Answer:
66
Step-by-step explanation:
Angle 2 and 4 are supplementary, so if angle 4 is 123, then 180-123=57.
So angle 2 is 57.
Then, if angle 2 and 3 are 57 and we know that all angles of a triangle have to add up to 180, then:
57+57+angle 1=180
114+ angle 1=180
angle 1= 66
A. 60mph
B. 12 customers per day
C. 2.5 meters per sec
D. 1.59$ per pound
We divide to find each unit rate.
(e.g 420/7=60)
(360/30=12)(40/16=2.5)(7.95/5=1.59)
Answer:
8/3
Step-by-step explanation:
i put equations as this:
x+40 = y
where x is galllons of pure mixture and y is the gallons of the new mixture
the other equation i id was:
x+0.2(40) = 0.25y
x+8 = 0.25y
y = 4x+32
solve using substitution
(x+40) = 4x+32
x = 4x-8
-3x = -8
x = 8/3
Answer:
Step-by-step explanation:
Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that
1 gallon of gas would be used to drive 392/14 = 28 miles
a) The number of miles traveled varies directly with the number of gallons of gas used.
Let x =number of gallons of gas you use.
Let y = the number of miles travelled.
Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,
y = kx
If 28 miles will require 1 gallon of gas, it means
28 = 1×k
k = 28
So y = 28x
b) we want to determine how far you can drive with 3.7 gallons of gas.
x = 3.7
y = 28x = 28×3.7
y = 103.6 miles