HELPMEEEEEEEEEEEEE

Let burgers be b and hotdogs be h. 2b+2h= $15.56 and 3b+5h= $29.92 

Solving the system of equations, we get b+h= $7.78 which means that 3b+3h= $23.34...we subtract this from the second equation and get 

3b+5h-(3b+3h)= $29.92- $23.34

2h= $6.58

Dividing by 2 we get hotdogs to cost $3.29

If we have this cost then we can find the cost of burgers by doing b+ $3.29= $7.78

Solving for b we get b= $4.49 so burgers cost $4.49.

Hope it helps!

The fast way to do it is to realize that the ratio of corresponding side lengths is 1 to 3. The ratio of volumes of similar shapes is ration of sides cubed. So the ratio of the volumes would be 1^3 to 3^3 or 1 to 27.

So if the large cone has a volume of 648pi, then 648pi/27= 24pi. This is a neat trick to know and works with area as well.

Hope it helps!

The water will reach a height of 2 inches creating a similar cone. Since the ratio of the height of the smaller to the larger cone is 2:6 or 1:3, that means that the radius of the cones are in a ratio of 1:3 meaing the smaller cone has a radius of 6. Knowing this, the volume of a cone is 1/3Bh, where B is area of base and h is the height so we get 1/3*36pi*2= 24 pi.

Hope it helps!

Set up the equation b^2+6b+1+b^2+3b+4= 3b^2+b+5 and solve for b.

Simplifying the equation we get b^2-8b=0 so b= 8. 

Hope it helps!

If your salary was increase 16% to equal $55,680, we can set up the equation where x is your salary before the increase 1.16x= $55680, solving for x we get $48,000. 

Here is thy answereth. xD

Hope it helps!

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Floor function of sqrt 1= 1

Floor function of sqrt 2= 1

Floor function of sqrt 3= 1

Floor function of sqrt 4= 2

Floor function of sqrt 5= 2

Floor function of sqrt 6= 2

Floor function of sqrt 7= 2

Floor function of sqrt 8= 2

...

Floor function of sqrt 19= 4

3 * 1+ 5 * 2+ 7 * 3+ 4 * 4=50.

Hope it helps!

My answer is the same as what you said, I'm confused...

And I quote "that means that H is 1, E is 2, and S is 4."

Both CPhill and I have the same answer... I don't understand??

Wait...I understand, I found the values of E, H, and S but it wanted the sum in base 5 from the diagram. That makes sense.

16t^2+55t+4= 30 feet is the equation we need to solve this problem. In this case, we'll be solving for t. 

16t^2+55t-26=0 since it does not factor, we'll have to do this out. 

Since our answer cannot be negative, our solution is 0.42113353947124876.

Rounding to the nearest 10th we get .4 as our final answer.

Hope it helps!

The question is actually easy if you think about it. S, H, and E have to be less than 5 since it's in base 5. If 2E=S, S equals either 2 or 4 and since 2H=E, that means that H is 1, E is 2, and S is 4. This is the only case that works. So your answer is 1+2+4= 7.

Hope it helps!