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

Can someone help me solve this

And what does complementary,
supplementary,vertical,
And adjacent angles mean!?!?!

Answers

Answer:

angle 6 and 5.

complementary means 2 angles whose sum is 90° and supplementary means 2 angles whose sum is 180°. a way to remember is that is: c(from complementary) is way before s(from supplementary) in the alphabet so you know that complementary has the smaller amount. adjacent angles share the same endpoint of and angle and vertical angles are pairs of the opposite angles made by intersecting lines

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer:The given equation is of the form y = mx + b where m is the slope and b is the y-intercept.

Here, m = -14

Two parallel lines have the same slope. So, the slope of the new line will be -14.

To calculate the y-intercept substitute x=4 and y=4 in the equation.

4 = (-14)(4) + b

Solving for b, we get b = 60.

So, the new equation will be y = -14x + 60

Step-by-step explanation: pls brainlist

Simplify: 12 + 9x
help ​

Answers

Answer:

21x

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

70% of the tickets sold at a school carnival were early-admission tickets. If the school sold 80 tickets in all, how many early-admission tickets did it sell?

Answers

The school sold 56 early admission tickets.

Step-by-step explanation:

To figure this out, you can multiply 80 by 0.7 and get the amount of early admission tickets that way.

If you wanted too, you could also do it by figuring out what 10% of 80 is (which is 8) and multiply that by 7 if that's easier for you.

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

Bruce bought 5/8 ounces of peppers and 2/3 ounces of onions. How many more ounces of onions did he buy compared to peppers?

Answers

Answer:

The price of one pound of bell peppers is $0.6.

Step-by-step explanation:

This problem is equivalent to the following:

"if 10 oranges cost $20, how much does 1 orange cost? "and the answer to that question is:

price of 1 orange  = $20/ 10 oranges = $2 per orange.

Put simply, we divided the total price by the total number of items, and we shall do the same thing for the case of bell peppers:

price of 1 pound  = $1.25/ 2.5 pounds = $0.5/ pound.

The price for 1 pound of bell peppers is $0.5.

Probability tree diagram​

Answers

Answer:

?

Step-by-step explanation:

can you explain a little more

I’m not quite sure what you mean

Help with number one!! Explain how you did it please!! Thank you.

Answers

Answer:

x=2, x=-3

Step-by-step explanation:

The answer to 4(7m+6f)

Answers

Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)

what is the square root of 64

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x8=64 so √64=8. hope this helps!

what is the answer to: Mila bought 26 pounds of sausage for $65.what was the cost per pound of sausage?

Answers

Answer:

$2.50

Step-by-step explanation:

divide $65.00 by 26 pounds

Answer: $2.50 per pound

Step-by-step explanation: $65/26 pound = $2.5 per ponund

at Kayla swimwear 6 out of 20 style at the store are bikinis what percentage of swimsuit styles at the store are bikinis​

Answers

Answer:

is wrong,6/20,3/10

Step-by-step explanation:

what are your thoughts about the choice of music style and genre in hamilton? Give reasons for your answer (write a paragraph with a few lines) please don’t waste my points because i really need this i’ll also give brainliest.

Answers

My thoughts on the music genre and music
Style is quite a fun quirky music style in my opinion I also feel as if the music genre has a story behind it. Tell me if you need more lines

I have to show my work using the LCM strategy or fraction models.

Answers

Answer:

1/2 or 0.5 in decimal

Step-by-step explanation:

you would want to make the 3/10 eqale to 20/100 like it has to have the same denominatior which is 10x10 and 3x10. because 10x10 eqal to 100, and what you do to the bottom you have to do the same on the top. and then you add which becomes 30/100+20/100=50/100 and 50/100 =1/2 if you simplfiy.  

WRITE YES IF THE EQUATION IS RIGHT AND NO IF ITS WRONG PLS!

Answers

no it isn’t correct if that’s all
1. yes
2. no
3. no
4. yes
5. yes
6. yes

I LiKE YoUr CuT G what's 4 divided by 5?

Answers

Answer: 0.8% or 80%

Step-by-step explanation: Good luck! :D

Answer:

0.8

Step-by-step explanation:

like your cut g lollllllllllllllllllllllllllllllllllllllll

HELP!!! THIS IS DUE AT 11:59!

Answers

Answer:

1. x = 22

2. x = 38

3. x = 24

Step-by-step explanation:

Uhhhhhh

la potencia de un motor Mercedes Benz es de 120 Hp,(1Hp= 746 w) ¿ que fuerza realiza el motor para que el auto alcance una velocidad de 30m/s.


prrr favor ayudame​

Answers

Answer:

3627181992838(1331)323-242_4224$78

Find the mode, median and mean of the following data and match them with their appropriate result provided below. 3, 12, 11, 7, 5, 5, 6, 4, 10

Answers

How to get the mode:

- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5

How to get mean:

- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9

=> 63 / 9

=> 7

How to get median:

- To find the median, first order the numbers from smallest to largest. Then find the middle number

3, 4, 5, 5, 6, 7, 10, 11, 12

So the middle number is 6

------------------------------------------------

Mean: 7

Median: 6

Mode: 5

How Students Spend Their Time
EATING
8%
HOMEWORK
8%
WATCHING TV
13%
SOCIALIZING
13%
SLEEPING
33%
SCHOOL
25%
HOW STUDENTS SPEND THEIR TIME
[tex]14y {. \times \frac{?}{?} }^{2} [/tex]

Answers

15% eating, 25% homework, 2% tv, 0% socializing, 35% sleeping, 50% school for me

Doreen Schmidt is a chemist

Answers

Answer:

that isnt a question but good to know! :)

Step-by-step explanation:

okay


thanks for the answer ig

Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged with at least a bachelor's degree in was . In the year , this percentage was , in it was , and in it was only (Pew Research website). a. What is the population being studied in each of the four years in which Pew has data

Answers

Complete Question:

Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+

(a) What is the population being studied in each of the four years?

O college educated individuals

O college educated individuals aged 25-29

O individuals aged 25-29

O employed individuals aged 25-29

O employed individuals

(b) What question was posed to each respondent?

O Have your earned a bachelor's degree (or higher)?

O Are you enrolled in college?

O Are you between the ages of 25 and 29?

O In what year did you receive your bachelor's degree?

O Are you employed?

(c) Do responses to the question provide categorical or quantitative data?

O categorical

O quantitative

Answer:

U.S. Census Bureau

a. The population being studied in each of the four years is:

O college educated individuals aged 25-29

b. The question that was posed to each respondent is:

O Have your earned a bachelor's degree (or higher)?

c. O categorical

Step-by-step explanation:

a) Data and Calculations:

Percentage of employed individuals ages 25-29 with at least a bachelor's degree

in 2016 = 40%.

In the year 2000 = 32%,

in 1985 = 25%,

in 1964 = 16%.+

The percentage has continued to increase steadily.

b) Categorical data does not indicate numbers.  They are qualitative in nature.  Instead, the data are grouped into categories.  Examples of categorical data are data about race, sex, age group, and educational level.

-37 ≥ n - 20
What could n be??

Answers

Answer:

-78

Step-by-step explanation:

-78 - 20 = -98 which is less than -37,

im sorry this answer might be wrong i tried my best

n (is less than or equal to) -17

If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer

Answers

Answer:

[tex]8 - 10 = -2[/tex]

[tex]-20 - 10 = -30[/tex]

[tex]-2 - (-19) = 17[/tex]

[tex]-25 -35=-60[/tex]

Step-by-step explanation:

(a)

[tex]8 - 10[/tex]

Rewrite as addition:

[tex]8 - 10 = 8 + (-10)[/tex]

[tex]8 - 10 = -2[/tex]

(b):

[tex]-20 - 10[/tex]

Rewrite as addition:

[tex]-20 - 10 = -20 + (-10)[/tex]

[tex]-20 - 10 = -30[/tex]

(c)

[tex]-2 - (-19)[/tex]

Rewrite as addition:

[tex]-2 - (-19) = -2 +19[/tex]

[tex]-2 - (-19) = 17[/tex]

(d)

[tex]-25 -35[/tex]

Rewrite as addition:

[tex]-25 -35=-25 +(-35)[/tex]

[tex]-25 -35=-60[/tex]

Aria’s father is laying tile in their new kitchen. The length of one side of the room is 17 feet. Each of the tiles has a length of 1 3/10 feet. What is the length of the two tiles placed together?

Answers

Answer:

48ft

Step-by-step explanation:

48ft

what is w divided by 6=7

Answers

Answer:

42

Step-by-step explanation:

w/6 = 7

multiply both sides by 6

w = 42

When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 4 people and the cost per person was $57. If the number of people changed to 12, what would be the new cost per person?

Answers

Answer = 19$

I believe the answer would be $19

A rectangle with an area of 16 square units is drawn on a coordinate grid. The rectangle is
dilated by a scale factor of 1.5 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original rectangle, which ordered pair
represents the coordinates of the corresponding point on the resulting rectangle?
A (16x, 16y)
B (16 + x, 16+y)
C (1.5x, 1.5y)
D (1.5 + x, 1.5 + y)

Answers

Answer:

Just multiply x and y by the scale factor

Step-by-step explanation:

The corresponding points on the resulting rectangle will be 1.5x and 1.5y. Hence, option C is correct.

What is the area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data given in the question,

The area of the square is 16 square units.

Now, the scale factor is 1.5.

Then, the corresponding point at the x-axis will be 1.5x

Also, the corresponding point on the y-axis will be 1.5y.

To know more about the area:

https://brainly.com/question/27683633

#SPJ2

Identify the independent variables A photo lab charges 0.15 per print

Answers

Answer:

i: number of prints

d: cost