A skateboarding club randomly surveyed 200 people who visited the club's website about their favorite skateboard brand. The data collected is shown in the table.

Answer:

The constant of variation 'k' is NOT constant.

Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.

Step-by-step explanation:

Given the table

Number of Lawns         1           2            3              4

Amount Earned ($)      16         32          54            72

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the 'Amount earned ($) ' is represented by 'y', and the 'Number of Lawns' is represented by 'x'.

Let us check the constant of proportionality using the equation

k = y/x

k = 16/1 = 16

k = 32/2 = 16

k = 54/3 = 18

k = 72/4 = 18

It is clear that that the constant of variation 'k' is NOT constant.

Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.

Answer:

5. There were 30 students in that class.

6. Drew weighed 245 pounds at the start.

Step-by-step explanation:

5. Since 3 students are absent in which represents 10% of the classroom, multiply the number 3 by 10 to get 30 students which represents the full roster.

6. 20% of his original weight is 49, multiply that number by 5 to get the original weight which is 245 pounds.

Answer:

5. 3 / 0.1 = 30 students

6. 49 / 0.2 = 245 lbs

Answer:

71

Step-by-step explanation:

Answer:

3)

Step-by-step explanation:
152 - 90 = 62

180-152 = 28 which <CED and <BAC = 28.
180-28-43 = 109

<ACD = 71 because if  <ACB = 109. then think of DCB as a 180 degree. 180-109. then it is 71.
hope this help

Answer:

I believe that it is B

Answer:

16.75 meters

Step-by-step explanation:

This problem is a plug in problem.

H = 0.20x + 12.75

we plug in 20 for x which gives us

(0.20 * 20) + 12.75

which equals

4 + 12.75

giving us

16.75 meters

Answer:

16.75 meters

Step-by-step explanation:

First of all, in this x=20

let's plug it in

y=0.20×20+12.75

y=4+12.75

y=16.75

Answer:

consistent

Step-by-step explanation:

The solution to a system of equations is at the point of intersection of the 2 lines.

There is only one point of intersection, thus

The system has 1 solution and is consistent

Answer:

94.99 - 23.7475 = 71.24 dollars.

Step-by-step explanation:

Step-by-step explanation:

soln

given

y=2x+3 -----(i)

y=-x-9 ------(ii)

now, putting value of equation (i) in (ii)

y= -x-9

or, 2x+3 = -x-9

or, 2x+x = 9-3

or, 3x = 6

or, x = 6/3

or, x = 2

again,

y = 2x+3

or, y = 2×2+3

or, y = 7

therefore, value of X and Y are 2 and 7 respectively.

Answer: Infinite solutions

Step-by-step explanation:

This is because they're the same and will have the same points till the line ends.

It's when the equations intersect at a point that they have one solution.

When the lines a parallel, they have no solutions.

Hope this helped!

Answer:

10.4m

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent.

The formula is given as:

tan θ = Opposite/Adjacent

θ = Angle of Elevation = 46°

Opposite = Height of the tree = x

Adjacent = Distance from the base of the tree = 10m

Hence:

tan 46 = x/10

Cross Multiply

x = tan 46 × 10

x = 10.355303138m

Approximately to the nearest tenth = 10.4m

Answer:

1. spring

2. 21

3. 225

Step-by-step explanation:

102-123=21

all the numbers added equal 225

The solution is

A) The season which is least popular is Spring

B) The number of people who have more allergies than the non-allergic group is 21 people

C) The total number of people surveyed is 225 people

What is an Equation?

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.

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 data ,

Let the Allergic group be = A

Let the non-allergic group be = B

Now , the equation is given as

Allergic Group A = { Winter = 43 , Spring = 12 , Summer = 35 , Fall = 33 }

Non-Allergic Group B = { Winter = 21 , Spring = 13 , Summer = 33 , Fall = 35 }

A)

To find the lease popular season

Find the number in the group which has the least values

So , the Spring season of Group B has the least number of people

Therefore , the spring season of non-allergic group is least popular

B)

The total number of Allergic people = Total sum of Allergic group A

So , the equation will be

Sum of Group A = 43 + 12 + 35 + 33

Sum of Group A = 123 people

Now ,

Total number of non-allergic people = Total sum of non-allergic group B

So , the equation will be

Sum of Group B = 21 + 13 + 33 + 35

Sum of Group B = 102 people

So , the difference between Group A and Group B = 123 - 102

                                                                                     = 21 people

Therefore , a total of 21 people were more in allergic group

C)

The total number of people surveyed = Sum of Group A + Sum of Group B

So , the equation will be

The total number of people surveyed = 123 + 102

The total number of people surveyed = 225 people

Therefore , The total number of people surveyed is 225 people

Hence ,  

A) The season which is least popular is Spring

B) The number of people who have more allergies than the non-allergic group is 21

C) The total number of people surveyed is 225 people

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

y=3x-20 thats ur answer good luck

Answer:

They are skew lines.

Step-by-step explanation:

Which statement is true about lines a and b?

They are parallel lines.

They are perpendicular lines.

They are skew lines.

They will intersect.

As they both are in different directions they are skew lines .

Skew lines are not parallel neither they .They are also not co planar i.e they lie in different planes.

We have two plane Q and R . We have two line a and b on the different planes Q and R. Both planes are parallel but the lines a and b are in different directions. Therefore they are skew lines . They do not intersect and are also not parallel neither co planar.

Answer:

4x

Step-by-step explanation:

you have 3 of x and add another x to get 4 of x

Answer:

4x

Step-by-step explanation:

everytime the variable is alone it stands for 1 so,

x is the same as 1x it's invisible 1 so no one puts it so,

3x + x is the same as 3x + 1x = 4x.

Ace- The Kid Laroi- Artist-Rapper, songwriter.

Answer:

x+6<10

5x<20

x-2<2

hope this helps!!:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

hmm.. very blurry repost please

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because 6>3×(-2)+5

6>1

Answer:

is not b

Step-by-step explanation:

i got an 80% on my test and i got this answer wrong and i chose b and it was wrong and it doesn't show me the correct answer plz give me at least 3 star rating im not wrong my answer is right just not specific.

Answer:

Answer is A

5x = −10

11x − 9y = −13

Step-by-step explanation:

Got it right on Edge

Given:

Amount of bill = $25

Coupon = 15% off

Tip = 20% after discount is applied.

To find:

The total that Dylan's mom will pay at the restaurant.

Solution:

We have,

Amount of bill = $25

Discount = 15%

Amount after discount = 25 - 15% of 25

                             [tex]=25-\dfrac{15}{100}\times 25[/tex]

                             [tex]=25-3.75[/tex]

                             [tex]=21.25[/tex]

So, amount after discount is $21.25.

Tip = 20%

Total Amount = Amount after discount + Tip

[tex]\text{Total Amount}=21.25+\dfrac{20}{100}\times 21.25[/tex]

[tex]\text{Total Amount}=21.25+4.25[/tex]

[tex]\text{Total Amount}=25.5[/tex]

Therefore, Dylan's mom will pay total $25.5 at the restaurant.

Answer:

It will take them 20 years to make the same salary

Step-by-step explanation:

Let us solve the question

Assume that they will have the same salary after x years

∵ Alex makes $30,000 a year at his job

∵ He gets a $2,500 a year raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 30000 + 2500(x) ⇒ (1)

∵ Sydney makes $40,000 a year

∵  He gets a $2,000 raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 40000 + 2000(x) ⇒ (2)

∵ They will make the same salary after x years

→ Equate (1) and (2)

∴ 30000 + 2500x = 40000 + 2000 x

→ Subtract 30000 from both sides

∴ 2500x = 2000x + 10000

→ Subtract 2000x from both sides

∴ 500x = 10000

→ Divide both sides by 500

∴ x = 20

∴ It will take them 20 years to make the same salary

Answer

41 books in total.

Step-by-step explanation:

Brittany read 13 books before the book club.

4 books each month for 7 months

7 x 4 = 29

28 + 13 = 41

Hope this helps <3

Answer:

Equation → 5y = 3y + 6

Value of ST = 15

Step-by-step explanation:

From the picture attached,

In right triangles ΔVST and ΔVUT,

Acute angles ∠SVT ≅ ∠UVT [Given]

TV ≅ TV [By reflexive property of congruence]

ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]

Therefore, corresponding parts of the congruent triangles are congruent.

Therefore, ST ≅ TU

5y = 3y + 6

5y - 3y = 6

2y = 6

y = 3

Therefore, ST = 5y

ST = 5(3)

     = 15

Answer:

4/9

Step-by-step explanation:

if you make 1/3 x 3 to put it at /9, it will give you 3/9, now, 3/9+1/9=4/9 sorry for bad english

Answer:

[tex]B=\frac{V+5}{H}[/tex]

Step-by-step explanation:

Add 5 to both sides:

V+5=BH

Divide both sides by H:

[tex]B=\frac{V+5}{H}[/tex]