Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105

Answer:

[tex]b[/tex] ≈ [tex]12.0[/tex]

Step-by-step explanation:

Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.

[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]

Subtract 144 from both sides

[tex]b^2=145\\[/tex]

Square root both sides

[tex]b=\sqrt{145}[/tex]

[tex]b[/tex] ≈ [tex]12.0[/tex]

Answer:

Step-by-step explanation:

[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]

Hope it helps tell me if its right

Answer:

Step-by-step explanation:

plz mark me brainliest

income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.

hope it helps

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

Answer:

1st Choice

Step-by-step explanation:

The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.

Answer:

A

Step-by-step explanation:

g(x)=∛(x-4)

Answer:

[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.

Hope this helped you, Also please let me know if anything is unclear or wrong!

Answer:

Step-by-step explanation:

Answer: 809.06‬

Step-by-step explanation:

$214.50 +  $125.17 +  $245.30 + $165.34 +  $58.75 =  809.06‬

Answer:

oki

Step-by-step explanation:

what do you need help with? :)

Answer:

Rs 60

Step-by-step explanation:

[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]

[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]

[tex]5x(1.25)+5x(5/6)=625[/tex]

[tex]10.416667x=625[/tex]

[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]

[tex]x=59.99999...[/tex]

[tex]x=60[/tex]

Answer:

The first graph is the solution to:

x = y - 2  (blue line)

y-8 = -1/2x (red line)

where the solution is (4,6)

The second graph is the solution to:

x = y - 2  (blue line)

y-8 = -2x (red line)

where the solution is (2,4)

Step-by-step explanation:

The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.

To graphically solve a system you have to draw each line on the plane and look at the intersection point.

Answer:

Its the first graph you can graph it on desmos if you need :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

I think it’s correct

Step-by-step explanation:

Answer:zooooooooooooooooooooooooooooooooom

Step-by-step explanation:

Answer:

B 65 sq. units

Step-by-step explanation:

The area of a triangle is equal to base times height divided by 2

the base is 13 and the height 10

13 times 10 is 130. 130 divided by two is equal to 65

:

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

When you reflect it over the x-axis you have to change the coordinates of each number.

Answer:

B. (1, -1), (1, -4), (3, -1)

Step-by-step explanation:

If a triangle is reflected across the x-axis, it's y coordinate values will become negative or positive if it's already negative. It uses the rule (x, -y)

(1, 1) → (1, -1)

(1, 4) → (1, -4)

(3, 1) → (3, -1)

Only B. (1, -1), (1, -4), (3, -1) is correct.

Answer:

Step-by-step explanation:

So if y=308x then we have to use the substitution method.

y=308x

y=122x+2338

so y=308x=122x+2338

308x-122x=186x

186x=2338

do the division and thats your answer. which is what y equals

The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)

To calculate the probability between two z-scores is to calculate the area between the z-scores.

This is done using the following syntax:

normalcdf(lower bound, upper bound)

From the question, the lower and the upper z-scores are -0.18 and 1.99

So, the formula would be normalcdf(-0.18, 1.99)

Hence, the expression is (d)

Read more about normal distribution at:

https://brainly.com/question/25991460

Answer:

With points A, B and C a right triangle is formed.

Given that BC ⊥ CA, then m∠C = 90°.

The addition of the angles of a triangle is equal to 180°, therefore:

m∠A + m∠B + m∠C = 180°

Substituting with m∠C = 90°:

m∠A + m∠B + 90° = 180°

m∠A + m∠B = 180° - 90°

m∠A + m∠B = 90°

Answer:

The discount is $3.75.

Step-by-step explanation:

You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.

12.5×30=375

375÷100=3.75 which is the amount of the discount.

Answer:

D 6 seconds

Step-by-step explanation:

Hope this helps!!! Please amrk as Brainlyest

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

C = 2mr =

r=

m=

Step-by-step explanation:

Not sure if it's correct.

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer:

I think D, or 2 1/5

Step-by-step explanation:

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3

Answer:

Jack, Nate, Oliver

Step-by-step explanation:

[tex]1\frac{1}{4} < |-2\frac{1}{4}| < |3\frac{1}{2}|[/tex]

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer: K = 6

Step-by-step explanation:

If you find the inverse of the inverse function, it will return back to initial function.

The inverse of r^-1 (x) will give r(x).

To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,

Y = 2x^2 - 14

Interchange y for x

X = 2y^2 - 14

2y^2 = x + 14

Y^2 = x/2 + 14/2

Square both side

Y = sqrt ( x/2 + 7 )

It is only when K = 6, that will can get the value above.