All categories

3 years ago

Solve for x. 5x – 4 > 12 OR 12x+5 < -4

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

x < -3/4 OR x>16/5

Step-by-step explanation:

5x – 4 > 12 OR 12x+5 < -4

Solve the parts separately and then put back together

5x – 4 > 12

Add 4 to each side

5x-4+4>12+4

5x >16

Divide each side by 5

5x/5>16/5

x > 16/5

12x+5 < -4

Subtract 5 from each side

12x+5-5<-4-5

12x<-9

Divide each side by 12

12x<-9/12

x <-3/4

Put back together

x < -3/4 OR x>16/5

You might be interested in

What is t÷5-4=9 what is t ??

Sophie [7]

Add 4 to boh sides
t/5+4-4=9+4
t/5+0=13
t/5=13
times 5/1 both sides
5t/5=5*13
1t=65

t=65

7 0

3 years ago

Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz

klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0

3 years ago

Read 2 more answers

Solve for m<br> 3/5m = -15

Mice21 [21]

Answer:

- 25

Step-by-step explanation:

Step 1:

3/5m = - 15 Equation

Step 2:

m = - 15 ÷ 3/5 Divide

Step 3:

m = - 15/1 × 5/3 Multiply

Answer:

m = - 25

Hope This Helps :)

7 0

4 years ago

Read 2 more answers

If 3 pounds of apples cost $3.85, how much will 18<br> pounds of apples cost?

Mekhanik [1.2K]

Answer: $23.10

Step-by-step explanation:

18/3 = 6

3.85 x 6 = $23.10

8 0

3 years ago

What are the ordered pairs of the

OlgaM077 [116]

Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

$x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0$

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

x = 2 and x = -1

Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:

when x = 2 then $y=-(2)+5=3$

when x= -1 then $y=-(-1)+5=6$

Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

6 0

3 years ago