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harmonywilliams3064
08.07.2019 •
Mathematics
Dan opened up his piggy bank and found a total of thirty-five coins, made up of nickels, dimes, and quarters. if he has five more nickels than dimes and a total of $6, how many of each coin were in his bank?
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Ответ:
0.05n + 0.10d + 0.25q = 6
n = d + 5
n + d + q = 35
0.05n + 0.10d + 0.25q = 6multiply by -4
n + d + q = 35
-0.20n - 0.40d - q = - 24 (result of multiplying by -4)
add
0.80n + 0.60d = 11
0.80(d + 5) + 0.60d = 11
0.80d + 4 + 0.60d = 11
1.40d = 11 - 4
1.40d = 7
d = 7 / 1.40
d = 5 < there are 5 dimes
n = d + 5
n = 5 + 5
n = 10 < there are 10 nickels
n + d + q = 35
10 + 5 + q = 35
15 + q = 35
q = 35 - 15
q = 20 <=== there are 20 quarters
Ответ:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is:![Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))](/tpl/images/1037/8663/8ec95.png)
We have:![x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5](/tpl/images/1037/8663/3802f.png)
Putting values and finding area
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15