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ivann1987 [24]
3 years ago
13

How do you use the associative property to write an expression equivalent to (w+9)+3

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

<u>Solution:</u>

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

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

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

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If you would like to know what is the amount of money Yul should leave for the tip, you can calculate this using the following steps:

20% of $14.50 = 20% * 14.50 = 20/100 * 14.50 = $2.9

Result: Yul should leave $2.9 for the tip.
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7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x
bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20

Revenue:

The revenue is given by the following equation:

R = 15x

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

\frac{4x}{3} + 20 = 15x

15x - \frac{4x}{3} = 20

\frac{45x}{3} - \frac{4x}{3} = 20

Multiplying everything by 3

45x - 4x = 60

41x = 60

x = \frac{60}{41} = 1,...

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

[

7 0
3 years ago
in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y
vlada-n [284]
I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

5 0
3 years ago
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