HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.

1. Find the distance from A to B. Explain how you found this distance.


2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.

3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

Given data:

The given series is -32, -25, -18, -11,....

The commo difference of the given series is,

The expression for the explicit formula for the given series is,

The expression for recursive formula is,

A 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.

For the given question;

The 8-ounce bottle of salad dressing costs $1.76

This can be written as-

8-ounce bottle -----> $1.76.

For finding the price of one ounce divide both side by 8.

1-ounce bottle -----> $0.22

Now, for 28 ounce bottle.

28 ounce bottle costs $5.88.

28 ounce bottle-----> $5.88.

For finding the price of one ounce divide both side by 28.

1-ounce bottle -----> $0.21

Difference = 1-ounce for 28 bottle -  1-ounce for 8 bottle

Difference = $0.22 - $0.21

Difference = $0.01

Thus, 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.

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The Pythagorean Theorem is used to determine that the distance between the hands at 9 o'clock is 14 inches.

It is implied that a clock has an 11-inch-long minute hand and a 9-inch-long hour hand.

We need to find the distance between the end of the hands at 9 o'clock.

At 9 o'clock, the hands form a right angled triangle.

Let the length of minute hand = x , hour hand = y and the distance between the end of the hands at 9 o'clock = z

Therefore, by using Pythagorean theorem,

x² + y² = z²

11² + 9² = z²

z = [tex]\sqrt{11^{2}+9^{2} }[/tex]

z = [tex]\sqrt{202}[/tex]

z = 14.21 rounded to 14 inch

Using the Pythagorean theorem, the distance between the ends of the hands at 9 o'clock is calculated to be 14 inches.

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whenever you have an equation with one variable on both sides, you might end up with one of the following case:

1. You might end up with an inconsistent equation, therefore there is not solution. Example

x = x+3. If you subtract x on both sides, you get 0=3 which is impossible.

2. You might end up having infinite solutions. Example:

x+6 = x+6. If you subtract x on both sides you get 6 =6 which is true regardless of the value of x.

3. You might end up having only one solution. Example:

3x +2 = x +5

If you subtract x on both sides and subtract 2 on both sides, you get

2x = 3.

then if you divide by two on both sides, you find

x = 3/2. So this equation has one unique solution.

The one data point that does not fit in scatter plot to the pattern is (60.7  ,  182.1)

What is a scatter plot meaning?

The best chart is Scatter Plot

The one data point that does not fit to the pattern is

(60.7  ,  182.1)

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The system of equations is given as

To plot the graph for each equation, we can prepare a table of values taking

EQUATION 1: -x +y = -2

EQUATION 2: 2x + y = 10

The graph can then be drawn as shown below:

The solution to the system of equations is the point where the two graphs intersect.

This is seen in the graph above as (4, 2).

Hence, the correct option is the FOURTH OPTION.

Jenny's age is 20 years, Lynn is 14 years and Kim is 23 years.

Let's take Jenny as J, Kim as K and, Lynn as L.

From the given statement we get the equation.

As the sum of the age of the three sisters is 57. So we have an equation,

J + K + L = 57 ........(i)

Jenny is 6 years older than Lynn. So the next equation is,

J = 6 + L .......(ii)

Kim is 5 years less than twice her age Lynn. So the equation is,

K = 2L -5 .........(iii)

Putting equations (ii) and (iii) in equation (i)

6 +L + 2L - 5 + L = 57

4L = 56

L = 14

Put the value of L in equations (ii) and (iii)

J = 6 + 14

 = 20

K = 2(14) -5

   = 28 - 5

   = 23

Therefore the age of Jenny is 20 years, Lynn is 14 years and Kim is 23 years.

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The curve intersect the x axis at x = 1. So x-intercept is 1. Statement A is false.

The curve intersect the y-axis at y= 3. So y intercept is 3. Statement B is correct.

The curve tends toward infinity at y = -1. So y = -1 asysmptote of the function. Statement C is correct.

The range of function is y > -1. So range is not all real number. Thus statement D is incorrect.

The function is defined for x > -0.5. At x = 0.5 function tends toward infinity. Thus statement E is incorrect.

As we move from left to right on x-axis then function decreases. So function shows decay. The statement F is incorrect.

The value of function approaches -1 as value of x increase but does not cross -1 ot touch the value y = -1. So statement G is correct.

Thus correct statement are,

B, C and G.

By definition, the Rate of change is also called "Slope".

The slope of a line can be found dividing the difference between the y-coordinates of two points, by the difference between the x-coordinate of those points:

In this case you know that:

Knowing the following point on the line:

You can set up the following (substituting the slope and the coordinates of those point into the formula)

Now you can solve for "a":

The answer is: Third option.

Answer:

144

Step-by-step explanation:

r = k m^2 / s     <====given   ( k is proportionality constant)

16 = k ( 9^2) / 9     shows  k = 1  7/9

then:

r = 1 7/9 * 27^2 / 9    = 144

The length of the hypotenuse of the triangle is √61 ft

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

Smaller sides = 6ft and 5 ft

Hypotenuse = c

The hypotenuse of a triangle is calculated using the following Pythagoras theorem

Hypotenuse^2 = Opposite^2 + Adjacent^2

Where Opposite and Adjacent are 6 and 5

So, we have

c^2 = 5^2 + 6^2

Evaluate

c^2 = 61

Take the square roots

c = √61

Hence, the hypotenuse is √61 ft

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Solution:

Given the expression:

To simplify in the form:

step 1:

Multiply the terms in the second parenthesis by each term in the first parenthesis.

Thus,

step 2:

Collect like terms.

Hence, the expression is simplified as

A. you should buy pass for minimum 34 ride per month to get profit.

B. you save 4.4$ by using the monthly pass.

How to calculate profit?

if monthly pass cost you more than one way pass then you loss money. To calculate the minimum amount of rides to get profit from monthly pass. Divide the monthly pass cost by one-way ticket cost.

A. minimum rides= cost of monthly pass/cost of one way ticket

minimum rides=[tex]\frac{55}{1.65}[/tex]

minimum rides=33.33

you need to travel at least 34 times to purchase the pass

B. you have 9 rides per week. 5 on weekdays and 4 on weekends

total rides per month= 9×4

                               =36

cost of 36 rides=36×1.65

                         59.4

amount you save=59.4-55

                            =4.4$

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In linear equation, No of Adults = 2,179, No of Children = 3,221 .

What in mathematics is a linear equation?

Let Number of Adult admission be x

    Number of children's admission be y

Total tickets were sold = 5400

so x+y= 5400  ....... eq 1

One adult ticket costs $5.50 ,so total Adult ticket costs = 5.50x

One Child ticket costs $ 3.50, so total Children tickets cost= 3.50 y

receipt totaled = $23,258

so 5.50x+3.50y= $23,258....... eq 2

multiply 5.50 to the  eq 1, we get,

5.50x +5.50y = 29,700...... eq 3

subtract eq 2 from eq 3, we get,

5.50y-3.50y = 29,700- 23,258

2y= 6,442

divide by 2 both sides ,we get, y= 3,221

substitute the value of y in eq 1, we get,

x+ 3,221 =5400

x= 5400- 3221

x= 2,179

No of Adults = 2,179, No of Children = 3,221

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Answer:

16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors. Hope this helps! <3

Answer:

x-intercept: (−5, 0)

y-intercept: (0, 2)

Step-by-step explanation:

FOR X INTERCEPT WE KNOW THAT Y WILL BE A AT THE AXIS LINE WE CAN SUBSTITUTE THW VALUE O IN THE PLACE OF Y TO GET X-INTERCEPT

[tex]2x - 5(0) = 10 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]

5 is the x-intercept

(5,0)

FOR Y INTERCEPT ON THE Y AXIS X IS EQUAL TO 0 WE CAN PLUG IN TO FIND THE VALUE OF THE Y -INTERCEPT IN THE EQUATION

[tex]2(0) - 5y = 10 \\ - 5y = 10 \\ \frac{ - 5y}{ - 5} = \frac{10}{ - 5} \\ y = - 2[/tex]

-2 is the Y-intercept

(0,-2)

Hope this helps

First, we have to analyze how each number grows (the number of thumbs and the number of sticks for each diagram)

So we can build two equations that give us the number of thumbs and the number of sticks for each diagram, let be n for the number of the diagram, so :

Now we can know the number of thumbs and sticks for any diagram, and we can solve the questions provided, first, let's draw the 4th diagram:

Now

How do I know how many sticks are in the sixth diagram?

sticks= 4(6) = 24

There are 24 sticks in the sixth diagram.

How many thumb tacks are in the seventh diagram? ​

thumbs= 3(7)+1 = 22

There are 22 thumbs in the seventh diagram.

f(x)=x ^2

Translate 8.5 units to the left

f(x)= (x + 8.5 )^2

vertical Stretch of a factor of 3

f(x)= 3 (x + 8.5 )^2

7 units down

f(x)= 3 (x + 8.5 )^2 - 7

Given, the cost of 24 tiles $54.50

Step 1: Calculate how much a tile cost. To obtain the cost per tile

Step 2: Calculate the cost to put 36 tiles (i.e the cost per tile multiply by 36)

Hence, it will cost $81.75 to put 36 tiles

Answer:

32,700

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

If the question is SUPPOSED to be

| 2x +3 | = 3     you have to solve for the left side being positive or negative

Positive    2x + 3   = 3

                  2x = 0

                   then x = 0

Negative   - ( 2x+3) = 3

                  -2x -3  = 3

                   -2x = 6

                       x = -3

So answer A

Given:

Line a is parallel to line b.

As shown:

m∠1 = m∠5 ; the corresponding angles are congruent

m∠2 = m∠2 ; the corresponding angles are congruent

So, the answer will be option 2

Students takes both French and Spanish is 5 members

Student takes just Spanish = 14 members

Student takes just French = 13 members

Given :

Total numbers of students in class = 35

how many members take spanish = 19

how many members take french = 18

students take neither = 3

To find :

A) Both French and Spanish

B) Just Spanish

C) Just French

Solution :

from venn diagram

a+b+c+d = 35 → 1

b+c = 19 → 2

c+d = 18 → 3

a = 3 → 4

Substract equation 1 and equation 2

a+b+c+d-b-c=35-19

a+d=16 → 5

substract a=3 in the eqution 5

3+d=16

d=13

put d=13 in equation 3

c+d=18

c+13=18

c=5

Students takes both French and Spanish is 5 members

Student takes just Spanish = 14 members

Student takes just French = 13 members

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Let x represent the number of gallons that might be in the pool. When we say 'no more than 700000 gallons', it means 'less than or equal to 700000'. The symbol for 'less than or equal' to is '≤ '

Thus, the inequality representing this situation is

x ≤ 700000

Explanation

In the question, we are given some important details to work with. Here is a list of them.

1) First, we must note that each family is contributing $20 worth of food.

2) Harlin's family brought 12 packages to the party.

3) The 12 packages consist of two types of buns namely hamburgers and hot dogs. The hamburger buns cost $2 per package while the hot-dog buns cost $1.50

Part A

Let's assume that the number of hamburger packages represents x and the number of hot dogs packages represents y. We can conclude that the sum of bought packages should be equal to 12. We can then translate this information into the equation below.

Answer A: x+y = 12

Part B

Now, we can figure out the equation that represents the cost of the buns. Since we know the cost of each buns package, we can multiply the cost of each buns package by the number of packages that were brought to the party by the Harlin family.

Also, we will add the resulting expressions and equate it to the cost of the worth of food each family will bring to the party.

Therefore,

Answer B: 2x+1.5y = 20

Part C And Part D

The above sections can be gotten by solving the previous systems of equations simultaneously. Therfore,

Let's create equation three from equation 1

Then we will substitute equation three into the untouched equation 2

Step-by-step explanation:

your teacher is not very precise, I fear.

the yearly salary ($29,700) is the gross pay she gets.

the gross pay minus the taxes ($2,948 and $2,573) is then the net pay she receives.

in many cases the employer also withholds the health insurance premium (and then that has to be subtracted too before getting the net pay).

I just think your teacher means by "net pay" how much she will have left are all the monthly costs.

her annual net pay amount is

$29,700 - $2,948 - $2,573 = $24,179

the monthly net pay is $24,179/12 = $2,014.916666... ≈

≈ $2,014.92

she has to pay monthly

$140

$ 65

$300

$675

$130

$ 55

$278

$220

---------

$1,863

based on her monthly net pay she has left

2,014.916666...

- 1,863

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

151.9166667 ≈ $151.92

per month

please pick based on what you think your teacher means by net pay : the actual net pay by her employer, or how much money she has monthly left after paying all bills.

The equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)  is y = (-1/2)x - 1

The equation of the line is

3y-6x = -15

Convert the equation to the slope intercept form of the line

3y-6x = -15

3y = 6x-15

y = (6x-15)/3

y = 2x-5

The slope intercept form of the line

y = mx+b

By comparing the result with slope intercept form

slope of the line m = 2

The slope of the line perpendicular will be the negative reciprocal of 2

m = -1/2

Therefore the slope of the line will be

y = (-1/2)x+b

The line is passing through the point (6,-4)

Substitute the values in the equation

-4 = (-1/2)×6+b

-4 = -3+b

b = -4+3

b = -1

Substitute the values in the slope intercept form

The equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)

y = (-1/2)x - 1

Hence, the equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)  is y = (-1/2)x - 1

The complete question is

Write an equation for a line perpendicular to 3y − 6x = −15 and passing through the point (6,-4).

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