = m

Step-by-step explanation:

1. C = $100 (flat fee rate) + .25m

2. c = $100 + .25(200 miles)

                           ↓

            c = $100 + 50

                           ↓

                       c = 150

3. 300 = 100 + .25(m)

  -100      -100                    (subtract on both sides)

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

200 = .25(m)

-------------------   (divide by .25 to get m by itself)

    .25

Therefore being 800 = m

5 0
4 years ago
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