Name the property that is illustrated in each equation

1 answer:

6 0

The associative property says that if we're adding a bunch of numbers together, the parentheses do not affect the order in which we add. that means:
a + (b + c) is the same as (a + b) + c
therefore:
h + (y + 4.1) = (h + y) + 4.1
this is illustrating that property, specifically in regards to addition. so the answer is the associative property of addition.

the commutative property, on the other hand, states that order itself doesn't affect the answer when we're adding a bunch of numbers together. this means that:
a + b + c = c + b + a = a + c + b and so on and so forth.
so when we have the following equation:
t * 1.5 = 1.5 * t
this is demonstrating the commutative property of multiplication.

s * p = p * s
guess what! this is really the same question as before. all we're doing is flipping the two numbers(variables) around, showing that order does not matter. thus, the answer is yet again the commutative property of multiplication.

(0 + z) + 8 = (z + 0) + 8
this one might look like the associative property, but the associative property involves moving the parentheses around or getting rid of them altogether to show that the parentheses don't matter to the final answer. In this one, all that is happening is the 0 and z are being flipped inside the parentheses, illustrating the commutative property of addition.

You might be interested in

Can some explain how to do this?

zepelin [54]

Answer:

Exact Area = 210.25pi - 210
Approximate Area = 450.185

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a = 20
b = 21
c = unknown

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

4 0

3 years ago

The mean is usually the preferred measure of central tendency, but there are specific situations in which it is impossible to co

sergey [27]

Answer: a. It is commonly referred to as the arithmetic average.

b. It is algebraically defined (that is, there is an equation you can use to calculate its value).

c. It is easily influenced by extreme scores.

Step-by-step explanation:

The mean is also referred to as the "average" and it is gotten by adding every number and the dividing the value gotten by the number of the numbers used for the calculation.

It should be noted that the mean is algebraically defined and can be easily influenced by extreme scores.

4 0

3 years ago

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFract

Lena [83]

Answer:

The correct answer is p $\geq$ $\frac{74}{80}$

Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( ) or less than equal to ( ) signs. We solve the above given inequality to find the solutions of the unknown p. An inequality reverses if and only if we we multiply both sides with a negative quantity. Addition or subtraction does not change the sign in the inequality.

$\frac{7}{10} \geq 1 + \frac{5}{8} + p\\\\\frac{7}{10} \geq \frac{13}{8} + p\\\\\frac{7}{10} - \frac{13}{8} \geq p\\\\\frac{-74}{80} \geq p\\p \leq \frac{-74}{80} \\p\geq \frac{74}{80}$