1) 2 more than 5 times x

2) 9 Multiply n by 6, and then divide the product by 5.

To compare the costs of holding a party at Pizza Pal and Roma's Pizza, we need to calculate the total cost of renting the room and purchasing the pizzas at each location.

At Pal, the total cost would be $16 (room rental fee) + $8 per pizza. So if we wanted to order 10 pizzas, the total cost would be:

Total Cost at Pizza Pal = $16 + ($8 x 10) = $96

At Roma's Pizza, the total cost would be $24 (room rental fee) + $6 per pizza. So if we wanted to order 10 pizzas, the total cost would be:

Total Cost at Roma's Pizza = $24 + ($6 x 10) = $84

Based on this calculation, it would be cheaper to hold a party at Roma's Pizza. However, it's important to keep in mind that there may be other factors to consider, such as the quality of the pizza, the atmosphere of the restaurant, and the location. So while cost is an important factor, it's not the only one to consider when deciding where to hold a party.

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Proof of the similarity of triangle AMN and Triangle ABC is shown below.

We have to given that;

In a figure,

⇒ MN is parallel to BC.

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

And, Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, By definition of alternate angle of parallel lines, we get;

⇒ ∠ AMN and ∠ ABC are equal.

⇒ ∠ ANM and ∠ ACB are equal.

And, In triangles AMN and ABC;

⇒ ∠ A is common angle.

Hence, By AAA postulates we can say that;

⇒ Δ AMN ≈ Δ ABC

Thus, triangle AMN and Triangle ABC are similar by AAA postulates.

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Answer:

perimeter = 18.81 units

area = 15 unit²

Answer:

the anser is 40/8 that is 5

Answer:

4 cm

Step-by-step explanation:

Because the have the same scale if you multiply all sides by one number they should be equal. 20/5=4

Answer:

Short answer 4cm

Step-by-step explanation:

Long answer I did the quiz and got It correct so yeah.

The width and height of the model are;

Width of model = 13.5 inches

Height of model = 2.25 inches

A scale model is defined as a physical model that is geometrically similar to an object. Scale models are usually smaller than large prototypes such as vehicles, buildings, or people. However, these scale models may be larger than small prototypes such as anatomical structures or subatomic particles.

Now, we are given that the dimensions of the new medical complex are;

Length = 400 ft

Width = 180 ft

Height = 40 ft

Thus, for a scale model with length of 30 in(2.5 ft) long, the scale factor is; Scale factor = 2.5/400

Thus;

Width of model = 180 * (2.5/400)

= 1.125 ft = 13.5 inches

Height = 30 * (2.5/400)

= 0.1875 ft = 2.25 inches

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A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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Answer: 1,004.8 cubic meters (choice D)

Work Shown:

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*8^2*15

V = 1,004.8

Answer:

y-2/3x-4

the answer is (0,3)

3x+4y-12

the answer is (0,3)

Answer:

a) 5

b) 30

c) 40

Step-by-step explanation:

(no entiendo mucho espanol pero voy a ayudar...)

a) hay 10 que haces los dos, 30 que solo estudien, y 40 que solo trabajan. Con eso, 80-10-30-40 = 5, y asi tienes 5 personas que no estudian y no trabajan

b) las personas que estudian son 40, y 10 trabajan tambien, asi solo tienes 30 personas que unicamente se dedican a estudiar.

c) las personas que trabajan son 50, y 10 estudian tambien, asi solo tienes 40 personas que unicamente se dedican a estudiar.

Step byCombine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

The angle coterminal with -252° between 0° and 360° is 108°.

To find the angle between 0° and 360° that is coterminal with the -252° angle, we can add or subtract multiples of 360° until we get an angle within the desired range.

Since the given angle is negative, we can add 360° to it repeatedly until we get a positive angle:

-252° + 360° = 108°

Therefore, the angle between 0° and 360° that is coterminal with the -252° angle is 108°.

Coterminal angles are angles that have the same initial and terminal sides but may differ in the number of complete revolutions made. In this case, by adding 360° to the given angle, we obtain an angle that falls within the desired range.

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Answer:

If it wants you simplify the answer 6x + 21

Step-by-step explanation:

4x times 2x = 8x. Then 4x times 3 = 12x

Then 8x + 12x = 20x

-7 times 2x = -14x. Then -7 times -3 = 21

20x - 14x = 6x + 21

I hope that helped! :)

Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

The formula is:

\(C(p,q) = \frac{p!}{q!(p-q)!}\)

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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Answer:

a. 53.68

b. 53.53

Step-by-step explanation:

a. Step 1: Approximate the value for \(\sqrt{62}\):

Since \(\sqrt{62}\) is close to \(\sqrt{64}\) (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.

The expression becomes 6(7.9)+2π

Step 2: Approximate the value for 2π

Since π is approximately 3.14, 2π is approximately 6.28.

The expression becomes 6(7.9)+6.28

Step 3: Use order of operations

6(7.9)+6.28=47.4+6.28=53.68

b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value

\(6\sqrt{62} +2\pi =53.5272\)

The approximation 53.68 is decently close to the actual value, so no minor math errors were made.

Answer:

54     and 53.53  see below

Step-by-step explanation:

Estimate the square root first.  7x7 = 49  and 8x8=64 so you can use 8 for your estimate.  You can also estimate Pi as 3.

Now you have:

(6 x 8) + 2(3)   which is 48 + 6 = 54

Using your calculator you get

47.244 + 6.283 = 53.53  rounded to the nearest hundredth

The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer:

It would be Choice B

Step-by-step explanation:

This is because the X value is negated, while the Y value remains the same brought into the equation. Here's the equation for vertex form:

f(x) = a(x – X Value)^2 + Y Value

The 3rd term of the sequence is 48

From the question, we have the following parameters that can be used in our computation:

an = 6x3 n-1

Rewrite properly

So, we have

a(n) = 6 * (3n - 1)

For the third term, we have n = 3

Substitute the known values in the above equation, so, we have the following representation

a(3) = 6 * (3 * 3 - 1)

Evaluate

a(3) = 48

Hence, the third term is 48

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The length of the other base of Rose's garden is 8 meters.

A trapezoid is a quadrilateral that has two parallel sides that are unequal in length to each other. To get the area of a trapezoid whose bases are a and b, it is the sum of the bases divided by two and multiplied by the height or

A= {(a+b) /2 } × h

it is given that height is 16m,

one the base is 20m,

the area is 224m²

substituting the values in the above equation,

224 = {(20 + b) / 2} × 16

14 = (20 + b) / 2

28 - 20 = b

b = 8 m

therefore the length of the other base is 8 meters.

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Answer:

D. Normality of the estimator (e.g., sample mean)

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The question was incomplete. Check below the complete question.

Which of the following is the necessary condition for creating confidence intervals for the population mean? A. Known population parameter B. Normality of the population C. Known standard deviation of the estimator D. Normality of the estimator (e.g., sample mean)

Answer:

1. x + y = 180

2. x = 50 y= 130

Step-by-step explanation:

They're parallel.

We can label the unamed angle z.

So z = y

and 50 = x

There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.

x=50

so 50 + 50 = 100.

360 - 100 = 260

so 260 ÷ 2 = 130

y = 130 because y and z are equal so they're the same number

Step-by-step explanation:

1. x+y=180

hope that helps

We want to simplify the following expression

First, we can apply the distributive rule to rewrite this product

Then, using the following property

we can rewrite our expression as

We can remove the squared terms out of the root

and this is our answer.

When we want to test the hypothesis that the mean score on campus 1 is higher than on campus 2, the null hypothesis will be that the mean score on campus 1 is not higher than on campus 2.

Given that we want to test the hypothesis that the mean score on campus 1 is higher than on campus 2.

We are required to find the null hypothesis when we test the hypothesis that the mean score on campus 1 is higher than on campus 2.

Hypothesis is the statement which is tested for its validity. When we want to form null hypothesis then we want to think opposite to the hypothesis that is being tested.

We have to test the hypothesis that the mean score on campus 1 is higher than on campus 2 so we have to make null hypothesis be the mean score on campus 1 is not higher than on campus 2.

Hence when we want to test the hypothesis that the mean score on campus 1 is higher than on campus 2, the null hypothesis will be that the mean score on campus 1 is not higher than on campus 2.

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Answer:

0.71, 78%, 0.8, \(\frac{7}{8}\)

Step-by-step explanation:

78% = 0.78

7/8 = 0.875

Removing the point (64, 40,786) from the dataset and conducting a new regression analysis may impact the slope of the least-squares line and the correlation coefficient, depending on whether the point is an outlier or follows the overall trend of the data.

If the point representing 64 wins and attendance of 40,786 people per game is removed from the set of data and a new regression analysis is conducted, the following would be impacted:

(i) The slope of the least-squares line would be impacted. This is because the slope of the line is calculated based on the data points and removing a point from the dataset would change the overall trend of the data. The slope would be recalculated based on the remaining data points, and it would be different from the original slope.

(ii) The correlation coefficient would also be impacted. The correlation coefficient measures the strength and direction of the linear relationship between two variables. Removing a point from the dataset would change the overall pattern of the data, which would in turn affect the correlation coefficient. The new coefficient would reflect the revised relationship between the remaining data points.

Let's consider how the removal of the point representing 64 wins and an attendance of 40,786 people per game would impact the regression analysis.

(i) The slope of the least-squares line:

When you remove a point from a dataset, it may cause the least-squares line to change. If the point is an outlier or significantly different from the other points in the dataset, it may have a substantial impact on the slope. If the point is close to the overall trend of the data, its removal might not affect the slope as much. In this case, if the point (64, 40,786) is an outlier, removing it could cause the slope of the least-squares line to change. If it is not an outlier, the change in slope may be minimal.

(ii) The correlation coefficient:

The correlation coefficient measures the strength and direction of the relationship between two variables. If the removed point is an outlier, its removal can impact the correlation coefficient. If the point is closely following the overall trend of the data, removing it might not have a significant effect on the correlation coefficient. In this case, if the point (64, 40,786) is an outlier, removing it could cause the correlation coefficient to increase or decrease in magnitude, depending on how it deviates from the trend. If it is not an outlier, the change in the correlation coefficient may be minimal.

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Answer:A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The wheel will make 8 Rotations.

The Bike will travel 75 feet

Step-by-step explanation:

Wheel: 40 feet / 5 feet per rotation = 8 rotations

Bike: 5 feet per rotation * 15 rotations = 75 feet traveled

Answer:Yes

The constant is $1.75 each

Step-by-step explanation: