A recipe calls for 2.5 cups of sugar . you have already put in 0.75 cups. how many more cups of sugar does the recipe call for

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps

spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

Solution:

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

The above sentence can be written mathematically as:

$\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}$

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

$\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}$

Cancelling the common terms in numerator and denominator,

$\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}$

Multiplying terms in numerator and denominator,

$\rightarrow \frac{-12}{-40}$

Negative sign in numerator and denominator cancels each other

$\rightarrow \frac{-12}{-40} = \frac{12}{40}$

Reducing to lowest terms we get,

$\rightarrow \frac{12}{40} = \frac{3}{10}$

In decimal form we get,

$\rightarrow \frac{3}{10} = 0.3$

Thus solution to given expression is 0.3

8 0

3 years ago

Cheryl can travel 21.6 miles on one gallon of gas. how far can cheryl travel on 6.2 gallons of gas?

boyakko [2]

21.6 miles per gallon

Multiplied by 6.2 gallons

21.6 * 6.2 = 133.92

Cheryl can travel 133.92 (or about 134) miles on 6.2 gal. of gas.

Hope that helped!

6 0

3 years ago

What is the value of x in the equation 2.5(6x-4) = 10+4(1.5+0.5x)?

Phoenix [80]

Answer:

Step-by-step explanation:

As the equation is given in the question as follows.

2.5(6x-4)=10+4(1.5+0.5x)

open the bracket

2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x

15x - 10 = 10 + 6 + 2x

15x - 2x = 16 + 10

13x = 26

x = 2

6 0

3 years ago

There are 1,000 cans of cat food produced daily at a factory. in the meeting last week, the

BaLLatris [955]

Using the binomial distribution, it is found that the true statement related to the number of cans of cat food the company expects to be dented is given by:

B. The factory can expect to have an average of 50 cans dented in a day.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that there are 1000 cans, each with a probability of 1/20 of being dented, hence:

n = 1000, p = 1/20 = 0.05.

The expected value is then given by:

E(X) = np = 1000 x 0.05 = 50.

Researching the problem on the internet, the correct option is given by:

B. The factory can expect to have an average of 50 cans dented in a day.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0

2 years ago

What is the value of x in the equation 3(2x + 4) = -6? 0-3 O 012 19

yulyashka [42]

Answer:

x = -3

Step by step explaination-

3(2(-3) + 4) = -6

7 0

3 years ago