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3 years ago

What is the GCF of 15 and 45?

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Answer: 15

Step-by-step explanation:

lana [24]3 years ago

4 0

Answer:

The greatest common factor is 15.

Step-by-step explanation:

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Find the value of x

GuDViN [60]

Answer:

x = 12

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

3x+19 + 5x = 115

Combine like terms

8x + 19 = 115

Subtract 19 from each side

8x+19 -19 = 115 -19

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

7 0

3 years ago

A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio

kow [346]

Answer: 0.6

Step-by-step explanation:

The probability formula to find p(B/A) is :

P(B/A) = p(A n B) / p(B)

Which means that A is contain in B and p(A n B) is p(A)

p(A n B)= p(A)=0.6 × 0.05 = 0.03

p(B)=0.05

Therefore

P(B/A) = p(A n B) / p(B)=p(A) / p(B)

P(B/A)=0.03 / 0.05

P(B/A)=0.6

5 0

3 years ago

Using 5 letters followed by 2 digits, how many passwords are possible?

Deffense [45]

Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

6 0

3 years ago

Simplify, state all restrictions.

Kipish [7]

The simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x - y}{4x^2 - 8xy + 3y^2} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{x^2 - y^2} -1$

Express x^2 - y^2 as (x + y)(x - y) and factorize other expressions

$\frac{x - y}{(2x - y)(2x - 3y)} \div \frac{2x + y}{2x - 3y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Rewrite the expression as products

$\frac{x - y}{(2x - y)(2x - 3y)} \times \frac{2x - 3y}{2x + y} \times \frac{4x^2 - y^2}{(x - y)(x + y)} -1$

Cancel out the common factors

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{4x^2 - y^2}{(x + y)} -1$

Express 4x^2 - y^2 as (2x - y)(2x + y)

$\frac{1}{(2x - y)} \times \frac{1}{2x + y} \times \frac{(2x - y)(2x + y)}{(x + y)} -1$

Cancel out the common factors

$\frac{1}{x + y} -1$

Take the LCM

$\frac{1 - x - y}{x + y}$

Hence, the simplified expression is $\frac{1 - x - y}{x + y}$ and the restriction is $y \ne -x$