Answer:
![\Huge\boxed{x](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7Bx%3C-%5Cfrac%7B1%7D%7B4%7D%7D)
Step-by-step explanation:
Hello there!
The first thing we want to do is find the least common denominator which would be 20
so we multiply the denominator and numerator of the fractions on the left side by 4
3x4=12
5x4=20 -12/20x
1x4=4
5x4=20 so now we would have
![-\frac{12}{20}x+\frac{4}{20} >\frac{7}{20}](https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B20%7Dx%2B%5Cfrac%7B4%7D%7B20%7D%20%3E%5Cfrac%7B7%7D%7B20%7D)
once again we want to isolate the variable using inverse operations
to get rid of the 4/20 we subtract each side by 4/20
![\frac{7}{20} -\frac{4}{20} =\frac{3}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B20%7D%20-%5Cfrac%7B4%7D%7B20%7D%20%3D%5Cfrac%7B3%7D%7B20%7D)
now we have
![-\frac{12}{20} x>\frac{3}{10}](https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B20%7D%20x%3E%5Cfrac%7B3%7D%7B10%7D)
now we want to get rid of the -12/20
to do so we divide each side by -12/20 (or -.6 as a decimal to make it easier)
![\frac{3/20}{-.25}=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2F20%7D%7B-.25%7D%3D-%5Cfrac%7B1%7D%7B4%7D)
REMEMBER flip the equality sign
we're left with
![x](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B4%7D)
5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes
How many pages in an hour?
well, an hour has 60 minutes
Let's write a proportion
11/2 / 12 = x/60
cross multiply
(11/2 * 60) = 12x
330 = 12x
divide both sides by 12
27.5 or 27 1/2 = x
27.5 pages per hour.
Hope this helps
Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.
If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.
Please see picture for work.
Answer: 6√2
Step-by-step explanation:
8 × 9 is 72.
8 can be simplied to 4 × 2.
And 4 can be simplified to 2 × 2.
So far there are three 2s and a 9.
9 can be simplified down to 3 × 3.
Theres a pair of 2s and a pair of 3s, so you multiply 2 × 3 and thats 6 so you put 6 on the outside of the radical. Theres one 2 leftover from all the simplifying so that goes inside the radical to give you 6√2
The hint says that volume of a rectangular solid = l*w*h, where l = length, w = width, and h = height. Use this to solve for the height of the solid by plugging in the numbers you know.
You know that length, l = 2cm, width, w = 8cm, and, *EDITED* volume = 160 cm^3. Plug these values into the equation for volume (the hint) and solve for h, the height:
Volume = lwh
160 = (2)(8)(h)
160 = 16h
h = 10cm
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Answer: The height is 10 cm