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alekssr [168]
2 years ago
14

Use the Associative Property of Addition to write an expression equivalent to r+ (h+t). r+ (h+t) = Enter your answer in the answ

er box. Save for Later
Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

Answer:

Associative propertry of addition.

Step-by-step explanation:

The associative property of addition states that:

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

It states that we can add numbers regardless of the groups. The sum does not change  irrespective of how the addends are grouped.

We are given the expression:

r + (h + t)

It can be written as:

(r+h) + t

It can also be written as:

r + (h+t) = (r+t) + h = (h+t)+r = h + (t+r)

Whatever maybe the arrangement of r, h and t, their sum will always be equal. We can regroup them in many ways but the sum remains the same.

You might be interested in
Hi can you help with some ratio and proportion questions​
pochemuha

Answer:

1a. 12 : 40

1b. 15 : 21

1c. 24 : 44

1d. 2 : 25

2. 40 boys and 100 girls

3. 96 girls

4. £71.43

5a. 9 : 4

5b. 3 : 1

5c. 3 : 5

6. 210 : 90

7. Sorry, I couldn't figure out how to solve this question :(

Step-by-step explanation:

Since I'll be using a similar method to solve these questions, I won't go into a detailed explanation for how I solved every single question. If you do need extra help, please ask in the comments below my answer.

1. Let's use part (a) as an example. The ratio is 3:10. To new ratio is ?:40. So, 10 becomes 40. What number multiplied by 10 equals 40? The answer is 4. If 10 is multiplied by 4, then 3 must be multiplied by 4 as well. 3*4 = 12, so the ratio is 12:40.

In part b the ratio is multiplied by 3, part c is 4, and part d is 1/2.

2. To solve this, add the values on both sides of the ratio together: 2 + 5 = 7. Now, divide the total number of pupils, 140, by 7: 140/7 = 20. Finally, multiply 20 by both sides of the ratio: 2 * 20:5 * 20 = 40:100. There are 40 boys and 100 girls.

3. To solve this I used the same method as the one I used in question 1.

4. The ratio is 5:140, where 140 becomes 2000. To solve, use the method used in question 1.

5. Simplifying ratios is the same as simplifying fractions. Find the greatest common factor of the values on both sides of the ratio and divide both sides by that factor. For example, in part a the factor for 45:20 is 5. 45/5 = 9 and 20/5 = 4. The ratio becomes 9:4.

For part b the factor is 9 and for part c the factor is 50.

6. Same method as was used in question 2.

Hope this helps :)

5 0
3 years ago
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a tr
tresset_1 [31]

Answer:

Step-by-step explanation:z=180

Interior angle =180

8 0
3 years ago
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
STALIN [3.7K]

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes

7 0
3 years ago
Hurry 50 points for correct answer
Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation x=\sqrt{6x+7} can be solved by squaring both sides:

x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

1 = \sqrt{-1}\\ 7 = \sqrt{49}

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0
3 years ago
There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression represents the number of votes Ms.
Mamont248 [21]

Answer:

Step-by-step explanation:

4 0
2 years ago
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