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Sav [38]
3 years ago
9

Diya and Leo both write the decimal 2.15 repeating as a fraction. Diya's fraction: 97/45 Leo's fraction: 97/5 Who wrote the corr

ect fraction?
Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0
We can solve this without counting too much, like this:

When we look st Diya's fraction: it's about 2 : you can see that the top number is about twice as big as the lower one (compare 90 and 40 for this, 90 is a little more than twice 40)

When we look at Leo's fraction: 97 is a lot more than twice 5!!! To simplify compare 90 and 5: it is definitely at least 10 times bigger (actually 18).

So even if we just "look at" the fractions; Leo's fraction seems too big to be 2.(15).

In fact, his fraction is equal to 19.4

Diya was right!

(and 97/45 is exactly 2.(15).
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The price of a watch was increased by 20% to £162. What was the price before the increase?
vfiekz [6]

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

6 0
3 years ago
Read 2 more answers
Does anyone know how to do 7a?
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8 0
3 years ago
Which graph represents the inequality 3y−5x>−6?
Lelechka [254]

Answer:Top Left

Step-by-step explanation:

4 0
3 years ago
The supplement of an angle is three times the measure of the angle.
stira [4]

Answer: The angle equals  45 ∘  and the supplement is  135 ∘

Explanation:

Since the supplement is three times the angle, we can say    s  =  3 a

Since we know the supplement is  

180 − a , we can plug that in.

180 - a = 3a

180  = 4 a  (add  a  to both sides)

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Since we know the angle now, all we have to do is multiply it times  3  to find the supplement.

45  ×  3  =  135

4 0
3 years ago
heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h
Ganezh [65]
Assuming that the two investments are  X & Y
X + Y = 6300
X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 372                       (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful 



6 0
3 years ago
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