At a local fitness center, members pay a $10 membership fee and $4 for each aerobics class. Nonmembers pay $6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?

Answer:

1/36

Step-by-step explanation:

When you roll it the first time, the chances to get a 1 is 1/6.

when you roll it the second time, the chance is still 1/6, but the chance of rolling one twice in a row, is the product of the probabilities:

1/6 * 1/6 = 1/36

Step-by-step explanation:

adding all the angles then equate it to 180

x-5+2x+2x-10=180

5x-15=180

5x=195

x=39

to check, plugin x which is 39 into the given angles.

like, 39-5=34 and 2(39)=78 and 2(39)-10= 68

and all of this must be equal to 180 because the angle in a triangle is always 180 degrees.

So, 34+78+68=180

Answer:

3.92 feet

Step-by-step explanation:

The set up will be a right triangle

Given

Hypotenuse = 10feet (length of the ladder)

Opposite = 9.2 feet (Height of the slide)

Required

Length of the base l

USing the pythagoras theorem

adj^2  = hyp^2 - opp^2

l^2 = 10^2-9.2^2

l^2 = 100 - 84.64

l^2 = 15.36

l = 3.92 feet

Hence the base length is 3.92 feet

Answer:

.

Step-by-step explanation:

Answer:

[tex]BC = 8 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sin(45) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{8}{BC} [/tex]

[tex](BC) \sin(45) = \frac{8}{x} (BC)[/tex]

[tex](BC) \sin(45) = 8[/tex]

[tex] \frac{(BC) \sin(45) }{ \sin(45) } = \frac{8}{ \sin(45) } [/tex]

[tex]BC = \frac{8}{ \sin(45) } [/tex]

[tex]BC = 8 \sqrt{2} [/tex]

Answer:32p+24

Step-by-step explanation:

-4(-9p + -3) +2(-2p + 6)

36p+12-4p+12

32p+24

Hope it helped you

Answer:

7x + 7y is the product of 7 & (x + y)

Step-by-step explanation:

[tex]7x + 7y = 7(x + y)[/tex]

Hence 7 & (x + y) are the factors of 7x + 7y

Answer: 3rd option

Step-by-step explanation:

positive gradient and intercepts y  axis on +1

Step-by-step explanation:

Length PR = 45mmsin55 = 36.8618mm

Length PQ = 45mmcos55 = 25.8109mm

Angle R = 90° - 55° = 35°

Answer:

The answer is 0.86y

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

Answer:

I do not know if this is what you meant

x=2

y=1

Step-by-step explanation:

2x+y=5

3x-2y=4​

multiply by 2

4x+2y=10

3x-2y=4​

add

7x=14

divide

x=2

substitute

2(2)+y=5

3x-2y=4​

solve

y=1

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Express the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (5, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{5-4}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then

y = x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (5, 2 ), then

2 = 5 + c ⇒ c = 2 - 5 = - 3

y = x - 3 ← equation representing the table of values

Answer:

x=4

Step-by-step explanation:

Answer:

Given triangles are similar

[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]

Answer:

60°

Step-by-step explanation:

since chords AB and CD are parallel and BD is the diameter of the circle, so , it means that m arcAD or m<ABD= m<CDB

Answer:

4

Step-by-step explanation:

Need to know #, and solve :

  # [tex]\frac{2}{3} *S[/tex] is the same as [tex]\frac{2*S}{3}[/tex]

 #you need the same denominator to be able to add or subtract fractions

 # [tex]\frac{2}{3}[/tex]  is the same as  [tex]\frac{4}{6}[/tex]

[tex]\frac{2*S - 4}{3} = \frac{S + 4}{6}[/tex]  

 # [tex]\frac{a}{b} =\frac{c}{d}[/tex]  is the same as a*d = b*c

6 ( 2*s - 4) = 3 ( s+4)

 # distribute multiplication over addition and subtraction

12s-24 = 3s+12

 #isolate like terms

12s-3s = 12+24

 #combine like terms

9s = 36

 #divide both sides by 9

s= 4

Answer:

9.5 feet

Step-by-step explanation:

We solve this question using Sine rule

XY/sin X = YZ/Sin Z

From the question:

∠Z=90°

∠X=57°

XY = 8 feet.

8/sin 57 = YZ/sin 90

Cross Multiply

sin 57 × YZ = 8 × sin 90

YZ = 8 × sin 90/sin 57

YZ = 9.53891 feet

Approximately = 9.5 feet

Therefore, the length of YZ is 9.5 feet

Answer:

is the question want to ans to be in the form of x

Answer:

-2 would be the answer

Answer:

y>2/3+3

Step-by-step explanation:

We know that the rise is two and run is three, 2/3. Then the blue shaded are would stand for y>. And the y-intercept is 3.

Answer:

They look about right

Step-by-step explanation:

Answer:

=−2x²+9+2x²+6x−10

= 6x−1

Step-by-step explanation:

Answer:

B. 196

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Simplify the following:

4 (12 - 2)^2/4

Hint: | Express 4 (12 - 2)^2/4 as a single fraction.

4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:

(4 (12 - 2)^2)/4

Hint: | Cancel common terms in the numerator and denominator of (4 (12 - 2)^2)/4.

(4 (12 - 2)^2)/4 = 4/4×(12 - 2)^2 = (12 - 2)^2:

(12 - 2)^2

Hint: | Subtract 2 from 12.

| 1 | 2

- | | 2

| 1 | 0:

10^2

Hint: | Evaluate 10^2.

| 1 | 0

× | 1 | 0

| 0 | 0

1 | 0 | 0

1 | 0 | 0:

Answer: 100

Step-by-step explanation:

Angles A and B are Alternate Exterior angles, therefore they are congruent.

=> 8x + 6° = 4x + 38°

=> 4x = 32°, x = 8°

Hence Angle B = 4(8°) + 38° = 70°.

Answer:

D

Step-by-step explanation:

Answer: D

The inequality k > 9 / 2 is represented by graph D.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the inequality is k > 9 / 2. The inequality is represented as the value of k is greater than the value 9 / 2 or 4.5. On the graph, the inequality will cover the region that is greater than the value of 4.5.

The graph of the inequality is attached with the answer below.

To know more about inequality follow

https://brainly.com/question/24372553

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