4/7 (21/8x + 1/2) = -2 (1/7 - 5/28) write your solution in decimal form.

Which ordered pair is a solution of this equation

Travka [436]

Answer: just by looking at the graph, it looks like (-1, -2) is the ordered pair. But to be sure, just plug in the ordered pair

Step-by-step explanation:

6x - y = -4

6(-1) - (-2) = -4

-6 + 2 = -4

-4 = -4

4 0

3 years ago

A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin

alina1380 [7]

Answer:

Angular velocity: $\omega = \frac{7\pi}{18} \,\frac{rad}{s}$ ( $1.222\,\frac{rad}{s}$ )

Linear velocity: $v = \frac{14\pi}{3}\,\frac{m}{s}$ ( $14.661\,\frac{m}{s}$ )

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular ( $\omega$ ), in radians per second, and linear velocities ( $v$ ), in inches per second, of a point on the outer edge of the element are, respectively:

$\omega = \frac{2\pi}{60}\cdot \dot n$ (1)

$v = R\cdot \omega$ (2)

Where:

$\dot n$ - Rotation rate, in revolutions per minute.

$R$ - Radius of the gear, in inches.

If we know that $\dot n = \frac{35}{3}\,\frac{rev}{min}$ and $R = 12\,in$ , then the linear and angular velocities of the gear are, respectively:

$\omega = \frac{2\pi}{60}\cdot \dot n$

$\omega = \frac{7\pi}{18} \,\frac{rad}{s}$ ( $1.222\,\frac{rad}{s}$ )

$v = R\cdot \omega$

$v = \frac{14\pi}{3}\,\frac{m}{s}$ ( $14.661\,\frac{m}{s}$ )

7 0

2 years ago

What is the probability that when you spin the spinner it will land on a<br> prime number?

Ludmilka [50]

Answer:

1/2

Step-by-step explanation:

prime numbers are 2,3,5, and 7

4/8 which is 1/2

4 0

3 years ago

To show how the distributive property can be used with numbers only, I wrote the expression 2·99 = 2(100 – 1). If I wanted to re

MaRussiya [10]

Im not sure what x is supposed to be in the given example. If its x = 99

then the expression would be 2.102 = 2(103 - 1).

6 0

2 years ago

NFL quarterback Patrick mahomes threw a pass that clocked 62mph. How fast is this in yards per second?

konstantin123 [22]

Answer:

The speed of the pass that clocked is 30.31 yards per seconds

Step-by-step explanation:

Given as :

The speed of the pass = 62 miles per hour

Let The speed in yards per second = x yps

So, ∵ The speed = 62 miles per hour

Or, The speed = $\dfrac{\textrm 62 miles}{\textrm 1 hour}$

or, The speed = $\dfrac{\textrm 62 miles}{\textrm 3600 secons}$

∵ In 1 hour = 3600 seconds

So, The speed = 0.0172 miles per second

Now, Again

Since 1 mile = 1760 yards

So, 62 miles = 1760 × 62 = 109,120 yards

∴ The speed in yard per second = $\dfrac{\textrm 109,120 yard}{\textrm 3600 seconds}$

I.e The speed in yards per second = 30.31 yards per seconds

Hence The speed of the pass that clocked is 30.31 yards per seconds Answer

8 0

3 years ago