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Bumek [7]
3 years ago
10

A truck whose bed is 2.5m long,1.5m, and 1.0 m high is delivering sand for a sand sculpture competition.About how many trips mus

t the truck make to deliver 7m of sand
Mathematics
1 answer:
serg [7]3 years ago
5 0

The volume of the bed of the truck is 2.5 x 1.5 x 1.0 = 3.75 cubic meters.

total trips = 7 / 3.75 = 1.87, round up to 2.

They will need to make 2 trips.

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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and
Nutka1998 [239]
We can start by writing all that we know about the problem. Let us write down how many scones each boy has:
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C_{a} : x+k
L_{o} : x+2k
T_{o} : x+3k
C_{h} : x+4k
Note that k is the increase, we know it's a constant. This is not a system of equations, please keep that in mind. We will use rest of the information given to build the system. We have two variables x (the number of cookies the first boy bought) and k( the increase), that means we need to have two equations to solve this problem. 
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5x+10k=60
We know that Robbie and Cameron combined have 3/7 of <span>Louis, Tom and Charlie combined. We can use this information to build our second equation.
</span>R_o+C_a= \frac{3}{7} (L_o+T_o+C_h)
2x+k= \frac{3}{7} (x+2k+x+3k+x+4k)
2x+k= \frac{3}{7} (3x+9k)
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x=4k
Now this piece of information alows us to solve the first equation that we made and this will solve our problem. We simply plug in x=4k into 5x+10k=60.
5(4k)+10k=60
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k=2
Now we can plug this information into the same equation 5x+10k=60 and get x.
5x+10(2)=60
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R_{o} : x=8
C_{a} : x+k=10
L_{o} : x+2k=12
T_{o} : x+3k=14
C_{h} : x+4k=16
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