All categories

2 years ago

Shawna, Ryan, and Dominic ate a whole pizza. Shawna ate 1

Mathematics

1 answer:

mafiozo [28]2 years ago

4 0

Answer:

$\frac{1}{6}$

Step-by-step explanation:

You need to add the amount Shawna & Ryan ate together, then subtract it from 1 to find the amount of pizza that was left for Dominic to eat.

$\frac{1}{3}$ + $\frac{1}{2}$ = ?

Make all the denominators the same to add fractions.

$\frac{1}{3}$ is $\frac{2}{6}$

$\frac{1}{2}$ is $\frac{3}{6}$

$\frac{2}{6}$ + $\frac{3}{6}$ = $\frac{5}{6}$

1 - $\frac{5}{6}$ = $\frac{1}{6}$

You might be interested in

The quotient of k and 9 is greater than 1/3

vagabundo [1.1K]

K/9 > 1/3
i believe this is how it is represented.

6 0

2 years ago

10. 10x + 5y = 15<br> y = 2x - 3

TiliK225 [7]

Answer:

if your looking for x then

Step-by-step explanation:

first add in the y by doing 10x+5(2x-3)=15 then 10x+10x-15=15 then 20x-15=15 then 20x=30 then divided by 20 for both sides which gets you x=30/20 or 1 1/3

6 0

3 years ago

Read 2 more answers

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

2 years ago

I need help plzz

sesenic [268]

Answer:

3200

Step-by-step explanation:

8 0

3 years ago

5 more than the product of 4 and some number is equal to 33

gregori [183]

Answer:

33 = 4x + 5

Step-by-step explanation:

If you convert this expression into numbers, it would be 4 times the number x plus 5 is equal to 33.

Hopefully this helps! Let me know if you have any questions!

8 0

2 years ago

Read 2 more answers