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Brums [2.3K]
2 years ago
14

Plz answer both and i need help

Mathematics
1 answer:
Whitepunk [10]2 years ago
6 0

Answer:

1 is commutative property

2 is associative property

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Subtract fractions with different denominators
Tems11 [23]

Answer:

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

Step-by-step explanation:

We know that

  • A fraction consists of two integers—one on the top, and one on the bottom.
  • The top one is numerator, the bottom one is denominator, and
  • These two numbers are separated by a line.

Let us consider two different fractions with different denominators

  • \frac{10}{15}
  • \frac{2}{5}

Lets subtract the two fractions

\frac{10}{15}-\frac{2}{5}\:\:\:\:

\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}

=\frac{2}{3}-\frac{2}{5}

\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5

\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}

\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3

\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}

so

=\frac{10}{15}-\frac{6}{15}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{10-6}{15}

\mathrm{Subtract\:the\:numbers:}\:10-6=4

=\frac{4}{15}

Therefore,

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

5 0
3 years ago
Scott walks to and from school each day. Each round trip is 3 kilometers long.
natka813 [3]

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds  = 3 km

Therefore,

x rounds = 3x km

Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.

The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below

  • y = 3x

read more: brainly.com/question/14197865?referrer=searchResults

8 0
3 years ago
How do you find an exact value for sin of 40 degrees without using a calculator
Cerrena [4.2K]
Sin 40° + sin 130° + sin 220° + sin 310° = ...
sin 130° = sin 50°;
sin 220° = - sin 40°;
sin 310° = - sin 50°
... = sin 40° + sin 50° - sin 40° - sin 50° = 0
Answer: 0.

8 0
3 years ago
If the relationship between x and y is quadratic,
maxonik [38]
I am not sure but I think I know ok
4 0
3 years ago
Mr. and Mrs. Smith's children all play different sports. They want to buy a combination training sets, which each cost $149, vol
faust18 [17]
How many kids does he have
7 0
3 years ago
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