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Nastasia [14]
2 years ago
6

Jacob made a scale drawing of the auditorium. The scale of the drawing was 3 inches : 2 feet. If the stage is 45 inches in the d

rawing, how wide is the actual stage?
Mathematics
2 answers:
nekit [7.7K]2 years ago
7 0
I think it’s 8 inches wide .
mr Goodwill [35]2 years ago
4 0

Answer:

8 inches wide

Step-by-step explanation:

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A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0
3 years ago
Usematlab "fzero"function to find thezeros ofthefollowingfunctions in the given domaincomputethefollowings:
Katen [24]
What are the instructions or equations to use
4 0
3 years ago
Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
3 years ago
Write an expression to represent:<br> Nine less than the quotient of two and a number z.
Nina [5.8K]

Answer:

2 / z - 9

Step-by-step explanation:

Don't worry division always goes before subtraction so you don't need any parenthesis.

Tell me if I'm wrong :)

8 0
3 years ago
Help me with this please
GaryK [48]

Answer:

The First Table

Step-by-step explanation:

The y-values increase inconsistently, while the other tables are constant.

3 0
3 years ago
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