Answer: 6 points
Work:
15/100=0.15
40•0.15=6
The answer is 4. you distribute the negative to make a positive sign and then add
Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
Answer:
87.92 inches cubed or 87.92 in.^3
Step-by-step explanation:
The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:
area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches
again,
volume of cylinder = area of the base * the height
= 12.56 * 7
= 87.92 inches cubed or 87.92 in.^3
Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.
Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.
A percentage is a dimensionless (pure) number; it has no unit of measurement.
The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.
Let the total number of kids in the camp be x.
The number of kids who took archery = 25%
But 50 students took archery.
hence 25% of x = 50
Solving we infer:
x = 200
Therefore there are 200 kids in the camp.
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