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Mila [183]
3 years ago
9

27 campers ate 567 pancakes during a week−long trip. If each camper ate the same amount, how many pancakes did each camper eat?

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

23.6

Step-by-step explanation:

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What is the measure of \purpleD{\angle x}∠xstart color #7854ab, angle, x, end color #7854ab? Angles are not necessarily drawn to
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Answer:

63

Step-by-step explanation:

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2 years ago
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The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
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Lerok [7]
The angle immediately below x makes up the third angle of the isosceles triangle whose base angles are 55°. That third angle and x are "vertical" angles, hence equal. The value of x can be found from the sum of angles of a triangle:
  x + 55° + 55° = 180°
  x = 70°

The appropriate choice is the 2nd one:
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4 0
2 years ago
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mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend
OLEGan [10]

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

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Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

3 0
3 years ago
What is the scale factor that takes the large triangle to the small triangle?
Lerok [7]

Step-by-step explanation:

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we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

5 0
2 years ago
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