Answers:
16. 6-x= 10
move +6 to the other side
sign changes from +6 to -6
6-6-x= 10-6
-x= 4
Mutiply both sides by -1
(-1)(-x)= (-1)(4)
x= -4
17. 4a+3= -9
move +3 to the other side
sign changes from +3 to -3
4a+3-3= -9-3
4a= -12
divide both sides by 4
4a/4= -12/4
a= -3
Answer:
Find how much she will be paid per mile to make it easier.
.25 * 4 = 1
.90 * 4 = 3.60
Now you know she earns 3.60 per mile, multiply that by 7.
3.60 * 7 = $25.20 total.
subtract the fee from the total to get the amount actually spent on songs
23.80-7 = 16.80
divide that amount by price per song to get number of songs downloaded
16.80 /0.20 = 84 songs
If m(slope)=3, you can start to set up the equation as y=3x+b.
Using y=3x+8, you can plug in the given point being (8,5).
y=5
x=8
5=(3*8)+b
5=24+b
b=-19
The equation would be y=3x-19
We let x and y be the measures of the sides of the
rectangular garden. The perimeter subtracted with the other side should be
equal to 92.
<span> 2x + y = 92</span>
The value of y in terms of x is equal to,
<span> y =
92 – 2x</span>
The area is the product of the two sides,
<span>
A
= xy</span>
Substituting,
<span> A
= x (92 – 2x) = 92x – 2x2</span>
Solving for the derivative and equating to zero,
<span> 0
= 92 – 4x ; x = 23</span>
Therefore, the area of the garden is,
<span> A
= 23(92 – 2(23)) = 1058 yard<span>2</span></span>
