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2 years ago

A cylindrical trash can is 4.5 feet tall and holds 56.52 cubic feet of trash. What is the area of its base?

Mathematics

1 answer:

Sav [38]2 years ago

7 0

I believe it is 12.56 feet squared.

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Clarke has 2 1/2 gallons of juice. how many 1-pint containers can he fill? show your work and explain

Musya8 [376]

Answer:

12 cups

Step-by-step explanation:

3 0

3 years ago

Solve the following equation by factoring. <br><br> 2x2−7x+3=0

slava [35]

Answer:

x=3

Step-by-step explanation:

Step 1: Factor left side of equation.

(2x−1)(x−3)=0

Step 2: Set factors equal to 0.

x−3=0

ANSWER:

x=3

8 0

2 years ago

What is the ratio of quarters to nickels in a dollar

sleet_krkn [62]

For quarters we have:

$0.25x = 1$

Where,

x: number of quarters

Clearing x we have:

$x = \frac{1}{0.25}\\x = 4$

For nickels we have:

$0.05y = 1$

Where,

y: number of nickels

Clearing y we have:

$y = \frac{1}{0.05}\\y = 20$

Then, the ratio of quarters to nickels is:

$\frac{x}{y}= \frac{4}{20}$

Simplifying we have:

$\frac{x}{y} = \frac{1}{5}$

Answer:

The ratio of quarters to nickels in a dollar is:

$\frac{x}{y}= \frac{1}{5}$

5 0

2 years ago

Read 2 more answers

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and

STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

$P(A) = \frac{4}{52} = \frac{1}{13}$

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

$P(B|A) = \frac{12}{51}$

What is the probability of choosing a king and then, without replacement, a face card?

$P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181$

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0

2 years ago

A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in

lana [24]

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

$P(Bedroom) = 0.4$

$P(Kitchen) = 0.1$

$P(Bathroom) = 0.2$

$P(Living\ room) = 0.15$

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

$Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)$

$Probability = 1 - 0.85$

$Probability = 0.15$

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

$Probability = P(Bedroom) + P(Kitchen)$

$Probability = 0.2 + 0.1$

$Probability = 0.3$

6 0

2 years ago