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Black_prince [1.1K]
3 years ago
5

Use the distributive property to simplify the following expression 4x(2x-6)

Mathematics
1 answer:
Drupady [299]3 years ago
3 0
4x (2x - 6)

8x - 24x 

= -16x

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I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
Diane received 300 votes in the election for student council president. That was 60% of the students who voted election. How man
VikaD [51]

Answer:

  500

Step-by-step explanation:

The problem statement tells you ...

  300 = 0.60×voters

Dividing by the coefficient of the variable gives ...

  300/0.60 = voters = 500

500 students voted in the election.

8 0
3 years ago
Read 2 more answers
How many times does 13 go into 80
mars1129 [50]
13 x 6 = 78 it cant be multiplied anymore so it can go into 80 about 6 times.
8 0
3 years ago
Read 2 more answers
Dont comment under here if you and just commenting for points.. i really need to pass this:(
Scilla [17]

Answer:

the y intercept is -9/2 or -4 1/2

4 0
3 years ago
Expand and simplify 9a+3(8-2a).
olchik [2.2K]
Hi there

9a + 3(8-2a)
9a + 24 - 6a
(9a -6a) +24
3x + 24


I hope that's help ! 

3 0
3 years ago
Read 2 more answers
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