6.5% = 0.065
0.065 x 75 = 4.875
75 + 4.875 = 79.875
The highest price is 79.875
Step 1: Simplify each side, if needed.
Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
Step 3: Use Mult./Div. ...
Step 4: Check your answer.
I find this is the quickest and easiest way to approach linear equations.
Example 6: Solve for the variable.
Hope this helps:)
The answer is A.
We have to find the difference between the cooridants.
1/2-2= -1 1/2 = -3/2
3-3/4 = 2 1/4 = 9/4
We then divide 9/4 by -3/2 (9/4 times -2/3) and we get -18/12 if we divide the top and bottom by 6, we get -3/2.
Answer:
40 bagels
Step-by-step explanation:
Let us assume that the cost of each bagel is $1.25
We need to find how many bagels she can buy for $50.
Let she can buy x bagels.
Hence, she can buy 40 bagels for $50.
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Answer:
(b) k = 3/4
(c) a = 1/13; b = 4/13
Step-by-step explanation:
(b) Parallel to (1, 1) means the two components of the vector are equal. (They have the same ratio as 1 : 1.) Solve by setting the components of the composite vector equal:
p +kq = (1, 4) +k(3, -1) = (1 +3k, 4 -k)
We want ...
1 +3k = 4 -k
4k = 3 . . . . . . . add k-1 to both sides
k = 3/4 . . . . . . divide by 4
__
(c) Same as above: set the components of the composite vector to those of the desired sum.
ap +bq = (1, 0)
a(1, 4) +b(3, -1) = (1, 0)
(a +3b, 4a -b) = (1, 0)
The second component tells us b=4a, so we can use that to find 'a' in the first component:
a + 3(4a) = 1
13a = 1
a = 1/13
b = 4a = 4/13
<u><em>Check</em></u>
(1/13)(1, 4) + (4/13)(3, -1) = (1/13 +12/13, 4/13 -4/13) = (1, 0) . . . as required