MATHEMATICS MIDDLE SCHOOL

Olivia is 4 feet 10 inches tall. She compared her height with her younger sister, Susan, and found that Susan is 15 inches shorter than she is.What is Olivia's height, in inches?

______________

What is Susan's height, in centimeters?

1 inch=2.54 centimeters

Answers

Answer 1
Answer: A foot (or feet) is 12 inches.This means Olivia is four lots of 12 inches tall plus another 10 inches.Four lots of 12 is 48(4x12=48).48+10=58.
However Susan is 15 inches shorter than Olivia so Susan is basically Olivia's height minus 15 inches. Olivia's height, as we know, is 58 inches.
58 inches minus 15 is 43, therefore Susan is 43 inches tall. This means Susan's height equals 43 lots of 1 inch. Because 1 inch equals 2.54 centimeters, Susan's height equals 43 lots of 2.54 centimeters. To work this out without a calculator you could get rid of the decimal place and do 43x254=10922. Then, because the number that had the decimal point in had 2 digits after it(2 numbers) you add the decimal place back in 2 places from the right of your answer. In this case, it gives you 109.22. Therefore:
~Olivia's height: 58 inches
~Susan's height: 109.22 centimeters

I hope that helps you and I understand that it's a really long answer but I wasn't sure which bit you couldn't understand. :)

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Factor the polynomial below 20x^2-45

Answers

20x^2-45=5(4x^2-9)=5[(2x)^2-3^2]=5(2x-3)(2x+3)\n\n--------------------------\n\nuse:a^2-b^2=(a-b)(a+b)
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7b+11>9b-13 need to find b>?

Answers

7b+11 > 9b-13\ \ \ \ /-11\n\n7b+11-11 > 9b-13-11\n\n7b > 9b-24\ \ \ \ /-9b\n\n7b-9b > 9b-9b-24\n\n-2b > -24\ \ \ \ /:(-2) < 0\ then\

during a long race a professional cyclist was able to sustain a speed of 20 miles per hour. How far could this cyclist travel at that speed for 2 hours, 3 hours, and 3.5 hours?

Answers

You would just be multiplying, 20m by 2hr, 3hr, and 3.5hr. So 40, 60, and 70. 

PLEASE HELPDebra saved only dimes and nickels in her bank when she last counted the coins she noticed there were twice as many dimes as nickels she had $4.75 in her bank how many dimes did she have in her bank?

A. 38
B. 24
C. 12
D. 19

Answers

Answer:

A. 38

Step-by-step explanation:

Let d = number of dimes.

Let n = number of nickels.

First equation:

There are twice as many dimes as nickels. The number of dimes is 2 times the number of nickels. The first equation is:

d = 2n

Second equation:

The value of a dime is $0.10. The value of a nickel is $0.05. The value of d number of dimes is 0.1d. The value of n number of nickels is 0.05n. The total value of d dimes and n nickels is 0.1d + 0.05n. We are told the total value of her dimes and nickels is $4.75. That gives us the second equation:

0.1d + 0.05n = 4.75

We have two equations and two unknowns, so we can answer this question by solving a system of two equations in two unknowns.

d = 2n

0.1d + 0.05n = 4.75

We will use the substitution method.

Since d = 2n, replace d in the second equation with 2n.

0.1(2n) + 0.05n = 4.75

0.2n + 0.05n = 4.75

0.25n = 4.75

n = 4.75/0.25

n = 19

Now that we know the number of nickels, we use the equation d = 2n to find the number of dimes.

d = 2n

d = 2 * 19

d = 38

Answer: Debra had 38 dimes.

Answer:

38

Step-by-step explanation:

What is bigger 4,000mg or 5g

Answers

The quantity 4,000 mg is bigger the quantity 5 g or 5, 000 g.

To compare 4,000 mg and 5 g, to convert the units to the same measurement.

1 gram (g) is = 1,000 milligrams (mg).

Therefore, 5 g is equal to 5,000 mg.

Now, Compare 4000 mg and 5000 mg as

= 4,000 mg < 5,000 mg

Therefore, 5 g (or 5,000 mg) is bigger than 4,000 mg.

Learn more about Unit Conversion here:

brainly.com/question/28600662

#SPJ6
5g is bigger then 4,000mg

True or False 5 is a factor of 30

Answers

Answer:

True

Step-by-step explanation:

5 goes into 30 six times

Answer: its true 5 goes in 30 six times

5x6=30

Step-by-step explanation:
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