All categories

2 years ago

Solve the following equation using the distributive property.

Mathematics

1 answer:

svetoff [14.1K]2 years ago

5 0

Step-by-step explanation:

$41.4 = 3.6(x + 4.5)$

$=> 41.4 = 3.6x + 3.6(4.5)$

$=> 41.4 = 3.6x + 16.2$

$=> 3.6x = 41.4 - 16.2 = 25.2$

$=> x = \frac{25.2}{3.6} = 7$

You might be interested in

Calculate the sum of the infinite series

andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

The given series is

$20-10+5-...$

The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

$S_ \infty = \frac{20}{1 + \frac{1}{2} }$

We simplify the denominator to get,

$S_ \infty = \frac{20}{ \frac{3}{2} }$

This will finally give us,

$S_ \infty =20 \times \frac{2}{3}$

$S_ \infty = \frac{40}{3}$

The correct answer is A.

5 0

3 years ago

Read 2 more answers

For the function y = 3x, if the input (x) is -2, what is the output (y) ?

Dmitry [639]

Answer:

-6

Step-by-step explanation:

2*-3=-6

rule of thumb: a double negative equals a positive in multiplication or division

5 0

1 year ago

What is the area? Plz show me step by step. :)

ANEK [815]

Answer:

124

Step-by-step explanation:

A triangle is BH/2

6.2 is the height and 5 is the base

one triangle is 15.5 so multiply it by 8 since its an octagon

7 0

2 years ago

Combine the like terms to create an equivalent expression 5k+(-2k)-(-1)

Ad libitum [116K]

Answer:

3k+1

Step-by-step explanation:

5k+-2k= 3k

3k--1 = 3k+1

hope this helps!!!!!!!!!!

3 0

2 years ago

Help me solve this please.

poizon [28]

6, 7, 8, and 9. just plug the X into the equation

4 0

2 years ago