What is three ratios equivalent to 3 to 4

If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?

san4es73 [151]

16x – 30 - (14x – 6) = 0
16x - 30 - 14x + 6 =0
2x - 24 =0
2x = 24
x = 12

3 0

3 years ago

Mia hired a moving company. The company charged \$500$500dollar sign, 500 for its services, and mia gives the movers a 16\%16%16

Ira Lisetskai [31]

Mia gives $80 as tip to the movers.

Explanation

The moving company charged $500 for its service.

Suppose, the amount of tip is $x$ dollar, which is 16% of the total charge.

So, the equation will be.....

$\frac{x}{500}*100\% = 16\%\\ \\ \frac{x}{5}=16\\ \\ x=5*16=80$

So, the amount of tip Mia gives the movers is $80

7 0

3 years ago

Read 2 more answers

The Function approximate the velocity (in feet per second) of an object dropped from a height of x feet

grin007 [14]

Answer:

The answer to the question is

It take for the golf ball hit on Mars to reach the ground 8.284 s longer.

Step-by-step explanation:

To Solve the question, we note that the equation of motion is given to us as

h = -1.9·t² + 26·t

Therefore the height

We compare the above equation with the equation of of motion

S = ut - 0.5×g×t² where u = initial velocity = 26 m/s and - 0.5×g = -1.9

Therefore the acceleration due to gravity om mars = -1.9/-0.5 = 3.8 m/s²

We now have the time taken to maximum height given by

v = u - g·t where v = 0 at maximum height

We therefore have u = g·t → 26 = 3.8×t or t = 26/3.8 = 6.84 seconds

The time taken for ball to hit the ground is 2 × the time to reach maximum height = 2 × 6.84 = 13.684 s

The time longer it takes for the ball on Mars to complete the path up to maximum height and down again is 13.684 s - 5.4 s = 8.284 s.

8 0

3 years ago

true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5.

Phoenix [80]

Answer:

point A (6,13) lies on the equation. True

given point B(21,33) lies on the equation. True

given point C (99, 137) lies on the equation. True

The equation that was given was y = 4/3x + 5

Now,check the given equation for the given points.

1) A (6,13)

Substitute x = 6 in the given equation y = 4/3x +5

y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13

y=13

the given point A (6,13) lies on the equation.

2) B (21,33)

Substitute x = 21 in the given equation y=4/3x+5

y=4/3(21) + 5 = 4(7) + 5=28+5=33

y = 33

the given point B(21,33) lies on the equation.

3) C (99, 137)

Substitute x = 99 in the given equation y = 4/3x + 5

y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137

y = 137

the given point C (99, 137) lies on the equation.

There is your answer

8 0

3 years ago

Find the midpoint of the segment with the following endpoints. (5,3) and (1,9)

OLEGan [10]

Answer:

(3, 6)

Step-by-step explanation:

If you create a mini graph, like I did, you would have seen that the middle point is at the co-ordinates (3,6). I have attached a image to this reply, with my "graph". (Sorry if its a little ugly, but that doesn't matter, the math does.)

8 0

3 years ago