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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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A software distributor charges \$41$41dollar sign, 41 per license of a particular utility. The distributor offers a 10\%10%10, p
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Answer:

1558

Step-by-step explanation:

The first 202020 licenses cost full price, which is \$41$41dollar sign, 41 each. Thus, the first 202020 licenses cost a total of \$41 \cdot 20 = \$820$41⋅20=$820dollar sign, 41, dot, 20, equals, dollar sign, 820.

Hint #2

The remaining licenses have a 10\%10%10, percent discount. That means they cost 90\%90%90, percent of the full price. Let's write 90\%90%90, percent in its decimal form, 0.90.90, point, 9, in order to multiply.

\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

Hint #4

To find the cost for all 404040 licenses, let's add the costs of the full price and discounted licenses.

\qquad \$820 + \$738 = \$1558$820+$738=$1558dollar sign, 820, plus, dollar sign, 738, equals, dollar sign, 1558

Hint #5

The business would pay \$1558$1558dollar sign, 1558 to buy the licenses.

3 0
3 years ago
The vertex of an isosceles triangle measures 15 degrees more than one of its base angles how many degrees are there in a base an
Alexxandr [17]
V=B+15
V+2B=180
Therefore:
3B+15=180
B=55
V=70

Check:
V+2B=180
70+2(55)=180
70+110=180
180=180. Checks. 
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3 years ago
A grocer wants to mix a type of spice which costs £22 per kilogram with another type
AfilCa [17]

Answer:

60

Step-by-step explanation:

let a = 22 / kg, and b = 12 / kg

a + b = 20 kg

22a + 12b = 15 * 20

12a + 12b = 240

10a = 60

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2 years ago
micah and his friends work at a tire factory. The factory manufactures several size tires for different vehicles Fill out the ta
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Every other tire has the same ratio

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2 feet I think, I could be wrong
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