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Andrew [12]
3 years ago
7

Create a problem that uses the associative property to find the sum of at least 3 rational numbers. Show how the associative pro

perty is used to solve the problem
Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
Here is a scenario where the associative property could be used.  Two friends went to a movie theater and bought a movie ticket, popcorn, and a drink.  The first friend bought their $6 ticket online and paid for the $4 drink and  $3 popcorn together at the concession stand.  The other friend bought the $6 ticket and the same size drink at the counter.  Later, they decided they wanted a $3 popcorn and went back later.  

Here is the math problem showing each scenario as equal.  The associative property is being used.

$6 + ($4 + $3) = ($6 + $4) + $3
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Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = \frac{3}{4} x - 3 ← in slope- intercept form

with slope m = \frac{3}{4}

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - \frac{4}{3} x + 4 ← in slope- intercept form

with slope m = - \frac{4}{3}

Then

\frac{3}{4} × - \frac{4}{3} = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0
3 years ago
((Image Included))
Bas_tet [7]

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

6 0
3 years ago
Read 2 more answers
Lexi is making an orange drink for party. She puts 4 pints of orange drink and 2 pints of water into a punch bowl. Her friend Ol
Nina [5.8K]
I think she can add 5p more of orange which is 9p and 6p more water which is 8p. I'm pretty sure this works because 9 is the next closest multiple of 3 and 8 is one number less than that. Hope this helps!
8 0
3 years ago
Please HELP IM FALLING MATH PLEASE HELP
Ann [662]

Answer:

D

Step-by-step explanation:

32+35=67

90-67=23

it won't let me type in the comments for some reason but i got 90 because andgle MLQ is a right angle so it is 90 degrees

8 0
3 years ago
Which expression is equivalent to 1/4(8-6x+12)?
disa [49]
First simplify inside parenthasees 8-6x+12 -6x+8+12 -6x+20 distributive poproty a(b+c)=ab+ac 1/4(-6x+20)=-6x/4+20/4= -3/2x+5
8 0
3 years ago
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