To convert a mixed fraction into an improper fraction, we must follow some steps.
First, we take the whole part and multiply it by the denominator of the fraction.
In this case, we take 2 and multiply it by 8.
Now we add the numerator:
16+3=19
The denominator stays the same:
Hope it helps! :)
Answer:
infinite solution
Step-by-step explanation:
because Y = 7(x + 2) and y = 7x + 14 are the same
y = 7(x+2) = 7x + 14
eliminate to see
y = 7x + 14
-(y = 7x +14)
= 0 = 0 + 0
so it is infinite solution
Answer:
4th option
Step-by-step explanation:
Given
- 
← expand denominator using FOIL
= - 
Since the denominators are common, then subtract the numerators
= 
Answer:
<h2>10</h2>
Step-by-step explanation:
"12 more than the quiotent of a number n of and two decreased by 4"
Simplify:
Put n = 4 to the expresssion:
(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
