KnockOut

I do understand that it is a problem. But academic dishonesty is really up to the students to decide.

Este tema ha sido mencionado anteriormente. Si no entiende lo que dice, puede traducirlo directamente al español.

https://web2.0calc.com/questions/i-m-concerned-that-we-are-just-doing-people-s-homework-for-them-that-s-no-way-to-encourage-people-to-actually-learn-the-math

This is the topic. 

We are given that $30^\circ$ is equal to $5$ students.

We need to find the total number of students who took part in the survey. All we need to do is find the ratio of the $30^\circ$ portion to the whole circle, then multiply it by $5$.

$30 : 5 = 360 : x$
$30x = 1800$

$x = 60$.

Therefore, there are $\boxed{60}$ students participating in the survey.

Okay. We are given that $90^\circ = 12$ children. 

Let's first solve for the mint portion. $45^\circ$ is half of $90^\circ$, so the number of children that like mint ice cream should also be half of the number of children who like vanilla, giving us $\boxed 6$ children who like mint ice cream.

Next, let's solve for the angle measure of the strawberry portion of the pie chart. We are given that $14$ children voted for strawberry. I'm going to use ratios to solve this one. 

$12 : 14 = 90 : x$.

$12x = 1260$.

$x = 105$.

So the angle measure of the strawberry portion is $\boxed{105^\circ}$.

Finally, let's solve for the number of children who like chocolate ice cream. $120$ is $\frac{4}{3}$ of $90$, so the number of children who like chocolate ice cream should also be $\frac{4}{3}$ of the number of children who like vanilla ice cream. 

$12 \times \frac{4}{3} = 16$.

Therefore, $\boxed{16}$ children like chocolate ice cream.

Hope that helps!

Umm... this isn't a complete question...?

No problem :)

Okay. I mean I guess I won't need them if we are just plugging the numbers in.

We have the equation $40c + 12a \leq 500$.

Plugging in $4$ for c and $2$ for a,

we get:

$40(4) + 12(2) \leq 500$

$= 160 + 24 \leq 500$

$= 184 \leq 500$.

Since $184$ is less than $500$, the boats are safe. 

Therefore, Judah's family can ride the bumper boats safely.

So the answer is $\boxed{yes}$.

Can I ask what values 40, 12, and 500 stand for?

This question has been asked before!!!

https://web2.0calc.com/questions/a-square-defg-varies-inside-equilateral-triangle

Now for the final part, we need to rearrange the eqution: ${y-14 = -2(x-1)}$ into slope-intercept form.

Slope-intercept form is in the form of $y = mx + b$.

Rearranging our equation to look like this, we get:

${y-14 = -2(x-1)}$,

$y = -2(x-1) + 14$,

$y = -2x + 2 + 14$

$y = -2x + 16$.

Therefore, our answer is $\boxed{y = -2x + 16}$.

We can test this by inserting an ordered pair, let's say $(2,12)$.

$12 = -4 + 16$,

$12 = 12$

Is this equation true? YES!!!!.. This tells us that our answer is correct!