At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

Answer:

Tasa efectiva anual= 0.1722= 17.22%

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual= 16% capitalizable mensualmente

Primero, debemos calcular la tasa nominal mensual:

Tasa mensual= 0.16 / 12= 0.01333

Ahora, usando la siguiente formula, la tasa efectiva anual:

Tasa efectiva anual= (1 + i)^n - 1

Tasa efectiva anual= (1.01333^12) - 1

Tasa efectiva anual= 0.1722= 17.22%

Answer:

The answer would be 3, 50%, 3/6, 1/2

Step-by-step explanation:

Half the numbers are even numbers while the other half is uneven.

1 3 5

2 4 6

Answer:

B

Step-by-step explanation:

Answer:

3 < M - N < 9

Step-by-step explanation:

First, let's write the inequalities for these two numbers.

"a number greater than -3 and less than -2"

 -3 < N < -2

"a number greater than 1 and less than 6"

1 < M < 6

We want to subtract the first one to the second one, so we want to get:

M - N

Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.

Then the minimum value of M - N happens when:

M = 1

N = -2

(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)

Then the lower bound is:

M - N = 1 - (-2) = 3

We already got:

3 < M - N

For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N

This is:

M = 6

N = -3

M - N = 6 - (-3) = 9

Then:

M - N < 9

If we take both of our results, the possible values of the subtraction are given by:

3 < M - N < 9

The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as

3 < M - N < 9

Question Parameter(s):

-3 < N < -2

1 < M < 6

therefore,

subtraction for lower bound

M - N = 1 - (-2)

M - N = 3

3 < M - N

subtraction for upper bound

M - N = 6 - (-3)

M - N = 9

M - N < 9

In conclusion,  the possible values after subtraction are

3 < M - N < 9

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Answer:

option D

Step-by-step explanation:

7 1/2 divided by 3.4 = 10.  

The student will need 10 dance classes to learn the routine.

Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Answer:

D. 16 times.

Step-by-step explanation:

Volume of a cylinder = π r^2 h

π r^2 h = 432

Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.

Let the new height be H, then:

432 = π (r/4)^2 H

so π r^2 h = π(r/4)^2 H

r^2 h = r^2 H / 16

h = H/16

H = 16h.

Answer:

The correct answer is (3, 9)

Step-by-step explanation:

The rule for reflecting over the X-axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X-axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Answer:

QTS=STQ=STR

Step-by-step explanation:

Answer: (not sure)

half of 2/8 is 0.125 and half of 8/16 is 0.25

if you want half of both together it's 0.625

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Answer: 13:1

Step-by-step explanation:

Number of candies = 1170

Number of gumdrops = 1080

Number of chocolate bars = 90

The ratio of candies to chocolate bars will be calculated thus:

= Number of candies / Number of chocolate bars

= 1170 / 90

= 13/1

= 13:1

Therefore, the ratio of candies to chocolate bars is 13:1.

Answer:

Step-by-step explanation:

Start with f(x)=3x+24 and find the inverse function:

1.  Replace "f(x)" with y:  y = 3x + 24

2.  Interchange x and y:  x = 3y + 24

3.  Solve for y:  3y = x - 24, or y = (1/3)(x - 24)

This last step results in the inverse function.

Now let's test this.  Let x = 36.  How many texts could Madison "do" for this dollar amount?  y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).

Let's go back to the original f(x)=3x+24, now letting x = 4:

f(x)=3(12)+24 = $36.  This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer: If a cone is intersected by a plane parallel to the base, then the cross section is a circle.

Step-by-step explanation:Cones are circular

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Step-by-step explanation:

Given that,

Length, l = (3d+2) m

Width, b = (d+5) m

(a) Perimeter of the rectangle,

P = 2(l+b)

P = 2(3d+2+d+5)

= 2(4d+7)

P = 8d+14

(b) If P = 30 cm.

8d+14 = 30

8d = 16

d = 2

(c) l = (3(2)+2) = 8 m

b = (2+5) = 7 m

The area of this rectangle,

A = lb

A = 8×7

A = 56 cm²

Hence, this is the required solution.

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

Answer:

Step-by-step explanation:

the two halfs of the triangles will make a box so just  5x8x9 =360 [tex]cm^{3}[/tex]

Answer:

Discriminant:

Since D > 0, there are 2 real solutions:

The two solutions of the inequality -X > 10 are -15 and -11

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.

We can start by multiplying both sides of the inequality by -1 to get:

X < -10

This means that any value of X that is less than -10 will satisfy the inequality.

Therefore, two possible solutions to the inequality are:

X = -15 (since -15 is less than -10, the inequality -X > 10 is true)

X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)

Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.

Hence, the two solutions of the inequality -X > 10 are -15 and -11

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Answer:

x = 5/4 + √65/4 or x = 5/4 - √65/4

Step-by-step explanation:

I'm assuming you mean 2x^2-5x-5=0?

x = ( -b ± √b^2 - 4ac ) / 2a

x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)

x = ( 5 ± √(25 + 40) ) / 4

x = ( 5 ± √65 ) / 4

x = 5/4 ± √65/4

Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4

Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°