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AysviL [449]
3 years ago
9

Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocola

te candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell?
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

Number of cinammon = 12

Number of chocolate = 21

Step-by-step explanation:

Given that:

Cost of Cinnamon candle , c = $3.50

Cost of chocolate candle , d = $2.50

Total amount raised, T = $94.50

d = 2c - 3

Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)

94.50 = (3.50 * c) + (2.50 * (2c-3))

94.50 = 3.50c + 5c - 7.5

94.50 = 8.50c - 7.5

94.50 + 7.5 = 8.50c

102 = 8.50c

c = 102 / 8.50

c = 12

d = 2c - 3

d = 2(12) - 3

d = 24 - 3

d = 21

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Three consecutive integers are such that three times the smallest is 14 more than the largest
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8, 9 and 10

Step-by-step explanation:

We would have to find the 3 consecutive integers.

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So, we have 3 consecutive integers:

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3 years ago
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Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 ce
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The complete question in the attached figure

we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[<span>original painting]

</span><span>dimensions </span>copy of a painting--------------> 1.75 in x 5.25 in

for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm


for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm

the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm

Part B)
<span>Find the area of the original painting.
[</span>area of the original painting]=42*126=5292 cm²
<span>
the answer Part B) is
</span>area of the original painting is 5292 cm²
<span>
Part C)
</span><span>One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
</span>
the dimensions of the original painting are 42 cm x 126 cm
then

for 42 cm
if  1 cm----------------> 0.033 ft
 42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft

for 126 cm
if  1 cm----------------> 0.033 ft
 126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft

the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft

Part D) <span>Find the area of the painting in square feet. Round to the nearest thousands.
</span>
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²

the answer part C) is
the area original painting in feet is 5.763 ft²

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