Raise 49<span> to the </span>power<span> of </span>2<span> to get </span><span>2401.
</span><span><span>7^3</span>x+4=2401x+1
</span>Raise 7<span> to the </span>power<span> of </span>3<span> to get </span><span>343.
</span><span>343x+4=2401x+1
</span>Since <span>2401x</span><span> contains the </span>variable<span> to solve for, move it to the left-hand side of the </span>equation<span> by subtracting </span><span>2401x</span><span> from both sides.
</span><span>343x+4−2401x=1
</span>Add <span>343x</span><span> and </span><span>−2401x</span><span> to get </span><span><span>−2058x</span>.
</span><span>−2058x+4=1
</span>Since 4<span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by subtracting </span>4<span> from both sides.
</span><span>−2058x=−4+1
</span>Add <span>−4</span><span> and </span>1<span> to get </span><span><span>−3</span>.
</span><span>−2058x=−3
</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span><span>−2058</span>.
</span><span>x=<span>1/686</span></span>
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= <em><u>401.92</u></em>
V of rectangular prism = 14 * 8 * 12
= <em><u>1344</u></em>
<em><u>Add = 401.92 + 1344</u></em>
<em><u> = 1,745.92</u></em>
<h2><em><u>
1,745.92 is the answer.</u></em></h2><h2><em><u>
Rounded the answer is C</u></em></h2>
Answer:
6x+2
Step-by-step explanation:
Answer:
f(g (x))= 32x-18
g (f (x))=32x2+42
Step-by-step explanation:
f (g (x))= 4 (8x-6)+6
32x-24-6
32x-18
g (f (x))= 8(4x2+6)-6
32x2+48-6
32x2+42
Answer:
Step-by-step explanation:
The admission to the fair is $5 and the cost per ride is 50 cents.
Let the number of rides that he can go on be x
If one ride costs 50 cents, x rides will cost 50×x = 50x cents. Converting 50 cents to dollar, it becomes 50/100 = $0.5.
So x rides will cost $0.5x
If his parents gave him $20, he will pay $5 to be admitted into the fair. He would be left with 20- 5 = $15
The equation to find how many rides he can go on will be
0.5x = 15
Since one ride costs $0.5
x rides cost $15
x = 15/0.5 = 30
He can go on 30 rides
