If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.

After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.

From the table we notice that the student got 56 points of 70 possible from homework.

He got 75 points out of 83 from quizzes and he got 163 out of 200 from exams.

This means that we have the ratios 56/70, 75/83 and 163/200 for homework, quizzes and exams, respectively.

Now we multiply each ratio by the percent it represents of the final note to get it:

Therefore the weighted grade is 83.42 points

Answer:

15 dollars each pizza

Step-by-step explanation:

2 pizzas (15 + 15 = 30)

30 + 6 = 36

Answer:

15

Step-by-step explanation:

15+15=30+6 =36

Answer:  Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.

For vertex (15,15):

3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15

3x + 2y = 90 --> 3(15) + 2y = 90 -->

Step-by-step explanation: A. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we can use a system of inequalities to represent the constraints:

Let "x" be the number of bags of trail mix that Oki makes and "y" be the number of bags that Stephen makes. Then we have:

3x + 4y ≤ 120 (constraint on the number of cups of nuts)

3x + 2y ≤ 90 (constraint on the number of cups of dried fruit)

x ≥ 0 (non-negative constraint for Oki's bags)

y ≥ 0 (non-negative constraint for Stephen's bags)

B. To graph the feasible region, we can start by graphing the two constraint equations as lines:

3x + 4y = 120 (line A)

3x + 2y = 90 (line B)

We can find the x and y intercepts for each line:

For line A:

When x = 0, 4y = 120, y = 30 (y-intercept)

When y = 0, 3x = 120, x = 40 (x-intercept)

For line B:

When x = 0, 2y = 90, y = 45 (y-intercept)

When y = 0, 3x = 90, x = 30 (x-intercept)

Next, we can shade the region that satisfies all of the constraints. This region is below line A and to the left of line B, and is bounded by the x and y axes.

We can find the vertices of the feasible region by finding the intersection points of the two lines and the axes. These vertices are (0,0), (0,30), (15,15), and (30,0).

C. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we need to evaluate the objective function at each vertex of the feasible region, and choose the vertex that maximizes the objective function.

The objective function is the total number of bags of trail mix:

z = x + y

Evaluating at the vertices:

Vertex (0,0): z = 0 + 0 = 0

Vertex (0,30): z = 0 + 30 = 30

Vertex (15,15): z = 15 + 15 = 30

Vertex (30,0): z = 30 + 0 = 30

The maximum value of the objective function occurs at vertices (0,30) and (15,15), where z = 30 bags of trail mix.

To determine how many of each type of recipe to make, we can substitute each vertex into the two constraint equations to find the corresponding values of x and y.

For vertex (0,30):

3x + 4y = 120 --> 3x + 4(30) = 120 --> 3x = -90 --> x = -30

3x + 2y = 90 --> 3(-30) + 2(30) = 90 --> y = 15

Therefore, Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.

For vertex (15,15):

3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15

3x + 2y = 90 --> 3(15) + 2y = 90 -->

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Step-by-step explanation:

Correction:

1⟩

Given equation is x²-3x = 4

⇛ x²-3x -4 = 0

⇛ x²+x-4x-4 = 0

⇛ x(x+1)-4(x+1) = 0

⇛ (x+1)(x-4) = 0

⇛ x+1 = 0 or x-4 = 0

⇛ x = -1 or x = 4

2.⟩

Given equation is x²+4x+4 = 0

⇛ x²+2x+2x+4 = 0

⇛ x(x+2)+2(x+2) = 0

⇛ (x+2)(x+2) = 0

⇛ x+2 = 0

⇛ x = -2

AB is a perpendicular bisector of XY, that means AB cuts line XY at a 90 degree angle. Therefore option 1 is correct.

AB is being bisected IS NOT CORRECT. This is because line AB stops at exactly

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer:

Subtract to eliminate y

Step-by-step explanation:

it is the easiest to eliminate first since 7y and -7y are opposites.

I'm guessing this is one of those problems where u find both y and x .... but yeah its the 3 option

Answer:

Option 'C i.e. Subtract to eliminate y' is the correct option.

Step-by-step explanation:

Given the system of equations

-6x + 7y = -54

-7x + 7y = -56

The first step we need to do is to subtract to eliminate y, because 7y and -7y will cancel each other.

\(-6x + 7y = -54\)

\(-\)

\(\underline{-7x+7y=-56}\)

x + 0y = 2

x = 2

Therefore, we get x = 2 after we implemented the fist step to subtract to eliminate y.

Hence, option 'C i.e. Subtract to eliminate y' is the correct option.

Answer:

2 thecvdtcghbiijyybinknimmoikjiiknhhn

Answer: Confounding Variable

Step-by-step explanation:

Answer: Confounding variables

Step-by-step explanation:

Took exam and got it correct

Step-by-step explanation:

yan po ang sagot ko dahil yan po ang pagkakaintindi ko

Answer:

A

Step-by-step explanation:

I took the quick check : D

Answer:

A

Step-by-step explanation:

I already did the quick check too

Answer:

Step-by-step explanation:

Where are the answer choices?

The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

\(54\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

l = 15 cm

r (radius) = 3 cm

Find: A (surface area) - ?

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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\(\tt{}( - 9p + 7) - (9p + 3)\)

\(\tt{} - 9p - 7 + 9p + 3\)

\(\tt{}7 - 3\)

\(\tt{}4\)

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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The probability of observing heads (h) when tossing both coins simultaneously is 0.55.

We can use the Law of Total Probability to calculate the probability of observing heads (h) when we toss both coins simultaneously. The Law of Total Probability states that the probability of an event (h) is equal to the sum of the probabilities of the mutually exclusive events (fair coin and biased coin) multiplied by their respective probabilities of observing heads (h). Therefore, the probability of observing heads (h) when tossing both coins simultaneously is given by:

P(h) = P(h|f) * P(f) + P(h|b) * P(b)

= 0.5 * 0.5 + 0.6 * 0.5

= 0.55

Therefore, the probability of observing heads (h) when tossing both coins simultaneously is 0.55.

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The slope of a line parallel to the line whose equation is x + y = 5 is -1.

The slope serves as a measure of the lines' steepness and direction. Its definition is that it is the ratio of the rise, which is the vertical change between two points, to the run, which is the horizontal change between the same two points.

Slope (m)=rise/run=(y₂-y₁)/(x₂-x₁) where (x₁,y₁) and (x₂,y₂) are the coordinates of the two points that lie in the line.

Then, the equation with the slope is of the form, y=mx+c where m is the slope and c is the y-intercept.

The given equation can be written in the above form, y=5+(-1)x. From this, the value of m is found to be -1. Since the slopes of all parallel lines are equal, any line that runs parallel to this one will also have the same slope. Therefore, the answer is -1.

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Answer:

the ratio will be 132 to 89

The ratio is 132 : 89.

A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

Given:

Boys= 132

girls= 89

adults= 14

So,

the ratio of number of boys to number of girls is

= 132/89

=132 : 89

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Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1