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Sav [38]
2 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]2 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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If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
3 years ago
After simplifying, which expressions are equivalent? Select three options. (3.42 – 1.75) + (235a – 3.95) (2.5a + 1.65) + (3.4a +
poizon [28]

9514 1404 393

Answer:

  C, D, E

Step-by-step explanation:

Collect terms. The last three options are all equivalent to ...

  5.9a - 5.6b​

3 0
3 years ago
sandi has 2 1/3 cases of car oil in her garage. a full case contains 12 quarts. how many quarts of oil does sandi have?
timurjin [86]
Amount of oil sandi has = 2 1/3 * 12

 =   7/3 * 12 = 7*4 = 28 quarts
4 0
3 years ago
What is the domain of the function (-1,1) (0,0) (1,2)
galben [10]

Answer:

{-1,0,1}

Step-by-step explanation:

The domain of a function is the set of all input values. The input values are the first coordinate in any coordinate pair (x,y).

So the domain here is {-1, 0, 1}.

8 0
2 years ago
Solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11
jonny [76]
2x-5y=-7 \ \ \ \ \ \ |\times (-5) \\
5x-3y=11  \ \ \ \ \ \ \ |\times 2 \\ \\
-10x+25y=35 \\
\underline{10x-6y=22 \ \ \ \ \ \ } \\
25y-6y=35+22 \\
19y=57 \\
y=\frac{57}{19} \\
y=3 \\ \\
2x-5y=-7 \\
2x-5 \times 3 =-7 \\
2x-15=-7 \\
2x=-7+15 \\
2x=8 \\
x=\frac{8}{2} \\
x=4 \\ \\ \boxed{(x,y)=(4,3)}
8 0
3 years ago
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