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nasty-shy [4]
3 years ago
8

Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four ti

mes the number of $5 tickets sold, and the club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Solve the system of equations to determine how many of each ticket were sold.     1.5x + 5y = 1152    
x = 4y – 2
Which one-variable linear equation can be formed using the substitution method?

How many $5 raffle tickets were sold?

Which equation can be used to determine how many $1.50 raffle tickets were sold?

How many $1.50 raffle tickets were sold?
Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0

Answer:

11y = 1155

$5 raffle tickets: 105

x = 4(105) - 2

$1.5 raffle tickets: 418

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

1.5(4y - 2) + 5y = 1152

6y - 3 + 5y = 1152

11y = 1155

y = 105

x = 4(105) - 2

x = 418

marysya [2.9K]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

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x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
4 0
3 years ago
4(3x+5)= -4
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Answer/explanation

4(3x+5)=-4

You will distribute the four to every term in the parenthesis,

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4 0
4 years ago
A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)​
Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

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7 0
3 years ago
Write and solve an equation to represent the following situation: an electrician earns an hourly wage of $13.50 plus a $75 bonus
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3 years ago
24 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
sdas [7]
This is not my answer, someone else answered this question before.

red:green

5:3
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8 units
4qt=8 units
divide by 8
0.5qt=1unit
5 unit=red
5*0.5=2.5qt, red=2.5qt
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result:
2.5qt red
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