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scoundrel [369]
2 years ago
14

Every year, Alice's family runs the sand castle contest during the Fun in the Sun beach festival. Alice's job is to deliver empt

y buckets to the teams. This year, Alice hands out the same number of buckets to each of the 15 teams in the contest. Each team gets 8 buckets.
Use an equation to find the total number of buckets Alice delivers.
Mathematics
1 answer:
seropon [69]2 years ago
8 0

Answer:

120 buckets

Step-by-step explanation:

If there are 15 teams and each team gets the same number of buckets (8 buckets as mentioned in the problem), then you can multiply 15 by 8 to get 120.

15 teams * 8 buckets = 120 total buckets

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Write an equation for a circle with a diameter that has endpoints at (–4, –7) and (–2, –5). Round to the nearest tenth if necess
Zinaida [17]

since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.

we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-2-(-4)]^2+[-5-(-7)]^2}\implies d=\sqrt{(-2+4)^2+(-5+7)^2} \\\\\\ d=\sqrt{2^2+2^2}\implies d=\sqrt{2\cdot 2^2}\implies d=2\sqrt{2}~\hfill \stackrel{~\hfill radius}{\cfrac{2\sqrt{2}}{2}\implies\boxed{ \sqrt{2}}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-2-4}{2}~~,~~\cfrac{-5-7}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{-12}{2} \right)\implies \stackrel{center}{\boxed{(-3,-6)}} \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{\sqrt{2}}{ r} \\[2em] [x-(-3)]^2+[y-(-6)]^2=(\sqrt{2})^2\implies (x+3)^2+(y+6)^2=2

4 0
3 years ago
Read 2 more answers
The mean value of 8 numbers is 17. Three of these numbers (9, 11, and 20) are discarded.
Viktor [21]

Answer:

19.2

Step-by-step explanation:

You get the mean of a set of numbers by adding them and dividing the sum by how many numbers there are.  In this case, you don't know what the individual 8 numbers are, but you can find out what they add up to.

Mean = (sum) / 8

17 = (sum) / 8

17 x 8 = sum

136 = sum

Now take out the numbers 9, 11, 20, which reduces the sum by 40.  There are 5 numbers left and they add up to 136 - 40 = 96.

The new mean is 96 / 5 = 19.2

3 0
4 years ago
How do you write range on a graph?
Ratling [72]

The range of a function is the set of all possible outputs.

When the quadratic functions are in standard form, they generally look like this:

f(x) = ax^{2}  + bx + c

If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−\frac{b}{2a}). For example, consider this function:

f(x) = -2x^{2} + 8x -3\\

So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2

Then, we plug this in:

f(2) = -2(2)^{2} +8(2) -3 = 5

a is negative, so the range is all real numbers less than or equal to 5.

Learn more about range at

brainly.com/question/2264373

#SPJ4

4 0
1 year ago
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What ty
andrezito [222]

Answer:

let me think

Step-by-step explanation:

i want free points

7 0
3 years ago
ASAP!!!<br> Find the zero of the function f(x) = -8x + 4.<br> a. -1/2<br> b. 2<br> c. -2<br> d. 1/2
Katyanochek1 [597]

Answer:

D. 1/2

Step-by-step explanation:

Because if you choose A , you get +4

if you choose B ,you get -12

Choose C , you get +20

D is the correct answer.

6 0
3 years ago
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