Answer:
x = -11
Step-by-step explanation:
-33/3
Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
Answer:
75 cm
Step-by-step explanation:
To find the area of a traingle you use the following equation
b*h*.5
We know that the height of the triange is three times the base and that the area is 937.5
This means that
b*3b*.5=937.5
We can combine this and get 1.5b^2=937.5
We can then divide by 1.5 to get b by itself
b^2=625
Then take the square root for our answer and get b=25 (while be also can be -25 it doesn't make sense to have a negative answer in the context of this problem)
So we know that b=25 and that h=3b which means that the height is 75 cm
The expression given is
The sum of the expression will be,
The sum will be
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
