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Paha777 [63]
3 years ago
8

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax measuring 15 cm by 12

cm by 18 cm, about how many candles can she make after melting the block of wax? Round to the nearest tenth.

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Find the volume of the candle using the formula for volume of a cylinder:

V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8

Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.

Now divide the volume of the block by the volume of a candle:

3240 / 217.8 = 14.88

Round to the nearest tenth = 14.9 candles.

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∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?
olasank [31]

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

3 0
3 years ago
Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no othe
Dimas [21]

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

4 0
3 years ago
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Tarana mailed 20 greetings cards. 9 of them were mailed to USA. What percentage of the cards were mailed to USA?
Elza [17]

Answer:

45%

Step-by-step explanation:

9/20=0.45 (Divide it first), 45/100=45% (45/100 because 100 makes 1 whole -all 20 cards-)

7 0
3 years ago
What is the compound interest of 10400 at 12.7% for 4 year
Naddik [55]

The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

8 0
2 years ago
the length of a rectangle is five times the width. if the area of the rectangle is 125 square inches, find the length and width​
Mekhanik [1.2K]
Length: 25
Width: 5
25 divided by 5=5
25x5=125
3 0
3 years ago
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