At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in the candle holders. On the east side, he replaced candles in 24 small candle holders and 3 large candle holders, using a total of 87 candles. On the west side, he replaced the candles in 14 small candle holders and 7 large candle holders, for a total of 77 candles. How many candles does each candle holder hold?

Each small candleholder holds ____ candles, and each large one holds ____ candles

Answers

Answer 1

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

[tex]24x + 3y = 87[/tex]

Simplifying by 3

[tex]8x + y = 29[/tex]

[tex]y = 29 - 8x[/tex]

14 small candle holders and 7 large candle holders, for a total of 77 candles.

This means that [tex]14x + 7y = 77[/tex]

Simplifying by 7

[tex]2x + y = 11[/tex]

[tex]y = 11 - 2x[/tex]

Since [tex]y = 29 - 8x[/tex]

[tex]11 - 2x = 29 - 8x[/tex]

[tex]6x = 18[/tex]

[tex]x = \frac{18}{6}[/tex]

[tex]x = 3[/tex]

[tex]y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5[/tex]

Each small candleholder holds 3 candles, and each large one holds 5 candles.


Related Questions

Solve the inequality: -3x - 22 > 23

Answers

Answer:x<-15

Step-by-step explanation:

what is 189,476 to one significant figure?​

Answers

Answer:

15 hope this helps!!!!

Step-by-step explanation:

you can buy 5 cans of green beans at the Village Market for $2.30 or you can buy 10 of them of best food for $5.10 which place is the better buy ​

Answers

Answer:

village market

Step-by-step explanation:

5 times 2.30 =11.5

10 times 5.10 =51

11.5 times 2 =23

51 to 23

brainliest please thank you

Answer:

Answer vary:

The better buy is 5 cans of green beans at the Village Market.

Step-by-step explanation:

honestly in my opinion that‘s my answer.

if 10 cans cost $5.10 and 5 cans cost $2.30, think about if you add another $2.30 for another 5 cans the cost is $4.60 and you get 10 cans. and that’s obviously cheaper than the other buy.

10 cans = $5.10

5 cans = $2.30.    

(the 5 can offer)

2.30+2.30= $4.60

The admission fee at a park is $1.25 for children and $5.40 for adults. On a certain day, 319 people entered the park, and the admission fees collected totaled $1125. How many children and how many adults were admitted?

Answers

Answer:

So 900 children went that day and

225 adults went that day

Step-by-step explanation:

1125 divided by 1.25=900 children

so then if you want to find out adults then just subtract

1125-900=225 adults

Hope this helped and Have a great day!!!



Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level

Answers

55 feet above (-330+385)

What’s the distance between the points (-9,2) and (-4,2)

Answers

Answer:

the distance is 5

Step-by-step explanation:

see image for explination

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-9, 2)

Point (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-4+9)^2+(2-2)^2}[/tex][√Radical] (Parenthesis) Add/Subtract:                                                         [tex]\displaystyle d = \sqrt{(5)^2+(0)^2}[/tex][√Radical] Evaluate exponent:                                                                      [tex]\displaystyle d = \sqrt{(5)^2}[/tex][√Radical] Evaluate:                                                                                       [tex]\displaystyle d = 5[/tex]

I’m going to cry if someone doesn’t answer my question I need an answer right now

Answers

Answer:

What’s the question—— I could help and try to answer it!

Step-by-step explanation:

Answer:

I can try to answer it, but beware I'm a d.umbass lol

Simplify the rational Expression

Answers

Answer:

[tex]\frac{x^2+2x}{x-3}[/tex]

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

[tex]\frac{x^2+2x}{x-3}[/tex]

Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a ^ x and show how you find the values of and a. Show all work , not just the final equation.

Will give Brainliest to the right answer with steps

Answers

Answer:

y = 1/3*2^x

Step-by-step explanation:

Given function

y = c*a^x

The points (-1, 1/6) and (1, 2/3) lie on the graph

Substitute the values of x and y to get the system of equations:

1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c2/3 = c*a^1 ⇒ 2/3 = ac

Substitute a and solve for c:

2/3 = 6c*c1/9 = c²c = √1/9c = 1/3

Find a:

a = 6c = 6*1/3 = 2

The equation of the function:

y = 1/3*2^x

solving right triangles geometry help please

Answers

Answer:

(13) The third side is 14 cm

(13) The third side is 16.1 cm

Step-by-step explanation:

Given

(13) & (14)

Required

Solve

(13): Let length AB = x.

Using Pythagoras theorem.

[tex]x^2 = 12^2 + 9^2[/tex]

[tex]x^2 = 144 + 81[/tex]

[tex]x^2 = 225[/tex]

Take positive square root of both sides

[tex]x = \sqrt{225[/tex]

[tex]x = 15[/tex]

(14): Let length DE = x.

Using Pythagoras theorem.

[tex]x^2 = 8^2 + 14^2[/tex]

[tex]x^2 = 64 + 196[/tex]

[tex]x^2 = 260[/tex]

Take positive square root of both sides

[tex]x = \sqrt{260[/tex]

[tex]x = 16.1[/tex] ---approximated

5(6p-3)-2 = 2(15p - 11)+5 one solution, no solution, infinite solution ​

Answers

Answer:

Step-by-step explanation:

Help please ...........

Answers

7/9 = 0.777777
8/11 = 0.727272
0.79
84% = 0.84
4/5 = 0.8

8/11, 7/9, 0.79, 4/5, 84%

Answer:

8/11, 7/9, 4/5, 84% these are the answers to your question

brie and lisa wants to find the area of this figure. They agree to separate the figure as shown, but they disagree about what to do next. lisa wants to add the areas of all four shapes in the figure. brie wants to find the sum of the areas of one parallelogram and one triangle and then multiply that sum by 2 who is correct

Answers

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

Can someone helppp pls

Answers

Answer:

It's the first one and the second one.

[tex]\sqrt{11}, 5, 6\\\\3, 4, 5[/tex]

use the Pythagorean theorem

Pls help I’ll mark brainliest

Answers

Answer:

2=72 4=148  6=222  10=370 15=555 16=592

sorry about the second part i didnt see it

Answer:

148, 3 , 740, 1110, 8.

Step-by-step explanation:

Miles: 148 + 740 + 1,110 = 1,998

Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42

A team lost 25% of the matches it pla
If it won 15 matches, find the number
matches it played.​

Answers

25% of 15 is 3.75, but you have to round up so it would be 4 matches

Find the value of k please

Answers

You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.

If you double all edges of a cube,by what percent will the volume of the cube increase?

Answers

I think it is 700 percent

Help me please and explain it me to please

Answers

6 and 5 because they are on a straight line and add to 180

A farmer packs eggs into cartons of 12. The farmer has 109
eggs. She wants to keep 13 of those eggs for her family.
How many cartons will the farmer be able to sell?

Answers

Answer:

109 divided by 12 is about 9.3 carton thingys so she would most likley sell 8

so she can keep some

Step-by-step explanation:

The farmer sells 6 cartoons.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs= 109

A carton contain= 12 eggs

If the farmer takes away 13 eggs, the eggs left

= 109 - 13

= 96 eggs.

So, the number of cartoons will famer sell

= 96 / 12

= 6 cartoons.

Hence, the farmer sells 6 cartoons.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

A basket holds 45 apples and 3 oranges. A blindfolded man reaches into the basket and selects one piece of fruit. State the probability of the outcome for each kind of fruit as a decimal

Answers

Answer:

ahahha free points for me

Which describes a non-uniform probability model?
A) heads or tails from a coin flip
B) the sum result of rolling two dice
C) selecting a ball from 3 red balls and 3 green balls
D) the chance of 1,2,3,4,5 or 6 from rolling a die

Answers

Ima go with D I think..

PLEASE HELP ASAP I WILL MARK BRAINLIEST

Answers

Answer:

-24

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

Select all expressions that are equal to 64 3/2

Answers

Answer:

(c)512 because64 times 1.5 equal 512.

Step-by-step explanation:

(c) 512

(b) 8 to the third power

(E) √64 to the third power

all of these equal 512

The equivalent expression to [tex]64^{3/2[/tex] is 8³, 512 and √64³.

What is exponent and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. A mathematical term called the power illustrates the repeated multiplication of the same integer or factor.

Given:

[tex]64^{3/2[/tex]

Now, we know that 64 is square  of 8.

so, [tex]64^{3/2[/tex]= [tex](8^2)^{3/2[/tex]

= 8³

= 512

So, the equivalent expression to [tex]64^{3/2[/tex] is 8³, 512 and √64³

Learn more about exponent and power here:

https://brainly.com/question/15722035

#SPJ5

Select two answers that have a slope of 5/2

Answers

Answer: Both A and E have a slope of 5/2

Step-by-step explanation:

A and E. All you need to do is just count the rise in the run, which is the vertical and horizontal parts of the triangle. A is 10/4 so you just simplify that to 5/2 and E is directly 5/2

Plz help!!! I need the answer quickly

Answers

When the imposter is sus XD

find the length of side AC to the nearest centimeter.

Answers

Answer: 37+58=x

Step-by-step explanation: okay so add up 37+58=x they to x-180 to find the A angel then just

30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf​

Answers

Answer:

15

Step-by-step explanation:

50 x .3

Answer:15

Step-by-step explanation:

Solve 2x-5 = 7 I will mark as brainliests ​

Answers

Step-by-step explanation:

first method

add 5 from both side

2x -5 +5 = 7+5

2x= 12

X = 2

12

divide 2 from both side

2. 12

2. 2

X = 6

second method

2x-5=7

2x = 5+7

2x=12

X=2/12

X =6

:.

Evaluate the expression when 24b + 8 gcf

Answers

GCF = 8

Hope this helps!!!!
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