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2 years ago

write and solve an equation Sam's father is 3 times Sam's age the sum of their ages is 56 how old is Sam's father

1 answer:

Klio2033 [76]2 years ago

3 0

The answer would be 168 because Sam’s own age is 56 and his father was 3x older than him so u have to use 56x3=168. Babam u got urself an answer

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Name a pair of non adjacent complementary angels.

Jobisdone [24]

Answer:

Step-by-step explanation:

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3 years ago

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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

2 years ago

On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance of the scale of the map shows

fredd [130]

60 kilometers because it is 2 cm just multiply by 2

5 0

3 years ago

HELP PLEASE, NO FILES OR LINKS PLEASE

Ne4ueva [31]

Answer:

Step-by-step explanation:

I am to determine the future value of Thomas' deposit with annual compounding

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years

840 x (1.075)^5 = 1205.93

I am to determine the future value of Sherill's deposit in 5 years using simple interest

The amount that would be in the account = amount deposited + interest earned on deposit

interest earned on deposit can be determined by determining the simple interest

Simple interest = amount deposited x time x interest rate

1250 x 0.069 x 5 = 431.25

Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25

Sheril's money is higher by - 1681.25 - 1205.93 = 475.32

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2 years ago

What is the area of a pentagon with a radius of 3 m? Give the answer to the nearest tenth.

blsea [12.9K]

The area is 21.4 meters

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2 years ago