Answer:
273 tiles
Step-by-step explanation:
Given
Square tile
[tex]Side=\frac{1}{2} ft[/tex]
Bathroom floor
[tex]Length = 10\frac{1}{2}ft[/tex]
[tex]Width = 6\frac{1}{2}ft[/tex]
Required
Determine the number of tiles to cover the floor
First, we calculate the area of the floor:
[tex]A_{floor} = Length * Width[/tex]
[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]
Convert to decimals
[tex]A_{floor} = 10.5 * 6.5[/tex]
[tex]A_{floor} = 68.25ft^2[/tex]
Next, we calculate the area of the square tile:
[tex]A_{tile} = Side * Side[/tex]
[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]
Convert to decimal
[tex]A_{tile} = 0.5 * 0.5[/tex]
[tex]A_{tile} = 0.25ft^2[/tex]
The number of tiles is then calculated as:
[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]
[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]
[tex]Tiles = \frac{68.25}{0.25}[/tex]
[tex]Tiles = 273[/tex]
hi can you tell me whether a appeal must be filed within 6 months of a claim determination. its medical billing chapter 18
Answer: Decisions and Determinations -If a Medicare appeal request does not result in a dismissal, adjudication of ... dismissal by providing an explanation for the late filing to the MAC within 6 months of the dismissal of the.
Step-by-step explanation:g brain
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
4 The expression (2x² + 6x + 5)-(6x² + 3x + 5) is
equivalent to
1) 4x2 + 3x
2) 4x2 – 3x
3) 4x2 – 3x + 10
4) 4x2 + 3x - 10
Answer:
1) 4x² + 3x
Step-by-step explanation:
Add/Combine like terms:
2x² - 6x² = -4x²
6x - (+3x) = 3x
5 - (+5) = 0
Simplify: -4x² + 3x
Rita is making chili. The recipe calls for 4 3/4
cups of tomatoes.
How many cups of tomatoes are used in the recipe? Enter your answer as a fraction greater than 1.
Answer:
5 3/4
Step-by-step explanation:
Answer:
in my opinion i would say.. 4/1 cause how many cups but if im wrong im sorry
Step-by-step explanation:
Did I do this right math functions need fast
Answer:
The rate of change of Function A is less than the rate of change of function B.
Other than that, everything else you put is correct.
Step-by-step explanation:
None.
Answer:
Option A, B and D are correct options.
Step-by-step explanation:
First we will find rate of change of function A and function B
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=5, x_2=2, y_2=7
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{7-5}{2-1}\\Rate\:of\:Change=\frac{2}{1}\\Rate\:of\:Change=2[/tex]
So, Rate of change of Function A = 2
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the function, we can write the equation: y=2x+3
Now, put x =0
y=2(0)+3
y=3
So, when x =0, y=3
So, y-intercept is 3 for function A.
Rate of Change of Function A
The formula used to calculate rate of change is: [tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=1, y_1=1, x_2=2, y_2=4
Putting values in formula and finding rate of change
[tex]Rate\:of\:Change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:Change=\frac{4-1}{2-1}\\Rate\:of\:Change=\frac{3}{1}\\Rate\:of\:Change=3[/tex]
So, Rate of change of Function B = 3
Now, finding y-intercept.
y-intercept is found by putting x =0
Looking at the graph, when x=0, y is -2
So, y-intercept is -2 for function B.
We get following answers:
Rate of change of Function A = 2
Rate of change of Function B = 3
y-intercept is 3 for function A.
y-intercept is -2 for function B.
So, The correct options are:
The rate of change of function A and B are positive
The rate of change of function A is less than the rate of change of function B. (Because 2 is less than 3)
The y-intercept of function A is positive, while y-intercept of function B is negative.
So, Option A, B and D are correct options.
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Write the following number in scientific notation:
4, 332
4.332 x 10³
Step-by-step explanation:
hope it helps!
PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answer: y=4/3x-8
Step-by-step explanation:
turn -2x+4y=0 into slope-intercept form
I need help I’m so confused
Answer:
5.60 ganeyryjfj3ym5uhwrbeyny3nte y
I need help with this
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x
Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she plant in one hour?
Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Write an equation representing the number of calories Tristan has burned with respect to the number of minutes since he and Keith started exercising.
Answer:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute.The equation for Gwen is
y = 100 + 10x
Question 2)`Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Question 3)Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith isy = 10x
Step-by-step explanation:
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
What are the solutions to the absolute value inequality |x − 70| ≤ 3?
Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.
An expression |x - a| = b signifies that x - a = b or -(x - a) = b
Given that |x − 70| ≤ 3, hence:
|x − 70| ≤ 3
x - 70 ≤ 3 or -(x - 70) ≤ 3
x ≤ 3 + 70 or x - 70 ≥ -3
x ≤ 73 or x ≥ -3 + 70
x ≤ 73 or x ≥ 67
67 ≤ x ≤ 73
Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73
What is the slope of the line
(Picture below)
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
Raul is considering three different
Answer:
WHAT?!
Step-by-step explanation:
hellpp please 20 points for that
Answer:
a) 12cm
b) 360cm²
c) 2160cm cubed
Step-by-step explanation:
a)
you would use Pythagoras theorem for A
so half of 18 is 9
15² - 9² = 144
the square root of 144 is 12
the height is 12cm
b)
18 x 20 = 360cm²
c)
csa x L
csa = b x h divide by 2
18 x 12 = 216cm²/2 = 108cm²
108xm² x 20cm = 2160cm cubed
Question 5(Multiple Choice
PLEASE HELP ME!
Worth 5 points)
(01.02 MC)
Which of the following correctly uses absolute value to show the distance between -80 and 15?
01-80 - 151 = 1-95] = -95 units
01-80 + 15| = |-651 = 65 units
01-80 – 151 = 1-95) = 95 units
01-80 + 15= |-65= -65 units
Answer:01-80 + 15= |-65= -65 units
Step-by-step explanation:
What is 2k2 – 13k – 24 factored
Answer:
(2k+3) (k−8)
Step-by-step explanation:
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
What percent is equivalent to 24/50 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
(24/50)2
= 48/100
= 48%
Help please ☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️
Answer:
5/6
Step-by-step explanation:
Answer:
1 1/2 - 2/3 = 5/6
Step-by-step explanation:
I hope i helped ^^
How to solve for x?
Answer:
159
Step-by-step explanation:
35x-1 =-35 plus 34x20
A company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C=2.5x+21 and the revenue R, in dollars, made by selling x items is given by the equation R=6x. The break even point is the point where the cost and the revenue intersect. How many items must the company sell to break even?
Answer:
see the attachment
Step-by-step explanation:
The break-even point is on both curves. The y-intercept can be used for the other point in each case.
The break-even point is where cost and revenue are the same:
20/3x +50 = 10x
50 = 10/3x . . . . . . . . subtract 20/3x
15 = x . . . . . multiply by 3/10
r = c = 10(15) = 150 . . . . for x = 10
Two points you can use for graphing the lines are ...
cost: (0, 50) and (15, 150)
revenue: (0, 0) and (15, 150)
9514 1404 393
Answer:
6
Step-by-step explanation:
Cost and revenue are equal when ...
C = R
2.5x +21 = 6x
21 = 3.5x . . . . . . subtract 2.5x
6 = x . . . . . . . . . .divide by 3.5
The company must sell 6 items to break even.
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
A football is kicked straight up into the air from 3 feet above the ground with an initial velocity of 208 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 208t + 3.
a) Find how long it takes for the football to reach its maximum height.
b) Determine how long the football was in the air (approximately). Why might this not quite be accurate?
c) Determine the maximum height of the football.
Answer:
a) 6.5 secondsb) 13 secondsc) 679 ftStep-by-step explanation:
Given function:
h(t) = -16t^2 + 208t + 3a) Maximum height is the vertex. The ball reaches the maximum after:
h = -208/2(-16) = 6.5 secondsb) Time the ball was in the air:
-16t^2 + 208t + 3 = 0Solving we get approximately t = 13 seconds
c) Maximum height is at vertex, we found t above:
h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ftSimplify
2g + 4h + 4i -8g + 3h - 4i
Answer:
-6g + 7h
Step-by-step explanation:
What is the slope of a line parallel to y=2x + 3
Answer:
2
Step-by-step explanation:
The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
Hello!
Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.
Therefore, the slope is 2. Hope it helps.
If you have any questions, feel free to ask.
~A forlorn teen
[tex]MagicalNature[/tex]
I need help please ASAP