A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Answers

Answer 1
Answer: b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600




11,600 tickets sold before
8400 tickets sold after

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A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?12 ≤ x + y
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12 ≤ 2x + 3y
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Answers

The inequality that represents the possible ways Nina can eat 12 or more grams of protein is 12 ≤ 2x + 3y, where x is the number of cheese squares that she eats and y is the number of turkey slices that she eats. In equation, 12 ≤ 2(2) + 3(3) to  12 ≤ 4 + 9 to 12 ≤ 13.

Answer:

The letter answer is c

Step-by-step explanation:

How much would $500 invested at 7% interest compounded annually be worth after 4 years? Round your answer to the nearest cent

Answers

Answer: $655.40

Step-by-step explanation:

Given : Principal amount = $500

The rate of interest  compounded annually  =7%=0.07

Time = 4 years

We know that compound amount after n years is given by :

A=P(1+r)^n

Thus for the given situation , the compounded  amount after 4 years will be :-

\n\Rightarrow\ A=500(1+0.07)^4\n\Rightarrow\ A=500(1.07)^4\n\Rightarrow\ A=\$655.398005\approx\$655.40........\text{to the nearest cent.}

If 7% interest is compounded annually, then the value of the $500
after 'Y' years in the future is
                                                         $500 (1.07)^to the 'y' power .

For this exercise, it's    $500 (1.07)⁴ =  $ 655.40 .     

Which of the following equations is equivalent to y=2^x?y = log2x
x = log2y
y = logx2

Answers

Hello,

y=2^(x)
==>log_(2)(y) =x*log_(2)(2)
==>log_(2)(y) =x*1
==>x=log_(2)(y)

Answer B


Answer:

B, second part is X=20

Step-by-step explanation:

If we have a sample of silicon (Si) atoms that has 14 protons, 14 electrons, and 18 neutronsWhat is the name of this specific silicon isotope?

silicon-14
silicon-32
silicon-46
silicon-153

Answers

Answer:

Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.

Step-by-step explanation:

Hope this helps

Answer:

b

Step-by-step explanation:

edge 2022

What is the probability a 1-6 number cube lands on a composite number? 0.25 0.33 0.50 0.875

Answers

a compsite number is a number that is NOT prime
technically 1 is not prime since the definition is divisible by 1 and itself
2 is prime
3 is prime
4 is not prime
5 is prime
6 is not prime

2 solutions for 2 different views:
A: 1 is prime
B: 1 is not prime

A: 1 is prime
so we have 1,2,3,5 are prime and 5 and 6 are not
probablity is (desired outcomes)/(total possible outcomes)
desired outcomes=2 (5 and 6)
total possible outcomes=6 (6 numbers on cube)
2/6=1/3=0.33
probabiligy is 0.33


B: 1 is not prime
if 1 is not prime then we have 2,3,5 as prime and 1,4,6 as not prime
probability is (desired outcomes)/(total possible outcomes)
desired outcomes=3 (1,4,6)
total posible outcomes=6 (6 faces on cube)
3/6=1/2=0.5
the probability is 0.5



TECHNICALLY 1 is not prime so the answe ris 0.5

Answer=0.5

To find probability, we must find out the chances of rolling and even number. Out of the 6 sides on a dice, only 3 are even. So 3/6 are even

3/6=0.5

Rewrite the equation 11 x - 5 x 2 + 7 = 6 in standard form and identify a, b, and c

Answers

Answer:

5x^2 - 11x = 1

This is now in standard form, where a = 5, b = -11, and c = 1.

Step-by-step explanation:

To rewrite the equation 11x - 5x^2 + 7 = 6 in standard form, we need to rearrange the terms so that the polynomial is in descending order of degree, with no missing terms. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

So, let's start by moving the constant term to the right-hand side of the equation:

11x - 5x^2 = 6 - 7

11x - 5x^2 = -1

Next, we can multiply both sides of the equation by -1 to make the coefficient of the x^2 term positive:

5x^2 - 11x = 1

This is now in standard form, where a = 5, b = -11, and c = 1.