Answer:
14
Step-by-step explanation:
Combine like terms:
8+6=14
Answer:
(3,0)
Step-by-step explanation:
The x-intercept of the line is where the line crosses the x-axis and the y-value is 0.
This line has a slope of
This means that when -32 becomes -32+8=-24 then its x-value is -9+3 = -6.
Continue this pattern until the y value is 0.
-32+8 = -24 and -9+3 = -6
-24+8 = -16 and -6+3 = -3
-16 + 8 = -8 and -3+3=0
-8+8=0 and 0+3 = 3
The x intercept is (3,0).
Let us say that:
a = ones
b = fives
c = twenties
So that the total money is:
1 * a + 5 * b + 20 * c = 229
=> a + 5b + 20c = 229 -->
eqtn 1
We are also given that:
c = a – 5 -->
eqtn 2
a + b + c = 30 -->
eqtn 3
Rewriting eqtn 3 in terms of b:
b = 30 – a – c
Plugging in eqtn 2 into this:
b = 30 – a – (a – 5)
b = 35 – 2a -->
eqtn 4
Plugging in eqtn 2 and 4 into eqtn 1:
a + 5(35 – 2a) + 20(a – 5) = 229
a + 175 – 10a + 20a – 100 = 229
11a = 154
a = 14
So,
b = 35 – 2a = 7
c = a – 5 = 9
Therefore there are 14 ones, 7 fives, and 9 twenties.