
<em>Translate into an algebraic equation:-</em>
<em>The quotient of a number and 5.</em>
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✳︎ First, the word "quotient" indicates that we divide.
Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.
So the quotient of d and 5 looks as follows:-

<h3>Good luck with your studies.</h3>

Answer:
M(M + 3) = 108
The two numbers would be represented as m and m+3 to show the 3 units apart. So when multiplied, it looks like m times m+3
Step-by-step explanation:
Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
Answer:
–√(7) must also be a root of f(x)
Step-by-step explanation:
Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:
f(x) = (x – 3)(x² – 7)
This is because we are dealing with √(7) and what brought about √(7) was x² = 7.
If this is the case, we know that x² = 7 will give
x = ±√(7)
Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).
Carol spends 52.5 hours practicing her culinary skills in a 5 week period.
17*2= 44 hours for 4 weeks
17/2= 8.5 for 1 week (half of 2 week period)
44+8.5= 52.5