Daniel is buying trophies and mounting stands for the upcoming basketball awards ceremony. The trophies come in boxes of 12 and the mounting stands come in boxes of 10. He wants to buy the same number of trophies and mounting stands, but he wants to buy the least number of boxes as possible. How much should Daniel expect to pay if each box of trophies costs $10 and each box of mounting stands costs $6. Explain.

Answers

Answer 1
Answer:

So, first, you have to find the smallest number that is divisible by both 12 and 10. Which is 60. So, you need 5 boxes of trophies and 6 boxes of stands

Now to get how much it will cost you now multiply the respective costs by the amount of boxes so you get

5 x 10 = 50

6 x 6 = 36

Then you add both

50 + 36 = 86

He will spend a total of $86 on both trophies and stands.


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Hungary Hank uses 7 scrambled eggs to make 4 breakfast burritos. How many breakfast burritos does he make with 21 scrambled eggs?

Answers

12

7 x 3 = 21
4 x 3 = 12
4x3 is 12 so the the answer is 12

The measure of an angle is fifty-nine times the measure of a supplementary angle. What is the measure of each angle?__and__

Answers

so
supplementary angles are adding up to 180
lets say they are x and y
x+y=180

x is 59 times y
x=59y
subsitute

59y+y=180
add
60y=180
divide 60
y=3
subsitute
x=59y
x=59(3)
x=177

angles are
3 and 177 degrees

Answer:

The answer for this question is 3 and 117

In need to know the answer of 12z+18 in distributive property

Answers

Answer:

6(2z + 3)

Step-by-step explanation:

Step 1:  Find the GCF

12 → 1, 2, 3, 4, 6, 12

18 → 1, 2, 3, 6, 9, 18

The GCF is 6

Step 2:  Pull out the GCF

12z + 18

6(2z + 3)

Answer: 6(2z + 3)

Answer: 6(2z + 3)

Step-by-step explanation:

So, with the distributive factor you want to find the greatest common factor. In this case, the greatest common factor is 6 because it can go into both 12 and 18. So now you need to simplify the numbers. You would put the 6 on the outside because it is the GFC.

6(

Now, you need to divide both numbers by 6 and your equation should look like this:

6(2z +3)

Hope this helps! :)

Solve the following inequality. |3n-2|-2<1

Answers

Answer: (-1)/(3) < n < (5)/(3)

Step-by-step explanation:

| 3n - 2 | - 2 < 1

              +2 +2

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

     +2 +2                     +2   +2

3n       < 5      and     3n      > -1

       n <  (5)/(3)       and         n > (-1)/(3)

(-1)/(3) < n < (5)/(3)

Interval Notation:  ((-1)/(3),(5)/(3))

Graph:  (-1)/(3) o--------------------o (5)/(3)


|3n-2|-2<1\n\n|3n-2|<3\n\n3n-2<3 \wedge 3n-2>-3\n\n3n<5 \wedge 3n>-1\n\nn<(5)/(3) \wedge n>-(1)/(3)\n\nn\in \left(-(1)/(3),(5)/(3)\right)

A wrestler is trying to gain weight for an upcoming match. His current weight is 105. In the formula shown, W = weight, p = pounds and t = time(weeks). He has 6 weeks before his match and has a goal weight of 123 pounds. Determine the minimum number of pounds he must gain per week to meet his goal. A) 1 pound B) 2 pounds C) 3 pounds D) 4 pounds

Answers

Answer:

Option C) 3 pounds.

Step-by-step explanation:

A wrestler is trying to gain weight for an upcoming match.

He has a goal weight = 123 pounds

His current weight = 105 pounds.

How much weight he must gain for his goal = 123 - 105 = 18 pounds

He has only 6 weeks to achieve his goal, therefore we divide is goal (to gain 18 pound) to 6 weeks to get what weight he must gain per week.

= 18 pounds ÷ 6 weeks = 3 pounds per week

He must achieve 3 pounds per week to achieve his goal of 123 pounds.

answer is c) 3 pounds

Felipe put a bowl of candies on his desk. He grabbed the relationship between how many days had passed and how many candies remained. What does the X intercept represent in this context

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x -----> the number of days

y ----> the number of candies remained

we know that

The x-intercept is the value of x when the value of y is equal to zero

so

In this context, the x-intercept is the number of days that have passed when the amount of candy remaining is equal to zero.

Final answer:

The X intercept represents the number of days it takes for all the candies to be gone. When the line goes through the X-axis (X intercept), it means that there are no candies remaining in the bowl.

Explanation:

In the context of Felipe's bowl of candies, the X intercept on a graph represents the number of days it takes for all the candies to be gone. Essentially, the X intercept is when the Y value (in this case, the number of candies remaining) hits zero.

This is because the X-axis often represents time in such scenarios, and when the graphed line crosses, or 'intercepts' the X-axis, it means the count of what is being measured (candies here) has become zero. So, if the graph showed that the X intercept was 5, it would mean all of the candies were eaten within 5 days.

Learn more about X intercept:

brainly.com/question/32551343?referrer=searchResults

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