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Korvikt [17]
3 years ago
10

When solving the equation 3x = 9, Daniel used a property of algebra and transformed the equation into x=3. Which property did he

use?
A) Multiplication
B) Division
C) Addition
D) Subtraction
Mathematics
2 answers:
muminat3 years ago
5 0

Answer:

B)Division

Step-by-step explanation:

3x=9

divide both side by 3 gives you

x=3

denis23 [38]3 years ago
3 0
B) Division

When dividing the 3x=9 you need to leave x on its own therefore you decide 3x by 3 to cancel out the multiplication. Than what you do to one side you do to the other so 9/3 = 3 leaving the equation answer: x=3
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the length of the rectangle is twice its width. write and solve a system of linear equations to find the length L and width W of
xz_007 [3.2K]

Answer:

2 ( m + 2 m)  = 36 is the required linear equation

Length of the rectangle is 12 ft and width =  6 ft

Step-by-step explanation:

Let the width of the rectangle = m ft.

So, the length of the rectangle = 2m  ft.

Perimeter  of rectangle = 36 ft

Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)

⇒2 ( m + 2m)  = 36

or, 2 x 3m  = 36

⇒ 6m  = 36  , or m  = 36/6

⇒ m  =6 ft

So, the Width of the rectangle;  =  m = 6 ft

and the Length of the rectangle  = 2 m  = 2 x 6 =  12 ft.

5 0
3 years ago
What is the total degree measure of the interior angles of a shape with 6 sides
elena-s [515]
The formula for calculating this is
(n - 2) x 180

So n = number of sides

(6 - 2) x 180

4 x 180 = 720

So the total is 720°
8 0
3 years ago
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KIM [24]
<span>The greatest common factor (GCF) of 24 and 48 is 24</span>
5 0
3 years ago
Tyrell Otis deposited his IRS refund check for $760 at 5% and made no other deposits or withdrawals. How much simple interest di
Helga [31]

Answer:

He earned $114 in interest.

The final amount in the account is $874

Step-by-step explanation:

Initial balance (b): $760

Interest rate (i): 0.05

Period (n): 3 months

Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:

I = n*B*i\\I= 3*760*0.05\\I=114

The final amount (A) in the account is the initial balance plus the interest earned in 3 months.

A = 760 +114\\A=874

He earned $114 in interest and the final amount in the account is $874

6 0
3 years ago
Find the odds of each of the following events. (a) an event E with Pr(E) = 4/7 (b) an event E with Pr(E) = 0.6 (a) The odds are
Dafna1 [17]

Answer:

(a) The odds of event E is 4/3.

(b) The odds of event E is 3/2.

Step-by-step explanation:

Formula for probability of an event:

Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

Formula for odds of an event:

odds=\frac{\text{Favorable outcomes}}{\text{Unfavorable outcomes}}

(a)

It is given that

P(E)=\frac{4}{7}

The probability of unfavorable event

P(E')=1-P(E)=1-\frac{4}{7}=\frac{3}{7}

Odds of event E is

odds=\frac{P(E)}{P(E')}

odds=\frac{\frac{4}{7}}{\frac{3}{7}}

odds=\frac{4}{3}

Therefore the odds of event E is 4/3.

(b)

It is given that

P(E)=0.6

The probability of unfavorable event

P(E')=1-P(E)=1-0.6=0.4

Odds of event E is

odds=\frac{P(E)}{P(E')}

odds=\frac{0.6}{0.4}

odds=\frac{3}{2}

Therefore the odds of event E is 3/2.

3 0
3 years ago
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