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monitta
3 years ago
13

Enter the correct answer in the box. Simplify this expression.

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

4^6

Step-by-step explanation:

4^9 \div 4^3

Apply the law of exponents.

=4^{9-3}

=4^6

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8. Olivia's brother is twice her age
slava [35]

The ages of Olivia and her brother are 10 years and 11 years respectively

Let x₁, and x₂ be the ages of Olivia and her brother respectively.

Given that Olivia's brother is twice her age minus 9 years.

⇒ x₂ = 2x₁ - 9 → equation 1

Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.

⇒ x₂ = 1/2 × (x₁ + 12) → equation 2

Using equation 1 in equation 2, we get

2x₁ - 9 = 1/2 × (x₁ + 12)

⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)

⇒ 4x₁ - x₁ = 12 + 18

⇒ 3x₁ = 30

⇒ x₁ = 10 (dividing by 3 on both sides)

Using the value of x₁, in equation 1,

⇒ x₂ = 2(10) - 9

⇒ x₂ = 20 - 9

⇒ x₂ = 11

Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.

Learn more at:

brainly.com/question/28016937

brainly.com/question/28016937

#SPJ9

8 0
1 year ago
HELP!!!!!!math plzzz
yan [13]

Answer:

{0,6}

Step-by-step explanation:

You need to find all x that belong to A but do not belong to B.

0, 6 are the only ones.

Hope it helps and if it does, plzzzz mark me BRAINLIEST!!!

6 0
3 years ago
What polynomial has roots of -4, 1, and 6?
Delicious77 [7]
X^3-3x^2-22x+24
the first option is the answer

solution: (x + 4)(x - 1)(x -6) = (x^2 - x + 4x -4)(x - 6)
(x^2 + 3x -4)(x - 6) = x^3 -6x^2 + 3x^2 - 18x - 4x + 24 = x^3 - 3x^2 - 22x + 24
3 0
3 years ago
What's 2 ÷ 96 and does any one want my s n a p c h a t
oksano4ka [1.4K]
The answer is 47 no I don’t want thank you
8 0
4 years ago
Read 2 more answers
A student sees a newspaper ad for an apartment that has 1330 square feet (ft2 ) of floor space. how many square meters of area a
kkurt [141]

We know 1 meter = 3.28084 feet

So 1 square meter = 3.28084 × 3.28084 square feet.

Now to convert from square feet to square meters, we need to divide by 3.28084 × 3.28084.

The area given in the news paper advertisement is 1330 square feet.

So to convert to square meters we divide by 3.28084 × 3.28084

We get

1330 square feet = \frac{1330}{(3.28084)^{2} }  =123.56

Hence 1330 square feet of area is equal to 123.56 square meters.

3 0
3 years ago
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