To become a member of an ice-skating rink, you have to pay a one-time $50 membership fee. The cost of admission to the rink is $6 per visit for members $10 per visit for nonmembers. After how many visits to the rink is it less expensive to be a member than a nonmember?

Answer:

y= -2/3x +4

Step-by-step explanation:

(0,4) and (6,0)

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

m= (0-4)/(6-0)

m= -2/3

y-y1=m(x-x1)

y-4= -2/3(x-0)

y-4= -2/3x

y= -2/3x +4

Answer:

D

Step-by-step explanation:

Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.

Answer:

son = 10 , father = 40

Step-by-step explanation:

Let Five years ago the age of son be x years and age of father be 7x years

Present age of son =x+5

Present age of father =7x+5

5 years later their age will (x+10) and (7x+10)

∴7x+10=3(x+10)

7x−3x=20

4x=20

x=5

So, the present age of son=x+5=5+5=10years

and the present age of father=7x+5=35+5=40years

hope it helps you

Answer:

A

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

A

Answer:

P = 4(18 mm) + 2(24 mm)

Step-by-step explanation:

Answer:

The answer is 27.25.

Step-by-step explanation:

Answer:

C. As the value of x increases, the value of y decreases.

Step-by-step explanation:

The slope is -3. Negative slope means:

   As y increases, x decreases.

Therefore:

   As y decreases, x increases.

Answer:

Jane got 42 votes.

Step-by-step explanation:

Step 1: Put 70% into decimal.

0.7

Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:

42

Answer:

Trina is 13

Kieth is 18

Step-by-step explanation:

x + 5 = Kieth's age

Divide by 2 to separate the ages:

62 ÷ 2 = 31

Subtract the difference in ages:

31 - 5 = 26

Add the 5 years to Kieth's age:

31 + 5 = 36

Divide by 2 again, to eliminate the twice of their ages

26 ÷ 2 = 13

36 ÷ 2 = 18

Trina is 13

Kieth is 18

This is what i got. Sorry if i'm wrong, lmk if i am!

Hope this helps! Brainliest if i'm correct!?

Answer:

the 4 would equal 16

the 2 would equal 4

To get this you would have to multiply the number by the scale factor of 4

4(4)=16

2(4)=8

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Hope this helps

Answer:

Evaporation

Step-by-step explanation:

because the temperature rises as go up...

Answer: B

Step-by-step explanation:  Condensation, because water is changing from gas to liquid

Answer:

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the line

         [tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          [tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]

Final answer:-

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Answer:

6.33

Step-by-step explanation:

Given the coordinates;

G(-4,2), O(5,-1), and T(10,8).

Midpoint of GT is expressed as;

M = (-4+10/2, 2+8/2)

M = (6/2, 10/2)

M = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

MO = √(3-5)²+(5+1)²

MO = √2²+6²

MO = √4+36

MO = √40

MO  = 6.33

Hence the length of the segment joining the midpoint of GT and O is 6.33

The  length of the segment joining the midpoint of GT and O is 6.33.

Midpoint of GT is expressed as;

[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]

 = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]  

= 6.33

Learn more: brainly.com/question/16911495

Answer:

choice 1) a^2+b^2 = C^2

and

choice5) c = sq rt(a^2+b^2)

Answer:

Area =0.41 units^2

Step-by-step explanation:

sin 26 degrees=height/1.53

height=.438371 x 1.53=0.67

Area =(1/2)(0.67)(1.22)=0.41 units^2

I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that

Answer:

x = 16√3

y = 8√3

Step-by-step explanation:

First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).

x = 24/cos(30)

(cos(30) is the same as √3/2)

x = 24/√3/2

Step 1: Multiply by 2/√3

x = (24 * 2)/√3

Step 2: Rationalize the denominator by multiplying by √3

x = √3(24 * 2)/√3 * √3

Step 3: √3 squared is 3.

√3(24 * 2)/3

Step 4: Multiply 24 by 2 to get 48.

x = √3(48)/3

Divide √3(48) by 3 to get 16√3

x = 16√3

Before we figure out y, we need to find you what 16√3 squared is.

((16(√3))²

Step 1: Expand the above equation.

16²(√3)²

Step 2: Square 16 to get 256.

256(√3)²

Step 3: √3 squared is 3.

256(3)

Step 4: Multiply 256 by 3 to get 768.

768

Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²

Answer:

Step-by-step explanation:

r = 7 ft

θ =  (26/180)π = (13/90)π radians

arc length = rθ = 7×(13/90)π = (91/90)π ft

Answer:

A = 105 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]

where h is the height and b₁, b₂ the parallel bases

Here h = 5 , b₁ = 24 and b₂ = 18 , then

A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]

   = [tex]\frac{1}{2}[/tex] (42 × 5)

   = [tex]\frac{1}{2}[/tex] × 210

   = 105 cm²

Answer:

C. s ≤ 750

Step-by-step explanation:

A. s≥750

B. s=750

C. s≤750

D. s<750

'no more than' in inequality means "less than or equal to"(≤) which means that the quantity could be less than or equal to.

From the question given, the theater can only receive less than 750 spectators or 750 spectators but no more than 750 spectators

The statement can be represented by the inequality;

s ≤ 750

Where

s means spectators

Answer:

The product means multiply

The second one: 5x=15

Step-by-step explanation:

Hope that helps!!!!!

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each.

The expression that gives the total cost of the bouquets that Penny buys will be:

= (3 × $3) + (4 × $2)

Solving further will be:

= (3 × $3) + (4 × $2)

= $9 + $8

= $17

Answer:

D

Step-by-step explanation:

Answer:-9

Step-by-step explanation:

Answer:

The sidelength of the triangles is 6 feet and 8 feet.

Step-by-step explanation:

Given that,

The Hypotenuse of a right triangle = 10 feet

Let the shorter leg is x. It means the longer leg is (x+2).

For a right triangle,

Hypotenuse²=base²+perpendicular²

So,

[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]

The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.

Answer: -8 6

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

X = -5

Step-by-step explanation:

Answer: He would make $1,170 a week.

Step-by-step explanation:

He makes $400 a week.

$55 per appliance sold, he sold 14 appliances.

$55 x 14 = $770

$400 + $770 = $1,170

Hope this helps!:)

Answer:

15

Step-by-step explanation:

let ,no of sweets =x

therefore,x-2x/3=5

therefore x=15