Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza. How much was each pizza?

The cost of an adult ticket is Rs 1170 using equations.

A mathematical statement known as an equation shows the equality of two mathematical expressions.

Mathematical algebraic equations typically have one or more variables.

Let the cost of an adult ticket be x.

Given that each child costs Rs 520 less than an adult ticket.

Then, the cost of a child ticket = x - 520.

The total cost of bus tickets for 2 adults and 4 children = Rs 4940

So,

2x + 4(x-520) = 4940

⇒2x + 4x - 2080 = 4940

⇒6x = 7020

⇒x = 1170

Therefore, the cost of adult ticket is Rs 1170.

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1) The first step is to find the coordinates of the vertices of triangle PQR. We have

P = (- 4, - 1)

Q = (- 1, -1)

R = (- 4, - 3)

If we translate a figure with vertex whose coordinates are (x, y) by c units to the right and d units up, the new coordiantes would be (x + c, y + d)

Thus, by translating triangle PQR 3 units to the right and 5 units up, the new coordinates would be

P'(- 4 + 3, - 1 + 5) = (- 1, 4)

Q'(- 1 + 3, - 1 + 5) = (2, 4)

R'(- 4 + 3, - 3 + 5) = (- 1, 2)

We would plot P'(- 1, 4), Q'(2, 4) and R'(- 1, 2) on the graph as shown below

Answer:

H^2+9H+23

Step-by-step explanation:

f(3+h)=(3+H)^2+3*(3+H)+5

       =9+6H+H^2+9+3H+5

       =H^2+9H+23

Answer:

f(3+h)=(3+h)²+3(3+h)+5=9+6h+h²+9+3h+5=h²+9h+23

Answer: The diver descended 20 meters below sea level and then ascended 8 meters.

Step-by-step explanation: The expression 2 + (-20) + 8 describes the diver's movements in relation to sea level. The first number, 2, represents the diver's initial position at sea level. The second number, -20, represents the diver's descent below sea level by 20 meters. The third number, 8, represents the diver's ascent back up to sea level. This can be interpreted as the diver starting at sea level, descending 20 meters below sea level, and then ascending 8 meters back up to sea level.

To calculate the strategy gap, operations gap, and total gap, we need to compare the expected sales targets with the actual sales achieved

The gap analysis graph would display the expected sales targets for each objective and compare them to the actual performance. The y-axis represents the sales in millions of pounds, and the x-axis represents the planning period from 2016 to 2019. Each objective's expected sales target would be plotted as a line, and the actual sales achieved would be plotted as a separate line. The gaps between the two lines would indicate the variance between expectations and performance.

To calculate the strategy gap, operations gap, and total gap, we need to compare the expected sales targets with the actual sales achieved. The strategy gap represents the variance between the target sales and the actual sales for each objective. The operations gap reflects the overall variance between the total expected sales and the actual sales achieved. Finally, the total gap would be the sum of the strategy gap and operations gap.

To formulate the corporate objective statement for Lush in 2019, we consider the net profit and total assets. Since the net profit is 10% of sales, we can calculate the net profit as 0.1 multiplied by the actual sales achieved in 2019. Given that the assets are 1000m, the corporate objective statement could be formulated as follows: "Lush aims to achieve a net profit of [calculated net profit] and maintain its total assets at 1000m in 2019, while continuing to expand its product offerings and market share."

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The only set of values that could be the side lengths of a 30-60-90 triangle is A.

In a 30-60-90 triangle, the ratio of the side lengths is 1 : √3 : 2. Therefore, the side lengths must be in the ratio of 1:√3:2. Let's check each set of values:

A. (6,6√3, 12)

If we divide each side length by 6, we get (1, √3, 2), which is in the correct ratio. Therefore, set A could be the side lengths of a 30-60-90 triangle.

B. (6,6√2,12)

If we divide each side length by 6, we get (1, √2, 2), which is not in the correct ratio. Therefore, set B cannot be the side lengths of a 30-60-90 triangle.

C. (6, 12, 123)

If we divide each side length by 6, we get (1, 2, 123/6), which is not in the correct ratio. Therefore, set C cannot be the side lengths of a 30-60-90 triangle.

D. (6, 12, 12√2)

If we divide each side length by 6, we get (1, 2, √2), which is not in the correct ratio. Therefore, set D cannot be the side lengths of a 30-60-90 triangle.

Therefore, the only set of values that could be the side lengths of a 30-60-90 triangle is A.

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Answer:

Peter Hanarty

Step-by-step explanation:

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

\(\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }\)

\(\sqrt{(12)^{2} + (-5)^{2} }\)

\(\sqrt{144 + 25 }\)

\(\sqrt{169}\)

\(13\)

Answer:

\(\boxed {d = 13}\)

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

\(d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

(where \((x_{1}, y_{1})\) represents the first point and \((x_{2}, y_{2})\) represents the second point)

-Apply the two following onto the formula:

\((x_{1}, y_{1}) = (8, -7)\)

\((x_{2}, y_{2}) = (-4, -2)\)

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

-Solve for the distance:

\(d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}\)

\(d = \sqrt{(-12)^{2} + 5^{2}}\)

\(d = \sqrt{144 + 25}\)

\(d = \sqrt{169}\)

\(\boxed {d = 13}\)

Therefore, the distance is \(13\).

The road with alternating white and black stripes and each 50 cm wide is 7.5 m wide.

The road consists of alternating white and black stripes

No. of white stripes = 8

As the first and last stripe is white so in between the black stripes will be 7

No. of black stripes = 7

Total no. of stripes = 15

Width of black stripe = 50 cm

Width of white stripe = 50 cm

Width of whole road = total no. of stripes × width of each stripe

Width of whole road = 15 × 50

Width of whole road = 750 cm

To convert m into cm

Now, 1 m = 100 cm

1 cm = 1/100 m

750 cm = 750/100 m

750 cm = 7.5 m

Hence the width of the road is 7.5 m

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Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

3326 ÷ 3 = 1108.666667

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer:

20705.875

Step-by-step explanation:

Area of a pentagon is 1/2 * P * A  p being the perimeter of the pentagon and a being the apothem.  1/2 * 548.5 * 75.5 equals 20705.875.  I'm almost positive this is correct.  So sorry if it's not.  Have a good day/night!

Answer:$26.6

Step-by-step explanation:

Answer:

= 26.6

Step-by-step explanation:

38 * 20/100 = 38 *1/5 = 7.6

38 - 7.6 = 30.4

38 * 10/100 = 38 *1/10 = 3.8

30.4 - 3.8 = 26.6

The statement 'if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday' is True.

The Birthday Paradox states that with 23 people in a room, there is a 50% chance that two of them have the same birthday . This may seem counterintuitive, but the math behind it works as follows:
Calculate the probability that everyone has a different birthday.
Subtract that probability from 1 to get the probability that at least two people share a birthday.
There are 365 possible birthdays for the first person.
For the second person to have a different birthday, there are 364 remaining options.

For the third person, 363 remaining options, and so on.
The probability of everyone having different birthdays is calculated as:
(365/365) × (364/365) × (363/365) × ... × (343/365)
1 - (calculated probability) = probability that at least two people share a birthday
Using this calculation, the probability is approximately 50% that two people have the same birthday with 23 people in the room.

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Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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Complete question

What angle measure is this? 35° 91° 65° 28°

acute, right, obtuse, straight, or reflex

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

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If two states are selected at random from a group of 30 states, the number of possible outcomes if the group of states is selected with replacement or without replacement can be calculated as follows: With Replacement: If the states are selected with replacement, then the total number of possible outcomes is equal to the product of the number of states in the group and the number of states that can be selected again.

The total number of states in the group is 30, and since there are no restrictions on selecting a state again, the number of possible outcomes is given by:30 x 30 = 900. Total possible outcomes with replacement = 900Without Replacement:  If the states are selected without replacement, the total number of possible outcomes is given by the product of the number of states in the group and the number of states that can be selected next. The first state can be selected from the group of 30 states, and once it has been selected, the second state can be selected from the remaining 29 states. Therefore, the total number of possible outcomes is given by:30 x 29 = 870Total possible outcomes without replacement = 870Therefore, if two states are selected at random from a group of 30 states, the number of possible outcomes if the group of states is selected with replacement or without replacement are 900 and 870, respectively.

If the states are selected with replacement, there are 900 possible outcomes, and if the states are selected without replacement, there are 435 possible outcomes.

If the states are selected with replacement, there are 900 possible outcomes. This is because for each selection, there are 30 options, and since there are two selections, the total number of outcomes is 30 * 30 = 900.

If the states are selected without replacement, there are 435 possible outcomes. In this case, for the first selection, there are 30 options, but for the second selection, there are only 29 remaining options. Therefore, the total number of outcomes is 30 * 29 = 870.

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Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Answer:

x = -3

Step-by-step explanation:

Isolating  the variable x is the first thing you always want to do in algebric expressions

Answer:

6 Dollars

Step-by-step explanation:

Set up:

15x = $90

To get the unite rate divide 90 by 15

x = $6

Each ticket cost 6 dollars

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

c=11

Step-by-step explanation:

We have two points ( 6,5) and (7,c) and a slope of 6

The slope formula is

m = ( y2-y1)/(x2-x1)

6 = (c-5)/(7-6)

6 = (c-5)/1

6 = c-5

Add 5 to each side

6+5 = c-5+5

11 =c

Answer:

$14.70

Step-by-step explanation:

Find the 30% decrease:

21*0.3 = 6.3

Find new price:

21-6.3 = 14.7

Answer:

$14.7

Step-by-step explanation:

First, we need to convert the percentage to a decimal. 30% = .30

Now we multiply the price times the decimal, 21 x .30 = 6.3

We subtract this amount from the previous cost. 21 - 6.3= $14.7

Answer: It will take her more than 9 weeks.

Step-by-step explanation:

If she already has $150 that will be constant and if she can save $45 per week  the we will have the expression 45w  where w is the number of weeks.

Together it will  be  150 + 45w    

Now the money has to be at least $560  so it will be

150 + 45w ≥ 560  Now solve for w

-150              -150

45w ≥ 410

w ≥ 9.1  

Which means it will take 10 or more weeks t

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−

5

5

=3

4x+−1=3

4x−1=3

Step 2: Add 1 to both sides.

4x−1+1=3+1

4x=4

Step 3: Divide both sides by 4.

4x

4

=

4

4

x=1