Answer:
Step-by-step explanation:
7x + (2x+27)=180-> 9x= 180-27 -> x=17
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Answer:
a)2,3,4,5,6
b)-3,-1,1,3,5
Step-by-step explanation:
a) y(-2)=-2+4=2
y(-1)=-1+4=3
y(0)=0+4=4
y(1)=1+4=5
y(2)=2+4=6
b)y=2x+1
y(-2)=2*(-2)+1=-3
y(-1)=2*(-1)+1=-1
y(0)=2*0+1=1
y(1)=2*1+1=3
y(2)=2*2+1=5
Answer:
we have 8 quarts of 40% antifreeze,
according to the britain equivalent, 1 quart = 1.13L
so, we have 8 * 1.13L = 9.04 L
out of the 9.04 L, 40% is antifreeze
amount of antifreeze = 0.4 * 9.04 = 3.616 L
moles of antifreeze present = 3.616/22.4 = 0.16 moles
moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v
<em>(where v is the volume of final solution)</em>
molarity of initial solution = 0.16/9.04 = 0.018 M
molarity of final solution = 0.027*v/v = 0.027 M
m1*v1 = m2*v2
0.018 * 9.04 = 0.027 * v
v = 0.018 * 9.04/0.027
v = 6.026 L
amount if antifreeze in the final solution = 6.026 * 0.027 =
0.163 Moles of antifreeze
amount in L = 0.163 * 22.4 = 3.65 L
amount in quarts = 3.65/1.13 = 3.23 quarts
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.

So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.

So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.