Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.

Answers

Answer 1

Answer:

$57.84

Step-by-step explanation:

Balloons needed = 168

Cost of 36 balloons per pack = $11.88

Cost of 12 balloons per pack = $5.16

cost per balloon

36 per pack = $11.88 / 36

= $0.33

12 per pack = $5.16 / 12

= $0.43

In order to minimize cost, she should buy as many packs of 36 per pack balloon

36 per pack × 1 pack = 36

36 per pack × 2 packs = 72

36 per pack × 3 packs = 108

36 per pack × 4 packs = 144

36 per pack × 5 packs = 180

The required number of balloons is 168

So, the number of possible 36 packs to buy is 4, that is, 144 balloons

Balloons remaining = 168 - 144

= 24

Possible packs of 12 balloons per pack possible is

12 per pack × 1 pack = 12

12 per pack × 2 packs = 24

Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack

Cost of 4 packs of 36 balloons per pack = 4 × $11.88

= $47.52

Cost of 2 packs of 12 balloons per pack = 2 × $5.16

= $10.32

Total cost = $47.52 + $10.32

= $57.84


Related Questions

How many 180, degrees angles does it take to make a full turn?

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Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

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Step-by-step explanation:

Which pair of quantities form a proportional relationship? Select all that apply​

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Answer:

The 4th and 6th

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x

Answers

The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

As per the options, we have

f(g(x))=x is expressing f is the inverse of g.

f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.

f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.

Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.

Hence, the correct answer would be an option (D).

Learn more about inverse functions here:

brainly.com/question/2541698

#SPJ2

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?​

Answers

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Domain is the set of x values in a function for which it is defined.

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

HELP ASAP
Solve the equation for k:
p= k/K + t

Answers

Answer:

k = p(K+t)

Step-by-step explanation:

p = k/K+t // × (K+t)

p(K+t) = k

Answer:

k = K p - K t

Step-by-step explanation:

Solve for k:

p = k/K + t

p = k/K + t is equivalent to k/K + t = p:

k/K + t = p

Subtract t from both sides:

k/K = -t + p

Multiply both sides by K:

Answer: k = K p - K t

A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.

Answers

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.

Can somebody Awnser these for me please

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Answer:

The 2nd one is no symmetry the 1st one is (reflection) last one rotational only

Step-by-step explanation:

plz help me!! Polynomial Long Division (Level 1)

Answers

Answer:

x² + x + 1

Step-by-step explanation:

who ever answers i will give brainliest :>​

Answers

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pears.

Answers

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

What is 7x9? State your sentence below.

Answers

Answer:

63

Step-by-step explanation:

7x9= 63

or you could do 9x7=63

Answer:

63

Step-by-step explanation:

7+7+7+7+7+7+7+7+7=63

U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.

Answers

Answer:

x = 6

x = -5

Step-by-step explanation:

Solving (1)

5x - 4 = 3x + 8

Bring variables to one side

5x - 3x = 8 + 4

The result is

2x = 12

Solve for x

½ * 2x = ½ * 12

x = 6

Solving (2)

-4x + 7 = -7x - 8

Bring variables to one side

7x - 4x = -7 - 8

The result is

3x = -15

Solve for x

⅓ * 3x = -15 * ⅓

x = -5

consider The line that passes through each pair of given points and decide what type of slope the line has.​

Answers

Answer:

(6,-3) and (-4, -3) = zero slope

(-7, 8) and (-7, 0) = undefined slope

(2, 4) and (5, 1) = negative slope

(3, 5) and (-1, 2) = positive slope

:)

Step-by-step explanation:

got it right on edge

Please help me with the question! Please!!

Answers

Answer:

Slope is 3 and y-intercept is 2

Step-by-step explanation:

When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept

Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form

Answers

Answer:

Addy hiked 0.65 miles more than Audrey.

Step-by-step explanation:

In June we have the following distance traveled by Audrey (Au) and Addy (Ad):

[tex] Au_{Jun} = 2.95 miles [/tex]

[tex] Ad_{Jun} = 2.85 miles [/tex]

And, in July we have:

[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]

[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]

Hence in June and July, they traveled:

[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]

[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]

Now, we can find how much farther did Addy hike than Audrey in both June and July:    

[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]

Therefore, Addy hiked 0.65 miles more than Audrey.

I hope it helps you!    

Write the equation in vertex form using the following information: vertex (4, -6) and a=1.
Submit

Answers

Answer:

            y = (x - 4)² - 6

Step-by-step explanation:

An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)

vertex (4, -6) means  h = 4  and k = - 6

So:

     y = 1(x - 4)² + (-6)

    y = (x - 4)² - 6

Compare the ratio of miles driven to gallons of gas used for Car A and Car D. Write the ratios as fractions and use a common denominator of 8. The ratio of miles to gallons for Car A is /8. The ratio of miles to gallon for Car D is /8. The ratio for Car A is the ratio for Car D.

Answers

Answer:

The ratio of miles to gallons for Car A is  

✔ 224

/8.

The ratio of miles to gallon for Car D is  

✔ 184

/8.

The ratio for Car A is  

✔ greater than

the ratio for Car D.

Step-by-step explanation:

Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months

Answers

Answer:

5 months

Step-by-step explanation:

Cindy deposited $350 into a savings account

The acct balance remains above $200

We are required to find the number of months that it will take to $30 a month

Let y represent the number of months

y × 30 < 350-200

30y < 150

Divide both sides by the coefficient of y which is 30

30y/30 < 150/30

y < 5

Hence the number of months required is 5 months

The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?​

Answers

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

Find the area of polygon ABCDE (shown below)
5
4
m
20

Answers

Answer:

The answer is 24

Step-by-step explanation:

Copy and complete:
__:11= 1/3 :6

Answers

Answer:

11/18:11=1/3:6

Step-by-step explanation:

x:11=x/11 so

x/11=1/3/6

x /11=1/3*6

x=11/18

at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25

How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5​

Answers

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

What’s the 4 terms of the sequence defined by the rule f(n)=n+10

Answers

Answer:

            f(4) = 14

Step-by-step explanation:

f(n) = n + 10

f(4) = 4 + 10 = 14

Ok I have a couple of questions please help on the one you know please!!

Answers

Answer to Roberto's question:

4

Step-by-step explanation:

I'm not sure how to explain this one (my apologies).

Answer to Parallelogram JKLM question:

Q = 110° & ST = 9 ft

Explanation:

When reflecting this, the angle/side lengths remain the same. That means the information is going to be the exact same. All you have to do is figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. Making L = K, M = J, and so on.

Basically, flip the shape upside down for this problem, and look at that and the shape without angles, find the corresponding letter to the angle to get your answer. In this case, Q is that corresponding letter. Meaning your answer for Q = 110°

When it comes to figuring out ST, since the shape is just flipped and all the lines making the parallelogram are equal to each other, the feet remains the same. Meaning ST = 9 ft.

Answer for a triangle with vertices equation:

(-6,7) (2,8) (-4,3)

This one I didn't know how to do but I looked up the problem and this was the answer.

Answer to Hailey's plywood question:

7 inches

Explanation:

This one's a trick question. The size of an object does not change no matter how much you rotate it. Therefore the answer is going to be the same.

Sorry this took so long, hope I helped!

A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°

Answers

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have

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