All categories

3 years ago

-2/3 times (-2 1/4)times 3/4 Show work pls

1 answer:

mihalych1998 [28]3 years ago

3 0

(-2/3)*(-2 1/4)*(3/4) Convert the mixed fraction to improper fraction.
(-2/3)*(-9/4)*(3/4) Then you multiply the numerators with numerators and denominators with denominators

(-2*-9*3) negative times negative is positive, so the negative sign is gone
-------------
(3*4*4*) The lines (-----) is the line of the fraction

54/48 This is the product of this multiplication, now you need to simplify
by reducing the numbers of the fraction

9/8 And that would be the answer

You might be interested in

Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year

Ann [662]

Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years

4 0

3 years ago

Chelsea has four hours of free time on Saturday. She would like to spend no more than 2/3 of an hour on each activity. How many

Galina-37 [17]

Namely, how many times 2/3 goes into 4, well, let's just divide them then

$\bf \cfrac{\stackrel{\textit{total hours}}{4}}{\stackrel{\textit{hours per activity}}{\frac{2}{3}}}\implies \cfrac{\quad \frac{4}{1}\quad }{\frac{2}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{2}\implies \cfrac{12}{2}\implies 6$

4 0

3 years ago

What is 1,112 rounded to the nearest thousand?

DENIUS [597]

Answer: 1000

because you round down

7 0

3 years ago

On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each

mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group = x

so number of senior citizens = x × 1/16 = x/16

Percentage of senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x) × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of infants =(number of infants ÷ total number of people visited the group) × 100 = (3x/16 ÷ x) × 100 = 300/16 = 18.75%

number of children = 3/8 × x = 3x/8

Percentage of children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%

number of adults = 3/8 × x = 3x/8

Percentage of adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

4 0

3 years ago

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification a

kotegsom [21]

The <em>correct answer</em> is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

5 0

3 years ago