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
Veronika [31]
4 years ago
7

Dakota’s parents are creating her practice ballet studio and want to install baseboards around the perimeter of the rectangular

room with sides measuring 13 feet 8 inches and 12 feet 3 inches.
1. Estimate the perimeter of the room and explain how you got the estimate.


2. Write the dimensions of the room as mixed numbers. Remember 1 foot = 12 inches. What does the fractional part of each mixed number represent?


3. Find the perimeter of the room. Show your work.


4. How does your result from part 3 compare to your estimate in part 1?


5. The baseboard will not go across the doorway of the room which is 2 ¼ feet wide.
a. Taking into account the doorway, calculate the new length of baseboard needed for the room.



b. The hardware store sells the baseboards in 8 foot lengths. How many boards need to be purchased to install new baseboards in the room?
Mathematics
1 answer:
kherson [118]4 years ago
4 0

1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.


You might be interested in
Can someone help me out with this
4vir4ik [10]

Answer:

1/20 divided by 950

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An item is priced at $14.97. If the sales tax is 5%, what does the item cost including sales tax? A. $30.69 B. $0.75 C. $22.46 D
kolezko [41]
The correct answer is D, $15.72
3 0
3 years ago
Fernando makes 1/6 cup of apple juice with 1/3 cup of grape juice which shows a correct comparison of these two fractions
Alenkasestr [34]
I think that it would be C, but I am debating on C and D. I'm pretty confident that it's C, though. Pretty sure.
3 0
3 years ago
In the exercise, X is a binomial variable with n = 5 and p = 0.2. Compute the given probability. Check your answer using technol
Ronch [10]

Answer:

0.0512

Step-by-step explanation:

We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.

The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x

In the above question,

x = 3

n = 5

p = probability for success = 0.2

q = probability for failures = 1 - 0.2 = 0.8

P(x) = (n!/(n - x) x!) × p^x × q ^n - x

P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3

P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²

P(3) = 10 × 0.008 × 0.64

P(3) = 0.0512

6 0
3 years ago
help! Suppose you received a 3 percent increase in your nominal wage. Over the year, inflation ran about 6 percent. Which of the
miss Akunina [59]

Answer: Option 'a' is correct.

Step-by-step explanation:

As we know that

Nominal wage is the value of wage in dollars that a particular person gets, whereas the real wage is the value of wage he is actually used that shows the purchasing power of a particular person.

If the wage is increased by 3%, and the inflation is increased by 6%.

Then, the nominal wage has increased but real wage decreased due to increase in inflation.

Hence, option 'a' is correct.

8 0
3 years ago
Other questions:
  • What property is illustrated by this problem 45*0=0
    7·1 answer
  • Can someone plz help me with this
    15·2 answers
  • Rewrite the expression in terms of the first power of the cosine: cos^4xtan^2x
    10·1 answer
  • What are the solutions to the system of equations?
    6·2 answers
  • What is 327.46 in expanded form
    13·1 answer
  • Evaluate the expression –0.4(3x – 2) + 2x+4/3 for x=4
    9·1 answer
  • I need help finding y=8x+9 and 16x×2y=18
    13·1 answer
  • Solve the system of equations 10×+7y=99andy-×=2?
    6·1 answer
  • Can someone help? i really don’t understand. question is in the picture
    8·1 answer
  • What does peculiar mean?<br> 1. muscular<br> 2. popular<br> 3. strange<br> 4. prescribed
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!