MATHEMATICS MIDDLE SCHOOL

8 friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. Write a system of equations to describe the situation. Let x represent the number of shirts and y represent the number of caps.Graph the system. What is the solution and what does it represent?

Answers

Answer 1
Answer:

For this case, the first thing we must do is define variables.

We have then:

y: number of caps

x: number of shirts

We now write the system of equations that represents the problem:

The graphical solution of the system of equations (see attached image) is:

Therefore, we have 4 shirts and 4 caps.

Answer:

See attached image for the graphic

number of caps = 4

number of shirts = 4
Answer 2
Answer: We can write this system of equations:

6x + 3y = 36
x + y = 8

If you graph this, it gives you a solution of (4, 4)

This tells us that the friends must buy 4 shirts and 4 caps in order to spend exactly $36 and to have 8 items total.

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Kieras dance class starts at 4:30 pm and ends at 6:15 pm. How long is get dance class?

Answers

If Kiera's dance class starts at 4:30 p.m. and ends at 6:15 p.m. then how long is it? Lets find out. The way I solved it would be to count by hours. 4:30 to 5:30 is one hour. 5:30 to 6:30 is 2 hours. But 6:30 is too much time. So now you take away the required amount to make it 6:15. You have to take away 15 minutes. So 2 hours minus 15 equals 1 hour and 45 minutes. 
Kiera's dance class was 1 hour and 45 minutes long. 

Answer: 1 (1)/(2) hour

Estimate the value as a product of a single digit and a power of 10. the one with () are exponets .... 906,000,000,000 A.9×10 (10)  B.9×10 (11)  C.9.06×10 (11) D. 9.06×10 (12)

Answers

The answer would be A. If it wasn't limited to a one digit number multiplied by a power of 10 then the answer would be 9.06*10^10, but the limitation requires a single digit leaving only the answer 9*10^10 because 10^10= 100,000,000,000. That multiplied by 9 would give you 900,000,000,000.

How much simple interest will be due on a loan of $7000 at a 3.75% annual interest rate for one year? A.
$7262.50

B.
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C.
$262.50

D.
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Answers

C.   turn 3.75 into a decimal, then multiply it by 7000. Then you get your answer which is 262.50.dont forget to move the decimal:)

Strong winds called the prevailing westerlies blow from west to east in a belt from 40 to 60 degrees latitude in both the northern and Southern Hemisphere. Write an inequality to represent the latitude of the prevailing westerlies

Answers

Answer:

The inequality is:

40 ≤ x ≤ 60

Explanation:

Assume that the latitude of the prevailing westerlies is x

We are given that the latitude is between 40 degrees and 60 degrees

This means that the least value of x is 40 and the most value for x is 60

i.e. :

x must be more than or equal to 40

x must be less than or equal to 60

Combining the two conditions:

40 ≤ x ≤ 60

Hope this helps :)

Explain how you would convert 4m to mm

Answers

There are 1,000 millimeters in a meter so it would be 4 x 1,000= 4,000mm
4 X 1,000 = 4,000mm because there are 1,000 millimeter in a meter

Which is greater .836 or .83

Answers

just do like this
.836
.83
.83=.830
which one has bigger numbers?
.836 or
.830

the answer is .836
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