MATHEMATICS HIGH SCHOOL

Evita lives 0.85 mile from her school . write this distance as a fraction in simplest form

Answers

Answer 1
Answer:

Answer:

(17)/(20)\text{ miles }

Step-by-step explanation:

When we write a terminating decimal as a fraction,

Then we follow the below steps,

Step 1 : Write the number with denominator 1,

Step 2 : multiply numerator and denominator by an exponent of 10 ( like 10, 100, 100 etc ) to eliminate the decimal,

Step 3 : simplify the fraction by dividing both numerator and denominator by the HCF of numerator and denominator,

Here, the given number,

0.85

=(0.85)/(1)

=(0.85* 100)/(100)

=(85)/(100)

=(85/ 5)/(100/ 5)  ( HCF (85, 100) = 5 )

=(17)/(20)
Answer 2
Answer: .85 is in the hundredths place so your fraction will be 85/100 then you divide it by 5 and get 17/20 as your answer. Hope this helps

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If you walked 5 miles down a trail and then walked 2 1/4 miles back, how many miles away are you from your starting point?

Answers

First lets figure out 2 and 1/4 as a decimal 
2 and 1/4 = 2.25 
So now we subtract 
5 - 2.25 = 2.75 
She is 2.75 miles away from her starting point 
:P

Answer:

uhh look itu pon ogogle derrrrr jk xdxd

Step-by-step explanation:

If 1/4 in. represents 1 ft. what distances are represented by lines of the following lengths: 2 in., 5 in., 1 1/2 in., 2 2/3 in., 4 7/8 in.?

Answers

Answer:

2 > 8

5 > 20

1.5 > 6

2 2/3 > 10.667

4 7/8 > 19.5

Step-by-step explanation:

(Use cross multiplication or algebra to solve)

Answer:

Step-by-step explanation:

Make q clear

Find each quotient.
688÷7=

Answers

okay so if your dividing long division this is how you do it first you would divide 7 into 68 since it can't divide into just 6, and 7 divides into 68, 9 times so you would put 9 on top, and 9 x 7 is 63, so 68 minus 63 is 5 then you would carry down the eight which would make the next number 58 and 7 divides into 58, 8 times, and 7 x 8 is 56, and 58 minus 56 is 2 so the 2 qoes down and the remainder is 2 but if you need multiple remainders the you need to keep on dividing so you need to put a 0 at the end of 688 and you can do this because 688 is the same as 688.0 its the same so you just keep on dividing so you bring the 0 down and that makes 20, 7 goes into 20 2 times so now you would put a .2 on top and 2 x 7 is 14 so 14 goes under the 20 and 20 minus 14 is 6 then you need more than one remainder you just keep going so you add another 0 at the end, so it should look like this 688.00 now and you drop the 0 and that makes the 6 a 60 and 7 goes into 60, 8 times so put a 8 on top  and 8 x 7 is 56 and 60 minus 56 is 4 so your answer would be 98.28  but you can keep going this is what i have gotten so far 98.285714, also this is a problem where you aren't going to get an answer where you don't have a remainder
also the numbers .285714 all keep on repeating forever and there's a mathematical sign that you put over decimals like that (that just keep on repeating themselves) but i forgot what its called i know this is long but i hope it helped you:)

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answers

Given:
304 miles on 19/2 gallons of gasoline.

304 miles ÷ 19/2 gallons = 304 miles * 2/19 gallon = 608 /19 = 32 miles per gallon.

Compute unit rate of each choices.
a) 187 miles ÷ 17/2 gallons = 187 * 2/17 = 374/17 = 22 miles per gallon
b) 357 miles ÷ 21/2 gallons = 357 * 2/21 = 714/21 = 34 miles per gallon
c) 216 miles ÷ 27/2 gallons = 216 * 2/27 = 432/27 = 16 miles per gallon
d) 209 miles ÷ 11/2 gallons = 209 * 2/11 = 418/11 = 38 miles per gallon
e) 115 miles ÷ 5/2 gallons = 115 * 2/5 = 230/5 = 46 miles per gallon

The car with the greater unit rate of miles per gallon than the recommended car is CHOICE E. 46 MILES PER GALLON

Hich expression is rational? a. 4.121221222… b.square root of 36 c. square root of 21 d.1.192744502…

Answers

Answer: The correct option is (B) square root of 36.

Step-by-step explanation:  We are given to select the correct number that is irrational.

RATIONAL NUMBER: The digits after the decimal are either terminating or repeating.

IRRATIONAL NUMBER: The digits after the decimal are non-repeating and non-terminating.

Option (A) is  4.121221222 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Option (B) is  square root of 36, which is equal to 6.

6 = 6.00.

Here, the digits after the decimal are terminating. So, the given number is rational.

Option (C) is  square root of 21.

We know √21 = 4.5825756 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Option (D) is 1.192744502 . . .

Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.

Thus, the rational number is square root of 36.

Option (b) is correct.
A rational number is any number that can be expressed as the quotient of fraction of two integers.So the answer is b.square root of 36 = √36=6 because 6 is the quotient of 6/1

The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F. If 25 adults are randomly selected, find the probability that their mean body temperature is less than 99° F?

Answers

Answer: 0.9996

Step-by-step explanation:

Given : The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F.

Sample size : n=25

Let x be the random variable that represents the body temperatures of adults.

z-score : z=(x-\mu)/((\sigma)/(√(n)))

For x= 99° F

z=(99-98.6)/((0.60)/(√(25)))\approx3.33

Now, the probability that their mean body temperature is less than 99° F will be :-

P(X<99)=P(z<3.33)=0.9995658\approx0.9996

Hence, the probability that their mean body temperature is less than 99° F  = 0.9996

Final answer:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem and calculate the Z-score. The mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25.

Explanation:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25. So, the mean of the sampling distribution would still be 98.6°F, but the standard deviation would be 0.60°F divided by the square root of 25, which is 0.12°F.

Now, we can use the Z-score formula to find the probability that the mean body temperature is less than 99°F. The Z-score is calculated by subtracting the population mean from the desired value (99) and dividing it by the standard deviation of the sampling distribution (0.12). We can then use a Z-table or calculator to find the probability associated with the Z-score.

Learn more about Probability here:

brainly.com/question/32117953

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