35% of 120 is 42. (42/32 then multiply that by 100)
92% of 125 is 115. (115/92 then multiply that by 100)
Let's call the 13¢ stamps a and the 18¢ stamps b:
a+b = 42 and therefore a= 42-b (formula 1)
0.13a+0.18b= 6.66 In this formula, substitute the value of a according to formula 1:
0.13(42-b)+0.18b= 6.66 Multiply on the left to get rid of the parenthesis:
5.46-0.13b+0.18b= 6.66 Subtract 5.46 from both sides:
-0.13b+0.18b= 1.20 Add on the left:
0.05b= 1.20 Divide both sides by 0.05
b= 24 You have 24 18¢ stamps and:
42-24= 18 13¢ stamps
Check: (24 x 0.18) + (18 x 0.13)= 6.66 Correct.
1: if u use the same measures they will be congruent angles.
2: because the segment is being cut in half.
3: their has to be an intersection in the arcs<span />
Answer:
4.43 inches
Step-by-step explanation:
The volume of the hot tub is
V = l*w*h
We are given the volume in gallons which we need to convert to cubic inches
1 gallon = 231 in^3
350 gallons *231 in ^3/1 gallon = 80850 in ^3
Substituting in what we know, we can find the height of the tub
80850 = 76*60 *h
17.76026316 is the height of the tub
If the tub is 1/4 full
We take 1/4 of the height
1/4 * 17.76 = 4.432565789
The approximate height of the water is 4.43 inches
