Answer:
$275
Step-by-step explanation:
So she put $60 into savings....
X is the amount of her paycheck...
after buying the clothes she had X-75
She spend (2/5)(x-75) on books
The amount deposited into saving and spent on groceries totals 120.
So
X = 75 + (2/5)(x-75) + 120
X = (2/5)(X-75) + 195
X = (2/5)X - 30 + 195
X = (2/5)X + 165
(3/5)X = 165
X = 165*5/3 = 5*55 = 275
Starts with 275
spent 75 on clothes, which makes it 200.
2/5 of 200 is 80, which makes it 120.
60 deposited into savings and 60 on groceries
Her paycheck was 275
Here is the solved answer for this question
Examine the information, verify the conjecture, make a new conjecture
The surface area of a cylinder includes the area of two circle bases as well as the tube connecting the bases.
Let's start with the circles. The area is pi*r^2.
pi*3^2 = 9pi
If we were to flatten a cylinder, this tube would actually be a rectangle with a length equal to the circumference of the circle. The circumference of a circle is 2pi*r.
So the rectangle has an area of 7*(2pi*3) = 42pi
There are two circular bases, so the surface area is:
2(9pi) + 42pi = 60pi
Or 60*3.14 = 188.4
As we can see from the picture, half of the picture is 8 + 16
8 + 16= 24
We know the total circle is 48
We know that n +2 + n +8 must equal 24
first lets add what we know
8 + 2= 10.
Subtract that from 24
24-10= 14
that means all we have left is n + n, which must equal 14
we know that n + n would be the same as 2 times n
14/2= 7
each n equals 7
So, N equals 7
Hope I helped!
~ Zoe
