The mistake is made in the second step. The correct steps are given below.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Wilma estimates that she’ll drive about 18,000 miles during the year.
The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.
Locate the error in her calculations, and select the correction.
Step - 1
18000 miles/year
18000 miles / 12 months = 1500 miles/month
Step 2
1500 miles/month
1500 miles/month / 24 miles per gallon = 62.5 gallons/month
62.5 gallons/month
Step 3
(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month
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Brenda ran 33 miles as it is 14 +19 which equals 33
Answer:(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
Since vertical angles are equal, we can set these two expressions equal to each other to solve for x:
(1/2)x + 12 = (3/4)x + 8
12 = 0.25x + 8
4 = 0.25x
16 = x
Subtract to find the amount of tax paid then divide the amount of tax paid by the price of the item bought.
7.61 - 6.95 = 0.66 (amount of tax paid)
0.66/6.95 = 0.0949 x 100 = 9.49 %
Answer: 9.49 % (round off as needed)