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tino4ka555 [31]
3 years ago
12

You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have

an equal number of blueberry scones and an equal number of cranberry scones. What is the greatest number of bags you can fill? Explain. Please help immediately!
Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0
There could be 25 bags with 2 blueberry scones in each and 3 cranberry scones in each. This is because 25 is a factor of both amounts so you would divide each by 25. That leaves it with 2 blueberry scones and 3 cranberry scones.
san4es73 [151]3 years ago
5 0

Answer: There are 25 bags in all that he can fill.

Step-by-step explanation:

Since we have given that

Number of blueberry scones = 50

Number of cranberry scones = 75

We need to find the greatest number of bags he can fill so that  each bag should have an equal number of blueberry scones and an equal number of cranberry scones.

So, H.C.F. of 50 and 75 = 25

So, there are 25 bags that he can fill.

Number of blueberry scones in each bag would be

\dfrac{50}{25}=2

Number of cranberry scones in each bag would be

\dfrac{75}{25}=3

Hence, there are 25 bags in all that he can fill.

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Taylor runs everyday in June except Sunday’s. He wants to run 21 miles this week and he plans to run the same number of miles ea
SVETLANKA909090 [29]
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xenn [34]

This question is not correctly written

Complete Question

The Henderson Hawks minor-league baseball team is giving away baseballs an

game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your

work or explain your reasoning.

Answer:

They should give away 100 balls and 100 towels

Step-by-step explanation:

Let the number of balls = x

Let the number of towels = y

x + y = 200........ Equation 1

y = 200 - x

$3 × x + $2 × y = $5000

3x + 2y = 5000...... Equation 2

3x + 2(200 - x)= 5000

3x + 400 - 2x = 5000

Collect like terms

3x - 2x = 500 - 400

x = 100

Number of balls to be given away = 100

Note:

y = 200 - x

y = 200 - 100

y = 100

Number of towels to be given away = 100

Therefore, they should give away 100 balls and 100 towels

3 0
3 years ago
Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
A person who weighs 100 pounds on earth weighs 16.6 lb on the moon. What is the independent variable? Explain why
Leviafan [203]
Independent variable (IV): something the scientist can change.

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