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denis23 [38]
2 years ago
13

The sum of two numbers is 61. If the larger number is seven less than three times the smaller number, find both numbers.

Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

x = 17, y = 44

Step-by-step explanation:

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Volume of a cube is sides a3 

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V=1000cm
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There were six sisters, every sister has one brother, how many brothers are there in total
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The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is
I am Lyosha [343]

Answer:

30m^3 cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be 6m.

We are also told that the height is five times its length, so height of the prism would be 5m.

We know that volume of rectangular prism is height times width times length.

\text{Volume of rectangular prism}=lwh

\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m

\text{Volume of rectangular prism}=30m^3

Therefore, the volume of the given rectangular prism would be 30m^3 cubic units.

8 0
2 years ago
Determine the expression you can substitute for y in to solve the system below.
FromTheMoon [43]

Answer:

Step-by-step explanation:

given are the two following linear equations:

                       f(x)  =  y  = 1 +  .5x

                       f(x)  =  y  = 11 -  2x

Graph the first equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  1  + .5(0)  =  1

           If y = 0, then  f(x)  =  0  = 1  +  .5x

                                               -.5x  =  1

                                                    x  =  -2

           The resulting data points are  (0,1)  and  (-2,0)

Graph the second  equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  11  - 2(0)  =  11

           If y = 0, then  f(x)  =  0  = 11  -  2x

                                               2x  =  11

                                                    x  =  5.5

           The resulting data points are  (0,11)  and  (5.5,0)

At the point of intersection of the two equations x and y have the same values.  From the graph these values can be read as x = 4 and y = 3.

6 0
3 years ago
If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an
UkoKoshka [18]

The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
  • L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
  • r = Length of the second hand
  • ∅ = angle formed by the second hand of the clock
  • π = pie

From the question,

<h3>Given:</h3>
  • r = 10 cm = 0.1 m
  • ∅ = (360×45/60) =  270°
  • π = 3.14

Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
  • L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

<h3 />

7 0
2 years ago
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