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3 years ago

Simplify the expression 3(x + 9) by distributing. Which expression is equivalent?

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

3(x+9)

3 multiply both x and 9

3x+27

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Which of the following statement is correct

bagirrra123 [75]

Answer:

the 3rd one

Step-by-step explanation:

mark me brainliest if it was helpful

5 0

3 years ago

The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a

Roman55 [17]

Answer:

$64\ \text{sq. units}$

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

$A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}$

The area of the rhombus is $64\ \text{sq. units}$

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

$A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}$

5 0

3 years ago

Lixins monthly income consists of a basic salary of $500 and a commission of 4percent on her sales for the month.If her income i

Harman [31]

Answer:

Lixins monthly sales = $18,000

Step-by-step explanation:

Let x be the total sales.

Given:

Basic salary = $500

Commission on sales = 4% = 0.04

Monthly income = $1220

We need to find her sales for the month.

Solution:

First we write the equation for given situation:

$Total\ sales = Basic\ Salary + 0.04(Total\ sales)$

$S = 500 + 0.04x$

$1200=500+0.04x$

$0.04x=1220-500$

$0.04x=720$

$x = \frac{720}{0.04}$

$x = \$18,000$

Therefore, Lixins monthly sales are $18,000.

8 0

3 years ago

A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence

Sindrei [870]

ANSWER

$a_{55}=161$

EXPLANATION

The general term for the sequence is

$a_n=-1+3(n-1)$

To find the 55th term, we have to substitute
$n = 55$
in to the general term and simplify.

This implies that,

$a_{55}=-1+3(55-1)$

$a_{55}=-1+3(54)$

$a_{55}=-1+162$

$a_{55}=161$

Therefore the 55th term is 161.

8 0

3 years ago

Travis has decided to budget his spending money. He can spend no more

Oxana [17]

$x + 4.3x \leq 125.75$ is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75

<em><u>Thus, the inequality representing the situation is:</u></em>

$\text{ Amount spent on movies + Amount spent on video games } \leq 125.75$

$x + 4.3x \leq 125.75$

Thus the required inequality is found

6 0

3 years ago