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natima [27]
3 years ago
9

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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Rewrite the expression with rational exponents as a radical expression
Ann [662]

Answer:

5\sqrt[4]{x} or the fourth answer

Step-by-step explanation:

Apply the rule x^{\frac{m}{n}}=\sqrt[n]{x^m}  to rewrite the exponentiation as a radical.

5\sqrt[4]{x^1}

Anything raised to  1  is the base itself.

Answer = 5\sqrt[4]{x}

Plz mark me brainliest, hope this helps.

8 0
3 years ago
What is the area of this triangle?
tigry1 [53]
Answer:
Area = 48.6 in²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)

This rule is illustrated in the attached image.

Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.

Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Morre Math HARDDDDDDDD
Dafna11 [192]

Answer:

the person above is right it's 4.5 units

give them the crown

7 0
3 years ago
Solve for 3/4u = 12<br> .<br> Simplify your answer as much as possible.
Wittaler [7]

Answer:

u = 16

Step-by-step explanation:

Given

\frac{3}{4} u = 12

Multiply both sides by 4 to eliminate the fraction

3u = 48 ( divide both sides by 3 )

u = 16

6 0
3 years ago
Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he n
Rina8888 [55]

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

4 0
3 years ago
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