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3 years ago

1. The ice cream shop offers a choice of a 3 cone sizes, 15 flavors, and 8

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Answer:

3 x 15 x 8 = 360

so, if there were 3 cone sizes, 25 flavors of ice cream, and 8 toppings, there would be about 360 different operations

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X²+y²-6x+14y-1=0<br> and please show your work so I can learn

Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

$x^2 + y^2 -6x+14y-1=0$

We need to use the Quadratic Formula*

$x =\frac{-b+\sqrt{b^2}-4ac }{2a}$ , $\frac{-b-\sqrt{b^2} -4ac }{2a}$

Thus, given the problem:

$a = 1, b=-6, c=y^2+14y-1$

So now we just need to plug them in the Quadratic Formula*

$x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$ , $x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}$

As you can see, it is a mess right now. Therefore, we need to simplify it

$x=\frac{6+2\sqrt{10-y^2-14y} }{2}$ , $x = \frac{6-2\sqrt{10-y^2-14y} }{2}$

Now that's get us to the final solution:

$x=3+\sqrt{10-y^2-14y}$ , $x=3-\sqrt{10-y^2-14y}$

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0

3 years ago

The cone and the cylinder below have equal surface area. True or false.

WARRIOR [948]

Answer:

False

Step-by-step explanation:

The surface area of the cone is

$V=\pi r^2 +\pi rl$

$SA=\pi r^2 +\pi\times r\times 2r$

$SA=\pi r^2 +2\pi\times r^2$

$SA=3\pi r^2$

The surface area of the cylinder is:

$SA=2\pi r^2 +2\pi rh$

$SA=2\pi r^2 +2\pi\times r\times r$

$SA=4\pi r^2$

3 0

3 years ago

The results of a car race are shown. How much faster did Evans drive per lap than loza?

Lelechka [254]

Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.

8 0

4 years ago

What is 4/6 equal to

timama [110]

$\frac{2}{3}$

8 0

3 years ago

Help, please! If possible explain it like your talking to a little kid :) Thank you♡

monitta

Answer:

GCF: y³z³

Step-by-step explanation:

The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.

In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.

$\frac{x^{3}y^{5}z^{5} , y^{3}z^{5} , xy^{3}z^{3} }{y^{3}z^{3}} = x^{3}y^{2}z^{2} , z^{2} , x$

y³z³(x³y²z² , z² , x)

7 0

3 years ago