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PIT_PIT [208]
2 years ago
13

Alexa says that the pattern with the expression 5n+3 will not contain the term 82. Is she right? Explain your answer.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

correct

Step-by-step explanation:

She is correct.

For any integer, n, 5n is a multiple of 5.

5n + 3 is 3 more than a multiple of 5.

Start with 82. Subtract 3. Now you have 79.

79 is not a multiple of 5, so 5n + 3 will not contain the term 82.

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The sum of 6 consecutive integers is 270. What is the second number in the sequence?
Rina8888 [55]
N+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)=270
We use these terms to represent the first six consecutive integers in the sequence
Now we group like terms:
6n+15=270
Minus 15 from both sides of the equation
6n=255
n=42.5 which is not an integer
Is this a joke question?
Besides that, the 2nd number will be 43.5
3 0
3 years ago
A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .
astra-53 [7]

Answer:

4x^6+12x^5+8x^4

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4

Hope this helps!

6 0
3 years ago
Find each percent decrease of 80 to 64
Anastasy [175]
80-64=24
24 is 30% of 80 so a decrease of 30%
4 0
3 years ago
In Exercises 1-16, solve the inequality. Graph the solution<br> 1. 3y ≤ -9
murzikaleks [220]

By solving the inequality we get y\leq -3

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

3y\leq -9

Dividing above equation by 3 we get,

\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3

Graph of y\leq -3 is

Therefore by solving the inequality we get y\leq -3

To learn more about graphing the inequality from the given link

brainly.com/question/24372553

#SPJ1

8 0
1 year ago
2x - 4(x + 1) = 3x<br> 2x - 4x – 4 = 3x<br> -2x - 4 = 3x<br> ? = ?
kobusy [5.1K]

Answer:

-2x-3x=4

-5x=4

x= -4/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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