# Write and solve an equation to find three consecutive integers such that three times the sum of the first two integers is the same as thirteen more than four times the third integer.

Answer: Let the integers be x, x+1, and x+2
3(x+x+1)=13+4(x+2)
3(2x+1)=13+4x+8
6x+3=4x+21
2x=18
x=9

the integers are 9,10,11

## Related Questions

Mr.Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard.The edging is sold in lengths of 19 ft each.How many lengths of edging will mr mr.Rice need to purchase?

Mr Rice will purchase 8.75 ft of edging

• Total length of edging on the flower beds = 166.25 ft
• Total length of an edging being sold = 19 ft
• The lengths of edging Mr rice will need to purchase = Y
Further Explanation

if we derive equation for this question, then we have:

166.25 = 19Y

Y=

Y= 8.75

You can also solve it quickly by following this step:

To determine the lengths of edging Mr Rice will need to purchase, the total length of edging on the flower beds (166.25) will be divided by the total length of an edging being sold (19) i.e. 166.25 ÷ 19

= 166.25 ÷ 19

=

= 8.75

Therefore, the total length of edging Mr Rice will need to purchase is 9 ft.

The above mathematical expression is a number problem, and was solved with the aid of division.

The term, division, is a basic arithmetic operation which deals with splitting or dividing two or more numerical values into different equal part.

In this case, it could be observed that the significant numbers that were divided are 166.25 and 19, resulting to 8.75. It is also a function of BODMAS (which is an order of operations).

• 2.1 liters of coffee were equally  brainly.com/question/11591260
• Tyler baked 702 cookies he sold them in boxes of 18 brainly.com/question/264180

KEYWORDS:

• Mr.Rice
• 166.25 ft
• flower beds
• 19 ft each
• lengths of edging
• bodmas

Step-by-step explanation: Divide 166.25 by 19

Multiply and simplify. 3xy4z2⋅5x2yx 15x4y5z2

8x4y5z2

15(xyz)11

15x2y4z2

Multiplying and simplifying the algebraic expression, 3xy^4z²*5x²yx will give you: A. 15x^4y^5z^2.

Multiplication of Algebraic Expressions

Given the following:

3xy^4z²*5x²yx

Thus, multiply same variables together, separately, as follows:

(3 × 5)(x × x² × x)(y^4 × y)(z²)

15x^4y^5z^2

Therefore, multiplying and simplifying the algebraic expression, 3xy^4z²*5x²yx will give you: A. 15x^4y^5z^2.

brainly.com/question/4344214

I think the answer is 15x^4y^5z^2

The amount of money in Toni's savings account after x weeks is described by the function f(x) = 5x + 20. Which best interprets this function? 1.Toni's savings account started with \$5 and increased by \$20 each week.
2.Toni's savings account started with \$20 and increased by \$5 each week. 3.Toni's savings account started with \$20 and decreased by \$5 each week.
4.Toni's savings account started with \$5 and decreased by \$20 each week.

Toni's account started with 20 and increased by 5 each week.

Step-by-step explanation:

20 is the intial amount and 5 is the rate of change.

Find the exact value of cos a, given that sin a= 8/11 and a is in quadrant I.
cos a= ?

cos(a) = (√57)/11

Step-by-step explanation:

cos(a) = √(1 -sin(a)²) = √(1 -(8/11)²) = √(57/121)

cos(a) = (√57)/11

Find the derivative of function y=4x^2-9x-6 using the limiting process . Show your work including: difference quotient , steps to simplify, how you set up the limit , and the derivative

By the definition of the derivative,

Simplify the numerator:

Subtracting removes all the terms here not involving , so the limit reduces to

Cancel the factor in the numerator and denominator:

As , we're left with

A scarf is a triangle with two perpendicular sides that are the same length which two terms describe a triangular scarf

A triangular scarf is an isosceles right triangle.

Step-by-step explanation:

Given: A scarf is a triangle with two perpendicular sides that are the same length.

We have to name which two terms describe a triangular scarf.

Isosceles triangle is a triangle with length of two of its sides equal.

Right angled triangle is a triangle in which one angle is a right angle.

Given :

The two sides of scarf are perpendicular to each other.

Thus, the angle formed between them is 90°. Hence, right angled triangle.

Also, length of two sides are same, Hence isosceles triangle.

Thus,a triangular scarf is an isosceles right triangle.

the density of pure gold 1,204 pounds per cubic foot? how many cubic feet is 481.6lbs of pure gold?

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

ponds per cubic foot = [ pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [ pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

Which of the following expressions are equivalent to the expression 4x + 8? Choose ALL the expressions that are equivalent.

Question 1 options:

6x+8−2x

4(x+8)

2(2x+4)

4x+2

4(x+2)

3x+9+x−1

2(2x+8)

Step-by-step explanation:

4x+8

6x+8-2x=4x+8 yes

4(x+8)=4x+32 no

2(2x+4)=4x+8 yes

4x+2 no

Answers: 6x+8-2x( first choice) , 2(2x+4) ( third choice)

6x+8-2x

2(2x+4)

4(x+2)

3x+9+x-1

Hope this helps!

What numbers add up to 5 and multiply up to -180 ?

These numbers are and .