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laiz [17]
3 years ago
11

You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill.

Mathematics
2 answers:
Sindrei [870]3 years ago
7 0

Answer:

$1.77

Step-by-step explanation:

$5.25 + $2.98 to find the total (I am not including tax, as there is not a mentioned rate) = $8.23

10.00 - 8.23 = 1.77 so, $1.77 is the change.

Minchanka [31]3 years ago
5 0

Answer:

$1.77

Step-by-step explanation:

Add the Movie Ticket and Popcorn together

$5.25 + $2.98

Simplify

$8.23

Subtract the total from your 10 dollar bill

$10 - $8.23

Simplify

<u>$1.77</u>

<u />

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Find a degree 3 polynomial having zeros -5, 1 and 5 and the coefficient of x^3 equal 1
mote1985 [20]

Answer:

x^3 -x^2 -25x +25

Step-by-step explanation:

\text{The roots are,}~ \alpha  = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25

7 0
2 years ago
Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I
valentina_108 [34]

Answer:

Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.

The base case is n=2. P(2) is true because 2 is prime.

Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that

p1*p2*...*pj = a

pj+1*pj+2*...*pl = b

As a result

n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl

Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.

5 0
3 years ago
HELP ME ON THIS PLSS Kathy swims at least 6 laps everyday. Write an inequality to show how long Kathy swims each day.
mina [271]

Answer:

x ≥ 6.

Step-by-step explanation:

Given : Kathy swims at least 6 laps every day.

To find: Write an inequality to show how long Kathy swims each day.

Solution : We have given that Kathy swims at least 6 laps every day.

We can see from given statement Kathy can swim 6 laps or greater then 6 laps in a day.

Then we use greater than or equal to sign  ( for at least)

Since x ≥ 6.

Therefore, x ≥ 6.

3 0
2 years ago
Im struggling to answer this question.
blsea [12.9K]

Answer:

35/100

Step-by-step explanation:

You have 12% of horses (10÷84=0.1190 and 0.1190 = 12%)

You have 54% of sheep (54÷84=0.535 and 0.535=54%)

Subtract the amount of Sheep and Horses for the total amount of animals

84-(10+54)

You have 35% of cows (29÷84=0.345 and 0.345=35%)

35% to a fraction is 35/100 (simplified version 7/20)

I hope this helps (:

8 0
3 years ago
Read 2 more answers
Numbers like 10, 100, 1,000, and so on are <br><br> called?
mylen [45]
Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.
3 0
3 years ago
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