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olganol [36]
3 years ago
8

May someone help me with this question, please and thank you :3

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

16

Step-by-step explanation:

factor 4^{3} out of 4^{5}

\frac{4^{3}(4^{2})  }{4^{3} }

cancel common factors

\frac{4^{3}(4^{2}) }{4^{3}(1) }=\frac{4^{2} }{1}

simplify

4^{2}

solve

16

9966 [12]3 years ago
3 0

Answer:

4^2 or 16

4^5 / 4^ 3

*subtract the exponents*

5 - 3 = 2

4^2 = 16

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yarga [219]
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3 years ago
If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.
olganol [36]

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

Then,

5/3 = 1 remainder 2

Substitute k into the equation

n = k(k + 7)

n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

Therefore, the answer to both questions is Yes.

5 0
3 years ago
Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one
vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

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According to the question

12(x+0.40)+20x =16

Distributing 12 and combining like terms, we will get

12x+4.8+20x=16\\32x = 11.2\\x = 0.35

Therefore cost of pencil is $0.35 and cost of pen is

0.35+0.40=0.75

3 0
3 years ago
What uses numbers, variables and operations symbol?
Nutka1998 [239]
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6 0
3 years ago
Please help quickly this is timed
liberstina [14]

Answer:

the one you have selected is correct

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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