LILY ATE 1/3 OF AN APPLE PIE, AND CHAD ATE 3/8 OF THE SAME PIE WHAT FRACTION OF THE PIE WAS EATEN

Answer:

24 cm

Step-by-step explanation:

For square's to be congruent they must be exactly the same. Also, since squares must have 4 equal sides, both the length and width of the canvas must be divided by the same number in order to give us the longest side. Therefore, since the smallest number we can divide both the width and length by is 2 we are left with 4 equal squares with a size of 18 x 24. Therefore, the longest side length would be 24 cm.

THe closest answer i got was 18122

Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

Using the combination, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

In the given question,

We have to find how many 7 digit phone numbers are there in which the digits are non-increasing and that is, every digit is less than or equal to the previous one.

We have to write 7 digit phone number.

Let the 7 digit are

A, B, C, D, E, F, G

Every digit is less than or equal to the previous one.

A ≥ B ≥ C ≥ D ≥ E ≥ F ≥ G

The sum of these number is 7.

So |A| + |B| + |C| + |D| + |E| + |F| + |G| = 10

We always have precisely one non-increasing digit for any given set of seven digits. Therefore, the solution to our problem is to make it simpler to calculate the total number of combinations where 7 digits must be chosen from a set of 7 digits where each digit is repeatable.

So the solution should be

= \(^{7+7-1}C_{7}\)

= \(^{13}C_{7}\)

We know that \(^nC_{r}=\frac{n!}{r!(n-r)!}\)

= \(\frac{13!}{7!(13-7)!}\)

= \(\frac{13!}{7!6!}\)

Simplifying

= \(\frac{13\times12\times11\times10\times9\times8\times7!}{7!\times6\times5\times4\times3\times2\times1}\)

Simplifying

= 13×11×2×3×2

= 1716

Hence, 1716 are 7 digit phone numbers in which the digits are non-increasing and every digit is less than or equal to the previous one.

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We diagree with Marco because

and

where, in the first expression, we factorized x and got

and in the second one, we got

In summary, the first expression is equal to x and the second one is equal to zero, so they are different expressions.

Answer:

the answer is 9 be ause the other side is 9

Answer:

14.48º

Step-by-step explanation:

tan^-1(100/77) = 52.403...

tan^-1(60/77) = 37.926...

52.403 - 37.926 = 14.477

Answer: 2021

Step-by-step explanation:

Answer:

SN = √29 cm = 5.39 cm (2 dp)

Step-by-step explanation:

Using the given information, we can create a new right triangle with hypotenuse SN, then use Pythagoras' Theorem to find the length of SN.

Extend the line SU to the left until it is under point N → label this point P.  Connect point P to point N.  This creates a new right triangle (see attachment).

If BU = 4 cm, and M is the midpoint of BU, then UM = 2 cm

⇒ PN = UM = 2 cm

As NM = 2, then PU = 2 cm

⇒ PS = PU + US = 2 + 3 = 5 cm

Therefore, the two legs of the right triangle with SN as its hypotenuse are 2 cm and 5 cm.

Using Pythagoras' Theorem:

⇒ a² + b² = c²

⇒ 2² + 5² = SN²

⇒ 4 + 25 = SN²

⇒ SN² = 29

⇒ SN = √29 cm = 5.39 cm (2 dp)

Answer:

201.06in^2

Step-by-step explanation:

Use area formula which is pi(r)^2

Answer:

200.96 in.

Step-by-step explanation:

**THE PRIZE WHEEL IS THE SHAPE OF A CIRCLE.**

The formula for area of a circle is: πr² (3.14 × radius × radius).

**3.14 IS COMMONLY USED FOR PI**

According to the word problem, the prize wheel has a radius of 8.

πr² (3.14 × radius × radius)

π8² (3.14 × 8 × 8) = 200.96

Therefore, the area of the prize wheel is 200.96 in.

\(\boxed{\sf tan\theta=\dfrac{p}{b}}\)

\(\\ \sf\longmapsto tan\theta=\dfrac{13}{20}\)

\(\\ \sf\longmapsto tan\theta=0.6\)

\(\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}\)

\(\\ \sf\longmapsto tan\theta\approx tan60\)

\(\\ \sf\longmapsto \theta\approx 60°\)

Answer:

gfdxkcgftdkrxclfdrkyxcfdretkx

Step-by-step explanation:

If one batch of cupcakes takes about 17 minutes to bake, we can multiply this time by the number of batches to find out how long 10 batches of cupcakes will take.

10 batches * 17 minutes per batch = 170 minutes. To convert this to hours and minutes, we divide by 60: 170 minutes ÷ 60 = 2 hours and 50 minutes. Therefore, 10 batches of cupcakes will take 2 hours and 50 minutes to bake. If one pan takes 12 cupcakes, we need to determine how many pans will be required to bake 105 cupcakes. 105 cupcakes ÷ 12 cupcakes per pan = 8.75 pans. Since we can't have a fraction of a pan, we need to round up to the nearest whole number. Therefore, she will have to bake 9 batches of cupcakes for 105 cupcakes. If she sells 75% of the cupcakes, we need to calculate the total amount of money she will make. 75% of the cupcakes is (75/100) * 105 cupcakes = 78.75 cupcakes. Since we can't have a fraction of a cupcake, we round down to the nearest whole number. She will sell 78 cupcakes. To find the total amount of money made, we multiply the number of cupcakes sold by the selling price: 78 cupcakes * R13.50 per cupcake = R1,053.

Therefore, she will make R1,053 if she sells 75% of the cupcakes.

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The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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To find the percentage of time that cars will be unable to enter the queue, we need to use the M/M/1 queueing model with finite queue length. The M/M/1 model assumes that the arrival and service times are both exponentially distributed, which is the case in this problem. The finite queue length means that there is a limit to the number of cars that can be in the waiting line.

The parameters for this model are:

λ = 20 cars per hour = 0.333 cars per minute (arrival rate)
μ = 1 car per 2 minutes = 0.5 cars per minute (service rate)
K = 3 (maximum queue length)

The probability that the queue is full and a car cannot enter is given by the formula:

P(K) = (1 - ρ) * (ρ^(K+1)) / (1 - ρ^(K+1))

where ρ = λ / μ is the traffic intensity.

Plugging in the values for λ, μ, and K, we get:

ρ = 0.333 / 0.5 = 0.666
P(3) = (1 - 0.666) * (0.666^(3+1)) / (1 - 0.666^(3+1))
P(3) = 0.334 * 0.197 / (1 - 0.197)
P(3) = 0.0658

Therefore, the percentage of time that cars will be unable to enter the queue is 6.58%.

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To find the point of intersection (P) of the lines r1 and r2. First, let's express the parametric equations of the lines as follows:r1(t) = (2, 1 - 2t, 8 + t)
           r2(t) = (6.5 - 3t, 0.5 + 3t, 10.5 - 3t)

For these lines to intersect, the corresponding coordinates must be equal. Let's denote the parameter for r1 as t1 and for r2 as t2. This gives us the following system of equations:

1. 2 = 6.5 - 3t2
2. 1 - 2t1 = 0.5 + 3t2
3. 8 + t1 = 10.5 - 3t2

Solving equation 1 for t2, we get t2 = (6.5 - 2) / 3 = 1.5. Now, we can plug this value into equations 2 and 3:

1 - 2t1 = 0.5 + 3(1.5) => t1 = -2
8 + (-2) = 10.5 - 3(1.5) => t1 = -2

Since both equations result in t1 = -2, we have a consistent solution. Now, we can find the point of intersection P by plugging t1 and t2 into the parametric equations of r1 and r2:

P = r1(-2) = (2, 1 - 2(-2), 8 - 2) = (2, 5, 6)

Therefore, the point of intersection P is (2, 5, 6).

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Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

one

Step-by-step explanation:

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

The value of the sinθ is -3/5.

What is the Pythagorean identity?

The Pythagorean trigonometric identity, also known as the Pythagorean identity, is a trigonometric identity that expresses the Pythagorean theorem. It is one of the fundamental relationships between the sine and cosine functions, along with the sum-of-angles formulae.

We have,

cosθ = 4/5

sin θ = ?

We'll use the definition of cos to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.

\(cos\theta = \frac{Adjacent}{hypotenuse} = \frac{4}{5}\)

We know the hypotenuse and adjacent sides and we'll use the Pythagorean theorem to find the remaining side(opposite side).

opposite = √hypotenuse² − Adjacent²

opposite = √(5)² − (4)²

opposite = √25 - 16

opposite = √9

opposite = 3

\(sin\theta = \frac{opposite}{hypotenuse}\)

sin θ = 3/5

In the fourth quadrant, the sine and tangent ratios are negative and the cosine ratio is positive.

Hence, the value of the sinθ is -3/5.

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Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

                              = 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

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The correct model for the linear equation is y = mx + b

Given data ,

To find the correct equation of a linear model, you need to have two pieces of information: the slope of the line (often represented by the variable "m") and the y-intercept of the line (often represented by the variable "b").

Now , the slope-intercept form of the equation for a line, which is:

y = mx + b

where "y" is the dependent variable (often representing the output or response), "x" is the independent variable (often representing the input or predictor), "m" is the slope, and "b" is the y-intercept.

Hence , the equation of linear model is y = mx + b

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Answer:

x=-8

Step-by-step explanation:

We are solving for the variable, x, so let us isolate all terms of x. Let us start by moving the numerical value 2 to the right side, thereby isolating the term 2x on the left:

2x= -18+2

2x=-16

So close! Let us divide both sides by 2 now:

x= -8

I hope this helps! Please let me know if you have any further questions :)

Answer:

-8

Step-by-step explanation:

Hey there

steps:

2x-2=-18

add 2 to both sides:

2x-2+2= -18+2

simplfy:

2x= -16

divide both sides by 3 :

\(\frac{2x}{2} = \frac{-16}{2}\)

simplfy :

x = -8

have a wonderful day

Answer:

-5

Step-by-step explanation:

3x²y + xy²​

Let x = -1/2 and y = 4

3(-1/2)^2 (4) + (-1/2) (4)^2

Exponents first

3(1/4) (4) + (-1/2) 16

Multiply

3 - 8

Subtract

-5

​

Answer:   \(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}\)

Step-by-step explanation:                                                                                                                                                                                                                     simplify it                                                                                                                  \(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)\)                                                                       evalute                                                                                                        \(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}\)                                                                                                                                                                                                                                                              

Answer:

C is your correct answer i think

Step-by-step explanation:

Answer:

23, 25

Step-by-step explanation: