All categories

3 years ago

5/3 × 20 must show work

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

$5/3*20$

$5/3*20/1$

$100/3$

33.3333

Step-by-step explanation:

You might be interested in

Please help.........

Alex

Answer:

- $\frac{61}{11}$

Step-by-step explanation:

$\frac{x}{y}$ = $\frac{5}{6}$ ( cross- multiply )

6x = 5y ( divide both sides by 6 )

x = $\frac{5}{6}$ y

Then

$\frac{5x+6y}{5x-6y}$ ← substitute x = $\frac{5}{6}$ y into the expression

= $\frac{\frac{25}{6}y+6y }{\frac{25}{6}y-6y }$

= $\frac{\frac{61}{6}y }{-\frac{11}{6}y }$

= $\frac{\frac{61}{6} }{-\frac{11}{6} }$

= $\frac{61}{6}$ × - $\frac{6}{11}$

= - $\frac{61}{11}$

3 0

3 years ago

Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?

Basile [38]

$\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \ \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.$

6 0

3 years ago

Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.

andre [41]

Answer:

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

P = 8/20 = 0.4 = 40%

4 0

3 years ago

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh

inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0

3 years ago

The minibus runs at 16 miles to a gallon of diesel. Diesel costs £1.43 per litre. There are 4.55 litres to a gallon.

melomori [17]

Answer: it will cost £78.0672 to travel the 192 miles to Brighton.

Step-by-step explanation:

The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be

4.55 × 1.43 = £6.5056

This means that the cost of running 16 miles is £6.5056

Therefore, the amount that it will cost to travel the 192 miles to Brighton would be

(192 × 6.5056)/16 = £78.0672

7 0

3 years ago