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
When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.
Answer:
Step-by-step explanation:
Given
there are six integers to win a lottery
case-1 Integer not exceeding 40
no of ways to choose 6 incorrect numbers
Case-2 no of ways to choose 6 incorrect numbers out of 48 integers
Case-3 no of ways to choose 6 incorrect numbers out of 56 integers
Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers
Check picture below, solve for "x" and "y"
unless you've already covered the 30-60-90 triangle, then check your book on them, to see the ratios, using the 30-60-90 ratios is simpler
This would depend on what you are asking for.
If you are adding the two numbers(which the word and is implying) you’re answer is 25 1/4.
You get this by finding a common denominator. In this case, that can be 4.
Turn 1/2 in to 2/4.
Next, you add 11 and 13 to get 24.
Then, you’ll add 2/4 and 3/4. You will get 1 1/4
Add 24 and 1 1/4. You have your answer of 25 1/4
