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4 years ago

Fine a prime factor of the number 100

Mathematics

2 answers:

12345 [234]4 years ago

6 0

The prime factorization of 100 is 2 * 2 * 5 * 5. Using exponents, this number can also be written as 2^2 * 5^2.

Verdich [7]4 years ago

5 0

Answer:

2 and 5

Step-by-step explanation:

Make a list of all of the factors of 100.

1, 100
2, 50
4, 25
5, 20
10, 10

A prime number has two factors, one and itself, so the prime numbers in this list are 2 and 5. 1 is not prime because it only has one factor, itself.

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What do a parallelogram and kite have in common?

grigory [225]

They both have 4 congruent sides and angles.

4 0

4 years ago

You heard it as a FRACTION! please answer this lol I'm clueless :'D

uysha [10]

Answer:

$\frac{a}{b + 2}$

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b + 2

4 0

3 years ago

Read 2 more answers

Consider kite WXYZ. What are the values of a and b? a = 4; b = 10. a = 4; b = 40, a = 8; b = 10, a = 8; b = 40

Brut [27]

Check the picture below.

let's recall that a kite is a quadrilateral, and thus is a polygon with 4 sides

sum of all interior angles in a polygon

180(n - 2) n = number of sides

so for a quadrilateral that'd be 180( 4 - 2 ) = 360, thus

$\bf 3b+70+50+3b=360\implies 6b+120=360\implies 6b=240 \\\\\\ b=\cfrac{240}{6}\implies b=40 \\\\[-0.35em] ~\dotfill\\\\ \overline{XY}=\overline{YZ}\implies 3a-5=a+11\implies 2a-5=11 \\\\\\ 2a=16\implies a=\cfrac{16}{2}\implies a=8$

3 0

3 years ago

Read 2 more answers

Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a

Mashutka [201]

Answer:

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

Step-by-step explanation:

Given

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Required

Make the denominator equal

$\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}$

Factorize the denominator

$\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}$

$\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}$

Multiply the first fraction by $\frac{x+4}{x+4}$

Multiply the second fraction by $\frac{x-4}{x-4}$

$\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}$

$\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}$

$\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}$

<em>The expression now have the same denominator</em>

7 0

3 years ago

Jimmy walked from his house, to school, then to the store, and finally back home. The distance from the school to the store

Blababa [14]

The distance from Jimmy's house to the school is 400 meters.

Step-by-step explanation:

Step 1; Assume that the distance between Jimmy's house and his school is x meters. So from the given data, we can form these

Distance from his house to the school = x,

Distance from his school to the store = Distance from his house to the school + 100 = x + 100,

Distance from the store to his house = Distance from his house to the school + 175 = x +175.

Step 2; It is given that the total distance Jimmy walked was 1,475 meters. Jimmy walked a total of three trips so,

x + x + 100 + x + 175 = 1,475,

3x + 275 = 1,475,

3x = 1,475 - 275 = 1,200,

x = 400.

So distance from Jimmy's house to school = 400 meters,

Distance from his school to the store = 400 + 100 = 500 meters,

Distance from the store to his house = 400 + 175 = 575 meters.

8 0

4 years ago