Find 2 consecutive odd integers whose sum is 116

Answers

Answer 1

Answer: To find the answer using an equation, use x for the first integer, and use x+2 as the second integer. (we add 2 to x because odd numbers are 2 away from each other. You would have to add 2 to an odd number to get the next consecutive odd number).
"sum" means to add, so add the two integers together:
x + x+2 = 116
Combine like terms:
2x + 2 = 116
Subtract 2:
2x = 114
Divide by 2:
x = 57 (first integer)
x+2 = 57+2 = 59 (second integer)
Check: 57+59=116

Answer 2

Answer: if you add the numbers 57 and 59 together you get 116

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Which of the following represents, "The difference between ten and a number is the sum of eight and a number"? 10 - N(8 + N)
8 - N = 10 + N
10 - N = 8 + N

Answers

Answer:

The sentence represents 10 - N = 8 + N

C is correct.

Step-by-step explanation:

Given: "The difference between ten and a number is the sum of eight and a number"

We are given an statement and need to write in expression.

Let the number be N

First we take half sentence.

"The difference between ten and a number"

Expression 1 ⇒ 10 - N

Next Half sentence.

"The sum of eight and a number"

Expression 2 ⇒ 8 + N

Expression 1 is equal to expression 2

Therefore, The equation is

10 - N = 8 + N

Hence, The sentence represents 10 - N = 8 + N

The difference between ten and a number is the sum of eight and a number is represented by:

10 - N = 8 + N

Explain how you would go about graphing this equation? What would be your first step and how would you go from there? Y=4x+6 *

Answers

Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?9,920 mm3

10,010 mm3

7,680 mm3

10,240 mm3

Answers

Answer:

The answer to your question is 10240 mm³

Step-by-step explanation:

Data

length of the base = 32 mm

length of the height = 34 mm

Formula

Volume of a pyramid = 1/3 x Area of the base x length of the height

Process

1.- Calculate the area of the base

Area = side x side

= 32 x 32

= 1024 mm²

2.- Find the height of the pyramid using the Pythagorean theorem

height² = 34² - 16²

height² = 1156 - 256

height² = 900

height = 30

3.- Calculate the volume of the pyramid

Volume = 1/3Area x height

= 1/3(1024 x 30)

= (30720)/3 mm³

= 10240 mm³

Answer:

The answer is 5,940mm^3

Step-by-step explanation:

I got is right on my test

Find the sum 1/5+3/8

Answers

The answer to your question is 23/40.

1/5 + 3/8

= 1/5 * 1 + 3/8 * 1

= 1/5 * 8/8 + 3/8 * 5/5

= 8/40 + 15/40

= 23/40

Muriel says she has written a system of two linear equationsat has an infinite number of solutions One of the equationsof the system is 3y 2x 9. Which could be the otherequation?

Answers

The equation of the line is
3y = 2x - 9

For the system to have infinite number of solutions, the equations of the lines must be equivalent i.e., the equations will result to the same equation if the coefficient of one variable in an equation is made equal to the coefficient of the same variable to the other equation. So,

The possible answers are
y = 2/3 x - 3
3/2 y = x - 9/2

Or any multiples or rearrangements of either equations.

Answer:

y=2/3x-3

Step-by-step explanation:

A town has a population of 11000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number?

Answers

The population after 15 years, to the nearest whole number is 17600.

What is meaning of Percentage Increase ?

The percentage increase is calculated by first calculating the difference(increase) between the two numbers and then multiplying it by 100. The answer is noted in % .

It is given in the question that

A town has a population of 11000

It grows at 4% every year.

the population after 15 years = ?

The population increase can be determined by the formula of Amount used in Simple Interest

P₁₅ = P₀ + ( P₀ * 0.04 * 15)

P₁₅ = 11000 + (11000* 0.04 * 15)

P₁₅ = 17600

Therefore the population after 15 years, to the nearest whole number is 17600.

To know more about Percentage Increase

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