1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andreyandreev [35.5K]
3 years ago
14

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

Studio A: Membership: $24.00 Monthly Fee: 21.50. Yoga Studio B: Membership: $41.00 Monthly Fee: $17.25
Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let  x  equal the number of months of membership, and  y  equal the total cost.

Club A's is  y = 24x + 21.50 and Club B's is  y = 17.25 x + 41.00 Because we know that the prices,  y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for  x  by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

You might be interested in
two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are the
bonufazy [111]

Let present age of women be x.

Then,Present age of her daughter be y.

According to the question,

<u>Two years ago,</u>

Woman age = x - 2

Her daughter age = y - 2

Woman was 7 times old as her daughter. [ Given ]

x - 2 = 7 ( y - 2 )

=> x - 2 = 7y - 14

=> x - 2 + 14 = 7y

=> x + 12 = 7y ....( i )

<u>A</u><u>f</u><u>t</u><u>e</u><u>r</u><u> </u><u>Three years </u>,

Woman age = x + 3

Her daughter age = y + 3

she would be 4 times old as the girl. [ Given ]

x + 3 = 4 ( y + 3 )

=> x + 3 = 4y + 12

=> x = 4y + 12 - 3

=> x = 4y + 9....( ii (

Now,

★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get

x + 12 = 7y

=> 4y + 9 + 12 = 7y

=> 21 = 7y - 4y

=> 21 = 3y

=> 3y = 21

=> y = 21/3

=> y = 7

And,

x = 4y + 9

★ Putting the value of y in equation ( ii ), we get

x = 4 × 7 + 9

x = 28 + 9

x = 37

Hence, the present age of women is 37 years and her daughter age is 7.

8 0
2 years ago
Suppose u=&lt;2,−1&gt; and v=&lt;1,−8&gt; are two vectors that form the sides of a parallelogram. Then the lengths of the two di
tigry1 [53]
| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
 (2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
8 0
3 years ago
Compare the decimals &lt;, &gt;, or = 0.73 ___ 0.7300
GalinKa [24]
The decimals are equal.
8 0
3 years ago
Read 2 more answers
Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati
alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance    :     Tanks

     49        :         7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance    :     Tanks

    \frac{49}{7}           :         \frac{7}{7}

    7            :         1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.  

8 0
3 years ago
4z-(-3z) can you help me​
Korvikt [17]

Answer:

7z

Step-by-step explanation:

4z-(-3z).

Two negatives equal a positive only <u>when they are right next to each other.</u>

4z+3z=7z. Hope this helps :D

8 0
2 years ago
Other questions:
  • London planes to repaint some classroom bookcases. She has 4 3/5 gallons of paint. All of the bookcases are the same the same an
    12·1 answer
  • Need to know NOW!!!!!! 15 points!
    12·1 answer
  • On a certain​ route, an airline carries 5000 passengers per​ month, each paying ​$60. A market survey indicates that for each​ $
    5·1 answer
  • How do you find area like in this question I know already it’s d though I just need help figuring this out?
    14·2 answers
  • Joshua and his four friends each have 1/2 package of crackers. HOW many packages of crackers do they have in all
    12·2 answers
  • Raul deposited 3,000 into a bank account that earned simple interest each year after 3.5 years he had earned 262.50 in interest.
    9·1 answer
  • There are red, blue and green counters in a bag in the ratio 2:5:3
    14·1 answer
  • When do you first start to see a moderate amount
    13·1 answer
  • Solve the polynomial equation by factoring. <br> 3x^4+11^3-4x^2=0
    8·2 answers
  • Angle 3 and angle 4 are supplementary. Angle 3 equals 5x + 15 and angle 4 equals 10x. What does x equal
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!