For this you will need to calculate the number of sweaters - 7x. Then you need to calculate the number of shirts - 9y. Last you need to calculate the number of pants - 12z. To balance the equation, you must calculate the total price $172+$269+$74 = $515. The equation is 7x+9y+12z = $515.
Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (
), measured in inches per second, is:

Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:


The speed of the bike is: (
and
)


Lastly, the outcome is converted into miles per hour:


The linear speed of the bike is 19.242 miles per hour.
mixed number: 4 7/8 simplest form: (THERE IS NONE)
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
Balance after 37 months= Px(1+0.03)^37