Answer:
(x, y) = (-4, 4)
Step-by-step explanation:
You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.
Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.
(7x +6y) -(4x +6y) = (-4) -(8)
3x = -12 . . . . simplify
x = -4 . . . . . . divide by 3
Now, you can substitute this into either equation to find y.
4(-4) +6y = 8
6y = 24 . . . . . . . . add 16
y = 4 . . . . . . . . divide by 6
The solution to this system of equation is ...
Answer:
12 is how many pound of almonds there are. 6 is how many bags. 2 is how many almons there are in one bag for Tyler. For Clare is 12 almonds when there are 2 bags and there are 6 almonds in each bag.
Step-by-step explanation:
Answer:
All three sides of the triangle are different lengths.
Step-by-step explanation:
hope this helps :)
Pythagorean Theorem: a^2 + b^2 = c^2
a = 6
c = 9
b = ?
6^2 + b^2 = 9^2
36 + b^2 = 81
b^2 = 81 - 36
b^2 = 45
b = sqrt(45)
b = 6.71 miles
We know that:
Mean = 82 mm and SD = 10 mm ( standard deviation )
82 - 3 * SD = 82 - 3 * 10 = 82 - 30 = 52 mm
82 + 3 * SD = 82 + 3 * 10 = 82 + 30 = 112 mm
Population between 52 and 112 mm is within +/- 3 standard deviations from the mean.
By the 66- 95 - 99.7 % rule it is: 99.7% of the test group.
0.977 * 500 = 498.5
Answer:
99.7 % of the test group have a diastolic pressure between 52 and 112 mm, or 498 men.
