Answer:
see explanation
Step-by-step explanation:
(1)
= 
( cross- multiply )
6p = 8 ( divide both sides by 6 )
p = 
= 
(2)
= 
( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = 
(3)
= 
( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = 
Twice (2 times) the difference (subtraction) of a number (y) and 7 equals 3.
2*(y-7) = 3
hope this helps :)
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
Answer:
y=88 x=42
Step-by-step explanation:
Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
