All categories

3 years ago

Converting mixed numbers to impoper fractions

2 answers:

5 0

To convert a mixed number to an improper, first, multiply the denominator of the fraction and the whole number of the fraction. Then, add the numerator to the product of the denominator and the whole number.
For example, 3 1/4. Multiply the 3 and 4 to get 12. Then add the one and you get 13. Lastly, take your sum (13 in this case) and put it over the original denominator (4) Your answer is 13/4. Hope that helps :)

Anna007 [38]3 years ago

4 0

Ok so say u have 3 2/4. 3 is ur whole number, 2 is ur numerator, and 4 is ur denominator. First:
2
3 —
4
U multiply 3 and 4 and get 12, now keep 12 in ur head, there is no need to write it down, unless u want too...now u add 12+2 (2 is the numerator) which is 14. So ur whole number and numerator are now gone but ur denominator stays, it’s still 4, and now that ur old numerator is gone u replace it with 14 so u get 14/4. And there is ur improper fraction

You might be interested in

3. The length of a living room is 12 feet and its width is 10.5 feet. The length of the room is being

Liono4ka [1.6K]

Since you're adding x feet to the length which is 12 feet:

New area: (12+x)10.5

5 0

3 years ago

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

$z= \frac{X -\mu}{\sigma}$

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

7 0

3 years ago

PLEASE HELP!!!!!!! A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a

Marianna [84]

Answer:

The answer to your question is car 1 = 30 gal and car 1 = 20 gal

Step-by-step explanation:

car 1 = a

car 2 = b

Efficiency of car 1 = 35 mi/gal

Efficiency for car 2 = 20 mi/gal

Total distance = 1450

Total gas consumption = 50 gal

Equations

35a + 20b = 1450 ------- (I)

a + b = 50 ------- (II)

Solve by elimination

Multiply equation II by -35

35a + 20b = 1450

-35a - 35b = -1750

Simplify

0 - 15b = -300

Solve for b

b = -300/-15

Result

b = 20

Substitute b in equation II to find a

a + 20 = 50

Solve for a

a = 50 -20

Result

a = 30

4 0

3 years ago

Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add

Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0

3 years ago

Fractions, Decimals, and Percents

KatRina [158]

Answer:

Step-by-step explanation:

13.84%,0.84

14.10,12,12,14,15,17,20.Median is 14.Mode is 12.

15.Mean so add 18+19+20=57.57/3 =19.

8 0

3 years ago