The standard form of the equation of circle is:
(x – h)^2 + (y – k) ^2 = r^2
Where the center being at the point (h, k) and the radius
being r
Substituting the values to the equation:
<span>(-15 - (-7)) ^2 + (y – (-1)) ^2 = 13^2 </span>
64 + (y +1) ^2 = 169
(y +1) ^2 = 105
y + 1 = 10.247
<span>y = 9.247</span>
Answer: 9 energy drinks and 18 granola bars.
Step-by-step explanation:
Price per granola bar = $0.50
Price per energy drink = $2.
We can define G as the number of granola bars that she bought, and D as the number of drinks that she bought.
Then
"She buys twice as many granola bars as energy drinks."
G = 2*D
" If she spends $27 in total"
G*$0.50 + D*$2 = $27
So we have a system of equations:
G = 2*D
G*$0.50 + D*$2 = $27
The first step will be to replace the first equation into the second one, and solve it for D.
(2D)*$0.50 + D*$2 = $27
D*(2*$0.50) + D*$2 = $27
D*$1 + D*$2 = $27
D*$3 = $27
D = $27/$3 = 9.
So she bought 9 energy drinks, and we know that:
G = 2*D
G = 2*9 = 18
She bought 18 granola bars.
The enclosing boundary of a curved geometric figure, especially a circle.
Answer:
5%
Step-by-step explanation:
<u>price after discount :</u>
9 600 - 9 600×40%
= 5760
<u>Original price (price without profit) :</u>
let x be the original price of the device.
x + x × 20% = 5760
Then
x = (5 760×100)÷120
= 4 800
<u>Original price increased by 30% :</u>
4 800 + 4 800×30%
= 6 240
<u>the discount needed to increase the profit by 10% :</u>
[(9 600-6 240)÷9 600]×100
= 35%
Then
to increase the profit by 10% ,we have to reduce
the percent of discount to :
40% - 35%
= 5%
Answer:
J
Step-by-step explanation:
- The answer is natural then whole integers and ratiinal
