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3 years ago

In a bookstore, 60 identical books occupy a length

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

Answer:

i) 1.25m

ii) 32 books

Step-by-step explanation:

60 identical books occupies = length of 1.5m

(i) the length occupied by 50 such books on

a shelf,

If:

60 books = 1.5m

50 books = y m

60 × ym = 1.5 × 50

ym = 1.5 × 50/60

= 1.25 m

Therefore, 50 of such books occupies a length of 1.25m

(ii) the number of such books needed to completely

occupy a shelf that is 80 cm long.

100 cm = 1m

80 cm = x m

Cross Multiply

xm = 80/100

= 0.8 m

If : 1.5 m = 60 books

0.8 m = y books

Cross Multiply

= 1.5m × y books = 60 books × 0.8m

y books = 60 books × 0.8m/1.5m

y books = 32 books

Therefore, 32 books occupies a shelf that is 80 cm or 0.8 m long

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Read 2 more answers

The sum of three consecutive even integers is -78, what are the integers ?

Digiron [165]

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
$