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timama [110]
3 years ago
8

A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle

to have 0.0025 ounces of oil per cubic centimeter of wax.

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

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A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
kari74 [83]

9514 1404 393

Answer:

  • 160 ft (out from the river)
  • 320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

  A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.

6 0
3 years ago
There were 230 shoppers at an electronics store on opening day. The specials that day allowed 21​% of shoppers to receive a free
anastassius [24]

Answer:

a) About 48 of the shoppers, that is 230\frac{21}{100} of the shoppers, received a free set of​ earbuds.

b) About 58 shoppers, that is \frac{230}{4} received ​$5 off their first​ purchase.

Step-by-step explanation:

a. About how many shoppers received a free set of​ earbuds?

21% out of 230. So

230\frac{21}{100} = 2.3(21) = 48.3

About 48 of the shoppers, that is 230\frac{21}{100} of the shoppers, received a free set of​ earbuds.

b. About how many shoppers received ​$5 off their first​ purchase?

25% out of 230, so:

230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5

About 58 shoppers, that is \frac{230}{4} received ​$5 off their first​ purchase.

5 0
3 years ago
Question
natulia [17]

Answer:

m^2+5m+25/4

perfect square trinomial^^

3 0
3 years ago
The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
16x - 5y = -33<br> 16x + y = -51
timofeeve [1]
Use the elimination process
6 0
3 years ago
Read 2 more answers
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