the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\cdot \cfrac{5}{7}\implies \cfrac{12}{7}\cdot \cfrac{5}{5}\implies \cfrac{12}{7}\cdot 1\implies \cfrac{12}{7}\implies 1\frac{5}{7}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B12%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%201%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Cimplies%201%5Cfrac%7B5%7D%7B7%7D)
Ninas graph will always have a steeper slope. And will always be higher on the graph?
9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
Answer:
Length = 12 feet
Width = 30 feet
Step-by-step explanation:
Let l be the length of the garden and let w be the width:
We have system of equations
2w + l = 54
l = 2w + 6
We substitute 2w + 6 for l
2w + 2w + 6 = 54
4w + 6 = 54
4w = 54 - 6
4w = 48
w = 48/4
w = 12 feet
Width(w) = 12 feet
We find the Length
l = 2w + 6
l = 2(12) + 6
l = 24 + 6
I = 30 feet