a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
First one:
3 * 2/3 is equal to 6/3 which is equal to 2 and 2 is less than 3
second one:
5/7 * 3 is equal to 15/7 and 15/7 is greater than 5/7 :)))
i hope this is helpful
have a nice day
Answer:
The net pay is $272.04 .
Step-by-step explanation:
As given in the question
Hours worked - 35, Hourly Wage -$9.50 .
Thus
Gross pay = Hours worked × Hourly Wage
Put all the values in the above
Gross pay = 35 × $9.50
= $ 332.5
As given
Federal tax - $35.02, Social Security tax - $25.44
Thus
Net pay = Gross pay - Federal tax - Social Security tax
Put all the values in the above
Net pay = $ 332.5 - $35.02 - $25.44
= $332.5 - $60.46
= $ 272.04
Therefore the net pay is $272.04 .
1 ft = 12 inches
6 ft = 72 inches (multiply both sides by 6)
6 ft + 2 inches = 72+2 = 74 inches
6 ft, 2 inches = 74 inches
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1 ft = 12 inches
2 ft = 24 inches
2 ft + 1 in = 24+1 = 25 inches
2 ft, 1 in = 25 inches
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1 ft = 12 inches
3 ft = 36 inches
3 ft + 7 in = 36+7 = 43 inches
3 ft, 7 in = 43 inches
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To rewrite the problem a bit in equivalent form, we have a man who is 74 inches cast a shadow that is 25 inches long. The tree has a shadow of 43 inches. We want to find the height of the tree, which for now we'll call x
(tree height)/(tree shadow) = (person height)/(person shadow)
x/43 = 74/25
25x = 43*74
25x = 3182
x = 3182/25
x = 127.28 inches
The tree is 127.28 inches tall which is the same as 10 ft, 7.28 inches
because 127/12 = 10 remainder 7, then we add on the 0.28 portion
1/10=0.1
1/4=0.25
1/5=0.2
2/15=0.13
all together the decimals =0.68
0.68 as a fraction would be 17/25
