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VashaNatasha [74]
3 years ago
7

In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual lengt

h of 24 feet? 1. 3/4 in 2. 2 in 3. 6 in 4. 8 in
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer: 2in

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The correct scale on the blueprint is : 1/4 inch represents 3 feet.

So, the proportion is: 1/4 inch/ 3 feet = (1/4) /3

For 24 feet:

x inches /24 feet = x/24

So:

(1/4)/3 = x/24

Solving for x (inches)

[(1/4)/3 ] (24) =x

x =2 inches

Feel free to ask for more if needed or if you did not understand something.

You might be interested in
What % of 60 is 35?
STatiana [176]

Answer:

58.33%

Step-by-step explanation:

  is            %

--------  =  ---------

  of           100

Just plug in the numbers based on what it tells you.

What % = goes in the % spot

of 60 = goes in the of spot

is 35 = goes in the is spot

  35          x

--------- = ---------

  60         100

Cross multiply:

60 * x = 60x        35 * 100 = 3500

60x = 3500

Divide by 60 to get x by itself.

3500 / 60 = 58.33

Put the percent sign after it:

58.33%

I hope this helps.

8 0
2 years ago
Read 2 more answers
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of
TiliK225 [7]

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

p = \frac{1}{2} = 0.5

You are going to play the game twice.

This means that n = 2

The probability that you win at least $1 both times is

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25

The probability that you win at least $1 both times is 0.25 = 25%.

4 0
2 years ago
Factor completely: <br> x^3 - x^2 - 6x
PSYCHO15rus [73]

Answer:

x(x-3)(x+2)

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

GCF=x

2. Factor out the GCF and simplify.

x(x^{2} -x-6)

3. Factor x^{2} -x-6.

Which two numbers add up to -1 and multiply to -6?

<u>-3 and 2</u>

Rewrite the expression using the numbers above.

(x-3)(x+2)

4. Done!

x(x-3)(x+2)

4 0
2 years ago
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay
saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

<u>To find the 8% of 14,4000</u>

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

 = 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0
3 years ago
Write an equation for the description. the sum of 17 and a number x is equal to 21
lawyer [7]

Answer:

Equation: 17+x=21

btw x=4

7 0
3 years ago
Read 2 more answers
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