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!