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3 years ago

Which operations are commutative and

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

Answer:

addition
multiplication

Step-by-step explanation:

When learning about commutative and associative properties, we learn that ...

a + b = b + a . . . . . addition is commutative

ab = ba . . . . . . . . . multiplication is commutative

But we also know that ...

a - b ≠ b - a . . . . . . subtraction is not commutative

a/b ≠ b/a . . . . . . . . division is not commutative

We also learn that ...

a + (b+c) = (a+b) +c . . . . addition is associative

a(bc) = (ab)c . . . . . multiplication is associative

And of course, ...

a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative

a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative

_____

However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:

a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply

(a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply

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3 years ago

Read 2 more answers

Find the area. 5cm 3cm 4 cm

Ostrovityanka [42]

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

$\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}$

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

$\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}$

Determining the perimeter of the triangle:

$\text{Perimeter of triangle = Sum of it's side lengths}$

$\implies \text{Perimeter of triangle =}\ 5 + 4 + 3$

$\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}$

Determining the half of perimeter:

$\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}$

$\implies s = \dfrac{12}{2}$

$\implies s = 6$

Replacing the value of "s" in the formula:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

Evaluating the area:

$\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}$

$\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}$

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$\implies \text{Area of triangle} = 6 \ \text{cm}^{2}$

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2 years ago

What is the colon form? :)

Ann [662]

Answer and Step-by-step explanation:

I think this is correct? The directions aren't very clear/descriptive, so sorry if this is wrong.

1. wins:games

2. wins:losses

3. losses:wins

4. games played:wins

5. losses:games played

1. 8:12, or 2:3

2. 3:7

3. 5:3

4. 12:15, or 4:5

5. 20:25, or 4:5

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3 years ago

PLEASE HELP! NEED TO SUBMIT SOON! NOT SURE IF I GOT THE RIGHT ANSWERS! THANK YOU IN ADVANCE!!!

Eddi Din [679]

Nice

4s=amount of grams of protine in straberry for s ounces
3b=amount of grams of protine in banana for b ouces

total ounces is 6
s+b=6

total grams is 22
4s+3b=22

s+b=6
4s+3b=22
those are the 2 equations

a.
s+b=6
4s+3b=22

b. elmination, we can elminate alll the b's and have 1s left

c.
multiply first equaiton by -3 and add to second

4s+3b=22
-3s-3b=-18 +
1s+0b=4
s=4
sub
s+b=6
4+b=6
minus 4
b=2

4 oz straberry
2 oz banana

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3 years ago

Question 6 (1 point)

Alika [10]

59 cans ... she counting up by 5s so multiply 5 x 10

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3 years ago