All categories

2 years ago

If the sum of five consecutive even integers is 290, what is the smallest of the five integers?

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

4 0

So let n be the smallest number. To have consecutive even integers each number goes up by 2 so n, n+2, n+4, n+6, n+8.

Therefore, n+n+2+n+4+n+6+n+8=290

5n+20=290

5n=270

n=54

You might be interested in

A 236 inch board is cut into two pieces. one piece is three times the length of the other. find the length of the two pieces

kirill [66]

let length of one piece = x

length of other piece = 236-x

one piece is three times the length of the other

x=3(236-x)

x=708-3x

4x=708

x=177

so first piece is 177 inches long and second piece is (236-177)= 59 inches long

7 0

3 years ago

Explain the relationship between the legs and the hypotenuse of a right triangle.

podryga [215]

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

6 0

3 years ago

What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2

Anna [14]

Answer:

B) 81π units²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Radius of a Circle Formula: r = d/2

r is radius
d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Diameter d = 18 units

Step 2: Manipulate Variables

Radius r = 18 units/2 = 9 units

Step 3: Find Area

Substitute in r [Area of a Circle Formula]: A = π(9 units)²
[Area] Evaluate exponents: A = π(81 units²)
[Area] Multiply: A = 81π units²

6 0

2 years ago

Solve for y. 15 points to anyone who answers. Seriously need help with this!!!

gtnhenbr [62]

The answer to it is x=12

3 0

3 years ago

Read 2 more answers

A fish with 68 meters at a constant speed in 8 minutes. On her homework assignment, Tracy said the fish traveled 60 meters per m

Natasha2012 [34]

Morgan is right because to find how much something is per minute you need to divide. In this case, you need to divide 68 and 8. The answer then is 8.5

3 0

3 years ago