All categories

3 years ago

Which of the following equations is an example of the Associative Property of Addition?

Mathematics

2 answers:

Sholpan [36]3 years ago

8 0

Answer: I think the answer to your question is option B.

blagie [28]3 years ago

3 0

Answer: Choice B

(3+4) + 2 = 3 + (4+2)

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

Explanation:

The general rule for the associative property of addition is

(a+b)+c = a+(b+c)

the a,b,c stay in the same order from left to right. The only thing that changes is the way we group the pair of terms. On the left side, we have a & b together with c left out. Then on the right side, we have b & c together with 'a' excluded.

Addition of any group of numbers can be done in any order, which is why this property is valid (though perhaps there's a more rigorous proof out there). For this specific problem, a = 3, b = 4, and c = 2.

You might be interested in

What is the area of the partial circle with a radius of 8 cm? Use 3. 14 for pi.

Olegator [25]

Radius=r=8cm

$\\ \tt\hookrightarrow Area=\pi r^2$

$\\ \tt\hookrightarrow Area=\pi 8^2$

$\\ \tt\hookrightarrow Area=64\pi$

$\\ \tt\hookrightarrow Area=64(3.14)$

$\\ \tt\hookrightarrow Area=200.96cm^2$

8 0

2 years ago

Read 2 more answers

In a game for three students, one opens a book and multiplies the numbers of the facing pages. This student states the product,

Simora [160]

The facing page numbers are 134 and 135

7 0

2 years ago

Read 2 more answers

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It

Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, $\bar{x}$ = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}$

We use one-tailed(left) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0

3 years ago

Consider the following system of equations.

Dmitrij [34]

Answer:

C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.

Step-by-step explanation:

2x-y=12

-3x-5y=-5

multiply the first equation by -5

-10x +5y = -60

add the 2 equations together

-3x-5y=-5

-10x +5y = -60

-------------------------

-13x = -65

We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation

6 0

3 years ago

HELP ME I DON'T UNDERSTAND THIS :(

andriy [413]

Answer:

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AD}{WZ}$ = $\frac{CD}{YZ}$ , substitute values