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3 years ago

4 percent of x equals 56

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

X*.04 = 56
x = 56/.04
x = 1400
(* means "times")

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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers

Vlad [161]

The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d² 11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

First-term = 12

second term = 18

Thirs term = 24

Hence the three numbers are 12, 18 and 24

Hope this helps you!!!!!! :D

5 0

2 years ago

Read 2 more answers

What is the value of the function y=2x−3 when x=−1 ?

san4es73 [151]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

$y=2x-3$

We need to find the value of the function .

As we have given that x= - 1

so, we substitute the value of x in y :

$y=2x-3\\\\y=2(-1)-3\\\\y=-2-3\\\\y=-5$

So, the value of the function is -5.

Hence, First option is correct.

7 0

3 years ago

Read 2 more answers

A store charges $280 for a coat. This price is 40 percent more than the amount it cost the store to buy the coat. At the end-of-

GuDViN [60]

280 * 0.6 = 168
168 is the amount it cost the store to buy the coat.
168 * 0.7 = 117.60
it would cost an employee 117.60 to purchase the coat at the sale

5 1

3 years ago

Quick help please!!!

yKpoI14uk [10]

Y = 33x + 132
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6 0

3 years ago

there are 15 finalist in a singing competition. the top five singers receive prizes. how many ways can the singer finish first t

Alisiya [41]

Answer:

The singers can finish first through fifth in 360360 ways.

Step-by-step explanation:

The order of the singers is important, because they are ranked by positions. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

Top five singers, from 15 finalists. So

$P_{(15,5)} = \frac{15!}{(15-5)!} = 360360$

The singers can finish first through fifth in 360360 ways.

4 0

3 years ago