The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass
2 answers:
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
There fore, the beam will bend by 50 mm with a mass of 100kg?
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Answer:
Step-by-step explanation:
Let the total number of votes to choose a color = x
Number of votes for blue =
Remaining votes = x -
=
=
Votes for green =
=
=
Finally remaining votes =
=
=
=
Since these votes are for red therefore,
= 48
x = 48×6
= 288
a) Votes for blue are
Therefore, exact number for blue votes =
= 5×36
= 180
b). Votes for green =
=
= 60
c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25
= 313
d). Since seven tenths of the votes for blue were made by the girls.
Therefore, number of girls voted for blue =
= 7×18
= 126
Since total votes made = 288
Therefore, half of the votes made =
= 144
Now it's clear that number of votes made by girls is less than half of all the votes.
e). 126 girls voted for blue.