Drag each number to the correct location on the equations. Each number can be used more than once, but not all numbers will be used. Roy and Elisa are buying tickets for the annual school concert. Roy buys 6 adult tickets and 2 child tickets for a total of $66. Elisa buys 5 adult tickets and 4 child tickets for a total of $62. Determine the system of equations that can be used to find the cost of one adult ticket, a, and the cost of one child ticket, c.
62 5 128 6 4 66 2 8
Roy:__a + __c =__
Elisa:__a+__c =__

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer: g(x + 4) = (x + 4)² + 9(x + 4)

= x² + 8x + 16 + 9x + 36

= x² + 17x + 52

So, an expression for g(x + 4) in the form a2 + ax + b, where a and b are numbers, is 1x^2 + 17x + 52

Step-by-step explanation:

Hi there! Hopefully this helps!

-----------------------------------------------------------------------------------------------------

|

|3 × 6 - 2 + 2.

|

|Multiply 3 and 6 to get 18

\/

18 - 2 + 2 = 18

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtract 2 from 18 to get 16.

16 + 2 = 18.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

44%

Step-by-step explanation:

60%-16% the answer is up ahead.

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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Answer:

The answer is 20

Step-by-step explanation:

I just did it and got it correct

Answer:

the answer is right, here is the explanation if anyone needs it.

Step-by-step explanation:

Answer:

112,5 MB

Step-by-step explanation:

First, we have to convert the given minutes into seconds:

15 × 60 = 900 (s)

Now, let's make a proportion:

2 MB - 16 s

x MB - 900 s

Use the property of the proportion to find x:

x = 900 × 2 / 16 = 112,5 (MB)

Answer:

Kylie drove at a speed of 60 miles per hour going to the soccer game.

Step-by-step explanation:

Let us assume that Kylie drove at speed x miles per hour going to the soccer game. On the way back, she had to drive at a speed of (x-10) miles per hour. We are given that the trip took 1 hour longer on the way back, which means that the time taken on the way back was greater than the time taken going to the soccer game. We can form an equation using the distance formula:

300/x = 300/(x-10) + 1

Simplifying this equation by cross multiplication, we get:

300(x-10) = 300x + x(x-10)

Simplifying further, we get:

300x - 3000 = 300x - 10x

Solving for x, we get:

x = 60

Therefore, Kylie drove at a speed of 60 miles per hour going to the soccer game.

Answer:

We can use proportion to estimate the number of households that have a dog in the town of Nowaday.

From the data given in the random sample, we know that 24 out of 60 households had a dog. This can be written as:

24/60 = x/3000

where x is the number of households in the town that have a dog.

To solve for x, we can cross-multiply and simplify:

24 x 3000 = 60 x x

x = (24 x 3000) / 60

x = 1,200

Therefore, we can estimate that approximately 1,200 households in the town of Nowaday have a dog.

Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

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Answer:

6 minutes

Step-by-step explanation:

6.77-1.25=5.52

5.52/.92= 6

Answer: 6 minutes

Step-by-step explanation:

6.77-1.25

=5.52/0.92

=6

Ellis will need 78π square feet of paint to paint all the surfaces of the 12 fencepost

The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr^2

Given that the height (h) of each fencepost is 6 feet and the diameter (d) is 1 foot, we can calculate the radius (r) by dividing the diameter by 2:
r = d/2 = 1/2 = 0.5 feet

Now, we can substitute the values into the formula and calculate the surface area of each fencepost:
Surface Area = 2π(0.5)(6) + 2π(0.5)^2
Surface Area = 6π + π/2
Surface Area = (12π + π)/2
Surface Area = 13π/2

Since there are 12 fenceposts in total, we can multiply the surface area of each fencepost by 12:
Total Surface Area = (13π/2) * 12
Total Surface Area = 78π square feet

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Answer:  X = -1/2

Step-by-step explanation:

(i) Y = 2X + 1

(ii) X = 7 - 2Y

We can substitute the value of X from equation (ii) into equation (i) and solve for Y.

Substituting X = 7 - 2Y into equation (i), we have:

Y = 2(7 - 2Y) + 1

Simplifying:

Y = 14 - 4Y + 1

Y = -3Y + 15

Adding 3Y to both sides:

4Y = 15

Dividing both sides by 4:

Y = 15/4

Now, we can substitute this value of Y back into equation (ii) to find X:

X = 7 - 2(15/4)

X = 7 - 30/4

X = 7 - 15/2

X = 14/2 - 15/2

X = -1/2

Therefore, the value of X is -1/2 when solving the given system of equations.

The solution to the system of equations Y=2X+1 and X=7−2Y is X=1 and Y=3.

To solve this system of equations, you can start by substituting y in the second equation with the value given in equation (i) (2x+1). So, the second equation will now be X = 7 - 2*(2x+1).

This simplifies to X = 7 - 4x - 2. Re-arrange the equation to get X + 4x = 7 - 2, which further simplifies to 5x = 5, and thus x = 1.

Now that you have the value of x, you can substitute that in the first equation to find y. Hence, Y = 2*1 + 1 = 3.

Therefore, the solution to this system of equations is X = 1 and Y = 3.

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A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

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Given that a triangle has integer side lengths 2, 5 and 2. We are to find the median of all possible values of x.

In a triangle, the sum of two sides of a triangle is always greater than the third side. That is `a+b > c`, where c is the greatest side of the triangle. This is the triangle inequality theorem.Here, 5 is the greatest side of the triangle.

Hence, `2+2<5` is not satisfied. Therefore, such a triangle is not possible. Thus, there are no possible values for the median. Hence, the correct answer is "no possible value for the median".

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The value of A = 625 ft.

What is substitution?

Substitution is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given,

A = \(s^{2}\)

when s = 25, A = 25(25)

A= 625 ft.

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The Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Here, we have,

To find the Laplace transform of the function f(t) = 2t⁴ + 3t² + 5,

we can apply the linearity property of the Laplace transform.

The Laplace transform of a constant is given by:

L[a] = a/s,

where 'a' is a constant and 's' is the complex variable.

Applying this property to each term in the function, we have:

L[2t⁴] = 2/s⁵,

L[3t²] = 3/s³,

L[5] = 5/s⁰.

Since s⁰ = 1, the Laplace transform of the constant term 5 is simply 5.

Combining these results using the linearity property, we get:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Therefore, the Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

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The function m(t) determines Tim's vertical distance above the horizontal diameter of the Ferris wheel, measured in radii, in terms of the number of seconds elapsed, t, Tim started to rotate from the 3 o'clock position.

The Ferris wheel can be visualized as a circle, with the horizontal diameter representing the ground level. As Tim rotates on the Ferris wheel, his vertical distance above the ground level changes.

To determine Tim's vertical distance in terms of time, we can use a sine function to model the motion. The sine function oscillates between -1 and 1, with a period of 2π radians. If we consider the starting point at the 3 o'clock position as 0 radians, the equation for the function m(t) can be written as m(t) = sin(t).

In this equation, t represents the number of seconds elapsed since Tim started rotating from the 3 o'clock position. As t increases, Tim's vertical distance above the horizontal diameter will vary sinusoidally. The values of m(t) will range between -1 and 1, with 0 representing the horizontal diameter.

By using the sine function, we can determine Tim's vertical position at any given time t, measured in radii.

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Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

14/10 = x/22

3. Cross multiply and solve for x.

14 x 22 = 308

10 x x = 10x

4. Divide by 10

x = 30.8

Answer:

30.8cm they are correct

Step-by-step explanation:

i am from connexus 8th grd pre algrabra

unit 5 lesson 3

1. 1:2

2. C. yes they are similar they have porportional side lengths and = ange measures

3. x = 4.5m

4. x = 30.8cm

5. x = 6 m

Answer:

its either A. or D.

Step-by-step explanation

im convinced its A though  cause d) says ''public domain''

Answer:

Step-by-step explanation:

I think 33°

Answer:

its 34 i think

Step-by-step explanation:

The probability that the slip of paper bears a number with a single "2" in it or both of the digits are a "2" is 5/33.

The total number of slips in the bowl is 33. The slips numbered from 1 to 33 inclusive are placed in the bowl. Out of these 33 slips, 5 slips bear a number with a single "2" in it or both of the digits are a "2".There are four slips with a single "2" in it, numbered as 2, 12, 20 and 21. There is only one slip with both digits as "2" numbered as 22.Therefore, the probability that the slip of paper bears a number with a single "2" in it or both of the digits are a "2" is 5/33. This is because we have 5 slips out of 33 slips which bear a number with a single "2" in it or both of the digits are a "2".

Given that the total number of slips in the bowl is 33. The slips numbered from 1 to 33 inclusive are placed in the bowl.We have to find the probability that the slip of paper bears a number with a single "2" in it or both of the digits are a "2".Let A be the event that a slip of paper bears a number with a single "2" in it or both of the digits are a "2".We can write,Total number of slips in the bowl = 33Number of slips that bear a number with a single "2" in it = 4Number of slips that bear both digits as "2" = 1Total number of slips that bear a number with a single "2" in it or both of the digits are a "2" = 4 + 1 = 5The required probability is given by:P(A) = Number of slips that bear a number with a single "2" in it or both of the digits are a "2" / Total number of slips in the bowlP(A) = 5/33

Therefore, the probability that the slip of paper bears a number with a single "2" in it or both of the digits are a "2" is 5/33.

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Answer:

the answer is $20.33 I hoñe it helps

Answer:

2(x-5)(x+4)

Step-by-step explanation:

Answer:

The first two on the right will not be used

3. goes to 1.

4. goes to 2.

5. goes to 4.

6. goes to 3.

Step-by-step explanation: