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3 years ago

K/2 + 1/2 = 3 what does the k=

1 answer:

5 0

You multiply all the numbers by 2 to get rid of the fractions. This would leave you with k + 1 = 6. Then you subtract 1 from both sides to get k = 5.

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The mean of Alice's last 5 math test scores is 88. The first 4 of these 5 math test scores were 87, 75, 93, and 85. What score d

stiks02 [169]

Answer:

Step-by-step explanation:

x is the score she got on the fifth test.

Since her average score is 88, the sum of all five tests is 5×88.

x + 87 + 75 + 93 + 85 = 5×88 = 440

x = 440 - 87 - 75 - 93 - 85

x = 100

She got a 100 on her fifth test.

6 0

2 years ago

How to write the number in 4different ways

mario62 [17]

Lets say the number is 155:

100 + 50 + 5

one hundred and fifty-five

155

idk the last one tho

there should be only 3 ways, plz double check

3 0

3 years ago

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0

3 years ago

Find the surface area of a sphere with a diameter of 30 m. Express your answer in terms of π.

shutvik [7]

Answer:

900π m2

Step-by-step explanation:

surface are of a sphere is 4π(r)^2

now diameter is 30m,so radius will be 15 m

how, 4π(15)^2=900π (m2)

8 0

3 years ago

What is the length and width of the rectangle if the area is 72 squre meters?

cupoosta [38]

Answer:

sorry

Step-by-step explanation:

5 0

2 years ago