If the CAT operates with a constant speed of 53 mph (which means it beats 53 miles in one hour) and makes a trip in about 2 and 1/2 hours, we just have to multiply 53 by 2 1/2 to find out the overall distance it's beating in that time:
53 * 2 1/2 =
= 53 * 2.5 =
= 132.5
Answer: City A is about <u>132.5 miles</u> from city B.
Answer:
14 cm^2
Step-by-step explanation:
You find the area of both triangles, and subtract by 4
6x3x1/2x2 - 2x2
18 - 4
14
Answer:
I think you forgot part of the question
Step-by-step explanation:
Option A:
The probability that Everett and Finley end up with an even number and a blue disk is 
.
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3
Divide numerator and denominator by the common factor 3.
Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is .
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).
15*-4 = -60
Now we need to split the b term into two pieces that multiply to -60 and add to 4.
-6 and 10 will work.
Now group one part of b with the 15x^2 and the other part with -4.
(15x^2 + 10x) + (-6x - 4)
Now factor both terms.
5x(3x+2) - 2(3x+2)
3x+2 is one of our factors and 5x-2 is the other.
(3x+2)(5x-2)=0
Now just find the zeros.
3x+2 = 0
3x = -2
x = -2/3
And
5x-2 = 0
5x = 2
x = 2/5
So the answer is x = -2/3 and x = 2/5
