If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?

What is the volume of the cylinder shown below?

Anastasy [175]

here's your solution

=> it is given that.

=> height of cylinder = 15unit

=> radius of base = 9unit

=> volume of cylinder = π r^2h cubic unit

 => now, putting the value of height and radius

in above formula

=> volume = 22/7 *9*9*15

=> volume = 36177cubic unit

4 0

3 years ago

Ribbon candy cost 2.50 per foot. How many feet can you buy if you have 11.25?

netineya [11]

Answer: your answer is 4.5

Step-by-step explanation: your answer is 4.5 because 11.25/2.50=4.5

:)

8 0

3 years ago

Read 2 more answers

Find the coordinates of the midpoint of a segment having the given endpoints.

inysia [295]

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

$midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5, x₂=3.5, y₂=1.5 then applying the formula for midpoint

$=(\frac{-0.4+3.5}{2} ,\frac{2.5+1.5}{2} )\\\\\\=(\frac{3.1}{2} ,\frac{4.0}{2} )\\\\\\=(1.55,2.0)$

3 0

3 years ago

Dafes stickball team has six players.how many different six player battling lineups can they make ifdave must bat second and eit

aalyn [17]

Let us name the players A,Dave,Zack,Paul,E and F
For the first position there are two candidades ( Zack / Paul )
For the second position there is only one candidate i.e. Dave
For the third place there will be 4 candidates (out of Zack and Paul - 1 as one of them is already taken for the first position and A, E and F total-4)
For the fourth place there will be 3 candidates ( out of the four available candidates in the 3rd place, one will be taken up for 3rd place )
For the fifth place there will be 2 candidates
Finally, for the last place there will be only one candidate left.
On multiplying the no. of available cadidates, we get 2 * 1 * 4 * 3 * 2 * 1 = 48 i.e. option (A)
Please mention minor spelling mistakes
For the second question:
Let the no of dotted marbles be 'x' and no of striped marbles be 'y'
then the equation will become as follows
(y+6)/x = 3
and
(x+6)/y = (2/3)
On solving the equations, we will get x = 10 and y = 24
Total balls = 10+24+6 = 40 (option E)
Answer 3 will be ) For the first edge, he can choose 3 paths
For the second edge he can choose 2 paths for each path of its first edge's path
For the third , he is bounded to move on the paths created by the first and the second edges hence 1 path for each path created by the first and the second edge together
It will be multiplication of all the possibilities of the paths of the three edges differently.........
i.e. 3 * 2 * 1 = 6

6 0

3 years ago

Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.

Jobisdone [24]

This question is in reverse (in two ways):

1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero. 

The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse. 

Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero. 

2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0). 

For example, given the number 3, and its additive inverse -3, if you add them, you get zero: 
3 + (-3) = 0 

However, their "difference" will be 6 (or -6, depending which way you do the difference): 

3 - (-3) = 6 
-3 - 3 = -6 

(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3). 

--- 

A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven". 

It can be written as an endless decimal expansion 
0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational". 

Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3") 

The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) 

The additive inverse of 4/7 is -4/7 

and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") 

(4/7) + (-4/7) = 0/7 = 0 

If you need to "prove" it, you begin by the existence of additive inverses in the integers. 
ALL integers each have an additive inverse. 
For example, the additive inverse of 4 is -4 

Next, show that this (in the integers) can be applied to the rationals in this manner: 

(4/7) + (-4/7) = ? 
common denominator, therefore you can factor out the denominator: 

(4 + -4)/7 = ? 
Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero 
(0)/7 = 0/7 = 0 

Since this is true for ALL integers, then it must also be true for ALL rational numbers.

5 0

3 years ago