Answer:
x = 3
Step-by-step explanation:
First, simplify by subtracting 2x from 6x:
6x - 2x + 8 = 20
4x + 8 = 20
Then, solve for x:
4x + 8 = 20
4x = 12
x = 3
So, the answer is x = 3
Answer:
<u>Cities A and B are 1,125 miles apart</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between A and B in the map = 5 inches
Distance between C and D in the map = 4 inches
Actual distance between C and D = 900 miles
2. How many miles apart are cities A and B?
We will solve the question, using Direct Rule of Three, as follows:
Distance in the map Actual distance
A - B 5 inches x
C - D 4 inches 900 miles
***************************************************
4x = 900 * 5
4x = 4,500
x = 4,500/4
x = 1,125 miles
<u>Cities A and B are 1,125 miles apart</u>
Answer:
Step-by-step explanation:
<u>Add:</u>
- 4x² - 2x + 6 + 2x² + 4x - 1 = 6x² + 2x + 5
<u>Subtract:</u>
- 6x² + 2x + 5 - 5x² - 2x + 4 = x² + 9
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
Answer:
The probability is 0.2, or 20%.
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is
N = (number of blue marbles) + (number of green marbles) = 25
and the number of relevant outcomes (marble being green) is n:
n = (number of green marbles) = 5
So, the probability is
P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%
