Yo has to distribute and add like terms
distributeiv propoerty
a(b+c)=ab+ac aka
a(b-c)=ab-ac
5(4n-11)-3n+20=17n-35
distribuet
5*4n=20n
5*11=55
20n-55-3n+20=17n-35
move like terms together
20n-3n+20-55=17n-35
20-3=17
20-55=35
17n-35=17n-35
true
As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.
Direct variation:
Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.
Direct variation equation: y = kx
Given,
A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.
Here we need to estimate how many hours it would take the restaurant to earn $25,000.
a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.
I = kh ⇒ Direct variation equation
Solve for k:
9,000 = (k)(4)
k = 9,000/4
k = 2,250
b) When income (I) = 25,000, find the number of hours:
I = kh
25,000 = (2,250) (h)
h = 25,000/2,250
h = 11.11
It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.
To know more about Direct variation here.
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The formula you should use is Area = 1/2bh, in other words, area equals half times base times height. Now, substitute everything in, the equation should now be 221.16 = 1/2*b*29.1. This simplifies into 221.16 = 14.55b, now divide 14.55 on both sides, which leaves us to 15.2 = b. However, don't forget the units, which the answer (length of base) should be 15.2 in.^2.
Answer: 15 miles
Step-by-step explanation:
The equation is 5.25+1.25x=24 where x is each additional mile so to solve for x it would be 1.25x=18.75 and divide both sides to solve for x
Step-by-step explanation:
y - 3 = -1(x- -2)
y-3 = -x -2
Y = -x +1
