Answer:
$720
Step-by-step explanation:
First tutor = 30 x 10 = $300
Second tutor = 30 x 14 = $420
Total = 420 + 300 = $720
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:

Square both sides of the equation.


Hi! I know for sure that a and d are equivalent to the expression which is not what you are looking for. This is because 11 times 8 gives you the 88 on a and if you multiply the 5 also by 8 you get 40 so a is not the answer. The reason I multiply both by the same number and got the equivalency is because, "What you do to one side, you do to the other." Same thing with d. My answer would be B because you can't change the variable to a different number. You can't just give the five the y and make it mean the same. The answer is B.
Answer:
y=-9
Step-by-step explanation:
-3(y+2)=21
1st Open parenthesis
-3y-6=21
+6 +6
-3y=27
/-3 /-3
y=-9