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2 years ago

7

A Factory processes 1,560 ounces of olive oil per hour. the oil is packaged into 24-ounces bottles. how many bottles does the fa

ctory fill in one hour

1 answer:

klasskru [66]2 years ago

3 0

1560 oz / 24 oz bottles = 65 bottles are filled per hr

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The population of the African country Uganda has been growing at a steady rate for several decades. Assuming that the current po

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According to me, 1.03M live per sq mile.

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Simplify: 8n-7y-12n+5-3y

professor190 [17]

8n−7y−12n+5−3y

=8n+−7y+−12n+5+−3y

Combine Like Terms:

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2 years ago

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2/3 divide by 4/5?

Alenkasestr [34]

Answer:

$\frac{5}{6}$

Step-by-step explanation:

$\frac{2}{3}$ ÷ $\frac{4}{5}$

↓ ↓ ↓

leave it change it turn it over

$\frac{2}{3}$ × $\frac{5}{4}$

now solve it

$\frac{2}{3}$ × $\frac{5}{4}$ = $\frac{10}{12}$

now simplify it

$\frac{10}{12}$ = $\frac{5}{6}$

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2 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

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

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

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3 years ago