Michael and Tracy are carpeting their family room that is 15 1/2 feet long and 12 1/4 feet wide. To find the amount of carpet needed, Michael says to multiply 15 1/2 and 12 1/4 and Tracy says to multiply 12 1/4 and 15 1/2. Who is right? How much carpet is needed?

Answers

Answer 1

Answer:

Both of them are right

The amount of carpet needed is 189 7/8 feet

Step-by-step explanation:

Here, we want to get the person with the right calculations step between Michael and Tracy

From what we can see in the question, both exactly have the same calculations

They only differ in the number to put first

So we can say both are right

The amount of carpet needed will be;

12 1/4 * 15 1/2

= 49/4 * 31/2 = 1519/8

= 189 7/8 square feet


Related Questions

Did I do this right math functions need fast

Answers

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.

What percent is equivalent to 24/50 24% 48% 50% 52%​

Answers

Answer:

48%

Step-by-step explanation:

(24/50)2

= 48/100

= 48%

Simplify
2g + 4h + 4i -8g + 3h - 4i​

Answers

Answer:

-6g + 7h

Step-by-step explanation:

The question is:
Which calculation and answer show how to convert 13/16 into a decimal

Answers

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

What is the mean of 8,7,6,9,8.5,7.5,10,5.5,7,9,8.5,7,9.5,8,8.5

Answers

Answer:

the mean is 7.93

Step-by-step explanation:

min5.5

median8

max10

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

Answers

Answer:

1) 4x² + 3x

Step-by-step explanation:

Add/Combine like terms:

2x² - 6x² = -4x²

6x - (+3x) = 3x

5 - (+5) = 0

Simplify: -4x² + 3x

Write the following number in scientific notation:
4, 332

Answers

4.332 x 10³

Step-by-step explanation:

hope it helps!

PLEASE HELP ME THANK YOU ILL MARK BRAINLESS

Answers

Answer: y=4/3x-8

Step-by-step explanation:

What is the slope of the line
(Picture below)

Answers

rise and run, (8,7)

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.

Answers

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

Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).

Answers

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!

Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?

A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78

Answers

Answer:

D

Step-by-step explanation: edge 2021

What is the slope of a line parallel to y=2x + 3

Answers

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]

. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)

Answers

Answer:

0.15 = 15% probability that it came from Site 3

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Being recalled

Event B: Recalled from site 3.

Probability of being recalled:

5% of 60%(from site 1)

7% of 30%(from site 2)

9% of 10%(from site 3).

So

[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]

Probability of being recalled, being from site 3.

9% of 10%.

[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]

If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]

0.15 = 15% probability that it came from Site 3

I need help with this

Answers

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

integral of below.

ſ√y . e^-y^3​

Answers

Assuming you're equipped with the error function,

[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]

whose derivative is

[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]

by substituting x = √y, so that x ² = y and 2x dx = dy, we have

[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]

Then if u = x ³ and du = 3x ² dx, we have

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]

If you're not familiar with the error function, unfortunately there is no elementary antiderivative...

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.

(2x - 3y )(4x - y )

Answers

xy - -4x²

Step-by-step explanation:

(2x - 3y)(4x -y)

2x( 4x -y) -3x( 4x - y)

8x² - 2xy - 12x² + 3xy

8x²- 12x²- 2xy + 3xy

-4x² + xy

xy - -4x²

The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.

Answers

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220 would be 48.

The amount of change over those three days is 268 points.

Here,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points.

We have to find,  the amount of change over those three days.

What is amount?

The sum total of two or more quantities or sums, is called amount.

Now,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday.

Hence, the points after loss = 220 - 48 = 172

And, when it gained 96 points.

Then, the points after gain = 172 + 96 = 268

Hence, The amount of change over those three days is 268 points.

Learn more about the amount visit:

https://brainly.in/question/38239895

#SPJ2

Raul is considering three different

Answers

Answer:

WHAT?!

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 =

Answers

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.

Answers

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

hellpp please 20 points for that​

Answers

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

-7 + 5


Explain Thank you

Answers

Answer:

-7 + 5 = -2

Step-by-step explanation:

Basically, this equation can be thought of as 5 - 7, which would equal -2.

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?

Answers

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.

turn -2x+4y=0 into slope-intercept form

Answers

Y=1/2x +0. You add the 2x to the other side, and then divide everything by 4 to have only 1y.

What is 2k2 – 13k – 24 factored

Answers

Answer:

(2k+3) (k−8)

Step-by-step explanation:

hi can you tell me whether a appeal must be filed within 6 months of a claim determination. its medical billing chapter 18​

Answers

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

-4x+y=3 plzz answerrr simplify itt

Answers

Answer:

x= -3/4 + y/4

Step-by-step explanation:

Move all terms that don't contain

x to the right side and solve.

Answer:

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

Step-by-step explanation:

[tex] - 4x + y = 3[/tex]

[tex] - 4x = 3 - y[/tex]

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

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.

Answers

Answer:

a) 6.5 secondsb) 13 secondsc) 679 ft

Step-by-step explanation:

Given function:

h(t) = -16t^2 + 208t + 3

a) Maximum height is the vertex. The ball reaches the maximum after:

h = -208/2(-16) = 6.5 seconds

b) Time the ball was in the air:

-16t^2 + 208t + 3 = 0

Solving 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 ft

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?

Answers

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]

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A number line from negative 5 to 0 to positive 5 is shown. There are increments of 1 over 2, and only the whole numbers are labeled on either side of 0. Point A is shown on 8 places to the right of 0, Point B is shown on 5 places to the left of 0, and a point C is shown on 5 places to the right of 0. D is shown 8 places to the left of 0. A number line from negative 5 to 0 to positive 5 is shown. There are increments of 1 over 2, and only the whole numbers are labeled on either side of 0. A point A is shown on 8 places to the left of 0, A point B is shown on 5 places to the left of 0, and a point C is shown on 5 places to the right of 0. D is shown 8 places to the right of 0. A number line from negative 5 to 0 to positive 5 is shown. There are increments of 1 over 2, and only the whole numbers are labeled on either side of 0. A point A is shown on 8 places to the right of 0, A point B is shown on 5 places to the right of 0, and a point C is shown on 5 places to the left of 0. 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