Answer:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$
Hopefully this helps you
pls mark brainlest
The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:

Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet


Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:

Thus angular velocity is 16 radians per second
Answer:
x=12 and y=31
Step-by-step explanation:
First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:
5x - 7 = 3x + 17
Add 7 to each side:
5x = 3x + 24
Subtract 3x from both sides:
2x = 24
Divide each side by 2:
x = 12
Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:
5x - 7 + 4y + 3 = 180
Substitute 12 in for x to solve for y:
5 ( 12 ) - 7 + 4y + 3 = 180
60 - 7 + 4y + 3 = 180
combine like terms:
( 60 + ( -7 ) + 3 ) + 4y = 180
56 + 4y = 180
Subtract 56 from each side:
4y = 124
Divide each side by 4:
y = 31
I always like to start by removing the absolute value signs. Solving the two equations, -x+4 = 2x-2 we get 6 = 3x, x = 2
If we test ±2 we get the following:
x = 2; | -(2) + 4 | = | 2(2) - 2 |, | 2 | = | 2 |, 2 = 2
Now we test
X = -2; | -(-2) + 4 | = | 2(-2) - 2 |, | 6 | = | -6 |, 6 = 6
Both +2 and -2 work.
Answer:
X would have to equal more than 5
Step-by-step explanation:
When the open part of the thingy, the <, is facing the 3x, it means that its bigger than the 15, and 3*5 is 15, x has to equal more than 5