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Andru [333]
3 years ago
9

3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Step-by-step explanation:

3x+8<4x−12

Move all terms containing x

to the left side of the inequality.

Tap for more steps...

−x+8<−12

Move all terms not containing x

−x<−20

x>20

Interval Notation:(20,∞)

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CDs R Us sells books on tape and on Cd. Tapes sell for $10 and Cds sell for $15.
jeyben [28]

Answer:

10 tapes and 6 Cds

Step-by-step explanation:

As tapes sell for $10 and CD sell for $15, let t be the number of tapes bought and c the number of cds, we can write an equation for the expenditure in the form:

10c + 16t = expenditure

We also n=know she spent 220, so:

10c + 16t = 220

As she bought 16 items, the sum of CD and tapes must be equal to 16. So:

c + t = 16

If we take this last equation and subtract t in both sides:

c = 16 - t

We got the number of CD depending on the number of tapes. We can replace this in the first equation to get t:

10 [16 - t] + 16t = 220

160 - 10 t +16t = 220

160 + 6t = 220

If we subtract 160 in both sides

6t = 220 - 160

6t = 60

Dividing both by 6:

t = 60/6 = 10

So, she purchased 10 tapes. As in total she purchased 16 items she must have purchased 6 cds.

Solution: She purchased 10 tapes and 6 CDs

4 0
4 years ago
Alex has $4,500 in his college savings account. When he starts college, he withdraws $750 from his account every month. Based on
MrRissso [65]
Easy 4,500 - 750x = y x is the number of months which is the independent variable (yes this is science in math) y which is the dependent variable which is the amount he has after x amount of months Ex: 2= x 4500 - 750 x 2 = 4500 - 1500 = $3,000 left in his account
6 0
3 years ago
Please help with this its confusing somehow :(​
RoseWind [281]

Answer:

the answer is 7 because 7 *7 is 49

4 0
3 years ago
Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?
mart [117]

Answer:

Jenny cycles the grand distance of 29 and one third of a mile.

Step-by-step explanation:

I want to answer this using fractions and without multiplying by an awkward recurring decimal.

Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes

To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.

22 x (4/3) = 88/3

Jenny will travel 88/3 miles in 2 hours.

Not happy with top heavy fractions?

Let's round up 88/3 to 90/3 by adding 2/3.

90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.

Jenny cycles the grand distance of 29 and one third of a mile.

I think that is the correct answer.

6 0
3 years ago
In order to better decide how to market a new line of clothing, mary is researching the demographics of the customers of a certa
Tom [10]

Number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.

<h3>What is expected value?</h3>

The expected value is the long term average of the data or the mean of the data.

In order to better decide how to market a new line of clothing, Mary is researching the demographics of the customers of a certain clothing store.

She counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students.

Her collected data is in the table below.

  • Week                1          2         3            4
  • Customers    2,848    3,141    3,861    3,911
  • Students       2,033    1,937   2,076    1,721

Mary predicts that the store will see 4,238 customers next week.

From using the long term mean value calculator for the provided data, the predicted value of the next week we get as 2392.

Hence, the number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.

Learn more about the expected value here;

brainly.com/question/15858152

6 0
3 years ago
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