Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 2

Putting y=3.5 in Eqn 1

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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F(x)= -8x²
f(-3)= -8* (-3)²
f(-3)= -8 * 9
f(-3)= -72
Step-by-step explanation:
Rate of change = final - initial / time(in years)
= 41 - 43 / 2014 - 2012
= - 2 / 2
<u>Rate of change</u> = <u>- 1</u>
Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.
8,192 because
1 on 1
2 on 2
4 on 3
8 on 4
16 on 5
32 on 6
64 on 7
128 on 8
256 on 9
512 on 10
1024 on 11
2048 on 12
4096 on 13
8192 on 14
If you change the fractions into decimals, 5/6=.83, 2/3=.67, 3/4=.75, you can see that 2/3 is the shortest