Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
A hypothesis. A hypothesis is an educated guess, and the person is assuming that it rained.
Function 2 has greater rate of change
Step-by-step explanation:
In order to find the rate of change we have to covert the given linear functions in slope-intercept form
<u>Function 1:</u>
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Adding 2x on both sides
<u></u>
<u></u>
Dividing both sides by 5
<u></u>
<u></u>
Let m1 be rate of change of function 1:
<u></u>
<u></u>
<u></u>
<u>Function 2:</u>
<u></u>
<u></u>
Adding 6x on both sides
<u></u>
<u></u>
Dividing both sides by 3
<u></u>
<u></u>
Let m2 be the slope of function 2
<u></u>
<u></u>
As we can see that
<u></u>
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Function 2 has greater rate of change
Keywords: Linear functions, slope
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