Answer: y=5x+7
Step-by-step explanation:
If you draw a graph or use a graphing calculator the points and then connect them you will see that the y-intercept is 7 and the slope is 5/1. Slope intercpt form is y=mx+b. So the equation is y=5x+7.
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
One factor of 12 is 2. The other factors of 12 are 3, 4, and 6.
Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
Step-by-step explanation:
Let P be the initial amount she invested in an account that pays 6% interest.
Then, amount invested in other account = 2P
Simple interest = Principal x rate x time
After one year, for the first account,
Interest = P(0.06)(1) = 0.06P
For second account,
Interest = (2P)(0.07)(1)=0.14P
Total interest = 

2P = 2(5000)=10000
Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.