Answer: 17 nickels, and 8 dimes.
Step-by-step explanation:
So Miles has 25 coins in his pocket, Suppose that x is the number of nickels, and y is the number of dimes, then we have that:
x + y = 25
And we also know that the total value is $1.65
Then we have that:
x*0.05 + y*0.10 = 1.65
Then we have a system of equations:
x + y = 25
x*0.05 + y*0.10 = 1.65
The first step is isolating one of the variables in one of the equations, i will isolate x in the first one.
x = 25 - y
Now we can replace that in the second equation:
(25 - y)*0.05 + y*0.10 = 1.65
Now we solve this for y.
25*0.05 - y*0.05 + y*0.10 = 1.65
1.25 + y*(0.10 - 0.05) = 1.65
y*0.05 = 1.65 - 1.25 = 0.40
y = 0.40/0.05 = 8
So Miles has 8 dimes.
And:
x + y = 25
x + 8 = 25
x = 25 - 8 = 17
And Miles has 17 nickels.
1. C) 40k + 40l (Multiply 40 by each of the factors in the parentheses and show as an addition expression.)
2. C) -4 (Divide the two numbers.)
3.D) -3
Answer:
The area of the circle is 28.274 inches squared
Step-by-step explanation:
First find the radius by dividing 6 by 2
6/2=3
Now plug in 3 to the area of a circle formula
=28.274
The area of the circle is 28.274 inches squared
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<u>Answer:</u>
Cost of package of paper = 4$
Cost of stapler = 7$
<u>Explanation:</u>
Consider the cost of package of paper = x and that of stapler = y.
Now, we are given that cost of 3 paper packages and 4 staplers = 40$
Hence we get, 3x + 4y = 40 as 1st equation.
we are also given, cost of 5 paper packages and 6 staplers = 62$
Hence, the second equation is 5x + 6y = 62
Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->
15x + 20y = 200
15x + 18y= 186
Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4
which gives the required cost of one paper package = x = 4$
and one stapler = y = 7$
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4
Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2