Answer:
Step-by-step explanation:
Solve for :
-Use <u>Distributive Property</u>:
-Combine like terms:
-Subtract from :
-Add on both sides :
-Take divide it on both sides of the equation:
Therefore, the value of is .
Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour
Hey!
~Set up the equation: -5(x-1)=40
~ Divide 5 on both sides: 40/-5
~ Simplify: x-1=-8
~ We want to get x by itself, so subtract +1 to both sides.
~ Simplify: x = -7
~ Therefore, x = -7.
Answer:
For question 20.
Pamela: y = 20h
y = 20(40)= $800
John: y = 65p
y = 65(11)=<u> $675</u>
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And for question 21.
660,000*63%=660,000*0.63=415,800
There are currently <u>415,800</u> gallons of water in the pool.
Step-by-step explanation:
<u>Btw, Underlined numbers are the answers! </u>
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<u>Hope it helps! <3</u>
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 3x - 7y = 42
7y = 3x - 42
y = 3/7 x - 6; Hence m1 = 3/7
m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
y - (-8) = -7/3(x - (-3))
y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15