Miguel and three of his friends went to the movies. They originally had $40. Each boy sent a total of $7.50 on a ticket. How much money did each boy have left after buying his ticket?

Answers

Answer 1
Answer:

If the 40 dollars was for all 4 of the boys in total they would have 10 dollars left if they had to split the 40 and each boy had 10 dollars to get there ticket then they each would have 2.50 left.

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6/20 in simplest form

Find k if (x-3) is a factor of k^(2) x^(2) -kx-2. 

Answers

w(x)=k^2x^2-kx-2\n\n(x-3)\ is\ a\ factor\ w(x)\ then\ w(3)=0.\n\nSubstitute:\n\nk^2\cdot3^2-k\cdot3-2=0\n9k^2-3k-2=0\n9k^2-6k+3k-2=0\n3k(3k-2)+1(3k-2)=0\n(3k-2)(3k+1)=0\iff3k-2=0\ \vee\ 3k+1=0\n3k=2\ \vee\ 3k=-1\n\n\underline{\underline{k=(2)/(3)\ \vee\ k=-(1)/(3)}}
k can be (-1/3) or (2/3).
since (x-3) is a factor. if you put x=3 in the equation, it must be equal to zero. So the equation becomes (9k2 - 3k -2 = 0). if you solve this you will get k=(-1/3) and k=(2/3). You can substitute this k in the original equation and check, (x-3) is a factor.

Laticia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer a their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?

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The answer is 204. Hope I helped :)

What percent of 128 is 32

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We can set up a proportion.

32/128 = x/100

32 * 100 = 3200
128 * x = 128x.

Now we have 128x = 3200.

All we need to do is divide 3200 by 128, so 3200 / 128 = 25, so your answer is 25%.

Bryce bought a bag of cashews.he served 7/8 pound of cashews at a party. This amount represents 2/3 of the entire bag. The equation 2/3n =7/8 can be used to find the number of pounds n in a full bag how many pounds of cashews were in the bag Bryce bought?

Answers

ok so for this problem you you divide 2/3 n by 2/3 and 7/8 by 2/3
you get n= (7)/(8) /  (2)/(3)
to divide fraction you flip the divider over to find the reciprocal
2/3 > 3/2 also you change the division symbol to the multiplication symbol
the equation now is n=  (7)/(8) * (3)/(2)
now you multiply to get 21/16 
the answer is 1 5/16 after you simplify it

Answer: Hello there!

We know that 7/8 lb is equivalent to 2/3 of the entire bag, then the equation to find the number of pounds in the original bag is:

(2/3)*n = 7/8lb

and we want to find the number n.

The first step is divide both sides of the equation by 2/3 (or multiply both sides by 3/2 )

then

(3/2)*(2/3)*n = (3/2)*(7/8)lb

n = (3*7)/(2*8)lb = 21/16lb

now we can "break" the 21 in 16 + 5

n = (21/16)lb = (16 + 5)/16lb = (1 + 5/16)lb

5/8 of 24 oranges were eaten. How many oranges were eaten?

Answers

15 because you have to dive 24 by 8, you get 3. Then you multiply 3 and 5 and you get 15

Final answer:

5/8 of 24 oranges is equal to 15 oranges.

Explanation:

To find the number of oranges that were eaten, we need to multiply the fraction 5/8 by the total number of oranges, which is 24.

  1. First, we multiply the numerator (top number) of the fraction by the total number of oranges: 5/8 × 24 = 5 × 24 / 8 = 120 / 8.
  2. Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 120 and 8 is 8, so we divide both numbers by 8: 120 / 8 = 15 and 8 / 8 = 1.
  3. Therefore, 5/8 of 24 oranges is equal to 15 oranges.

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at the factory, a baseball card is placed in every 9th package of cereal. A football card is placed in every 25th packge of the cereal. what is the first package that gets both a baseball card and a football card?at exactly

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The first package that gets both a baseball card and a football card is 225th package.

It is required to find the first package that gets both a baseball card and a football card.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

We have to find the value of first package that gets both a baseball card and a football card .

The multiples of 9 and 25 and the common multiple is the solution.

9 = 9, 18, 27, 36, 45, .... 225

25 = 25, 50, 75, 100, 125, 150.... 225

Therefore , the first package that gets both a baseball card and a football card is 225th package.

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Answer: 225th package


Step-by-step explanation:

look for the first number where both 25 and 9 are a factor of.

25*1 is 25 which isn't a factor of 9, so it won't be 25.

25*2 is 50, which isn't a factor of 9.

75 is not a factor of 9. (you know because you don't get a whole number when you divide 75 into 9.)

100 is not a factor of 9, nor is 125, 150, 175, or 200.

However, 225 is a factor of both 25 and 9. This makes sense because 25*9 is 225.

This means that the first package with both will be the 225th package.