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makaylasulak5462
25.09.2021 •
Mathematics
Help me plsss. test is timed!
Samuel correctly determines the product by applying the distributive property.
−12 ⋅ (61/24)
What is Samuel's answer?
Thank you! :D
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Ответ:
Using multiplication of fractions, it is found that Samuel's answer is of:![-\frac{61}{2} = -30.5](/tpl/images/2476/4960/8737f.png)
--------------------------
In a multiplication of two fractions, the numerators and denominators are multiplied.Multiplication rules apply, thus a negative fraction multiplied by a positive one is negative.The multiplication is:![-12 \times \frac{61}{24} = -\frac{12 \times 61}{24}](/tpl/images/2476/4960/0a368.png)
Simplifying 12 and 24.Samuel's answer is of![-\frac{61}{2} = -30.5](/tpl/images/2476/4960/8737f.png)
A similar problem is given at
Ответ:
Option A is correct
Step-by-step explanation:
Given that:
70% of x.
⇒![\frac{70}{100} \times x](/tpl/images/1174/9861/22ccc.png)
⇒![\frac{7x}{10}](/tpl/images/1174/9861/666a0.png)
Option A:
⇒![\frac{3x}{4}-\frac{x}{20}](/tpl/images/1174/9861/bdd75.png)
⇒![\frac{60x-4x}{80}](/tpl/images/1174/9861/339a6.png)
⇒![\frac{56x}{80}](/tpl/images/1174/9861/f3ee1.png)
Simplify:
⇒![\frac{7x}{10}](/tpl/images/1174/9861/666a0.png)
Option B:
⇒![\frac{3x}{4}-\frac{x}{10}](/tpl/images/1174/9861/8bab8.png)
⇒![\frac{30x-4x}{40}](/tpl/images/1174/9861/90535.png)
⇒![\frac{26x}{40}](/tpl/images/1174/9861/125ad.png)
Simplify:
⇒![\frac{13x}{20}](/tpl/images/1174/9861/0461d.png)
Option C:
⇒![\frac{6x}{10}](/tpl/images/1174/9861/9e5b7.png)
Simplify:
⇒![\frac{3x}{5}](/tpl/images/1174/9861/b56e9.png)
Option D:
⇒![\frac{x}{2}+\frac{x}{8}](/tpl/images/1174/9861/5c761.png)
⇒![\frac{5x}{8}](/tpl/images/1174/9861/1e026.png)
Therefore, only option which is equivalent to 70% of x is, Option A i.e![3(\frac{x}{4})-\frac{1}{2}(\frac{x}{10})](/tpl/images/1174/9861/cd94a.png)