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Sholpan [36]
3 years ago
11

Use the associative property of addition to rewrite (20 + 11) + 5. Which expression is equivalent? O A. 5(20 + 11) B. (10 + 10 +

10) + 5 O C. 20 + (11 +5) D. (20 - 11) +5​
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0

Answer:

The answer is C

Step-by-step explanation:

Alex3 years ago
5 0

Answer:

i also needed help on this qustion and the awnser is

Step-by-step explanation:

C.

its the same problem and nothing changed besides the order↑≠≈

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What is the length of side AB of parallelogram ABCD?<br> units<br> 4g - 8<br> B<br> q+4
Andrews [41]

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

6 0
2 years ago
Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
3 years ago
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
horsena [70]

Answer: 20 feet by 20 feet.


Step-by-step explanation:

1. You know that x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for x, as you can see below:

- You have that:

(a-b)^{2}=a^{2}-2ab+b^{2}

- Then, you obtain the following quadratic equation:

(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0

- Apply the Quadratic formula to solve it:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:

x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


3 0
3 years ago
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The students in a class and the teacher visited a park on a field trip. The students were taught how to plant seeds, and the tea
drek231 [11]
The answer is B because the teacher is keeping count of the seeds that EACH student plants
6 0
3 years ago
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67.5 Divided by 2.25 show work please:(!!
Andrej [43]
Your answers is 30, use this pic to show ur work

7 0
2 years ago
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