PLS HELP WILL MARK BRAINLIEST

Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?

Zanzabum

37.5 miles

divide 25 by 2, that gives you 12.5
multiply 12.5 by 3 to get 37.5

3 0

3 years ago

R/3=7 one-step equations: integers

gladu [14]

Answer:

r = 21

Step-by-step explanation:

The "one step" is to undo the division by 3. To undo that division, you multiply both sides of the equation by 3. this gives you ...

r·(3/3) = 7·3

r = 21

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The basic idea of any equation solution process is to "undo" what has been done to the variable. This is where the multiplication and addition identity elements come into play.

In this problem, the variable is multiplied by 1/3. The number that you multiply this by to get the identity element for multiplication (1) is the inverse of this fraction: 3/1, or 3. That is, 3 × 1/3 = 3/3 = 1. When 1 multiplies r, the result is just r, which is what you're trying to get to.

The rules of equality tell you that whatever you do to one side of an equation, you must also do to the other side. If you multiply r/3 by 3 on the left, then you must also multiply 7 by 3 on the right to keep the equation a true statement.

_____

<em>If the "one-step" involves addition ...</em>

If the equation had been ...

r + 3 = 7

Then the operation you need to "undo" is the addition of 3. That is accomplished by adding -3 to both sides of the equation. Then you have ...

r + 3 - 3 = 7 - 3

r + 0 = 4

r = 4

You will recognize 0 as the additive identity element: r + 0 = r. In order to get that (0) as a sum, you need to add opposites: +3 -3 = 0. Again, you have to do the same thing (add -3) to both sides of the equation in order to keep it true.

7 0

3 years ago

Two points are located on a rigid wheel that is rotating with an increasing angular velocity about a fixed axis. The axis is per

exis [7]

Answer:

Same angular velocity

Same angular acceleration

Point 1 has greater tangential speed

Point 1 has greater tangential acceleration

Point 1 has greater centripetal acceleration

Step-by-step explanation:

Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.

The tangential quantities, however, would depend on how far they are from the axis of rotation:

$v = \omega R$

$a_T = \alpha R$

$a_c = \omega^2 R$

where $\omega, \alpha$ are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.