Answer: She now has $64 in the bank.
Step-by-step explanation:
Amount of money in bank account = $54
amount refunded by a store = $10
Total amount of money in bank =Amount of money in bank account + amount refunded by a store= $54+ $10 =$64
Answer:
586.5 ft.
Step-by-step explanation:
Find the Perimeter of the gym which is a rectangle. Formula is 2 (L+W) so,
2(65.5+32.25) = 195.5ft then multiply by 3 times around the perimter of the gym
(195.5 x3= 586.5 ft)
Your diagram doesn't clearly define what values correspond to what, can you explain.
The equation can be used to determine t, the weight of the textbooks is t = 0.7w
Given:
let
Total weight = w
Weight of notebook = n
Weight of backpack = b
Weight of textbook = t
w = n + b + t
where
n = 4 pounds
b = 2 pounds
t = 0.7w
So
w = 4 + 2 + 0.7w
w - 0.7w = 4 + 2
0.3w = 6
w = 6/0.3
w = 20
Recall,
t = 0.7w
= 0.7(20)
= 14 pounds
Therefore, the weight of the textbook is 14 pounds
Learn more about equation:
brainly.com/question/4916384
Answer:
![4(x+0.5)^2+4y^2=49](https://tex.z-dn.net/?f=4%28x%2B0.5%29%5E2%2B4y%5E2%3D49)
Step-by-step explanation:
Since the diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0), the diameter lies on the x-axis.
The midpoint of the ends of the diameter gives the center of the circle.
![(\frac{3+-4}{2},\frac{0+0}{2} =(\frac{-1}{2},\frac{0}{2})=(-0.5,0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%2B-4%7D%7B2%7D%2C%5Cfrac%7B0%2B0%7D%7B2%7D%20%20%3D%28%5Cfrac%7B-1%7D%7B2%7D%2C%5Cfrac%7B0%7D%7B2%7D%29%3D%28-0.5%2C0%29)
The radius of this circle is the distance from the center to one of this points on the circumference.
![r=|3-0.5|=3.5](https://tex.z-dn.net/?f=r%3D%7C3-0.5%7C%3D3.5)
The equation of the circle is given by ![(x-a)^2+(x-b)^2=r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%2B%28x-b%29%5E2%3Dr%5E2)
where (a,b)=(-0.5,0) is the center and r=3.5
We substitute to get:
![(x--0.5)^2+(y-0)^2=3.5^2](https://tex.z-dn.net/?f=%28x--0.5%29%5E2%2B%28y-0%29%5E2%3D3.5%5E2)
The standard form equation is ![4(x+0.5)^2+4y^2=49](https://tex.z-dn.net/?f=4%28x%2B0.5%29%5E2%2B4y%5E2%3D49)