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saveliy_v [14]
3 years ago
12

Noah is learning portugese, and he uses flash cards to study vocabulary. For every 5 new flash cards he practices, he reviews 10

old flash cards. Today , he practiced 45 flash cards in all. How many new flash cards did he practice?
Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0
<h3>Answer:  15</h3>

=========================================================

Explanation:

n = number of new flash cards practiced

2n = number of old flash cards practiced

The 2n is due to the fact that the number of old flash cards is double that of the new ones (eg: 10 is twice that of 5).

The two expressions must add to 45.

new + old = total

n + 2n = 45

3n = 45

n = 45/3

n = 15

2n = 2*15 = 30

Noah practiced 15 new flash cards and 30 old flashcards which is a total of 15+30 = 45. This confirms our answer.

Also note that the ratio of new to old is 15:30 which reduces to 1:2, then we can multiply both sides by 5 to get 5:10. This effectively shows that 15:30 and 5:10 are the same equivalent ratio (just in different forms). This helps confirm our answer.

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Step-by-step explanation:

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Answer:

A. 4 (RootIndex 3 StartRoot 7 x EndRoot)  or 4(\sqrt[3]{7x})

Step-by-step explanation:

Given:

A radical whose value is, r_1=\sqrt[3]{7x}

Now, we need to find the like radical for r_1.

Let the like radical be r_2.

As per the definition of like radicals, like radicals are those that can be expressed as multiples of each other.

So, if two radicals r_1\ and\ r_2 are like radicals, then

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Where, 'n' is a real number.

Here, r_1=\sqrt[3]{7x}

Now, let us check all the options .

Option A:

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Now, we observe that r_2 is a multiple of r_1 because

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Therefore, option A is correct.

Option B:

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As the above radical is square root and not a cubic root, this option is incorrect.

Option C:

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As the term inside the cubic root is not same as that of r_1, this option is also incorrect.

Option D:

7 StartRoot x EndRoot or r_2=7\sqrt{x}

As the above radical is square root and not a cubic root, this option is incorrect.

Therefore, the like radical is option (A) only.

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