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Nady [450]
3 years ago
5

Thirty-eight is

align="absmiddle" class="latex-formula"> of what number?
Mathematics
1 answer:
Lisa [10]3 years ago
5 0

Answer:

The number is 95.

Step-by-step explanation:

Solution,

Let the number be 'x'.

So, \frac{2}{5} of 'x' = \frac{2}{5}x

Now according to question, \frac{2}{5}x is equal to 38.

So we can frame it as;

\frac{2}{5}x=38

Now we solve it;

For solving it we will multiply both side by '5' using multiplication property and get;

\frac{2}{5}x\times5=38\times5\\\\2x=38\times5

Now using division property, we will divide both side by '2' and get;

\frac{2x}{2}=\frac{38\times5}{2}\\\\x=19\times5=95

Hence The number is 95.

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Carlos wants to put 720 of his blocks in his toy box. A small set has 10 blocks and a large set has 100 blocks. How can you writ
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Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

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The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:

10\cdot m + 100\cdot n = 720, \forall\,m,n\in \mathbb{N_{O}} (1)

Where:

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Now we can clear n in terms of m:

100\cdot n = 720 -10\cdot m

n = 7.2-0.1\cdot m (2)

From (2) we get the following combination of sets:

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2) m = 22, n = 5

3) m = 32, n = 4

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

We kindly invite to see this question on linear functions: brainly.com/question/3400735

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