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
Citrus2011 [14]
2 years ago
10

A worker is handling the four of a rectangle room that is 12 feet by 15 feet.The tiles are square with side lengths 1 1/3 feet.

How many tiles are needed to cover the entire floor? Show your reasoning.Show your reasoning
Mathematics
1 answer:
Anon25 [30]2 years ago
3 0

Answer:

Step-by-step explanation:

The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as

Area = length × width

Area of the rectangular room would be

12 × 15 = 180 feet²

The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet

Area if each tile is

4/3 × 4/3 = 16/9 ft²

The number of tiles needed to cover the entire floor is

180/(16/9) = 180 × 9/16

= 101.25

102 tiles would be needed because the tiles must be whole numbers.

You might be interested in
Find the area of the figure. Round to the nearest tenth if necessary.
rosijanka [135]

Answer:

63 sq ft

Step-by-step explanation:

The formula for the area of a trapezoid is

A = h(a + b)/2  where a and b are the lengths of the parallel sides and h is the distance between them

A = 7(11 + 7)/2

   = 7(18)/2

   =  63 sq ft

5 0
3 years ago
on Thursday, 30 students went to after-school tutoring. On Friday, 6 students went. What is the percent decrease in the number o
joja [24]
Hey there! :)

The answer is 80%

6 ÷ 30 = 0.2 = 20%

100 - 20 = 80

Hope this helped :)
4 0
2 years ago
The sum of n and the sum of 8 and 6
kozerog [31]

Answer:

n + 14

I don't know if it's correct but i'm trying to help :)

3 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17   eq(1)

y = -1/2x            eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 5/4, b =0 and c = -17

x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}

Finding value of y:

y = -1/2x

y=-1/2(\frac{\pm2\sqrt{85}}{5})

y=\frac{\pm\sqrt{85}}{5}

System A has 4 real solutions.

System B

y = x^2 -7x + 10    eq(1)

y = -6x + 5            eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-1 and c =5

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9    eq(1)

8x - y = -17        eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17    

8(-2) - y = -17    

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

4 0
3 years ago
Read 2 more answers
What is the highest multiple of 2 and 3?
zubka84 [21]
2 and 3 are prime numbers, so it means that the greatest common factor is:

G.C.M(2;3)=2*3=6
6 0
3 years ago
Other questions:
  • If 2 bags of popcorn cost 5.50, how much will 7 bags cost?
    6·2 answers
  • at a gymnastics competition, joey scored 9.4,9.7,9.9,9.8. carlos scored 9.5,9.2,9.7,9.7. who had the greater average score? by h
    14·2 answers
  • I need help please.
    11·2 answers
  • L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixe
    11·1 answer
  • Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing
    5·1 answer
  • What is the best next step in the construction of a line that passes through B and is perpendicular to line A?
    10·1 answer
  • BRAINLIEST! I really need help I need real answers not just guessing
    12·1 answer
  • Hi am new. What do I do
    12·2 answers
  • Alexa can blow 15 balloons in 20 minutes. Sara can blow 18
    7·1 answer
  • La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!