0, 1/2, -53, and 0.433 all belong in rational category
Answer:
$2.72
Step-by-step explanation:
The increase from last week is the fraction ...
(new price)/(old price) -1 = (1.82/1.65) -1 = 17/165
so the amount of increase Sally will pay this week is ...
17/165×$26.40 = $2.72
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<em>Comment on the working</em>
We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.
If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.
Answer: Incorrect.
Step-by-step explanation: 24 out of 30 is 80.00%.
Step 1: We make the assumption that 30 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 30.
Step 4: In the same vein, x % = 24 .
Step 5: This gives us a pair of simple equations:
100 % = 30(1).
x % = 24(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 30/24
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 24/30
x = 80 %
Answer:
Step-by-step explanation:
K
Answer is y= - 3/4x - 3 1/2
Step by step
We are looking for y = mx + b equation
First we find the two points on the graph
(-6, 1) and (2, -5)
Now we will find slope by finding change in y over change in x
(Y2 - y1) over (x2 - x1)
( -5 -1) over ( 2 - (-6) )
-6 over 8
reduce to -3/4 is slope “m”
Now we can solve for “b”
Substitute one set of points and your slope you just found into the equation
Let’s use ( 2, -5)
y = mx + b
-5 = ( -3/4) (2) + b
-5 = -3/2 + b
Now add 3/2 (same as 1-1/2) to both sides to isolate “b”
-5 + 3/2 = -3/2 + 3/2 + b
-3 1/2 = b
Now we have y= -3/4 - 3 1/2 for your equation!
Problem solved.
