What is the least common multiple (LCM) of 5 and 7?

Answers

Answer 1
Answer:

Answer:

35

Step-by-step explanation:

Express each number in terms of its prime factors

5 = 5 and 7 = 7

Then multiply each factor the greatest number of times it occurs in either number.

Both factors occur only once, thus

LCM = 5 × 7 = 35

Answer 2
Answer:

Answer: 35.

7: 7, 14, 21, 28,35

5: 5, 10, 15,20, 25, 30, 35


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Will offer 11 points to anyone!

Answers

It’s (D) good luck for the rest of your questions

Answer:

your answer is D

Step-by-step explanation:

hope this helps

Translate the phrase into an algebraic expression.
5 less than w

Answers

5 less than w into an algebraic expression is w-5.

Answer:

the answer is w - 5

Step-by-step explanation:

you need to subtract 5 from w

hope it helps! <3

What is the value of x in the figure?
A 42
B 48
C 132
D 138

Answers

Answer:

D 138

Step-by-step explanation:

the outside angle(x) of a triangle whose base is extended is always equivalent  to the farthest 2 inside angles of the triangle.

x = 48 + 90 = 138

A pair of Shoes are 40% off, regular price is n dollars, what’s the algebraic expression of the sale price

Answers

Answer:

.6n

Step-by-step explanation:

If we get 40 % off, we still have to pay 100-40 or 60%

The original price is n

We pay 60% of n

60%*n

.60*n

.6n

Find the additive inverse of −5 + 7i.​

Answers

Answer:

5-7i

Step-by-step explanation:

-5+7i+(5-7i)=0 so 5-7i is the additive inverse of -5+i

hope this helps-

Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown below?

Answers

Answer:

The best option is;

A triangle with three equal sides all longer than 12 inches

Step-by-step explanation:

The cross sectional area of the square prism that passes through points A, B and C is found as follows;

Shape of cross section ABC = Triangle

Base, AB of the triangle is given by;

AB = √(8² + 8²) = √128 = 8·√2

Side, AC of the triangle is given by AC = √(8² + 12²) = 4√13

Therefore, the height of the triangle is given as follows;

Height, h = √(4·√13)²-(4·√2)² = 4·√11

The area of the cross section then is 0.5 × Base × Height

= 0.5 × 8·√2 × 4·√11  = 16·√22

A triangle with 3 equal sides of 8 inches has an area of 4×8×sin(60) = 16√3

A triangle with 2 equal sides of 12 inches and one side of 8 inches has an area of 4×12×sin(60) = 24√3

Therefore since 16·√22 > 24√3 >  16√3, the best option is a triangle with three equal sides of  (13(1453)/(8815)) all longer than 12 inches.