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2 years ago

The school cafeteria served

Mathematics

1 answer:

exis [7]2 years ago

5 0

Answer:

12 students.

Step-by-step explanation:

Since they served 36 pieces, and each student got 3 slices, then you would divide 36 by 3. 36 divided by 3 equals 12. So that means 12 students got served.

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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of

tresset_1 [31]

Since you have to mix all of it together, the whole cocktail is 20+10+15=45.
And the portion that is coconut milk is 15ml. So that means there is 15 out of 45 or 15/45 coconut milk in the cocktail. Then the simpelest form is 1/3.

6 0

2 years ago

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Irene has 1 gallon of milk. She uses

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Answer: 32

Step-by-step explanation: There are 128 fluid ounces in a gallon of milk so divide that by the 4 per bowl and you get 32 bowls

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3 years ago

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