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2 years ago

A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?

Mathematics

1 answer:

melamori03 [73]2 years ago

6 0

The answer is $29.3 because you multiply 2.93 times the ten gallons of gas.

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What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show your work.

Radda [10]

Answer:

The volume of the cone is 1,102.7 feet³ (cubic)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Radius = 9 feet

Height = 13 feet

2. What is the exact volume of the cone?

We will use the following formula to calculate the volume of the cone:

Volume of the cone = π * Radius² * Height/3

Volume of the cone = 3.1416 * 9² * 13/3

Volume of the cone = 3.1416 * 81 * 13/3

Volume of the cone = 3.1416 *9² * 13/3

Volume of the cone = 1,102.7 feet³ (cubic)

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3 years ago

Evaluate 3C1. a)3 b)1 c)2 d)6

murzikaleks [220]

Answer: Option a) 3

Step-by-step explanation:

The formula for calculating combinations is as follows

$nCr = \frac{n!}{r!(n-r)!}$

Where "n" is the amount of items in a set and you can choose "r" from them

3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

$n = 3\\\\r = 1$

So :

$3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3$

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3 years ago

What is the value of 5n-3 when n=5?

joja [24]

Answer:

Step-by-step explanation:

We are given the expression:—

$\displaystyle \large{5n-3}$

When n = 5, substitute/change n to 5:—

$\displaystyle \large{5(5)-3}$

Evaluate:—

$\displaystyle \large{25-3=\boxed{22}}$

__________________________________________________________

Summary

Substitution

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression $\displaystyle \large{2y-1}$ and we want to find the value when y = 4, simply replace y-term to 4.

$\displaystyle \large{2(4)-1=8-1=\boxed{7}}$

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

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2 years ago

For an annual membership fee of $500, Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wi

mote1985 [20]

He would have to play 11 games. and 3 games plus a membership in order to equal the same amount of 605

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3 years ago

Factor completely p^2-13p+42

ira [324]

Factoring the expression would look like this :
(p - 7) (p - 6)

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3 years ago