MATHEMATICS MIDDLE SCHOOL

Which word best describes the degree of overlap between the two data sets?A.
high

B.
moderate

C.
low

D.
none
Which word best describes the degree of overlap between the - 1

Answers

Answer 1
Answer: I think the answer is B-moderate.

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Kara used the formula P=2(l+w) to find the perimeter of the photograph. She tells Jim that the length is 6 cm, and the perimeter is 22 cm. How can Jim find the width of the photo?

Answers

Given\n Perimeter (P) = 22cm \n Length (l) = 6cm \n\n We\ know, \n P=2(l+w)\n 22=2(6+w)\n 2(6+w)=22\n\n 6+w = (22)/(2)\n\n w=11-6 \n\n \boxed {w=5cm }

Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30 hours he made $180. How much was his raise (to the nearest cent)?

Answers

Answer:

$0.21

Step-by-step explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: 38x=220

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: 30y=180.

Let us solve for x and y.

x=(220)/(38)

x=5.7894736842105263

Therefore, before raise Mike earned $5.7894 per hour.

y=(180)/(30)

y=6

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

\text{Amount of raise}=6-5.7894

\text{Amount of raise}=0.2106\approx 0.21

Therefore, amount of Mike's raise to the nearest cent is $0.21.

1.825 rounded to the nearest hundredth

Answers

the answer is 1.83
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3

Two cyclist leaves town 200 mi apart at the same time and travel toward each other. One travels at 10mi/h slower than the other. The they meet in 5 hours, what is the rate of each cyclist

Answers

Let x be the rate of speed of slower cyclist

and x+10 = rate of speed of faster cyclist

Distance = Speed * Time

5x + 5(x+10) = 200

5x + 5x + 50 = 200

10x = 200-50

10x = 150

x = 15

Rate of speed of slower cyclist: 15 mph

Rate of speed of faster cyclist = 15+10 => 25 mph

Final answer:

In this problem, the speed of the faster cyclist is 25 mi/h and the speed of the slower cyclist is 15 mi/h. We determine this by setting up and solving an algebraic equation considering the total distance and time they traveled.

Explanation:

This problem is a typical example of relativerate and distance problems in algebra. First, define the speed of the faster cyclist as x m/h. Then, the speed of the slower cyclist is x-10 m/h. They travel towards each other, so their rates add up. That's why the equation becomes x+(x-10) = 200/5. We get this equation because the total distance they traveled is 200 miles (meeting in the middle), and they traveled for 5 hours.

Solving the equation x+(x-10) = 40 gives 2x-10 = 40, then 2x = 50, and finally x = 25. So, the faster cyclist is moving at 25 mi/h, and the slower cyclist is moving at 15 mi/h (25-10).

Learn more about Relative Rates here:

brainly.com/question/31432741

#SPJ2

Round each time to the nearest whole second. Then estimate how many seconds bailey won the race by.

Answers

The whole second is the first number to the left of the decimal (_.), so : 35.78=36 because 7>5. 39.51=40 because 5=5. 40-36=4. Bailey won the race by about 4 seconds. Hoped I helped!
Bailey won by 4 seconds because if you round her score it would be 36 and Elenas score is 40.

Write 987% in decimal form

Answers

The decimal would be 9.87

it would be 9.87 good luck
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