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2 years ago

For a test! please help asap

Mathematics

1 answer:

Delvig [45]2 years ago

7 0

Answer:

8/9

Step-by-step explanation:

$3 {}^{x} - 3 {}^{x - 2}$

$3 {}^{x} - \frac{3 {}^{x} }{ {3}^{2} }$

$3 {}^{x} (1 - \frac{1}{9} )$

$3 {}^{x} ( \frac{8}{9} )$

A=8/9

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Three-fifths of a number increased by ten

Sav [38]

Answer: $\frac{3}{5} x+10$

Step-by-step explanation:

three-fifths of a number means multiply three-fifths by a variable $\frac{3}{5} x$

increased by 10 means addition +10

together it is $\frac{3}{5}x +10$

4 0

3 years ago

In a race between 18 people, how many ways can the top 5 finishers be arranged?

snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters. The formula for us is

₁₈P₅ = $\frac{18!}{(18-5)!}$ which simplifies to

₁₈P₅ = $\frac{18*17*16*15*14*13!}{13!}$

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

8 0

3 years ago

Kim’s soccer team played in 33 games. They won 1 more than 15 times of the number of games they lost. Which system of equations

VARVARA [1.3K]

W = 1+15*l
(The number of games they won= 1+15* the number of games they lost.)

5 0

3 years ago

Which function describes the arithmetic sequence shown?

Lynna [10]

f(x)= -2x-3

Step-by-step explanation:

Step 1:

Let the sequence given here is -5, -7, -9, -11, -13 ......

Here the first term (a₁) of sequence is -5

And the common difference between the numbers in the sequence is

d= (-7-(-5)) = -7+5 = -2

Let the number of terms be x

Step 2;

To find the sequence function basic arithmetic sequence formula is

aₙ = a₁ + d( x-1)

Applying the values we get

f(X) = -5 + ((-2)(X-1))

on simplification

f(X) = -5 + (-2X+2)

f(X)= -5+2-2X

f(X)= -3-2X

8 0

3 years ago

One fifth of Bill's age is 4 years. Find Bill's age.

dimulka [17.4K]

The answer is A). 5*4=20 one fifth is 4.

7 0

3 years ago