Answer:
580 is spent on onions and potatoes
Step-by-step explanation:
The grocery store ordered 47 bags of onions, and 1 bag costs 2.
It also ordered 167 bags of potatoes, and the bag costs 3.
47 bags onions X 2 render 94
162 bags potatoes X 3 render 486
94 (cost of onions) + 486 (cost of potatoes) = 580
The answer to the question is 20.55
He will not need to pay a shipping fee because 12*9.75 is more than $100.
Answer:
![r(s(3))=7](https://tex.z-dn.net/?f=r%28s%283%29%29%3D7)
Step-by-step explanation:
we have
![r(x)=x^{2} +2x-1](https://tex.z-dn.net/?f=r%28x%29%3Dx%5E%7B2%7D%20%2B2x-1)
![s(x)=x-1](https://tex.z-dn.net/?f=s%28x%29%3Dx-1)
we know that
The function composition is equal to
(r ∘ s )(x) = r(s(x))
In the function r(x) substitute the variable x by the function s(x)
so
![r(s(x))=(x-1)^{2} +2(x-1)-1](https://tex.z-dn.net/?f=r%28s%28x%29%29%3D%28x-1%29%5E%7B2%7D%20%2B2%28x-1%29-1)
For x=3
substitute the value of x=3 in the function composition
![r(s(3))=(3-1)^{2} +2(3-1)-1](https://tex.z-dn.net/?f=r%28s%283%29%29%3D%283-1%29%5E%7B2%7D%20%2B2%283-1%29-1)
![r(s(3))=(2)^{2} +2(2)-1](https://tex.z-dn.net/?f=r%28s%283%29%29%3D%282%29%5E%7B2%7D%20%2B2%282%29-1)
![r(s(3))=4+4-1](https://tex.z-dn.net/?f=r%28s%283%29%29%3D4%2B4-1)
![r(s(3))=7](https://tex.z-dn.net/?f=r%28s%283%29%29%3D7)
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2