A bakery sells 9 vanilla cakes for every 5 chocolate cakes. This is represented in the diagram below. Use the drop-down menus to explain how you can use the diagram to find the number of chocolate cakes that the bakery sells if they sell 54 vanilla cakes.

Answer:

\( \huge{ \boxed{ \sf{ \frac{1}{64} }}}\)

Step-by-step explanation:

\( \star{ \sf{ \: \: \: {4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } }}\)

\( \underline{ \: \text{Remember!}} : \) If \( \sf{ {x}^{a} \: and \: {x}^{b} }\) are two algebraic terms , then their quotient is given by \( \sf{ {x}^{a} \div {x}^{b} = {x}^{a - b} } \)

i.e To divide two terms with the same base, the power of divide is subtracted from the power of the dividend and the same base is taken.

\( \mapsto{ \sf{ {4}^{ - \frac{11}{3} - ( - \frac{2}{ 3}) } }}\)

\( \sf{We \: know \: that : ( - ) \times ( - ) = ( + )}\)

\( \mapsto{ \sf{ {4}^{ - \frac{11}{3} + \frac{2}{3} } }}\)

Now, Simplify : -11/3 and 2/3

While performing the addition or subtraction of like fraction, you just have to add or subtract the numerator respectively in which the denominator is retained same.

\( \mapsto{ \sf{ {4}^{ \frac{ - 11 + 2}{3} } }}\)

\( \underline{ \text{Remember!}} : \) The negative and positive integers are always subtracted but posses the sign of the bigger integer

\( \mapsto{ \sf{ {4}^{ \frac{ - 9}{3} } }}\)

Divide -9 by 3

\( \mapsto{ \sf{ {4}^{ - 3} }}\)

\( \underline{ \text{Remember!}} : \) If \( \sf{ {a}^{ - m}} \) is an algebraic term , where m is a negative integer , then

\( \sf{ {a}^{ - m} = \frac{1}{ {a}^{m} } }\)

\( \mapsto{ \sf{ \frac{1}{ {4}^{3} } }}\)

Evaluate the power : 4³

\( \mapsto{ \sf{ \frac{1}{64} }}\)

Hope I helped!

Best regards!:D

~\( \text{TheAnimeGirl}\)

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

8 white balloons

56 balloons in total

8:56 = 1:7

Answer:A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

Answer:

10

Step-by-step explanation:

20-10=10

Answer:

10

Step-by-step explanation:

20-10 = 10

8x^2y + 12xy - 16xz

= 4x (2xy+3-4z)

Answer: 4x(2xy+3-4z)

Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Answer:

Step-by-step explanation:

Answer:

\(P(\overline{W})=0.99281\)

Step-by-step explanation:

W denotes the event of screening a driver and getting someone who is intoxicated.

Out of 695 drivers, the man observed that 5 were arrested for driving while intoxicated.

Therefore: \(P(W)=\dfrac{5}{695} \approx 0.00719\)

The probability of the complement of event W, \(\overline{W}\) denotes the probability of screening a driver and getting someone who is NOT intoxicated.

From probability theory, we know that the sum of the probability of an event and its complement is 1.

\(P(W)+P(\overline{W})=1\\P(\overline{W})=1-P(W)\\=1-0.00719\\\\P(\overline{W})=0.99281\)

The measure of angle C is given as follows:

m < C = 44º.

To obtain the measures of the angles in this problem, we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

Considering that the sum of the measures of the internal angles of a triangle is of 180º, and angles C, D and E, the value of x is obtained as follows:

4x - 16 + 6x - 1 + 4x - 13 = 180

14x - 30 = 180

14x = 210

x = 210/14

x = 15.

Hence the measure of angle C is obtained as follows:

m < C = 4 x 15 - 16 = 44º.

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Maureen's pension would be $50,035.20.

What is Percentage?

To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

First, we need to calculate the average of Maureen's three highest salaries:

Average = (107,000 + 107,800 + 108,198) / 3

Average = 322,998 / 3

Average = 107,666

Next, we need to calculate 1.56% of this average:

Percentage = 1.56% * 107,666

Percentage = 1,667.84

Finally, we multiply this percentage by the number of years worked to find the pension:

Pension = 30 * 1,667.84

Pension = 50,035.20

So, Maureen's pension would be $50,035.20.

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Answer:

x=4

Step-by-step explanation:

Answer:

\( x = 24.4\)

Step-by-step explanation:

We arre given a right angled triangle and we are interested in solving out for " x " .

Here we can make use of trigonometric ratios for a right angled triangle.

We can see that the sides involved in the triangle are perpendicular and base therefore we can make use of ratio of tangent .

In a right angled triangle, tangent is ,

\(\implies \tan\theta =\dfrac{p}{b}\\\)

where,

And here ,

On substituting the respective values, we have;

\(\implies \tan38^o = \dfrac{19}{x} \\\)

\(\implies 0.78 =\dfrac{19}{x} \\\)

\(\implies x = \dfrac{19}{0.78}\\\)

\(\implies x = 24.35 \\\)

After rounding off to nearest tenth ,

\(\implies \boxed{ x = 24.4} \\\)

Hence the value of x is 24.4 .

The probability that the hat was blue or was from Manufacturer B is 0.8677.

The P\((red)^{c}\) is 0.6985.

The P(manufacturer B and Red) is 0.1640.

The P(Manufacturer B or Red) is 0.8456.

Probability is used to determine the odds that a random event would happen. The odds that the random event happens range from 0 to 1.

The probability that the hat was blue or was from Manufacturer B = (number of blue hats / total number of hats) + (number of hats from manufacturer B / total number of hats)

The probability that the hat was blue or was from Manufacturer B = (44 / 136) + (74 / 136) = 118/136 = 0.8677

The P\((red)^{c}\) = complement of red = hats that are not red = (number of black hats + number of blue hats) / total number of hats

The P\((red)^{c}\) = (51 + 44) / 136

The P\((red)^{c}\) = 95 / 136

The P\((red)^{c}\) = 0.6985

The P(manufacturer B and Red) = (number of hats produced by manufacturer B / total number of hats) x (number of red hats / total number of hats)

(74 / 136) x (41 / 136) = 0.1640

The P(Manufacturer B or Red) =  (number of hats produced by manufacturer B / total number of hats) + (number of red hats / total number of hats)

(74 / 136) + (41 / 136) = 115 / 136 = 0.8456

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The best search engine for Musical Instrument and Sound Effects in MP3 Audio Online is MP3 realm.

MP3 is a digital audio coding format developed primarily by the Fraunhofer Society in Germany, with assistance from other digital scientists in the United States and elsewhere.

MP3 (MPEG-1 Audio Layer-3) is a standard technology and format for compressing a sound sequence into a small file (about one-twelfth the size of the original file) while maintaining the original level of sound quality when played. MP3 files, which take up very little hard drive space, are commonly used to store a song or an entire CD.

MP3 Realm is a music search engine that allows you to find MP3 tracks from all over the Internet.

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It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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Answer:

Step-by-step explanation:

The correct answer for this question is Phil can swim 90 meters in 2 minutes.

According to the given question, Phil can swim 15 meters in 20 second.

So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s

In other words, the speed of swimming of Phil is 0.75 m/s.

So, in 2 minutes i.e. in 120 second, the distance Phil can travel:

Distance= Speed x Time

Distance= 0.75 m/s x 120 s

Distance= 90 meters.

Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.

Answer:

Step-by-step explanation:

Let the consecutive integers be x - 1 , x , x + 1

Equation

2*(x - 1 + x) = 3*(x+1) - 2

Solution

2(2x - 1) = 3(x + 1) - 2           After the first two have been combined remove the brackets.

4x - 2 = 3x + 3 - 2               Combine the right

4x - 2 = 3x + 1

4x - 2 + 2 = 3x + 1 + 2         Add 2 to both sides

4x = 3x + 3                          Subtract 3x from both sides

4x-3x = 3x - 3x + 3             Combine

x = 3

Check

Left hand side

2(2 + 3)

2(5)

10

Right hand side

3*(x+1) - 2

3*(4) - 2

12 - 2

10

The answers at least agree.

Step-by-step explanation:

Hey there!

Let the unknown slope be M2.

The given equation is;

15x + 12y = -144

From equation;

\(slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\(m = \frac{ - 15}{12} \)

\(m = \frac{ - 5}{4} \)

For the condition of perpendicular lines;

\(m \times m2 = - 1\)

\( \frac{ - 5}{4} \times m2 = - 1\)

\( - 5m2 = - 4\)

\(m2 = \frac{ - 4}{ - 5} \)

Therefore, the slope is 4/5.

Hope it helps....

Step-by-step explanation:

Interchange just means to switch really. The first 3 will stay the same be cause they are the same numbers.

The last one will be (2,8) because that's (8,2) but with the numbers switched

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer: \(73^{\circ}\)

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

Answer:

28.2 cm

Step-by-step explanation:

Circumference of circle = 2π r

Value of π = 3.14

Putting the required values,

Circumference = 2 × 3.14 × 4.5

= 6.28 × 4.5

= 28.2

Hence the circumference of the circle is 28.2 cm

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

We are given a function and are asked to determine if it's even, odd or neither. Our approach is to employ the negative test and modify the function to ascertain its status. This will be depicted below.

This is our original function, next, we find h(-x)

Looking at the function h(x) and h(-x), we have to put the polynomial in the correct degree. The input of the negative sign before the h(-x) function is to check if the function will maintain the same format with the original function, h(x). The disparity is what tells us if it is even, odd or neither of the two.

Now we know h(-x), we now use a certain set of conditions to test if function is even, odd or neither.

In this case, based on the above criteria, the function is neither even nor odd.

Answer:

m=3 is the slope

Step-by-step explanation: