A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16,attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price,p. (A = mp + b)

From step #6, AB is congruent to CD by CPCTC or Corresponding Parts of Congruent Triangles are Congruent.

Triangles ABE and CDE are congruent by SAS postulate.

Therefore, angle B and angle D are congruent.

Note that the segment BD is a transversal line that cuts AB and CD, and angle B and angle D are alternate interior angles.

The answer is :

XY || WZ ⇒ AB || CD

with a reason of :

Parallel lines cut by a transversal form congruent alternate interior angles.

Answer:

$1,021.60

Blake earn $486.50 in 1 week.

"The next week, his pay will increase by 10%"

2 weeks:

= $486.50 * 1.10(+10%)

= $535.15

Blake paid after two weeks. He got

= $486.50 + $535.10

= $1,021.60

Answer:

Step-by-step explanation:

1. Subtract 200 from 180

200 - 180 = 20

2. Divide the difference of the number of bookmarks by last years

20 / 200 = 0.1

3. Multiply 0.1 by 100 to get the percentage

0.1 x 100 = 10 %

4. Since this is a reduction in number of bookmarks sold, then it would be a -10% change in the number of bookmarks sold.

Equation of a line in slope intercept form:

m is the slope

b is the y-intercept

To find the slope use the two given points in the next formula:

Use the slope and one of the points to find the y-intercept:

Then, the equation of the line passing through the given pair of points is:

First, we will find the amount of money she will pay in 48 months

Since she pays $273.53 for 48 months, then

Since she paid a $2000 down payment

Then we will add 2000 to 13,129.44 to find the total amount she paid

Now, we will subtract the price of the car from it to find the finance charge

Since the price of the care is $12,785, then

She will pay $2344.44 for the total finance charge

Answer:

112

Step-by-step explanation:

According to pemdas we do what’s in parentheses first and then multiply

5.6(7+13)

5.6(20)

112

Hopes this helps please mark brainliest

a) Domain; all real numbers except 4

b) Range; all real numbers except y = 0

c) Y-intercept = -0.75

d) x-intercept does not exist

Here, we want to find the domain, range and intercepts

The domain refers to the possible x-values

From the question, the function will hold for all values of x, except x = 4, where we will have an undefined expression

Thus, the domain is all real numbers, except x= 4

For the range, we are referring to the possible y-values

From the given equation the possible y values are all real numbers except y = 0

To find the intercepts, let us write g(x) as y

The equation is thus;

To get x-intercept, substitute y = 0

By doing this, we have no x-intercept

To get the y-intercept, we simply substitute x = 0

That means;

The amount of each deposit is $210000

Compound interest is when you reinvest your income. Compound interest distinctively means "interest on interest" and is the reason so many investors are so successful.

The computation of the each deposit is shown below:

Given that

Future value be $70,000

Time period = 10 × 2 = 20

And, the rate = 9% ÷ 2 = 4.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($70,000 × 4.5) ÷ (1 + 0.025)²⁰⁻¹

= $315,000 ÷ 1.5

= $210000

To know more about compound interest visit:

https://brainly.com/question/20406888

#SPJ4

Answer:

y = 3x - 6 is the correct equation. The slope is 3, and the y-intercept is at -6.

Answer:

4

Step-by-step explanation:

8 miles over 2 practices so double that

Answer:

The GCF of 24 & 30 would be 6. The LCM of 24 & 30 would be 120.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The answer, the measure of the smallest angle is 39° in the triangle.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

Let x be the smalletst angle

2nd angle will be x+24

and 3rd angle will be 2x

So sum of all angles x+2x+x+24=180

4x=180-24

x=156/4

x=39

Hence the measure of the smallest angle will be 39°

Learn more about triangle, by the following link

https://brainly.com/question/17335144

#SPJ1

Clear y from both equations to find the slope y intercept form of the equations

Now, find the equation for the line that is perpendicular to Eq. 1 and has the same y intercept as Eq. 2

Eq. 3 is the equation for the line

Let's find the equivalent equation to:

4x + 2y = 12

2y = 12 - 4x

Dividng by 2 at both sides:

2y/2 = 12/2 - 4x/2

y = 6 - 2x

We can see that choices B and C are not correct because the signs.

If we multiply by 2 at both sides, we have:

2y = 12 - 4x

We can see that if we change the order at the right side of the equation, we have:

2y = -4x + 12

I think now you are ready to select the correct choice, Deppreso.

Answer:

f = 5k−2/−k+2

The height of the frame will remain the same.

The height of the frame is 6 inch

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A frame:

The frame can be considered as a rectangle.

Wide = 9 inch

Height = 6 inch

_______

|               |

|               | 6-inch (height)

|               |

|_______|

  9-inch (wide)

If wide = 3 inches the height remains the same.

Thus,

The height of the frame will remain the same.

The height of the frame is 6 inch

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

rock with 35% and country with 25% are the highest percentages, therefore the answer is: B

Answer:

The length of the playground = 11 yards

The width of the playground = 14 yards

Explanation:

Let the length of the playground = l yd.

The width of the playground is 3 yd longer than its length.

Therefore, the width of the playground = (l+3) yd

Area of a Rectangle = Length x Width

Substituting the given values, we have:

We then solve the equation above for l.

We factorize:

The length of the playground = 11 yards

The width of the playground = 14 yards

If she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

In the given question,

Annie purchased a season pass for the new aquarium at a cost of $110.

If she uses the pass 10 times this year then we have to find the unit rate in cost per visit.

We have to find the unit rate.

Unit rate means finding the value of one object, that means we have to find the cost of one visit.

The cost of season pass is $110.

She visit aquarium 10 times.

We find the unit rate cost per visit by dividing the total cost of season pass  for the new aquarium by total times she visits in the new aquarium.

10 times = $110 cost

Divide by 10 on both side

10/10 times = $110/10 cost

1 times = $11 cost

Hence, if she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

To learn more about unit rate link is here

https://brainly.com/question/28572142

#SPJ1

There are 1799 members in art club .

A linear equation has the algebraic form y=mx+b, where m is the slope and b is the y-intercept, and consists of a first-order (linear) term and a constant. When x and y are the variables, the aforementioned is sometimes referred to as a "linear equation of two variables."

Each line in the Euclidean plane is conceived of as a collection of all the answers to a linear equation with two variables. Lines represent the solutions of linear equations in the Euclidean plane. This is where the word "linear," which is used to characterize this class of equations, originates.

d-dance club

a-art club

Lets set system of equations:

d=3a

a=d-3598

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

a=3a-3598

3598=3a-a

3598=2a

a=1799

so there are 1799 members in art club .

learn more about linear equations here :

brainly.com/question/11897796

#SPJ4

From the rectangle given, we see the diagonals of the rectangle bisect each other at E.

From the properties of a rectangle is that;

1) The diagonals are congruent. That is, they are equal. AC = BD

2) The diagonals bisect each other into two equal parts.

These are the two properties we will use in solving the question

Recall that the distributive for the product property states that:

Using the distributive property we get:

Simplifying the above result we get:

Answer:

Answer

Option C is correct.

a₁, a₂ and a₃ = 2, 6 and 22 respectively.

Explanation

We have been told that

a₀ = 1

And any term after that is given as

So,

a₁ = 4a₀ - 2

a₁ = 4 (1) - 2

a₁ = 4 - 2

a₁ = 2

a₂ = 4a₁ - 2

a₂ = 4 (2) - 2

a₂ = 8 - 2

a₂ = 6

a₃ = 4a₂ - 2

a₃ = 4 (6) - 2

a₃ = 24 - 2

a₃ = 22

Hope this Helps!!!

Answer:

y = -2x - 4

Step-by-step explanation:

Slope intercept form : y = mx + b

Where

The y intercept is the point where the line crosses the y axis.

Here, just by looking at the graph we can say that the y intercept is at (0,-4) because that is where the line passes the y intercept.

This means that b = - 4

We can find the slope using the following formula

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

Where, (x1,y1) and (x2,y2) are any given points on the line

The points used can vary however I have chosen (0,-4) and (-2,0)

Defining our variables we get (x1,y1) = (0,-4) and (x2,y2) = (-2,0)

So we have x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

We now plug this in to the formula

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

==> plug in x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

Slope = (0-(-4))/(-2-0)

==> remove parenthesis

Slope = (0+4)/(-2-0)

==> simplify addition and subtraction

Slope = 4/-2

==> simplify fraction

Slope = -2

So the slope or "m" is -2

Again we have y = mx + b

m = slope so m = -2 and b = y intercept so b = -4

Plugging this in, we acquire y = -2x - 4

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

We use the followig property of triangles:

• One side cannot be equal or greater than the sum of the other two sides

The sides of this triangle are: 11, 9 and 17.

The sum of the first two sides is: 11+9=20

The sum of the two sides is greater than the other remaining side (17).

Thus, 11, 9 and 17 do not make a triangle.

Using the concept of ratio and proportion, the vendor sold 56 cups of hot cider.

The word "proportion" often denotes a portion, share, or sum that is in comparison to a whole. Two ratios are in proportion when they are equal, according to the proportional idea. When an equation or a statement to that effect is used, two ratios or fractions are equal.

A percentage is a mathematical comparison of two numbers. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Cider supplied by the street seller for value = x for 35

= x/35

The cider's ratio is 8:5,

x/35 :: 8:5,

x = [35(8)]/ 5

=56.

To know more about ratio, visit:

https://brainly.com/question/13419413

#SPJ4

Answer:

t= -2

Step-by-step explanation:

Hope this helps!!

Answer:

t = -2

Step-by-step explanation:

-7t - 8 = 10 + 2t

Subtract 10 from both sides

-7t - 18 = 2t

Add 7t to both sides

-18 = 9t

Divide both sides by 9

-2 = t

11, 8, 5, 2, -1

Option D is correct

The given arithmetic sequence is:

For the first term, substitute n = 1 into the arithmetic sequence

For the second term, substitute n = 2 into the arithmetic sequence

For the third term, substitute n = 3 into the arithmetic sequence

For the fourth term, substitute n = 4 into the arithmetic sequence

For the fifth term, substitute n = 5 into the arithmetic sequence

Therefore, the first five terms are:

11, 8, 5, 2, -1