$140 dollars,
Using the equation (1/2)J/7=x. J=Jeremy's total money.7 because it was divided into 7 piles. Then, since 6 piles are blown away, we don't need to care about that for now. After that, you take 2 dollars and give the rest to Jeremy which is 8 dollars. You can create the equation x-2=8. Solve for x which is $10. Finally substitute that into the first equation to get (1/2)J=70. Multiply 2 to both sides to cancel out the (1/2) and the 70 by 2 to get Jeremy's total money which is $140
Answer:
0.6 hours
Step-by-step explanation:
Let's say J is Jen's speed (cake pops per hour), and let's say M is Maryna's speed (cake pops per hour).
Let's say there are 12 cake pops total that need to be made. Jen made half of the cake pops in 3 hours, so she made 6 cake pops in 3 hours. So her speed is 2 cake pops per hour.
Then, Jen and Maryna made the other half of the cake pops in 1/2 hour. Therefore, their combined speed is:
J + M = 6 cake pops / (1/2 hr)
J + M = 12
2 + M = 12
M = 10
So Maryna can make 10 cake pops per hour.
If Maryna was working alone, the amount of time it would take her to make 6 cake pops is:
6 cake pops / (10 cake pops per hour) = 0.6 hours
It would take 0.6 hours, or 36 minutes.
Answer:
(-5,1)
Step-by-step explanation:
y=3x+16
4x-5y=-25
substitute the given value of y into the equation.
4x-5(3x+16)=-25
solve
x=5
substitute the given value of x into the equation.
y=3x(-5)+16
solve
y=1
(-5,1)
1,570 is the answer to this very specific math problem
You can find the volume by using the formula of density
![d=\frac{m}{v}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7Bm%7D%7Bv%7D)
where d is the density, m is the mass and v is the volume
You have to solve the formula for v like this:
![v = \frac{m}{d}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7Bm%7D%7Bd%7D%20)
you have the density and the mass so you just have to replace the variables in the formula with the values they are giving you, like this:
![v = \frac{9842mg}{1406 \frac{mg}{ml} } = 7ml](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B9842mg%7D%7B1406%20%5Cfrac%7Bmg%7D%7Bml%7D%20%7D%20%3D%207ml)
The volume of the stone is 7ml