Answer:
<B = 70°
Step-by-step explanation:
First we need to find x, lets plugin these two equations.
2x - 30 = x + 20
Then find like terms
2x = x + 50 =
x = 50
Then we plugin 50 for x
2(50) - 30 =
100 - 30 = 70
<B = 70°
Answer:
8 laps
Step-by-step explanation:
You can simply add up the number of laps:
(1st student laps) + (2nd student laps) +(3rd student laps) +(4th student laps)
= 2 laps + 2 laps + 2 laps + 2 laps
= 8 laps . . . . total for the 4 students
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Many people find it tedious to add the same number over and over, so they make use of the invention of multiplication. If you want to add 4 twos, you can simply multiply 4 times 2 to get the result.
total laps = (laps/student) × (number of students)
= (2 laps/student) × (4 students) = 8 laps
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<em>Additional comment</em>
May people look at this and say "word problem!" and then turn off their brain and go into a state of shock.
It is more productive to read the words, and use your imagination to visualize the scenario and what the question is asking. If you imagine 4 team members standing at the starting line and anticipating running 2 laps (each), the total number of laps should be so obvious that you don't even have to think about how you arrived at the solution.
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
The correct answer is that the variability is 2.0 times as large.
In the first set, the MAD is 1.2.
In the second set, the MAD is 0.6.
Dividing 1.2 by 0.6 gives us a factor of 2.
Answer:
The missing number is either 1 or 2.
1/6 and 2/6 are both less than 1/2.