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
Rama09 [41]
3 years ago
6

Help fast please Mario completely covered a square floor using 98.5 ft² of hardwood without any overlap.

Mathematics
1 answer:
kupik [55]3 years ago
5 0

Answer: The answer is 10 ft. I took the test but it didn't explain why it was the answer.

You might be interested in
A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b
mixer [17]

Answer:

  $4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

  (5/4x)(x²) = 640 ft³

  x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

  x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

  64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

  c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

  c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

__

Algebraically, you can set the derivative to zero to find the value of x.

  dc/dx = 0 = 50x -25600/x²

  512 = x³ . . . . multiply by x²/50 and add 512

  8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

8 0
3 years ago
PLEASE HELP ITS DUE IN 5 MINUTES
babunello [35]
Y - 18 = -1.5(x - 12)

I hope this helped out! Have a nice day :)

(Good luck!)
8 0
3 years ago
The graph of F(x), shown below, has the same shape as the graph of
yarga [219]

Answer:

x^3-1

Step-by-step explanation:

f(x)=g(x)-1 since was shifted down 1 unit                                        x^3-1

f(x)=g(x)+1 would have been a shift up of 1 unit                             x^3+1

f(x)=g(x-1) shifted right 1 unit                                                            (x-1)^3

f(x)=g(x+1) shifted left one unit                                                        (x+1)^3

Anyways the answer is f(x)=x^3-1

8 0
3 years ago
Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that th
ohaa [14]

Answer:

The y-intercept is 40. This is the cost of registration ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Patrick wanted to gather data about the cost of joining a community

 pool in his area

- He plotted the data and determined that the average community

 pool membership cost consists of a one-time registration fee and

 a monthly fee

∴ The cost consists of two parts:

# Part A: one-time registration fee, it is a fixed amount not depend on

  any other condition

# Part B: monthly fee, it depends on the number of months

- He modeled that by the equation y = 15 x + 40, where

# y is the cost for the membership

# 15 is the monthly fee

# x is the number of months

# 40 is the one-time registration

- The form of the equation is y = mx + c, where c is the y-intercept

∴ The y-intercept in the equation y = 15 x + 40 is 40

∴ The y-intercept is the one-time registration fee

* The y-intercept is 40. This is the cost of registration

4 0
3 years ago
A shop sells 3 pairs of boots at size 6, 5 pairs at size 7. 8 pairs at
alina1380 [7]

modusAnswer:

median=8

modusmodusmodus=8

Step-by-step explanation:

6,6,6,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,11

median=[ttTTeTTextTTeTTexteTexTTeTTextTTeTTexteTex]X_{\frac{21+1}{2}}=X_11

4 0
2 years ago
Other questions:
  • What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of
    6·1 answer
  • A right triangle has legs that are 10.1in and 12.2 in long. What is the approximate length of the hypotenuse?
    12·1 answer
  • Which of the following is equal to the fraction below? (7/4)^ 11
    9·2 answers
  • Tina wants to install a square hot tub in her backyard.The backyard is 10 feet by 5o feet,and the hot tub will be 8 feet by 8 fe
    6·1 answer
  • whats the answer help
    13·2 answers
  • Need help on these questions ASAP DUE TOMORROW PLEASE
    13·1 answer
  • The distance from Leoti, Kansas to Dighton, Kansas on the map is approximately 2.5 inches. The key to the map states that 1 inch
    13·1 answer
  • The diagram shows the locations of Cody and Reese after running
    12·2 answers
  • C ÷ 3/4 = 4. whats c?
    11·1 answer
  • Subject
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!