Mathematics College

7. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?

7. Veronica Is Choosing Between Two Health Clubs.After How Many Months Will The Total Cost Foreach Health

Answers

Answer 1

Answer:

The total cost for  each health club will be the same after 4 months.

Step-by-step explanation:

Let A = membership fee for studio AB = membership fee for studio Bx= membership month

[tex]A = 22 + 24.5x[/tex][tex]B = 47.00 + 18.25x[/tex]

We want to when the total cost at each health studio is the same.

In other words, when A = B.

Therefore, the expression becomes

[tex]A = B[/tex]

[tex]22\:+\:24.5x=47.00\:+\:18.25x[/tex]

Step 1: Simplify both sides of the equation.

[tex]24.5x+22=18.25x+47[/tex]

Step 2: Subtract 18.25x from both sides.

[tex]24.5x+22-18.25x=18.25x+47-18.25x[/tex]

[tex]6.25x+22=47[/tex]

Step 3: Subtract 22 from both sides.

[tex]6.25x+22-22=47-22[/tex]

[tex]6.25x=25[/tex]

Step 4: Divide both sides by 6.25

[tex]\frac{6.25x}{6.25}=\frac{25}{6.25}[/tex]

[tex]x=4[/tex]

Therefore, the total cost for  each health club will be the same after 4 months.

Related Questions

Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Answers

Answer:

2

Step-by-step explanation:

3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3

Answers

2.07*10^-2

When using scientific notation you want to multiply it by ten with and exponent thy will move the decimal x many spaces. In this problem, the decimal was moved two spaces to the left of 2.07 so the exponent is 10^-2.

Hope that helps

what is the value of x if a² + ax - 10 is divided by a-2?

help with computation po​

Answers

Answer:

x = 3

Step-by-step explanation:

We need it in factorized form to get x.

If the quadratic equation can be divided by a-2 the first part is:

(a-2)

Now to get a², the a must be multpilied by itself. So

(a-2)(a)

To get -10, -2 must be multiplied by 5. So:

(a-2)(a+5)

we can expand to get x

a² + 5a - 2a -10

a² + 3a - 10

a² + ax - 10

x = 3

An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?

Answers

Answer: 8

Step-by-step explanation:

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Calculation of the time taken:

Since An element with a mass of 650 grams decays by 13.2% per minute.  and there is 220 grams of the element remaining.

So, the mass decays be

= 650 - 220

= 430

Now the total percentage be like

[tex]= 430 \div 650[/tex]

= 66.15%

Now the time taken should be

= [tex]66.15\div 13.2[/tex]

= 5 minutes

The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.

Learn more about time here: https://brainly.com/question/21207761

which of the following is a solution to the inequality 4x-5y<10

Answers

Answer:what is the following

Step-by-step explanation:

Helppp meeee plzzz thanks

Answers

Answer:

500+4=504

Step-by-step explanation:

Hope it helps

What is 0.0033 in scientific notation?

Answers

3.3 * 10^-3

Moving the decimal right gives a negative power

Answer:

[tex]=3.3*10^{-3}[/tex]

which equation is true
A. 0.9 = 90/100
B. 12/10 equal to 1.02
C. 1.9 = 9/100
OR
D. 18/9 = 0.2

Answers

A. All the others are false

A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?

Answers

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

q(x)=2 −2+? please solve this huhu

Answers

Answer:

I mean it would just be q(x) = 0

Step-by-step explanation:

Answer: q=0

Step-by-step explanation: Let's solve for q.

qx=2−2

Step 1: Divide both sides by x.

qx

x

=

0

x

q=0

Answer:

q=0

Helpppppp I don’t get it

Answers

Answer:

-3y + 2x - 4

Step-by-step explanation:

Answer:

-3y - 4 + 2x

Step-by-step explanation:

when it says combine like terms, it means combine the terms that have the same variable

-7y, -2y, and 6y all have the same variable: y

so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)

-2 and -2 are like terms, they don't have a variable

when you combine them, you get -4

-4x and 6x are like terms, their common variable is x

when you combine these, you get 2x

now put your answers together to get -3y - 4 + 2x

Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long ​

Answers

Answer:

33 minutes

Step-by-step explanation:

It would tale her 1.5 min for each page

Write the equation of a line that passes through the
points shown in the table.
Which equations represent a line that passes through
the points given in the table? Check all that apply.
х
y
y-2 = -6(x + 10)
Oy-2=-1(x + 10)
-10
2
Oy-1--1(x + 4)
-4
1
y=-6x - 58
8.
-1
y=-3x+
y=-**+5
14
-2

Answers

Answer:

it's b on edge 2020

Step-by-step explanation:

you're welcome :)

The equations of the line that passes throught the point given in the table are as follows;

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

Equation of a straight line

The linear equation of a striaght line is represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore,

m = 1 - 2 / -4 + 10

m = - 1 / 6

Let's find b using (-10, 2)

2 = - 1 / 6(-10) + b

2 = 5 / 3 + b

b = 2 - 5 / 3

b =  6 - 5 / 3

b = 1 / 3

hence,

[tex]y = -\frac{1}{6} x+\frac{1}{3}[/tex]

using y - y₁ = m(x - x₁)

y₁ = 2

x₁ = -10

m = - 1 / 6

Hence,

[tex]y-2=-\frac{1}{6}(x+10)[/tex]

learn  more on equation of a line here: https://brainly.com/question/20897328

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Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.

How many pieces of glass will he need to make a window that is 864 square inches?

Answers

Answer:

Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.

1.45
--
Decimal as fraction

Answers

Answer:

1.45 as a fraction is 29/20

Step-by-step explanation:

1.45 equivale a 29/20 en fracción

Graph this compound inequality: x 9.8

Answers

Graph it
On the right side of the graph , go up 9 and go left 8

D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F

Answers

Answer:

A) E, F, H, N

Step-by-step explanation:

I think so......

Given that
5x:9=7:3
Calculate the value of
x

Answers

Answer:

x = 4.2

Step-by-step explanation:

Given  5x:9=7:3 To findThe value of  xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2

Answer:

4.2

Step-by-step explanation:

5x:9=7:3

5x/9=7/3

5X×3=7×9

15x=63

X=63/15

X=4.2

So the value of the X is 4.2

hey. help pls and thank you​

Answers

I believe it is B. I did not look at the both the given points but one of the points that are unidentified and one of the given points:
(0, -8) and (2, -2)

To find slope use this equation:
(Y2 - Y1)/(X2 + X1)

Input the points into the equation:
(-2 - (-8))/(2 - 0) —> (-2 + 8)/(2 - 0)

You find that it becomes:
6/2

Then simplify it:
3/1

So the answer is A

Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan

Answers

Answer:

2415 Chinese yuan (rounded off to nearest yuan)

Step-by-step explanation:

£0.13 = 1 Chinese yuan

£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan

       = 2415 Chinese yuan (rounded off to nearest yuan)

Consider the rectangle reduction.

What is the missing dimension of the reduced rectangle?

11/5, 11/8, 17/15, 17/20.

Answers

Answer:

11/15

Step-by-step explanation:

17/8 is to 17/20 as 11/6 is to x.

(17/8) / (17/20) = (11/6) / x

(17/8)x = 17/20 * 11/6

(17/8)x = 187/120

(8/17) * (17/8)x = 8/17 * 187/120

x = 11/15

Answer:

11/15

Step-by-step explanation:

just got it right !! :)

Find the quotient: (27^x+3)/(9^x+2)

Answers

Answer:

Mutiply each bracket together and then separate the terms with x

At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month​

Answers

Answer:

$36.52

you're welcome :)

y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4

Answers

It would be A
Slope is 0, y = -4

Answer:

A

Step-by-step explanation:

The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)

Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115

Answers

i THINK it’s D cuz the other side would also be 65 and it’s a 180 line in total

The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65°  (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

brainly.com/question/28380652.

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How do you divide decimals 10.305 divided by2.5?

Answers

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[tex]10.305 \div 2.5 = [/tex]

[tex]10.305 \div \frac{10}{4} = \\ [/tex]

[tex]10.305 \times \frac{4}{10} = \\ [/tex]

[tex] \frac{10.305 \times 4}{10} = \\ [/tex]

[tex] \frac{41.220}{10} = \\ [/tex]

[tex]4.1220[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Christa wants to put a fence
around her triangular flowerbed.
The sides of the flowerbed are
six feet, eight feet and 10 feet.
How many feet of fencing will
she need to enclose her flowerbed?​

Answers

Answer:

240 feet

Step-by-step explanation:

f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3

Find (f +g)(x).

Answers

Answer:

5x^3 - 4x^2 + 6x - 7

Step-by-step explanation:

Given

f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3

To find

(f +g)(x)

Solution

(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4  + 5x^3 - 6x^2 - 3  =5x^3 - 4x^2 + 6x - 7

Can someone help please

Answers

Answer:

BCEDA

I hope this helps!

HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°

Answers

the answers is c 78 degrees
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