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Keith_Richards [23]
3 years ago
13

pheobe has 9 rocks. she puts the rocks into 3 boxes. Each box 1 more rock then the last. How many rocks are in each box

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0
Hello!

We can write this as the system of equations below. We have boxes A, B, and C.

A+B+C=9
B=A+1
C=B+1

First of all we can plug our B and C values into the first equation and solve for A.

A+A+1+A+1+1=9
3a+3=9
3a=6
a=2

Now we can plug our a value into the other equations.

B=2+1
B=3

C=3+1
C=4

Therefore, there are 2 rocks in one box, three in another, and 4 in the last.

I hope this helps!
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the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

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2) for h=5 units

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The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


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