Answer:
a) 91 1/6 gallons
b) 2502 miles
Step-by-step explanation:
You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...
(261 mi)/(14.5 gal) = 18 mi/gal
We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:
a) 1641 miles/(gallons) = 18 mi/(1 gal)
Multiplying by gallons and dividing by 18 mi/gal, we get
1641/18 gal = (gallons) = 91 1/6 gal
It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.
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b) Same deal, but the miles are unknown.
(miles)/(139 gal) = (18 mi)/(1 gal)
Multiplying by 139 gal gives ...
(18 mi)·139 = (miles) = 2502 mi
139 gallons of gasoline will let Mary drive 2502 miles.
Answer:
B. Parallel
Step-by-step explanation:
Equation 1 simplified: y = 3x+7
Equation 2 simplified: y = -x/3-3
The slopes are completely different, ruling out the possibility of the lines being parallel.
But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.
Answer:
x=76
Step-by-step explanation:
The two marked angles are alternate angles, which means they're equal.
Answer:
Slope = 0.06
Step-by-step explanation:
From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.
Slope in this scenario will be the rate of change in price of milk with respect to time.
Slope = ∆P/∆t
The standard equation will be expressed as P = mt+c where
m is the slope
t is time
P is the price of milk.
Comparing this with the given model
P(t)=0.06t+2.52
On comparison, we can see that;
m = 0.06
Hence the slope of the expression is 0.06
