U can show your work by underlining what your rounding and showing which place it is it the right of it but there is no mathematical work
If 1 inch = 2.5 yards then
x inch = 80 yards
cross multiplying we have:
80 × 1 = x × 2.5
x = 80÷ 2.5 = 32 inches
therefore the picnic area is 32 inches in the drawing.
(0,-2)(- 2,1)....I found 2 whole number sets of points
slope = (y2 - y1) / (x2 - x1)
(0,-2)....x1 = 0 and y1 = -2
(-2,1)...x2 = -2 and y2 = 1
now we sub
slope = (1 - (-2) / (-2 - 0) = (1 + 2) / -2 = -3/2...this is ur slope
the y intercept is where the line cross the y axis...and it is -2 or (0,-2)...this is one way to find it....there is another way that I will show u later in the problem
y = mx + b
slope(m) = -3/2
u can use either of ur points (-2,1)...x = -2 and y = 1
now sub and find b, the y intercept
1 = -3/2(-2) + b
1 = 3 + b
1 - 3 = b
-2 = b .......this is the other way to find the y int.
so ur equation is : y = -3/2x - 2.....and in y = mx + b form, the slope is in the m position and the y int is in the b position
to find the x intercept, take ur equation, sub in 0 for y and solve for x...or u could look at ur graph and see where the line crosses the x axis...but in this problem that would not be easy because it is not a whole number
y = -3/2x - 2
0 = -3/2x - 2
3/2x = -2
x = -2 / (3/2)
x = -2 * 2/3
x = -4/3 or (-4/3,0)
u could also find the y int by subbing in 0 for x and solving for y
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures