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3 years ago

8. A blueprint of a house has a scale of 1 in: 6 ft. If a bedroom has a width

Mathematics

1 answer:

natulia [17]3 years ago

6 0

A blueprint of a house has a scale of 1 in: 6 ft. If a bedroom has a width

of 2 in on the blueprint, what is the actual width of the bedroom?

So 1 inch on the blue print = 6 feet irl (in real life)

So 2 inch on the blue print = 6*2 = 12 feet irl

So the actual width of the bedroom is 12 feet.

You might be interested in

A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was

mamaluj [8]

Solving a system of equations, we can see that:

Speed of the private jet: 168 mi/h
Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

P = speed of the private jet.
C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0

2 years ago

In the 2012 presidential election, exit polls from the critical state of Ohio provided the following results:

neonofarm [45]

Answer:

50% probability that a randomly selected respondent voted for Obama.

Step-by-step explanation:

We have these following probabilities:

60% probability that an Ohio resident does not have a college degree.

If an Ohio resident does not have a college degree, a 52% probability that he voted for Obama.

40% probability that an Ohio resident has a college degree.

If an Ohio resident has a college degree, a 47% probability that he voted for Obama.

What is the probability that a randomly selected respondent voted for Obama?

This is the sum of 52% of 60%(non college degree) and 47% of 40%(college degree).

$P = 0.52*0.6 + 0.47*0.4 = 0.5$

50% probability that a randomly selected respondent voted for Obama.

8 0

2 years ago

A rectangular enclosure is to be created using 82m rope.

atroni [7]

Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1)
the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters

Part 2)b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is
the area enclosed by the barriers is less than the area enclosed by the rope

Part 3)How much more area can be enclosed if the rope is used instead of the barriers

area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0

2 years ago

Select the name of the highlighted part. OA side OB. diagonal OC. Vertex

solong [7]

Answer:

Step-by-step explanation:

because it's oc so the side is wrong and the vertex too

4 0

2 years ago

Sal the sloth takes one hour to travel 7 1/2 feet. If he continues to travel at the same rate, how long will it take him to trav

pentagon [3]

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1 $\frac{1}{7.5} =\frac{x}{30}$

Now we cross product.

7.5 multipled by x =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

x=4

3 0

2 years ago