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Keith_Richards [23]
3 years ago
13

144 students enter a spelling bee,but only 1/6 of the group will make into the semi-final round, and only 2/3 that group will ma

ke into the final round.How many students will enter the final round of the spelling bee?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

96

Step-by-step explanation:

144 x 2 = 288

288/3 = 96

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Which rate converts to a unit rate of 65 miles per hour
bulgar [2K]
(lol were both doing unit rate rn im just pausing to do some brainly questions)

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Its number A. Hope this helped!
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3 years ago
A closed box with a square base is to have a volume of 85. 75 cm^3. the material for the top and bottom of the box costs ​$3.00
tiny-mole [99]

We can create two equations here:

(1) Volume = area of square * height of box

85.75 = s^2 h

(2) Cost = 3 * area of square + 1.5 * area of side box

C = 3 s^2 + 1.5 s h

 

From (1), we get:

h = 85.75 / s^2

 

Combining this with (2):

C = 3 s^2 + 1.5 s (85.75 / s^2)

C = 3 s^2 + 128.625 s-

 

Taking the 1st derivative and equating dC/ds = 0:

dC/ds = 6s – 128.625 / s^2 = 0

Multiply all by s^2:

6s^3 – 128.625 = 0

6s^3 = 128.625

s = 2.78 cm

 

So h is:

h = 85.75 / s^2 = 85.75 / (2.78)^2

h = 11.10 cm

 

So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm

 

The total cost now is:

C = 3 (2.78)^2 + 1.5 (2.78) (11.10)

C = $69.47

8 0
3 years ago
Y=2x+12 and y=-x-9 in graph form.
fomenos
All work shown, I hope that this works!

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3 years ago
The admission to a local fair is $10 for each adult and $6 for each child. Each rides costs $2.00 for an adult, and $1.50 for a
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Step-by-step explanation:

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3 years ago
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konstantin123 [22]

\huge\boxed{753.6\ \text{cubic inches}}

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Multiply from left to right.

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\large\boxed{753.6}

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