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suter [353]
3 years ago
10

A total of 479 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer stu

dent tickets sold than adult tickets. How many adult tickets were sold?
Mathematics
1 answer:
irina [24]3 years ago
8 0

Say the number of adult tickets is x. That means the number of student tickets is 71 less, making it x - 71.

We can add the number of student and adult tickets, because we know their sum is 479.

x + x - 71 = 479

Now, we solve for x.

2x - 71 = 479

2x = 550

x = 275

So, there were 275 adult tickets sold.

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What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
2 years ago
Solve x – 7 &gt; –8.
IgorC [24]
Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = \sqrt{Area}

For Tile A, the length will be:

Length= \sqrt{9}=3  
So length is a Rational number

For Tile B, the length will be:

Length= \sqrt{25}=5  
So length is a Rational number

For Tile C, the length will be:

Length= \sqrt{34}  
So, Length is not Rational.

For Tile D, the length will be:

Length= \sqrt{76}  
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option  
8 0
3 years ago
Problem: -7(2)+y=60, so where do I start?
aev [14]
-7(2)+y=60
-14+y=60
y=60+14
Y=74
4 0
3 years ago
Read 2 more answers
For geometry:(<br><br> will give brainist to the correct answer!!!
Over [174]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

7 0
3 years ago
Suppose you're thinking about buying one of two cars. Car it will cost $17,655. Who can expect to pay an average of $1230 Per ye
Reil [10]

Answer:

9 years

Step-by-step explanation:

A= 17655 + 1230Years

B= 15900+1425years

A=B: 1755=195years

years= 1755/195

years= 9

7 0
3 years ago
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