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Sedaia [141]
3 years ago
5

Help me fast i have a hw......

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

7.c

8.g

16.f

17.a

Step-by-step explanation:

hope it helps

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The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams. The combined weight of one die
olya-2409 [2.1K]

Answer:

The total weight of one die, one ball, and one marble is 75 grams.

Step-by-step explanation:

Consider the provided information.

Let d represents the number of dice, b represents the number of balls and m represents the number of marbles.

So according to the question.

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams.

2d+5b+4m=260  ....(1)

The combined weight of one die and one marble was 55 grams.

d+m=55

m=55-d  ....(2)

3 balls weighed the same as two dice.

3b=2d

Multiply both sides by 5 and divide by 3.

5b=\frac{10}{3}d  .....(3)

Now put the value of equation 2 and 3 in equation 1.

2d+\frac{10}{3}d+4(55-d)=260

2d+\frac{10}{3}d+220-4d=260

\frac{6d+10d-12d}{3}=40

4d=120

d=30

Put d=30 in equation 2.

m=55-30

m=25

Put d=30 in equation 3.

5b=\frac{10}{3}\times 30

5b=100

b=20

The total weight (in grams) of one die, one ball, and one marble is:

d+m+b=25+20+30

d+m+b=75

The total weight of one die, one ball, and one marble is 75 grams.

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