Answer:
x = 13.5
Step-by-step explanation:
direct variation
y = kx
substitute x and y to find k
8 = k*6
divide by 6
8/6 =k
4/3 = k
y = 4/3 x
now put in y =18
18 = 4/3 x
multiply by 3/4
18 * 3/4 = 3/4 * 4/3 x
54/4 = x
change to a decimal
13.5 =x
Answer:
0.25 = 2^-2
The "^" means that -2 is an exponent on top of 2.
1.
k = 1
J = 7(1) + 5
J = 12
k = 1 + 2 = 3
J = 7(3) + 5
J = 26
26 - 12 = 14
J increases by 14.
2.
1/6 = 0.16 false (1/6 = 1.67)
0.08 = 4/5 false (0.08 = 8/100 = 2/25)
0.25 = 1/4 true (0.25 = 25/100 = 1/4)
<span>1/3 = 0.3 true (if rounded)</span>
<span>
3.
12 candles in 3 hours
12 </span>÷ 3 = 4
4 candles in 1 hour
4 × 8 = 32
32 candles in 8 hours
4.
$3.45 for 64 ounces
3.45 ÷ 64 = 0.05
$0.05 or 5 cents per ounce
5.
75 is what percent of 250?
75 ÷ 250 = 0.3
0.3 × 100 = 30
30%
