1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krok68 [10]
3 years ago
13

Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large

as the area of the dining room on the blueprint.The length of the dining room on the blueprint is 4 inches.What is the length of the actual dining room?
Mathematics
1 answer:
8090 [49]3 years ago
6 0
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.

√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30

Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches

Answer = 120 inches

You might be interested in
Put these in order starting with the smallest:
AleksandrR [38]

Answer:

1 to the power of 8= 8

2 to the power of 4 =16

5 squared =25

3 to the power of 3 =27

Step-by-step explanation:

2 to the power of 4 =16

3 to the power of 3 =27

1 to the power of 8= 8

7 0
3 years ago
Scientists predict that there is a 0.8 chance that there will be an earthquake in San Francisco this year. How likely is that th
Firlakuza [10]

Answer:

80%

Step-by-step explanation:

8 0
3 years ago
Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the
klemol [59]

Answer:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

         

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

3 0
3 years ago
How many of these figures have at least one vertex?
Zolol [24]

Answer:

Two of those figures have a vertex.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

7 0
3 years ago
It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take
nirvana33 [79]
To make it easier, you calculate the volume of the first aquarium.

1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches

Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
 
2nd aquarium's rate:
18,270 in./39 min.

As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
7 0
3 years ago
Other questions:
  • Each costume needs 46 cm oc red ribbon and 3 times as much in yellow ribbon. What is thevtotal length of ribbon needed for 64 co
    5·1 answer
  • Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
    11·1 answer
  • I need help please no one helps me
    14·2 answers
  • Determine for which values of m the function variant Φ(x) = x^m is a solution to the given equation. a. 3x^2 (d^2y/dx^2) + 11x(d
    8·2 answers
  • 70=p so what number is p?
    11·2 answers
  • Câu 1: Giả sử, có số liệu tối đa hai mặt hàng chuối và táo mà Việt Nam và Trung Quốc có thể sản xuất được trong điều kiện sử dụn
    10·1 answer
  • What is the image point of (1, 4) after a translation left 5 units and down 3 units?
    9·1 answer
  • Help me please my math didn’t teach me this!
    10·1 answer
  • Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengt
    8·1 answer
  • What is the least common denominator of the rational expressions below? 4/x^2-7x + 1/x^2-4x-21
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!