A theater charges $5 for student tickets and $7 for adult tickets. They sold 75 tickets for a total of $425. Which set of equations can be used to determine x, the number of student tickets sold, and y, the number of adult tickets sold.

Answer:

160

Step-by-step explanation:

If thats not the answer then its 320

Answer:

y = -3/7x + 3

Step-by-step explanation:

Use the slope formula to find the slope which is -3/7

Then use one of the pairs of points and plug in the x and y values along with the slope to find b

Answer:

(x + 4)² - 45

Step-by-step explanation:

Given

x² + 8x - 29

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 8x

f(x) = x² + 2(4)x + 16 - 16 - 29

     = (x + 4)² - 45

The resulting function by completing the square is f(x) = (x+ 4)²  - 45

Given the function

f(x) = x² + 8x - 29

The function can also be grouped like this:

f(x) = (x² + 8x) - 29

Completing the square of the function in parenthesis

f(x) = (x² + 8x) - 29

To do that, we will add the square of the half of the coefficient of x:

Coefficient of x = 8

half of Coefficient of x = 8/2 = 4

Squaring the result = 4² = 16

The function will then become:

f(x) = (x² + 8x + 16 - 16) - 29

f(x) = (x² + 8x + 16) - 16 - 29

f(x) = (x² + 8x + 16) - 45

Factorizing the function in bracket:

f(x) = (x+ 4)²  - 45

Hence the resulting function by completing the square is f(x) = (x+ 4)²  - 45

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Answer:

4 guests

Step-by-step explanation:

If it's $8 every person, 4 x $8 is $32, so he can have 4 guests.

Answer:

4 guests

Step-by-step explanation:

If each guest costs $8, but you can only spend $32, then you need to figure out the number that is multiplied by 8 to get 32. And that number is 4.

4 guests times $8 each=$32

Answer:

x = 5.6 i guess

Step-by-step explanation:

use cos 45 = x/8

maybe

Answer:

Her riding speed is "11.84 mph".

Step-by-step explanation:

In order to solve this problem we will say that Audrey's riding speed is equal to "x" mph. Since her hiking speed is 9 mph less than her riding speed, then it is "x -9" mph. The average speed formula is given by:

speed = distance/time

Thefore the time to travel a certain distance with a certain speed is:

time = distance/speed

Her time to hike 6 miles is the same as her time to ride 25 miles, therefore:

ride time = hike time

25/x = 6/(x - 9)

25(x-9) = 6x

25x -225 = 6x

19x = 225

x = 225/19 = 11.84 mph

Her riding speed is "11.84 mph".

Answer:

Because surface area has nothing to do with how tall it is

Step-by-step explanation:

Surface area involves the base shape of the object, if both cylinders have a base of the same size and shape, then the surface area of the face of that object will remain the same. how tall the cylinder is would affect volume however.

Please mark brainliest :)

Answer:

Sample response: The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.Step-by-step explanation:

Answer:

D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.

Step-by-step explanation:

The result of a product is odd only when the two numbers are odds.

There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.

P(even) = 27/36 = 0.75

Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1

Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5

Answer:

h(3) =  207 feet

Step-by-step explanation:

what is the maximum height for -16t^2+96t+63

h(t) = -16t^2+96t+63

We see  max height at the vertex of this parabolic function

x = -96/2*(-16)  = 3 seconds

h(3) = -16*3*3  + 96*3  + 63

h(3) =  -144  + 288 + 63

h(3) =  207 feet

Answer:

the coordinates would be (12,2) Hope it helps :)

Step-by-step explanation:

its just that

Answer:

98

Step-by-step explanation:

On average she delivers about 14 meals per hour

If you divide 56 by 4 you get 14 ^

Then if you multiply 14 by 7 you get 98

Answer:

c

Step-by-step explanation:

The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.

For the given situation,

The base of the hexagon, a = 12 in

The formula of the area of hexagon base is

[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]

On substituting the above values,

⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]

⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]

⇒ [tex]A=374.12[/tex]

Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

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Answer: 40%

Step-by-step explanation:

Total students= 240

Dissatisfied students= 96

To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:

= 96/240 × 100

= 0.4 × 100

= 40%

The percentage represented is 40%

The area of a circle with a radius of 20 inches is 400π square inches, which is approximately 1256.64 square inches.

The formula for finding the area of a circle is A = πr², where A is the area and r is the radius of the circle.

Given that the radius of the circle is 20 inches, we can substitute this value into the formula to find the area.

So, the area of the circle with a radius of 20 inches is A = π(20 inches)² = 400π square inches, which is approximately 1256.64 square inches.

Answer: 5 is written on the red card.

Step-by-step explanation:

Given that the product of all the digits on the blue cards is 72576.

That is:

4! × 9 × 8 × 7 × 6

= 24 × 3024

= 72576

And the nine different positive digits will be 1 2 3 4 5 6 7 8 9

4! = 4 × 3 × 2 × 1

So, 5 is missing from the product of above number that gave 72576.

Therefore, 5 is the digit is written on the red card

Answer:

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Step 1:  Find the equivalent expression

[tex]\sqrt[3]{x^5y}[/tex]

[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]

[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]

[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]

Answer:  Option B

Answer:

1/10, or 10%

Step-by-step explanation:

There are 2 outcomes you can get from one toss, heads and tails. Therefore, if you tossed it once, the probability of landing tails would be 1/2, or 50%. Since you toss it 5 times, you will multiply the probability of one toss by five. 1/2x5 = 1/10, so your probability of landing tails on every toss when thrown 5 times is 1/10, or 10% :)

Answer:

y = 5

Step-by-step explanation:

Let y = mx + b (1)  is the equation of a line we need to find

As we know, it is parallel to y= -7 (with the slope is 0)

However, the slopes of parallel lines are equal

=> the slope of (1) is 0

<=> y = b

And  that passes through the point (7,5), we have:

5 = b

=> the equation of a line as the answer of this problem is:

y = 5

Hope it will find you well.

The answer is letter B.

Answer:

The answer is D

Step-by-step explanation:

gradpoint

To translate y = x + 7 one unit to the left, the expression becomes y = x + 8. To move y = 3x - 5 one unit to the right, it becomes y = 3x - 8. The translation shifts the graph parallel to the x-axis while maintaining its shape.

To translate the graph of the function y = x + 7 one unit to the left, we substitute x with (x + 1) because adding to the independent variable moves the graph to the left.

Therefore, the translated expression would be y = (x + 1) + 7 which simplifies to y = x + 8.

Similarly, to translate the graph of the function y = 3x - 5 one unit to the right, we substitute x with (x - 1) because subtracting from the independent variable moves the graph to the right.

The translated expression is y = 3(x - 1) - 5, which simplifies to y = 3x - 3 - 5 or y = 3x - 8.

The process of translating graphs involves shifting each point parallel to the x-axis, either to the left or right, by the desired number of units without altering the shape of the graph.

The best estimate of the lateral area of a cube with 2.1-inch edges is 17.64 square inches, calculated by squaring the edge length to find the area of one side (4.41 square inches) and then multiplying by four since there are four lateral faces.

The question asks for the best estimate of the lateral area of a cube with edges that are 2.1 inches long.

To calculate the lateral area of a cube, we need the formula for the lateral area, which is the sum of the areas of all the sides excluding the top and bottom faces. Since a cube has six faces, we have four lateral faces to consider.

The area of one face of a cube is obtained by squaring the length of one edge. In this case:

Area of one side = edge length × edge length = 2.1 inches × 2.1 inches = 4.41 square inches

Since there are four sides whose areas we need to count for the lateral area, we multiply the area of one side by four:

Lateral area = 4 × Area of one side = 4 × 4.41 square inches = 17.64 square inches

Therefore, the best estimate of the lateral area of the cube is 17.64 square inches.

Final answer:

The best estimate of the lateral area of a cube with 2.1-inch edges is approximately 17.64 square inches, calculated by squaring the edge length and multiplying by four since a cube has four lateral faces.

Explanation:

The goal is to estimate the lateral area of a cube with edges that are 2.1 inches long. The lateral area of a cube is the sum of the areas of all the sides of the cube, excluding the top and bottom faces. Since the cube has six faces and we only need the sides, we calculate for four faces.

Each face of a cube is a square, so to find the area of one face, we square the length of the edge:

Area of one side = Edge length × Edge length

Area of one side = 2.1 inches × 2.1 inches

Area of one side = 4.41 square inches

Since there are four sides whose area we are considering for the lateral area:

Lateral area = 4 × Area of one side

Lateral area = 4 × 4.41 square inches

Lateral area = 17.64 square inches

So, the best estimate of the lateral area of the cube is approximately 17.64 square inches.

Answer:

14 shirts

Step-by-step explanation:

11-4= 7

7 times 2 = 14

Answer:

14 shirts

Step-by-step explanation:

Four less of eleven is 7. 7 is one half of the number of shirts Maria brought, then you do 7+7=14. Hope this helps!

C) 2 seconds

Pennfoster/ James Madison

The ball will take 6 seconds to hit the ground.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

f(t) = -1/2t² + 2t + 6

Now, if ball hit the ground then f(t)=0

0 = -1/2t² + 2t + 6

-t² + 4t + 12=0

t² - 4t -12 = 0

t² - 6t + 2t -12 = 0

t(t- 6) + 2( t- 6)= 0

(t- 6) (t+ 2)=0

t= 6, -2.

Hence, the ball will take 6 seconds.

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Answer:

C

Step-by-step explanation:

The formula for the volume of a rectangular prism is lwh. In this case, 3*5*6=90 cubic units, or option C. Hope this helps!

Answer:

About 2.4 Hours

Step-by-step explanation:

1/4+1/6=1/h

12h(1/4+1/6)=12h(1/h)

3h+2h=12

5h=12

12/5=2.4

When working together, Jessica and Sydney can construct a bookshelf in 2.4 hours. This is based on their individual rates of work.

This problem involves the concept of rates of work. We need to find out how long it will take for Jessica and Sydney to build a bookshelf together. Jessica builds one bookshelf in 4 hours, so her work rate is 1/4 bookshelves per hour. Sydney builds one bookshelf in 6 hours, hence her work rate is 1/6 bookshelves per hour.

When Jessica and Sydney work together, their work rates add together. So the combined work rate is 1/4 + 1/6 = 5/12 bookshelves per hour. Since they are building just one bookshelf, we can find the time it takes by dividing the number of bookshelves (1) by the work rate (5/12). Therefore, when working together, Jessica and Sydney can build a bookshelf in 12/5 or 2.4 hours.

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Answer:

$26.66

Step-by-step explanation:

12.95+13.71 =26.66

Plzz. Brainliest

Answer:

Vertices (or angles) are labeled with Capital letters

Step-by-step explanation:

Angles are labeled with Capital letters.

The sides themselves can be labeled with lowercase letters, but the vertices of the  triangles must be labeled with Capital letters

Answer:

-50-4, -27×2, 54×-1

Step-by-step explanation: