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strojnjashka [21]
2 years ago
14

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
Mathematics
1 answer:
myrzilka [38]2 years ago
5 0

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

24x + 3y = 87

Simplifying by 3

8x + y = 29

y = 29 - 8x

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

This means that 14x + 7y = 77

Simplifying by 7

2x + y = 11

y = 11 - 2x

Since y = 29 - 8x

11 - 2x = 29 - 8x

6x = 18

x = \frac{18}{6}

x = 3

y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5

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

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Miguel sells a house for 275,000. His commission for the sale is 7,562.5
valentinak56 [21]

Answer:

2.75\%

Step-by-step explanation:

To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.

We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:

\frac{7,562.5}{275,000}=0.0275

To convert from a decimal to a percentage, multiply by 100:

0.0275 \cdot 100=\boxed{2.75\%}

7 0
3 years ago
The dictionary is 3 inches thick. What is the volume of the dictionary
Yuki888 [10]

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

      V = Length * Length * Length = L^{3}

      V = 3 * 3 * 3 = 27 inch^{3}

while if its rectangular ( all side are not equal ) shaped

      V = Length * Width * Height (thickness)

      V = L * W * 3 = 3LW inch^{3}

5 0
3 years ago
10) Which two ratios form a proportion? A) 1 : 2 and 4 : 2 B) 1 : 2 and 6 : 3 C) 2 : 1 and 2 : 4 D) 2 : 1 and 6 : 3
Likurg_2 [28]

Answer:

2/1and6/3 because if you do cross multilication they both equal 6

Step-by-step explanation:

8 0
3 years ago
Please help 3m+5=8 show workk
SashulF [63]
Step 1- Subtract 5 from both sides
3m = 8 - 5
Step 2- Simplify 8 - 5 to 3
3m = 3
Step 3- Divide both sides by 3
Answer: m = 1
3 0
4 years ago
Randy wants to join a gym to lose his winter weight. Gym A has a membership fee of $39 and charges $30 per month. Gym B has a me
siniylev [52]

Answer:

5 months

Step-by-step explanation:

Value m= months

Gym A Money needed to pay= 30m+ 39

Gym B Money needed to pay= 20m+ 89

30m+ 39= 20m+ 89

Now isolate m

(30m-20m) + (39-39)= (20m-20m) + (89-39)

10m = 50

10m/10= 50/10

m=5; You can plug this number in to check my answer.

8 0
3 years ago
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