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
Answer:
AC = AB + BC
18 = (2X - 4) + (3X + 2)
18 = 5X - 2 ( add/subtract like terms)
20 = 5X (-2 take over otherside - 18 + 2)
X = 4
SUB X INTO AB AND BC
AB = 2(4) - 4 = 4
BC = 3(4) + 2 = 14
so, 25 whole watches and hmmmm just the wristband of another maybe.
The answer is "quadrant II" because first u go five left because of the negative five which is on the x axis then go up 10 because of the positive 10 which on the y axis
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem:
![\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%209%2C7%5E2%20%2B%20b%5E2%20%3D%2013%2C3%5E2%3B%20%5Csqrt%7B82%2C8%7D%20%3D%20%5Csqrt%7Bb%5E2%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7B3%5Csqrt%7B230%7D%7D%7B5%7D%5C%3A%5Bor%5C%3A9%2C0994505329...%5D%20%3D%20b)
So, you have this:
I am joyous to assist you at any time.
