Answer:
58 miles per hour
Step-by-step explanation:
First you need to divide 80 by 10 to see how many miles she was over the speed limit.
80/10 = 8 miles over the speed limit.
The speed limit was 50, so 50 + 8 = 58 miles.
So Cathy was driving at 58 miles per hour
Answer:
35 is the larger number.
26 is the smaller number.
Step-by-step explanation:
We don't know either number so let one of the numbers be x, the other one can be 9 less (so take away 9) x - 9
These two numbers add up to 61 ("sum" means adding)
x + x - 9 = 61
Combine the x's
2x - 9 = 61
Add 9 to both sides
2x = 70
Divide by two on both sides
x = 35
That's one of the numbers.
x - 9 = 35 - 9 = 26
So the numbers are 35 and 26.
35 is larger.
26 is smaller.
Answer:
It's A.
Step-by-step explanation:
Let's look at option A:
From the second equation y = -10 - x. Substituting in the first equation:
-10 - x = x^2 + 3x - 5
x^2 + 4x + 5 = 0
Checking the discriminant b^2 - 4ac we get 16 - 4*1*5 = -4 so there are no real roots. (A negative discriminant means no real roots).
So A has no real solution.
B.
x^2 + 3x - 5 = (20 - 4x)/5 = 4 - 0.8x
x^2 +3.8x - 9 = 0
b^2 - 4ac = (3.8)^2 - 4*1*-9 = 50.44 (positive) so there are real roots.
C.
x^2 + 3x - 5 = -9 - x
x^2 + 4x + 4 = 0
b^2 - 4ac = 4^2 - 4*1*4 = 0 so there are real roots.
Answer:
192
Step-by-step explanation:
24 * 8 (number of pints in a gallon)
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.
A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.
The dimensions of the original photo is 6 x 6.
