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3 years ago

Dhanraj spent $204.20 purchasing volleyballs and basketballs.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

6 0

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3 Eqn 1

8.20x+12.60y=204.20 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

$\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8$

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

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Divide by 2 = 3248.5/2 = 1624.25 force

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In the case of a Second Class Lever as attached diagram shows proof to formula below.

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The the load in the wheelbarrow shown is trying to push the wheelbarrow down in an anti-clockwise direction whilst the effort is being used to keep it up by pulling in a clockwise direction.

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This general rule is expressed as clockwise moments = anti-clockwise moments (or CM = ACM)

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Being able to calculate the forces acting on a beam by using moments helps us work out reactions at supports when beams (or bridges) have several loads acting upon them.

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(F1 x d1) + (F2 x d2) = R2 x Length of beam

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360kgm + 360km / 12m = R2

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So if R2 = 60kg and the total load is 100kg (60kg + 40kg) then R1 = 40kg