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3 years ago

What makes a unit rate different from other rates

Mathematics

2 answers:

kaheart [24]3 years ago

6 0

A unit rate is when it is in simplest form

Degger [83]3 years ago

5 0

In a unit rate you are finding what one of something is, like a pack of water bottles that costs this much and 4 gallons of water that cost this much

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What is 1/2 ÷ 10?<br> What is 3÷ 1/6?

aev [14]

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3÷1/6= 18 because it is the same as 3×6

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Greg has to carry 191 apples from a farm to the market. how many baskets will need, given that each basket can hold 42 apples?

soldi70 [24.7K]

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3 years ago

A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.

ExtremeBDS [4]

Answer:

V-foam = 4r³( 2 - ----- )

Step-by-step explanation:

Let the radius of the sphere be r. Then the volume of the sphere is

V = (4/3)(π)(r³).

Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus

V = (2r)³, or 8r³.

Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:

V-foam = 8r³ - (4/3)(π)(r³). This could be factored into

V-foam = 4r³( 2 - ----- )

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3 years ago

A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio

Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

= 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

$x^{2}$ + 12x + 28 = 60

$x^{2}$ + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

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3 years ago