Ms. Cassidy is taking students to the movies. Each ticket costs $6. Ms. Cassidydecides that if she has any extra money left after buying tickets she will buy an
extra-large popcorn that costs $5. If Ms. Cassidy has $395 to spend on tickets,
will she have any leftover money to buy the extra-large popcorn? Explain why or
why not on the lines below.

Answers

Answer 1
Answer:

Answer: 64 tickets with $5 left for the extra-large popcorn.

Explanation:

      To solve this, we can divide $395 by 6. If the remainder is greater than or equal to 5, she can afford the popcorn. If not, she won't be able to. See attached for the long division. This shows she can buy 65 tickets with $5 left for the popcorn.

Answer 2
Answer:

Answer:

To determine whether Ms. Cassidy will have any leftover money to buy the extra-large popcorn, we need to calculate the total cost of the movie tickets and compare it to the amount of money she has.

Let's assume Ms. Cassidy buys 'x' tickets. Each ticket costs $6, so the total cost of the tickets can be calculated as 6x.

Given that Ms. Cassidy has $395 to spend on tickets, we can set up an equation:

6x = 395

Now let's solve for 'x':

x = 395 / 6 ≈ 65.83

Since we cannot have a fraction of a ticket, we can round down to the nearest whole number:

x = 65

So Ms. Cassidy can buy a maximum of 65 tickets with $395.

Now, let's calculate the total cost of 65 tickets:

Total cost = 6 * 65 = $390

Since the total cost of the tickets is $390, which is less than the $395 Ms. Cassidy has, she will have some money leftover.

The question states that if she has any extra money left after buying tickets, Ms. Cassidy will buy an extra-large popcorn that costs $5. Since she has $5 left after buying the tickets, she will be able to buy the extra-large popcorn.

Therefore, Ms. Cassidy will have enough money ($5) to buy the extra-large popcorn after purchasing the tickets.

Step-by-step explanation:


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at a local fitness center, members pay a $12 membership fee and $5 for each aerobic class. Nonmembers pay $6 for each aerobic class. for what number of aerobics classes will the cost for member and nonmembers be the same? solve

Answers

Answer with Step-by-step explanation:

Members pay a $12 membership fee and $5 for each aerobic class.

i.e. if x is the number of aerobic classes then,

Members have to pay=5x+12

Nonmembers pay $6 for each aerobic class.

i.e. if x is the number of aerobic classes then,

Non members have to pay=6x

We have to determine the number of classes so that they both have to pay same amount

i.e. we have to find the value of x in

6x=5x+12

Subtracting both sides by 5x, we get

x=12

Hence, for 12 classes members and nonmembers have to pay the same amount

Make an equation:

5x+12=6x

Use the subtraction property:

x=12

The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.

When the equation a – bx = cx + d is solved for x, the result is x = .Use the general solution to solve 5 – 6x = 8x + 17.

Answers

The value of x in the equation a – bx = cx + d is = a - d / c + b

The value of x in the equation  5 – 6x = 8x + 17 is - 6 / 7

a - bx = cx + d

add bx to both sides of the equation

a - bx + bx = cx + bx + d

a = cx + bx + d

subtract d form both sides of the equation

a - d = cx + bx + d - d

a - d = cx + bx

Distributive law:

using distributive law on the right side of the equation

a - d = x (c + b)

divide both sides by (c + b)

Therefore,

x = a - d / c + b

Let's use the same method to solve 5 – 6x = 8x + 17

5 – 6x = 8x + 17

add 6x to both sides

5 – 6x  + 6x= 8x + 6x + 17

5 = 14x + 17

subtract 17 from both sides

5 - 17 = 14x + 17 - 17

-12 = 14x

divide both sides by 14

x = -12 / 14

x = - 6 / 7

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PLS HELP, WILL GIVE BRAINLIEST​

Answers

11x-2 that’s the answer
the answer should be 11x-2

3/10 of the fruits at a fruit stall are oranges. The rest are apples and pears. The ratio of the number of apples to the number of pears is 7:4. The total number of pears and apples is 528 more than the number of oranges.How many more apples than pears are there at the stall?

Answers

Answer: 880

Step-by-step explanation:

What is the product of 4xy and y2 + 2x?4xy 3 + 4xy
4xy 2 + 8x 2y
4xy 3 + 8x 2
4xy 3 + 8x 2y

Answers

The product of 4xy and y² + 2x can also be written as
4xy(y² + 2x)

When we have brackets like this, we multiply whatever is left of the brackets by everything inside.

1) 4xy multiplied by y²
    4xy x y² = 4xy³

2) 4xy multiplied by 2x
    4xy x 2x = 8x²y

3) Add together 4xy³ and 8x²y 
    4xy³ + 8x²y

Brandon mixed 6.83lb of cashews with 3.57lb of pistacios. after filling up 6 bags that were the same size with the mixture, he hadd 0.35lbof nuts left. what was the weight of each bag?

Answers

The weight of each bag filled by Brandon, is \fbox{\bf1.675\,lb}.

Further explanation:

The amount of cashews and pistachios mixed are 6.83\,lb and 3.57\,lb respectively then the total weight of mixture is the sum of cashews and pistachios.

After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is 0.35\,lb.

Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.

\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\n&=10.4-0.35\n&=10.05\n\end{aligned}

Now, this obtained amount of mixture weighing 10.05\,lb is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,

\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\n&=1.675\n\end{aligned}

Thus, the weight of each of the six bags that Brandon fills, is \fbox{\bf1.675\,lb}.

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Answer details:

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.


weight of mixture = 6.83+3.57=10.40lb

amount left= 0.35lb
rest = 10.4-0.35= 10.05lb
rest is filled in 6 bags.
weight in each bag=10.05/6= 1.675lb

hence weight of each bag is 1.675lb