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AnnyKZ [126]
3 years ago
11

Using distributive property create an equivalent expression to 40+4x

Mathematics
1 answer:
evablogger [386]3 years ago
4 0
Hi there!

To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:

Since both 40 and 4 is divisible by 4,

40 / 4 = 10
4 / 4 = 1

We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis. 

4(10 + x)
would be your answer. 

Hope this helps!
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In the last 6 years the population of Manchester, England, has grown at a rate of 0.8% per year to 530,300. If this rate continu
Rzqust [24]

Given parameters:

Current population  = 530,300 people

Growth rate  = 0.8% per year

Unknown

Population in 15 more years  = ?

To solve this problem, we  must compound the increase per year.

This implies that we treat the problem like that of a compound interest.

Since we know that population increases by 0.8%,

                          it is similar to 1 + \frac{0.8}{100}  = 1.008 increase

Now the population in 15years will be;

                530300 x (1.008)¹⁵  = 597626 people

So, the population after 15yrs is 597626 people

8 0
3 years ago
What are some good hair dyes? that won’t damage my hair (comment too)
Mashutka [201]
Artic fox is pretty good!! It also smells really good :) I definitely recommend it
7 0
3 years ago
If 9 is p present of 17 then p is a number between
Pepsi [2]

Answer:

40% and 60%

╰(*°▽°*)╯

Step-by-step explanation:

60% of 17 is 10.2 making 40% and 60% the closest choice to 9

So, the answer would be 40% and 60%

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4 0
3 years ago
Read 2 more answers
4. (07.06)
timofeeve [1]

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

       = 2x² + 10x - 4x - 20

       = 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

  • 2x² + 10x + 20
  • 2x² + 6x + 20
  • 2x² + 6x − 20
  • 2x² − 4x − 20

The image of the rectangle is given below.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

3 0
2 years ago
!! AP CALCULUS AB !!<br> find the limit of [(secx*sinx) + (cscx*cosx)]/(3secx) as x approaches 3pi/2
uysha [10]

f(x)= \frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}}

\frac{\frac{\sin{x}}{\cos{x}}+\frac{\cos{x}}{\sin{x}}}{3\sec{x}} \implies \\ \frac{\sin^2{x}+\cos^2{x}}{\sin{x}\cos{x}}\frac{\cos{x}}{3}\implies \\\frac{1}{\sin{x}\cos{x}}*\frac{\cos{x}}{3}\implies \\ \frac{1}{3\sin{x}}

So,

\lim_{x \rightarrow \frac{3\pi}{2}}{f(x)=f(\frac{3\pi}{2})=\frac{1}{3\sin{\frac{3\pi}{2}}}=-\frac{1}{3}

6 0
3 years ago
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