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3 years ago

If 12 baseballs weigh 40 ounces, how much will 30 baseballs weigh

Mathematics

1 answer:

svet-max [94.6K]3 years ago

6 0

Answer:

First you have to divide 12 by 40 to get 0.3 becuase 0.3x40=12 so each baseball weighs 0.3 ounces. Then you have to 30x0.3 to get 90 so your answer would be 90 pounds for 30 baseballs.

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Step-by-step explanation:

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Greg earns $14 per hour at his office job, along with a $25 weekly bonus. The following inequality represents his earnings on hi

Neporo4naja [7]

Answer:

Greg worked more than 20 hours.

Step-by-step explanation:

Let's solve the inequality for $h$ so we know how many hours Greg worked:

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3 0

3 years ago

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

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

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

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3 years ago