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
Nataliya [291]
3 years ago
7

4. A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

b. Regardless of the size she chooses, the area of the wall that is being tiled is the same

Reason: The area of the wall must be the same as the area of the tiles irrespective of the measure of tiles.

c. She will need four 4-inch tiles to cover the same area as one 8-inch tile.

Reason: Area of one 8-inches = 4 *area of one 4-inch tiles

64 = 4*16

64 = 64

Step-by-step explanation:

Let's find the area of the rectangular wall of the bathroom.

Area of the rectangular wall = length x width

= 80 x 40

= 320 square inches.

Now let's find the area of each tiles.

All the tiles are in square shapes.

Area of the tile which is 8 inches in length = 8 x 8 = 64 square inches

Area of the tile which is 4 inches in length = 4 x 4 =  16 square inches

Area of the tile which is 2 inches in length = 2 x 2 = 4 square inches

Let's find the number of tiles needed to tile the rectangular wall.

The number 8 inches tiles needed = \frac{320}{64} = 5 tiles

The number 4 inches tiles needed = \frac{320}{16} = 20 tiles

The number 2 inches tiles needed = \frac{320}{4} = 80 tiles

Now let's find the correct statements.

b. Regardless of the size she chooses, the area of the wall that is being tiled is the same

Reason: The area of the wall must be the same as the area of the tiles irrespective of the measure of tiles.

c. She will need four 4-inch tiles to cover the same area as one 8-inch tile.

Reason: Area of one 8-inches = 4 *area of one 4-inch tiles

64 = 4*16

64 = 64

You might be interested in
Simplify the ratio 24:120
Vaselesa [24]
24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

24:120 / 24:24 = \\  1:5
3 0
3 years ago
Read 2 more answers
6 men can complete a job in 20 days.if the men work at the same rate.how many more are needed to complete the job in 12 days
Vlada [557]
The answer is 5 days. I hope that helped.
6 0
3 years ago
PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST
uysha [10]

Answer:

Step-by-step explanation:

Let x represent the seating capacity

Number of seats = 40+x

Profit per seat = 10 - 0.20x

For maximum number of seats

P(x) = ( 40+x ) ( 10-0.20x )

P(x) = 400+10x-8x-0.2x^2

P(x) = 400+2x- 0.2x^2

Differentiating with respect to ( x )

= 2 - 0.4x

0.4x = 2

x = 2/0.4

x = 5

The seating capacity will be 40+5 = 45

For the maximum profits

40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1

= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )

= 400 + (48/2)(2X0.1 + (48-1)X0.1)

= 400 + 24(0.2 + 4.7)

= 400 + 24(4.9)

= 400 + 117.6

= 517.6

= 517.6dollars

3 0
3 years ago
The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.
Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

<u>Year 1</u>

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

<u>Year 2</u>

  • 1.2x (1 + 25%)
  • 1.2x (1.25)
  • 1.5x

<u>Year 3</u>

  • 1.5x (1 + 30%)
  • 1.5x (1.3)
  • 1.95x

<u>Year 4</u>

  • 1.95x (1 + 10%)
  • 1.95x (1.1)
  • 2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0
2 years ago
A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon
iris [78.8K]

3 minutes - 2 minutes = 1 minute

30 gallons - 12 gallons = 18 gallons

 it is draining at 18 gallons per minute

equation would be: y = -18x

7 0
3 years ago
Other questions:
  • I don't really understand or even know how to do this ​
    7·1 answer
  • Chris has a bag of sweets. there are more than 20 sweets in a bag.
    14·2 answers
  • What is 22,119 rounded to the nearest hundred?
    6·1 answer
  • Which is greater -121.06 or 117.39 ?
    6·1 answer
  • What is 1.362*10^9 equal to
    7·1 answer
  • The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d
    13·2 answers
  • The expression (7+8x)+2x is simplified in several steps below. For each step, choose the reason that best justifies it. No links
    7·1 answer
  • Find f(-4) if f(x) =-x-5.
    14·2 answers
  • Please help Do not use me for a point please please help
    14·1 answer
  • Help me please:) will very much appreciate it
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!