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Sonbull [250]
2 years ago
14

Help please, question attached

Mathematics
2 answers:
Harman [31]2 years ago
7 0

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

Alexxandr [17]2 years ago
4 0

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

                               

The answer would be C. x = 8.

I hope that this helps! :)

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1. The sides are: 38.5, 39.5, 40.5 and 41.5

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Step-by-step explanation:

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Solving (a):

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Sides: Consecutive

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Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

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Perimeter = x + x + 1 + x + 2 + x + 3

This gives:

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Collect Like Terms

160 -1-2-3= x+x+x+x

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<em>So, the sides are: 38.5, 39.5, 40.5 and 41.5</em>

<em></em>

Solving (b):

Given

Presently: Inzo = 10 + Miz

Five years ago: Miz - 5= \frac{1}{3} * (Inzo-5) --- (Missing from the question)

Required: Determine their present ages

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Miz - 5 = \frac{1}{3} * (10 + Miz - 5)

Miz - 5 = \frac{1}{3} * (Miz + 5)

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3Miz - 15 = Miz + 5

Collect Like Terms

3Miz -Miz = 15  + 5

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Divide both sides by 2

Miz = 10

Substitute 10 for Miz in Inzo = 10 + Miz

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Solving (3):

Given

Express Train:

Speed = 100kph

Time = t

Local Train:

Speed = 45kph

Time = t + 45

Required: Determine the distance between A and B

Distance is calculated as:

Distance = Speed * Time

For the express train:

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For the local train

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100 t = 2025 + 45t

Collect Like Terms

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55t= 2025

Divide by 55

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Substitute 36.82 for t in Distance = 100 * t

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Sum less than 60: n + n + 2 < 60

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Given

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Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

Perimeter =4 * L

Perimeter =4  L

So, we have:

4L < 152m

Divide through by 4

L < 38m

Hence, length is less than 38m (e.g. 37m)

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