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KiRa [710]
3 years ago
5

Which property does each equation demonstrate? x2 + 2x = 2x + x2 (3z4 + 2z3) – (2z4 + z3) = z4 + z3 (2x2 + 7x) + (2y2 + 6y) = (2

y2 + 6y) + (2x2 + 7x)
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

1 . Closure

2. Distributive

3. Closure

Step-by-step explanation:

Here, we want to know the type of property exhibited or displayed by each of the equations in the question.

Equation 1 displays the closure property.

What this means that if we make an addition operation either way, we would get same answer. So we say that addition is closed for that equation.

Equation 3 exhibits closure property as well. If we go either way on the addition operation for that equation, we are bound to get the same answer.

Equation 2 exhibits the distributive property.

Each term in the bracket is multiplied by the subtraction symbol before we proceeded to complete the arithmetic operations

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3 years ago
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You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site
tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

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8 0
4 years ago
Solve for P:<br><br> 9(p−4)=−18<br><br> Please Explain
vekshin1

Answer:

<em>p</em> = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

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

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.

9(<em>p</em> - 4) = -18

9*<em>p</em> - 9*4 = -18

9<em>p</em> - 36 = -18

Add 36 on both sides to isolate the variable (in this case, <em>p)</em>

9<em>p</em> = -18 + 36

You can also write it like this; 9<em>p</em> = 36 - 18

9<em>p</em> = 18

Divide 9 to isolate <em>p</em>

<em>p</em> = 2

So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

3 0
3 years ago
Pretty pls help me with A and B with work SHOWN
-BARSIC- [3]
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18/36 x 1/10= 5/100

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4 years ago
An Airplane travels about 1500km in a straight line between Toronto and Winnipeg . However, the plane must climb to 10 000 m dur
aleksandrvk [35]
 it adds 227km more to the flight
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