Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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I'm guessing the % of syrup refers to the % of sugar it has, therefore:
50% = 50 / 100 = 0.5
0.5 * x = 0.5
x = 0.5/0.5
x = 1
She will have 1 lbs of syrup
The factors of 16 are 1, 2, 4, 8, and 16.
<span>The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. </span>
<span>The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. </span>
<span>So the greatest common factor of 16, 24, and 40 is 8.
Hope this helps:)</span>
Answer:
9 1/3
Step-by-step explanation:
Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.
2/3 gets multiplied by 2/2
1/2 gets multiplied by 3/3
1/6 stays the same
2/3 becomes 4/6
1/2 becomes 3/6
1/6 stays 1/6
Follow the order of operations from the original equation.
4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6
6 - 1 = 5 then 5 + 4 = 9
Simplify 2/6 to 1/3
Remember to add 1/3 back to 9 making it 9 1/3
Answer:
36 is 25% of 144
Step-by-step explanation:
25% means 25/100 or 1/4. Thus, 36 is 1/4 of 36*4 = 144
