On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event Miniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?

Answers

Answer 1

Answer:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

[tex]5G + 4S + 2B = 26[/tex] -- (1)

[tex]4G + 4S + 4B = 26[/tex] -- (2)

[tex]3G + 4S + 6B = 26[/tex] -- (3)

Divide both sides of (2) by 2

[tex]4G + 4S + 4B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

So, the system of equations are:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]


Related Questions

Christina earned $510 working part-time at the movie theater. Of her paycheck, 1/ 4 pays for car insurance, 1/ 3 for gas, and 20% for miscellaneous expenses. The remaining amount of her paycheck is divided equally for entertainment and savings. How much does Christina spend each month on entertainment?

Answers

Answer:

$55.15

Step-by-step explanation:

1/4 of 510 = 127.5

1/3 of 510 = 170

20% of 510 = 102

510-(127.7+102+170)=510-399.7=110.3

110.3/2=55.15

hope this helps

Due in 10 minutes please help !! ASAP Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 90p each.
If she pays with a £20 note, how much change would she get in pounds, £?

Answers

Answer:

£7.3

Step-by-step explanation:

2 x £2=£4

3 x £3 = £6

3 x 90 = 270 = £2.7

£4+£6+£2.7= £12.7

20-12.7=7.3

7 pounds and 3

Answer: 4.3

Step-by-step explanation:

2(2)+3(3)+3(.9)=

4+9+2.7=15.7

20-15.7= 4.3

I'm assuming that 100 p is 1 £, if that's not the case this would be wrong

A chemist is using 329 milliliters of a solution of acid and water. If 13.4% of the solution is acid, how many milliliters of acid are there? Round your answer to
the nearest tenth.
I milliliters
х
5
?

Answers

Answer:

44.1mm

Step-by-step explanation:

Given

Total solution of acis nad water = 329mm

Percentage that is acid = 13.4%

Amount that is acid = 13.4% of 329

Amount that is acid = = 13.4/100 * 329

Amount that is acid = 13.4*3.29

Amount that is acid = 44.086

Hence the amount of acids there is 44.1mm

"A HARFİ ile ilgili atasözleri ve anlamları​

Answers

Answer:

al sana atasözleri ile igili atasözleri ve anlamları

please help me , I don't understand how to do this ​

Answers

Answer:

10 more eggs

Step-by-step explanation:

If each egg equals 5 eggs then

pen 3 has a total of 25 eggs

Pen 2 has a total of 5

pen 5 has a total of 10

10 + 5=15

25-15= 10

Hope this helps ^-^

Answer:

10

Step-by-step explanation:

First I would convert all the egg drawings to the actual number:

Pen 3: 25 eggs

Pen 2: 5 eggs

Pen 5: 10 eggs

Then I would add pens 5 and 2 together, this would sum up to 15.

Lastly, I would subtract 15 from 25 = 10 eggs

There are 9 counters in a bag.

7 of the counters are green.
2 of the counters are blue.

Ria takes at random two counters from the bag.

Work out the probability that Ria takes one counter of each colour.

Answers

The Answer:
7:2
Hope this helps

Circles A, B, and C overlap. x is in the overlap of circles A and B. Which of the following are true about x? Check all that apply. x ∉ A x ∈ B x ∉ C x ∈ A ⋃ B x ∈ A ⋃ C x ∈ A ⋂ B

Answers

9514 1404 393

Answer:

  b, c, d, e, f

Step-by-step explanation:

x ∉ A  . . . . .  not true, x is in A

x ∈ B . . . true

x ∉ C . . . true (x is outside the circle labeled C)

x ∈ A ⋃ B . . . true

x ∈ A ⋃ C . . . true

x ∈ A ⋂ B . . . true (x is in the overlap)

Answer:

A is false, every thing else is correct so b,c,d,e,f is your answer

Step-by-step explanation:

have a good day

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the solution of the equation?
(its in the attachment)

Thank u lovely

Answers

Step-by-step explanation:

This is a edit. The answer is 30. Brainly won't save my work.

[tex]3 \sqrt[5]{ {(x + 2)}^{3} } + 3 =27 \\3 \sqrt[5]{ {(x + 2)}^{3} } =24 \\ \sqrt[5]{ {(x + 2)}^{3} } = 8 \\ {(x + 2)}^{3} = {8}^{5} \\( x + 2) = \sqrt[3]{ {8}^{5} } \\ ( x + 2) = 32 \\ x = 30[/tex]

Rearrange p=r+3 to make r the subject

Answers

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =

Answers

The solution to the equation 2 = -(7/4) + (1/4)x is x = 15

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the equation:

2 = -(7/4) + (1/4)x

Add 7/4 to both sides of the equation:

2 + 7/4 = -(7/4) + (1/4)x + 7/4

(1/4)x = 15/4

Multiply both sides by 4:

x = 15

The solution to the equation 2 = -(7/4) + (1/4)x is x = 15

Find out more on equation at: https://brainly.com/question/2972832

Claire is going to invest in an account paying an interest rate of 4.8% compounded
continuously. How much would Claire need to invest, to the nearest hundred dollars,
for the value of the account to reach $540 in 13 years?

Answers

Answer: P= 300

Step-by-step explanation:

4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)

(This is Trigonometry)

Answers

tan25°=a/87, a (lower half of tower) = 36.0366.
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.

Ian​'s car can go 93 miles on 3 gallons of gas. During a drive, last​ weekend, Ian used 8 gallons of gas. How far did Ian ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas used.

Answers

Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

Dxfcv gnhbjmftvgyhgbyhgtyuvgyuibgiuguyvfgtyuik

Answers

Answer:

25.12 inches

Step-by-step explanation:

The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.




A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches

Answers

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

[tex] = 2\pi \: r[/tex]

= 2 × 3.14 × 6 inches

= 37.68 inches

Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

Hence, 3768 inches of gold trim is required (Ans)


[tex]4 \times 8 ^{2x + 1?} = 32 ^{x + 2} [/tex]

Answers

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

[tex]a^x \times a^y = a^{x+y}[/tex]In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : [tex]a^x = a^y[/tex]  ⇒  [tex]x = y[/tex]  [∵ Bases are equal on both the sides]

__________________________________________________________

[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]

Lets express it in terms of 2.

[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]

[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]

Here the bases on both the sides are equal. Hence ,

[tex]=> 6x + 5 = 5x + 10[/tex]

[tex]=> 6x - 5x = 10 - 5[/tex]

[tex]=> x = 5[/tex]

Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)

the ones in parenthisis r the answer choices

Answers

Answer:

Zero frequency:  

✔ 351–400

A peak:  

✔ 651–700

Step-by-step explanation:

Answer:

zero frequency

351-400

A peak

651-700

Step-by-step explanation:

Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.

Labor rate: $8.75 per hour.
Hours worked: 16
Total price of services: $224

Overhead rate: %

Answers

Answer:

37.5%

Step-by-step explanation:

Labor rate = 8.75 dollars per hour.  

Hours worked = 6

Direct cost of labor = 140 dollars

Total price of services = 224 dollars

Therefore, the overheads = 84 dollars which is

84 X 100 / 224 = 37.5%

how many solutions does the equation 5x+13=13 have

Answers

Answer:

It only has one solution

Step-by-step explanation:

1; . If you subtract 13 from both sides you have 5x=0. Then divide 5 on both sides to get 0 over 5. 0 divided by ANYTHING is 0= so you only have one answer.

Which series of transformations will create similar but not congruent figures? (1 point)
O reflection and translation
O reflection and dilation
O reflection and rotation
O rotation and translation

If you don't know let someone who does answer​

Answers

Answer:

I thik O rotation and translation

need help with 1-4 i don't really understand them and if you can give me work as well that would be great thank you

Answers

Answer:

Mm pues la verdad si quisiera responderte pero no le entiendo a eso desde cuarto así que bye

one and sixty three hundreths in decimal form.

Answers

Answer:

1.63

Step-by-step explanation:

Answer:

1.63

Step-by-step explanation:

Helppppp, I don’t knowwww

Answers

Answer:

1 and 4 and 2

Step-by-step explanation:

Find the value of x in the triangle, pls help I need this so bad, if you want points you can tell me in the COMMENTS and I'll make a thing just for u!! But pls don't answer if u don't know♥️ thanks love u!!

Answers

Answer:

67 degrees, the 4th choice.

Step-by-step explanation:

As you may know, sum of angles in a triangle is 180 degrees. The best thing about this question here, is that 2 of the angles are already given. Now, all you need to do is add the two angles and subtract the result from 180.

You can also use the process of elimination to start.

First off, you can eliminate the second answer, sum of angles in triangle is 180, and 293 is way to much.

7 degrees is way too little, and it can be found by common sense, and knowing that 7+60+53 is already gonna be less than 180. (Didnt mean to be rude though. lol)

The only options left are 113 degrees and 67 degrees. now, lets use the actual formula of sum of angles in triangle.

60+53=113

180-113=67.

So, its 67 degrees! Process of elimination can help, but if you need proof for your answer, do not do that work in front of your teachers, only show the actual proof.

Hope you learned and liked my explanation! If so, please leave a rating and thanks (and hopefully brainliest!!) Have a great day!

Given the function below, what is the g(-8)?

g(x)=2x+1

Answers

the answer is -15 because you insert the -8 where the x goes.

9 2/3 - 4 1/5. ====???

Answers

Answer:

Step-by-step explanation:

5.46666666667

Answer:

5 7/15

Step-by-step explanation:

9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15

HELPPP. i need help with this i have trouble with ordered pairs

Answers

the second one i got (0,-2) first one i got (0,9)

-12 + 2t = - 14
Solve for t

Answers

Answer:

-1

Step-by-step explanation:

-12 + 2t = -14

12 + -12 + 2t = -14 + 12

2t = -2

2t/2 = -2/2

t = -1

OOPS my submitted answer was wrong.

Submitting this is so you can give other person points! :]

i'm so confused please hurry

Answers

Answer:

y = 5x = -5z = 10

Step-by-step explanation:

For Explanation , see image

ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS​

Answers

$10 if she deposited every month
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