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3 years ago

Apply the distributive property and the greatest common factor to write an equivalent expression.

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

Answer:

Equivalent expression of 60x−24 in distributive property is

12 × (5x - 2) = 12 ×5x - 12 × 2 .

Step-by-step explanation:

Distributive property

Let us assume that the a, b, c are any number .

than a (b+c) = a.b + a.c

This property is called distributive property .

As given the expression

= 60x - 24

It is written as in the distributive property form .

12 × (5x - 2) = 12 ×5x - 12 × 2

Therefore the equivalent expression of 60x−24 in distributive property is

12 × (5x - 2) = 12 ×5x - 12 × 2 .

myrzilka [38]3 years ago

3 0

You can take out a 12 from each factor as they can both be divided by 12. That leaves you with 12(5x-2) if you applied the distribution property, you'd end up with the same answer you started with.

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Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos

maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: $A = P(1 + rt)$

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3)) <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225 <= new balance

The new balance of an account is $5225.

4 0

3 years ago

How many times does 8 go into 153

butalik [34]

8 goes into 153 19 times.

4 0

3 years ago

Read 2 more answers

The diameter of a circle endpoints are A(-1, 5) and B(4,-3). Use the midpoint formula to find the coordinates of the center of c

mina [271]

Answer:

centre = ( $\frac{3}{2}$ , 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [ $\frac{1}{2}$ (- 1 + 4), $\frac{1}{2}$ (5 - 3) ] = ( $\frac{3}{2}$ , 1 )

6 0

3 years ago

What is the solution to the equation? 1/7g=3/14

Crazy boy [7]

Answer:

g = 21/4

Decimal form:

g = 5.25

Mixed Number:

5 1/4

6 0

2 years ago