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miv72 [106K]
3 years ago
10

A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g

, find the mass of the block in kg​
Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

9514 1404 393

Answer:

  • 20,000 cm³
  • 54 kg

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

  V = LWH

  V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

__

The mass is ...

  (20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

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Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • x represents the number of traffic tickets.
  • y represents the cost of car insurance.

The function is:

y = 73x + 146.53

Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.

You can learn more about linear functions at brainly.com/question/25823744

4 0
2 years ago
Suppose a certain company sells regular keyboards for $83 and wireless keyboards for $110. Last week the store sold three times
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Answer:

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Step-by-step explanation:

A set of 3 regular and 1 wireless keyboard would sell for ...

  3×$83 +110 = $359

For the given sales, the number of sets sold was ...

  $5385/($359/set) = 15 sets

Since there are 3 regular keyboards in each set, there were 3×15 = 45 regular keyboards sold. The number of each type of keyboards sold is ...

  45 regular keyboards and 15 wireless keyboards

_____

<em>Comment on this solution</em>

When a problem statement tells you the ratio of one kind of item to another, it is often convenient to group the items in that ratio and deal with the groups. Sometimes, there will be a few missing or left over, for example "10 more than 3 times as many." In those cases, you can make an adjustment to the total and still deal with the groups. (Any equations you might write will effectively do this same thing.)

6 0
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