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fiasKO [112]
3 years ago
14

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $

5050 is collected. How many children and how many adults attended?
Mathematics
1 answer:
love history [14]3 years ago
7 0
$1.50C + $4A= $5050
 C + A = 2200

-4(C + A = 2200)
-4C - 4A = -8800
1.50C+4A = 5050
-----------------------
-2.5C =- 3750
-2.5C/-2.5 =- 3750/-2.5
C = 1500

C + A = 2200
1500 + A =2200
1500 - 1500 + A = 2200 - 1500
A = 700

CHECK
$1.50C + $4A= $5050
$1.50(1500) + $4(700)= $5050
$2250 +$2800 =$5050
$5050 = $5050

 C + A = 2200
1500 + 700 =2200
2200 = 2200
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Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

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2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

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See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

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What is the absolute value of -5/8?
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7 0
3 years ago
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Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.

Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.  

Any function f(d) to find excess of children more than adults can be written as follows :-  

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⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9

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