Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a h
1 answer:
So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.
To get from 5 to 18, you multiply by 3.6.
Do the same thing to the numerator; 32 × 3.6 = 115.2.
Since 0.2 marbles is no marbles, you round down.
There are 115 marbles in the box.
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Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As,
So, time for running=
And time for riding=
Equation becomes:
Now, multiply every term by 2x(x+9) to clear denominators:
Simplifying it we get
Solve the quadratic equation using formula
putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph
ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;
This implies that
Divide both sides by 4 to get;
|WY|=|ZX|=13-3=10