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mash [69]
3 years ago
11

Simplify the expression. 7C3 A. 5,040 B. 210 C. 1 D. 35

Mathematics
2 answers:
vladimir2022 [97]3 years ago
8 0

Answer:

35

Step-by-step explanation:

Simplify the expression. 7C3

the formula for nCr is \frac{n!}{r!(n-r)!}

n=7 and r= 3. Plug in 7 for n and 3 for r in the formula

\frac{7!}{3!(7-3)!}

\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}

Cancel out 4*3*2*1 at the top and bottom

\frac{7*6*5*4*3*2*1}{(3*2*1)}

Cancel out 6 at the top and bottom

35

kherson [118]3 years ago
4 0
7 choose 3 is going to be 35
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Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen h
erastovalidia [21]

Answer:

$352

Step-by-step explanation:

x = total money she had

spent 25% of x = 88

solve for x

x = 88/0.25

x = $352

4 0
3 years ago
If g(x)=x^2-5x+8, find g(8)
ycow [4]

Answer:

Option A) 32

Step-by-step explanation:

Given the quadratic function, g(x) = x²- 5x + 8:

In order to evaluate and determine the output value given g(8), substitute the input value into the function:

g(x) = x²- 5x + 8

g(8) = (8)²- 5(8) + 8

g(8) = 64 - 40 + 8

g(8) = 32

Therefore, the correct answer is Option A) 32.

5 0
3 years ago
The world's smallest plane has a length of 12 feet and the world's longest plane has a length of 302 feet. Write an absolute val
iren [92.7K]

An absolute value equation which could represent the length of a plane is : 12 feets ≥ x ≤ 302 feets

Smallest length of a plane = 12 feets

Longest length of a plane = 302 feets

This means that the minimum length of a plane cannot be below 12 feets and the maximum length of a plane cannot be above 302 feets

Using x as the length of a plane :

To represent as an absolute value ; we use inequality :

Minimum length ≥ x ≤ maximum length

12 feets ≥ x ≤ 302 feets .

Learn more : brainly.com/question/18109354

8 0
3 years ago
In Union County, Florida, the 1990 census listed the population at 10,252. The 2000 census listed the population as 13,442. What
lora16 [44]

Answer:

31.1% increase

Step-by-step explanation:

% increase= 100 X (final-initial)/initial

5 0
3 years ago
Rob is twice Joshua's age. Nick is 5 years older than Joshua. The sum of all their ages is 45. How old is Nick?
MatroZZZ [7]

Given

Rob is twice Joshua's age

Nick is 5 years older than Joshua.

sum of all their ages is 45.

Find the age of nick.

To proof

As given

Rob is twice Joshua's age

let  Joshua's age = x

than Rob age = 2x

Nick is 5 years older than Joshua.

Nick age = 5 + x

sum of all their ages is 45

than the equation becomes

Joshua's age + Rob age + Nick age = 45

put the value

x + 2x + 5 + x = 45

4x = 40

x = 10

Joshua's age = 10 year

than Rob age = 20 year

Nick age = 5 + 10

                = 15year

Hence proved


6 0
3 years ago
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