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3 years ago

Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?

Mathematics

1 answer:

sineoko [7]3 years ago

4 0

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

Commutative Property - Gives you the ability to switch the order of the numbers in an expression.

Associative Property - Let's you move the parenthesis in an expression but not the numbers.

Inverse - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property

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4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

5 0

3 years ago

The sum of two times x and one is at least 11. Write this word sentence as an inequality

Aneli [31]

Answer:

2x + 1 ≥ 11

Step-by-step explanation:

I believe this is it. Hope this helped!

7 0

3 years ago

JK = 7x + 9 JL = 114, and KL = 9x + 9, Find KL.

VikaD [51]

Answer:

KL= 63

Step-by-step explanation:

JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)

*J_______________________K___________________________L

JL=JK+KL

114=7x+9+9x+9

114-18=16 x

16x=98

x=98/16=6

KL= 9x+9

KL=9(6)+9

KL= 63

8 0

3 years ago

What is 5/16 as a measurement decimal

Lelu [443]

Answer:

Step-by-step explanation:

a. 0.31

8 0

2 years ago

Which quadrant contains -11pi/18 and what is the reference angle?

vekshin1

Answer:

Option 1 is correct.

Step-by-step explanation:

Given angle $\frac{11\pi}{18}$ . we have to find the quadrant and the reference angle.

Angle given is $\frac{11\pi}{18} i.e \frac{11}{18}\times 180^{\circ}=110^{\circ}$

Hence, the angle is 110° lies in second quadrant.

Now reference angle, the smallest angle that you can make from the terminal side of an angle with x-axis.

which is $\pi-\frac{11\pi}{18}=\frac{7\pi}{18}$

Hence, option 1 is correct.

6 0

2 years ago