Answer: e = 10
Step-by-step explanation: 9e + 4 = -5e + 14 + 13 e
Now lets bring the variables and numbers on a different side
Remember that when the numbers go to the other side the sign changes
so 4 - 14 = -9e + 13e -5e
-10 = -e
10 = e
if plug in both equations on a graph then you will see that when e = 10 the lines meet at 94.
Step-by-step explanation:
z= 21/12
divide bothside by 12
shekinan
The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is
and similarly, the r% of female is
The number of males decreased by this quantity, so now it is
and the number of female increased by this quantity, so now it is
we know that these two new counts are the same number, so we can build and solve the equality
Subtract 20 and add 0.3r from both sides:
Divide both sides by 0.5 to solve for r:
Let's check the answer
The 20% of 30 is 
, while the 20% of 20 is 4. So, we are stating that 
which is true because both expressions evaluate to 24.
Answer:
10x-15y
Step-by-step explanation:
So, when they say use the distrubutive property, they basically mean turning this:
a(b+c)
Into this:
ab+ac
So in this case, it would be:
5(2x-3y)
And we will turn it into:
10x-15y
ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:
2x*5
=
10x
And
-3y*5
=
-15y
Then we can combine these two:
10x-15y
Hope this helps!
Answer: V = (10.4 mph, 38.6 mph)
Step-by-step explanation:
The velocity is written as (vx, vy)
where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.
In usual notation, the angles are measured counterclockwise from the positive x-axis.
We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)
vx = 40mph*cos(75°) = 10.4 mph
vy = 40mph*sin(75°) = 38.6mph
Then the vector of velocity is V = (10.4 mph, 38.6 mph)
