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4 years ago

explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction

1 answer:

8 0

Think: You're treating the numerator and the denom. in precisely the same way. In doing so you are NOT changing the value of the fraction, only the appearance.

Example: start with 2/3. Mult num. and den. both by 7: 14/21.

2/3 and 14/21 result in precisely the same decimal fraction, showing that the latter set of fractions is equivalent to the former set.

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Which data set does this stem-and-leaf plot represent?

Nesterboy [21]

Answer:

15, 15, 15, 15, 24, 28, 36, 45, 75, 75, 76, 77, 80, 86

Step-by-step explanation:

you read the left side for each digit on the left side

3 0

2 years ago

What is the answer to the meeting had 30 people, which is five-sixths of the club. how many people are in the club?

netineya [11]

36 people in the club

5 0

3 years ago

3 – 4х = — 60 + 3x What is it?

belka [17]

Answer:

Step-by-step explanation:

3−4x=−60+3x

Step 1: Simplify both sides of the equation.

3−4x=−60+3x

3+−4x=−60+3x

−4x+3=3x−60

Step 2: Subtract 3x from both sides.

−4x+3−3x=3x−60−3x

−7x+3=−60

Step 3: Subtract 3 from both sides.

−7x+3−3=−60−3

−7x=−63

divide by -7

5 0

3 years ago

Read 2 more answers

Geometry . Cosines / sines. Find a and round to the nearest 10th

Lorico [155]

This is the good part of Trigonometry, actually measuring triangles. It's much better than all the identities around sine and cosine and the rest, which actually have more to do with circles than triangles.

This part of trig has a short menu:

Law of Cosines. Three ways to write it, one is $c^2 =a^2+b^2-2ab \cos C$

Law of Sines: $\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

Triangle angles: $A+B+C=180^\circ$

and two special cases of the Law of Cosines, the Pythagorean Theorem

$C=90^\circ, \quad \quad c^2=a^2+b^2$

and the Collinear Points Theorem:

$C=180^\circ, \quad \quad c^2=a^2+b^2 - 2 a b \cos 180^\circ = a^2+b^2+2ab=(a+b)^2$

$c = a+b$

Here we choose Triangle Angles followed by Law of Sines:

A = 180 - 105 -15 = 60 degrees

$\dfrac{a}{\sin 60^\circ}= \dfrac{2}{\sin 105^\circ}$

$a= \dfrac{2 \sin 60^\circ}{\sin 105^\circ} = 1.793...$

Answer: 1.8 cm

When I was a student we'd be expected to get $\sin 105^\circ$ exactly and get

$a = 3 \sqrt{2} - \sqrt 6$

But that was before online homework.

5 0

3 years ago

Find the number of even-numbered subsets that have only even numbers from the set (1,2,3,4,5,6...100)

vladimir1956 [14]

Answer:

Step-by-step explanation:

You could use the 'brute force' method, which would be to simply write out all the possible subsets. We could avoid repetition within the subsets.

{2} would be the first subset; it contains one even number.

Next would be {2, 4}, next {2, 4, 6} ... {2, 4, 6, ... 94, 96, 98, 100}. Provided that we correctly understand what this problem is asking for, writing out and then counting all these subsets should answer the question.

3 0

3 years ago