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3 years ago

K^5/6 Verbal expression

Mathematics

1 answer:

fenix001 [56]3 years ago

3 0

Answer:

The quotient of a number to the fifth power and six.

Step-by-step explanation:

Step 1: Convert k⁵ into words

k⁵ = a number to the fifth power

Step 2: Convert / into words

/ = quotient

Step 3: Convert 6 into words

6 = six

Step 4: Combine

The quotient of a number to the fifth power and six.

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Does |6+(-1)| equal |14-19|? If you answer this can you please explain why

BlackZzzverrR [31]

It does. Because 6+(-1) equals 5 and so does 19-14

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4 years ago

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A new television set was recently purchased for the common room in a residence hall for $436.80 including tax the tax rate is 4%

garri49 [273]

Answer:

The price of the television before taxes is $420

Step-by-step explanation:

* Lets explain how to solve the problem

- The purchased price = cost price + taxes

- A new television set was recently purchased for the common room

in a residence hall for $436.80

- This price including tax

- The tax rate is 4%

- We need to find the price of the television before taxes

* Lets solve the problem

- Assume that the price of the television before tax is 100%

∵ The tax rate is 4%

∵ The price after tax = price before tax + tax

∵ The price before tax = 100%

∴ The price after tax = 100% + 4% = 104%

∵ 104% equivalent to $436.80

∴ 100 ⇒ ?

104 ⇒ 436.80

- By using cross multiplication

∴ ? = $\frac{(436.80)(100)}{104}=420$

∴ The price of the television before taxes is $420

6 0

3 years ago

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8

Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y = $\frac{80}{5}$

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = $\frac{146}{32}$ = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

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3 years ago

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Lester's Pizza sells pizza by the slice for lunch. Today, there are 80 slices ready for lunch, including 12 slices of pepperoni

Oxana [17]

Whats the questions your asking?

7 0

3 years ago

Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that n ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

4 years ago