D....the empty weight is 160gr
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:
Step-by-step explanation:
Метод
сложных процентов:
S = 100 (1+
0,10/2)^2*2 = 100*1,2155
= 121,55
ΔР = 121,55
– 100 = 21,55 тыс. руб.
Answer:
Step-by-step explanation:
Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...
0.25q +0.10(8-q) = 1.25
0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses
0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80
q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15
the number of dimes is 8-q = 8-3 = 5.
Jill has 3 quarters and 5 dimes.
Answer:
The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.
Step-by-step explanation:
P = 36in // perimeter of triangle
P = A + B + C //equation for perimeter of a triangle
A = B or B = A //Showing that two sides are equal in length
A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side
C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side
Solve for C //First we solve for the shortest side as it's easiest
36 = A + B + C
36 = 2C + 2C + C //Use substitution for A and B
36 = 5C
C = 7.2in
Solve for A
A = 2C
A = 2(7.2) //Use what we solved for C
A = 14.4in
Solve for B
B = A
B = 14.4in //Same as A
Check Work
P = A + B + C
P = 14.4 + 14.4 + 7.2
P = 36
