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ziro4ka [17]
3 years ago
8

40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheape

r ticket. please i need this for an assignment​
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

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Four dice, each numbered in the usual way from 1 to 6, are colored white, red, green and blue respectively. After casting them a
Delvig [45]
Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
 3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
  We need to interpret the statement given above.   The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has. 
 3+4+4+6+6+5=  28 / 6
                        = 4.67    The mean is 4.67
For the variance, we will use the mean above ( 4.67 )

1. Squared the mean and subtract how many numbers are present in the set. 
   4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result 

  3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25

9+16+16+36+36+25= 138 

3. Subtract the result of #2 with #1
          138 - 3.64=  134.36 set this aside

4. Subtract 1 from the total numbers you have in your set

 6 - 1= 5 

5. Divide the result we have in #3 with the result of #4

  134.36 / 5= 26. 872

So the variance is 26.872 
5 0
3 years ago
Help me please..... please
Oksana_A [137]

Answer:

general rule Un=1.8n-21

U100=1.8(100)-21=159

Step-by-step explanation:

a5=a+4d,  a5=-12

a10=a+9d,  a10=-3

-12=a+4d

-3=a+9d subtract the system of equations

-9=-5d solve for d

d=1.8

substitute d into first equation to find a

-12=a+4(1.8)

a=-19.2

un. = a + (n − 1)d

Un=-19.2+(n-1)(1.8)

Un=1.8n-21

7 0
3 years ago
mrs. johnson gave a sum of money to her son and daughter in the ratio 5:6. Her daughter received $2400. how muh did Mrs. Johnson
Tresset [83]
To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son.  Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.

So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.

The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.
4 0
4 years ago
I need help asap
GenaCL600 [577]

pato apni sa pato bata is sa dak na sa kuch bi nahi mila ga

5 0
3 years ago
Read 2 more answers
The rear wheel of a lawn tractor has a 20-inch radius. Find the angle (in radians) through which a wheel rotates in 23 seconds i
Minchanka [31]

Answer:

263.12 radians

Step-by-step explanation:

The length of the rear wheel is given by:

L=2\pi r\\L=40\pi

The distance traveled by the lawn tractor in 23 seconds is:

d=13\frac{miles}{hour} *63360\frac{inch}{miles}*\frac{1\ hour}{3600\ seconds}*23\ seconds\\ d=5,262.4\ inches

The angle through which a wheel rotates is given by:

A=\frac{d}{L}*2\pi \\A=\frac{5,262.4}{40\pi}*2\pi\\A=263.12\ radians

The wheel rotates through a 263.12 radians angle.

8 0
3 years ago
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