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goldfiish [28.3K]
4 years ago
12

Write a unit rate for the situation. 6 kittens in 3 boxes

Mathematics
2 answers:
MrRa [10]4 years ago
7 0

Answer:

6:3

Step-by-step explanation:

Natasha_Volkova [10]4 years ago
5 0

Answer:

2 kittens in 1 box

Step-by-step explanation:

divide both sides by 3 to get the unit rate

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Use the distributive property to expand the expression: 6 (5x-8)​
USPshnik [31]

Answer:

30x - 48

Step-by-step explanation:

6 (5x) = 30x

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30x - 48

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A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s
pshichka [43]

Answer:

Step-by-step explanation:

Diameter of cone=14 cm

so, Radius of cone= 7cm

     Height of cone= 8cm

     ∴ Volume of cone= 1/3*pi*r^2*h

                                 =1/3*pi*49*8 cm^3

In Sphere, External Radius R=5cm

         Let, Internal Radius = r  

   Volume of Sphere = External Volume- Internal Volume

                                 = 4/3*pi*R^3-4/3*pi*r^3

                                 =4/3*pi[R^3-r^3]

                                 =4/3*pi[5^3-r^3]

But During Conversion Volume Remains Same

    So, Volume of Sphere=Volume of Cone

           4/3*pi[125-r^3]= 1/3*pi*49*8

           4[125-r^3]=49*8

             [125-r^3]=49*2

              r^3=125-98

              r^3=27

              so, r =3 cm

          Internal Radius= 3cm

   So, Internal Diameter=3*2= 6cm

PLS MARK BRAINLIEST

5 0
3 years ago
A boat takes 5 hours to go upstream. It can go 50 miles downstream in the same time. Find the rate of the current in the rate of
natka813 [3]

Answer:

Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

Step-by-step explanation:

This question is incomplete; find the complete question here.

A boat travels 20 miles upstream in 5 hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.

Let the speed boat in the still water = x miles per hour

and the speed (rate) of the current = y miles per hour

Speed of the boat to go upstream (against the current) will be = (x - y)miles per hour

Since boat takes 5 hours downstream to travel 50 miles then from the formula,

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

5=\frac{50}{(x+y)}

(x + y) = 10 -------(1)

Boat takes 5 hours to travel 50 miles upstream then,

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

5 = \frac{20}{(x-y)}

x - y = 4 -----(2)

By adding equation (1) and question (2)

(x + y) + (x - y) = 14

2x = 14

x = 7 miles per hour

From equation (1),

7 + y = 10

y = 3 miles per hour

Therefore, Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

5 0
3 years ago
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