Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.

Answers

Answer 1

Answer:

$1.29 for balloons

Step-by-step explanation:

3b + 4f = 14.63

2b + 5f = 16.03

2b = 16.03 - 5f

b = (16.03/2) - 5/2f

3b + 4f = 14.63

3[(16.03/2) - 5/2f] + 4f = 14.63

48.09/2 - 15/2f + 4f = 14.63

24.045 - 15/2f + 8/2f = 14.63

24.045 - 7/2f = 14.63

-7/2f = -9.415

-3.5f = -9.415

f = 2.69 = $2.69 for favors

2b + 5(2.69) = 16.03

2b + 13.45 = 16.03

2b = 2.58

b = 1.29 = $1.29 for balloons


Related Questions

Part B
After the first hour, Samuel and Allie agree they will continue to climb up the rock
face for another 1 hour. Allie continues to climb at the same rate. What rate must
Samuel climb in the last { hour to reach the same height as Allie?
Samuel needs to climb at a rate of
meters per hour in the last hour to reach
the same height as Allie.

Answers

same needs to climb at a 12 rate

HELP!!!
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are​ available: 7,000 ​gallons, 14,000 ​gallons, and 28,000 gallons. How many of each type of tank car should be​ leased?

Answers

Answer:

16 of the 28,000 gallon tanks

6 of the 14,000 gallon tanks

4 of the 7000 gallon tanks

Step-by-step explanation:

ez

The tank should be leased by each quantity by 4 tank cars of  7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .

What is elimination method?

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

Let Tank cars of 7000  ​gallons = x

Let Tank cars of 14000  ​gallons = y

Let Tank cars of 28000  ​gallons = z

A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons.

i.e ,

x + y + z = 26 ---------------------------------------(1)

and

7000x + 14000y + 28000z = 560000  

x + 2y + 4z = 80  --------------------------------(2)

Now , solving equation (1) and (2) by elimination method

x = 4

y = 6

z = 16

Hence, The tank should be leased by each quantity by 4 tank cars of  7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .

To know more about elimination method here:

https://brainly.com/question/14619835

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4z-10=14 *
I can’t get the answer please help

Answers

Answer:

z = 6

Step-by-step explanation:

4z - 10 = 14

    + 10   +10

4z = 24

24 ÷ 4 = 6

n = 6

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

Answers

Answer:

I'm going to guess a statment since you didn't provide any

they both have a slope of 1x

Step-by-step explanation:


what is the time 5 ​

Answers

5 ? What this does not make sense

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

Answers

Answer:

A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?

please help my daughter with this

Answers

Answer:

Recordings of their music.

Step-by-step explanation:

This is because there was no way to record music.

A is the correct answer I think so

3g + 5 = 7g + 4 asap and please show work!!!!

Answers

0.25 is the answer which is the same as 1/4 just as a decimal

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Which expression is equivalent to 2(4f+2g)

Answers

Answer:

8f+4g

Step-by-step explanation:

distribute the 2 to 4f and 2g. Thats all you can do to the expression tho

Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?​

Answers

Answer:

she ate my. s aa a awwosewrtfgfdswertyu

Step-by-step explanation:

wwwwojwojwowj

Answer:

$3,221.02

Step-by-step explanation:

Month 1: $2000 x 1.10 = $2,200

Month 2 = $2,200 x 1.10 = $2,420

Month 3 = $2,420 x 1.10 = $2,662

Month 4 = $2,662 x 1.10 = $2,928.2

Month 5 = $2,928.2 x 1.10 = $3,221.02

In the election for class president, John received 25 votes, and Luke received 10 votes. Express the relationship of John's votes to Luke's votes as a reduced ratio.

Answers

Answer

5:2 5/2 5 to 2

Step-by-step explanation:

GCF of 25 and 10 is 5.

25/5 = 5 | 10/5 = 2

you can express ratios with a colon symbol, "to", or a fraction.

Since it's John to Luke it should be the answer above.

What is the constant in the equation
7
x
+
5
=
y
?

Answers

Answer:

7,and 5

Step-by-step explanation:

Bc a constant is the part of equation that contains a proper value.

If the equation is 7x+5=y, the constant would be only 5. Because a constant does not have a variable attached and has a fixed value.
Answer: 5

Which statement is true?(n+4)-7=18

Answers

Answer:

21

Step-by-step explanation:

(21 plus 4)=25

25 minus 7=18

~~~How I got 21~~~

I find the number that will be reasonable like 20 and work my way up

~~~Hope this helps~~~

Answer:

[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]

which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)

Answers

Answer:

8x^6-27y^6

Step-by-step explanation:

simplify the expression

Plot the line for the equation on the graphy,−5=3/2(x−2)

Answers

Answer:

The equation of the line is:

y - 5 = 3/2 (x - 2)

Transforming the line into the slope intercept form:

y = 3x/2 - 3 + 5

y = 3x/2 + 2

The slope is 3/2 and the y-intercept is 2.

Plotting this on the graph can be done using these steps:

Locate the point (0,2) on the graph.

From (0,2), count 3 units up and 2 units to the left and indicate that point.

Finally, connect the two points and extend the line.

Fred bought four bags of rice. Each bag contained StartFraction 2 Over 11 EndFraction kilogram. How much rice did Fred buy?

Answers

fred bought 8/11 kg of rice

Answer:

8/11

Step-by-step explanation:

go follow newamlie on tt lol

Dan’s number is three times more than Michael’s. The sum of their numbers is 48. What are their numbers?

Answers

Answer:

michael's number is 12, therefore Dan's is 36.

Step-by-step explanation:

48= michael's number+ 3 times Michael's number

48= m+3m

48= 4m

48÷4= 12 = michael's number

since Dan's is 3 times Michael's, his number is 36.

Answer: Michale's number is 12 and Dan's is 36

Step-by-step explanation:

Using ratios you can create 3:1 which is Dan's ratio to Michale.

You add 3 and 1, which gives you 4.

Divide 48 by 4, which gives you 12.

Michale's part of the ratio is 12 as he has three times less than Dan.

Which concludes that Dan has 36 and Michale has 12.

Given f(x) = -x + 7, evaluate f(-2).

Answers

Answer:

f(x)=9

Step-by-step explanation:

f(x)=-(-2)+7

f(x)=9

f(-2)= -x+7
2 +7
when f is -2 and x in the equation is negative the -2 would be positive because 2 negative equals a positive so 2+7 = 9
f(-2)= 2+7= 9

What is 805 x 4 and What is 3,220 divided by 4?

Answers

Answer:

805 x 4 = 3,220

3,220 / 4 = 805

Step-by-step explanation:

Its the same thing but backwards!

Stay Safe!

Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answers

Answer:

See referenced question

Step-by-step explanation:

Refer to this answer:

https://brainly.com/question/18638278

Attached is the question in original form

Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)

Answers

the answer would be -15x + 12x ^2

Answer:

-15

Step-by-step explanation:the

Xavier plays an online video game that allows him to control many different characters. Each character starts the game with 200 gold coins and receives 30 gold coins for each month that passes within the game. If Xavier controls 50 characters and the numbers of months passed within the game is represented by x which function can be used to determine the total number of gold coins that Xavier has collected in the game

Answers

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is.

Xavier plays a video game that allows him to control many different characters.

Each character starts the game with 200 gold coins.

Each character receives 30 gold coins for each month that passes within the game.

Xavier controls 50 characters in the video game.

Which function shows the relationship between A(x), the total number of gold coins that Xavier has collected playing the game, and x, the number of months that have passed within the video game?

Your answer would simply be C. A(x) = 50(30x + 200)

Because, your basicaly puting it in an equation, and pluse i got it right on my test so yea

1,2,1,10,1,50,1 what is the next number

Answers

Answer:

250

Step-by-step explanation:

its 1 and then the number before it times 5. without the ones it would be 2,10,50,250

Answer:

250

Step-by-step explanation:

theres a pattern, after every 1 you multiply by 5, for example 2x5=10 10x5=50 50x5=250

What is the solution for tge equation
8x-12=4x?

Answers

Answer:

Step-by-step explanation:

8x - 12 = 4x

-12 = 4x - 8x

-12 = - 4x

-12/-4 = x

3 = x

HELP ASAP This is very hard

Answers

Answer:

- 11/5

decimal : -2.2

mixed number -2. 1/5

A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah.
The plane arrived in Jeddah at 23 05.
At what time did the plane depart from Riyadh?

Answers

Answer:

21:55

Step-by-step explanation:

First u have to take 23:05 and subtract 10 minutes which gives u 22:55 then u have to subtract a 1 hour that will give you 21:55 as your answer.

A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? a. Write the equation to solve the problem. b. Find the solution

Answers

Answer:

15 uniforms.

Step-by-step explanation:

830-80=750/50=15  : )

Find the domain for f(x) = 2x + 9

Answers

Answer:9

Step-by-step explanation:Set x to 0 and the answer is 9

what number is rational?

Answers

Answer:

0.33333333333333

Step-by-step explanation:

Every 1 inch of vertical rise, 12 inches ramp length is required. What is the ramp length required for the rise of 10.5?

Answers

Answer:

You will require 126 inches of ramp for a rise of 10.5

Step-by-step explanation:

Evaluate the word problem

If your verticle rise is 10.5 inches for every 1 inch of that 10.5 you have 12 inches. This is written into an equation as follows;

x: How many inches of vertical rise you have,

y: Length of ramp required

y = 12x

Solve:

y = 12x

y = 12(10.5)

y = 126 inches of ramp

Hope this helps

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