bearing in mind that an absolute value expression is in effect a piece-wise expression, because it has a ± version.
![\bf 3|x|+7=28\implies 3|x|=21\implies |x|=\cfrac{21}{3}\implies |x|=7\implies \begin{cases} +(x)=7\\ -(x)=7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(x)=7\implies \boxed{x=7}~\hfill -x=7\implies \boxed{x=-7}](https://tex.z-dn.net/?f=%20%5Cbf%203%7Cx%7C%2B7%3D28%5Cimplies%203%7Cx%7C%3D21%5Cimplies%20%7Cx%7C%3D%5Ccfrac%7B21%7D%7B3%7D%5Cimplies%20%7Cx%7C%3D7%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%28x%29%3D7%5C%5C%20-%28x%29%3D7%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%2B%28x%29%3D7%5Cimplies%20%5Cboxed%7Bx%3D7%7D~%5Chfill%20%20-x%3D7%5Cimplies%20%5Cboxed%7Bx%3D-7%7D%20)
Answer:
The number of carpets cleaned by new company per week is 249
Step-by-step explanation:
Let us assume :
The number of carpets cleaned by old company in 1 week = m
So, the number of carpets cleaned by new company in 1 week
= 3 x ( Number of carpets cleaned by old company)
= 3 (m) = 3 m
Total carpet cleaned altogether in a week = 332
So, Total Carpets cleaned by both companies in 1 week
= Number of carpets cleaned by ( Old + New) company in 1 week.
= m + 3 m = 4 m
⇒ 4 m = 332
or, m = 332 / 4 = 83 , or m = 83
Hence number of carpets cleaned by old company per week = m = 83
The number of carpets cleaned by new company per week
= 3 m = 3 x 83= 249
240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96
the answer is 96 egg salad sandwiches
Answer:
h = -5*t +800
Step-by-step explanation:
The initial value is 800 ft
She is falling at a rate of 5 ft per second
That would be -5ft/s
We can write this in the form
y = mx+b
h = -5*t +800 where t is the number of seconds and h is the height above ground
