27 inches ......... 3/8
x inches .............8/8
<h3>x = (27×8/8)/(3/8) = 27×8/3 = 216/3 = 72 inches (father)</h3>
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
Answer:
1017.4 m³
Step-by-step explanation:
Volume of cone V = (1/3)πr²h
pi = 3.14
r = 9 and r² = 81 m²
h = 12 m
V = (1/3)*3.14*81*12
V = 1017.36 rounded 1017.4 m³, which is the first answer.
If Jimmy's new cell cost him $49.99 with a 75% discount, then $49.99 is <span>100%−75%=25%</span><span> of the original price.
</span>
The original price of the cell phone was <span>$199.96</span><span>.</span>
The given system of equation that is 
and 
has infinite number of solutions.
Option -C.
<u>Solution:</u>
Need to determine number of solution given system of equation has.
Let us first bring the equation in standard form for comparison
To check how many solutions are there for system of equations 
, we need to compare ratios of 
In our case,
As 
, so given system of equations have infinite number of solutions.
Hence, we can conclude that system has infinite number of solutions.
