Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
Answer:
y=1/2x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(4-2)
m=1/2
y-y1=m(x-x1)
y-3=1/2(x-2)
y=1/2x-2/2+3
y=1/2x-1+3
y=1/2x+2
Answer:
w=1
Step-by-step explanation:
5w+2=2w+5
3w+2=5
3w=3
w=1
Answer: 4
Step-by-step explanation:
The given function :
The average rate of change in a function g(x) from x=a to x=b is given by :-
Then, the average rate of change of the given function from x = 1 to x = 3 will be :-
x = 1 to x = 3 is 4
Answer:
Z-value is what we called the number of standard deviations from the mean. 62% is 8% one standard deviation to the left, or a Z-value of -1. 94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three. You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%
Step-by-step explanation:
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