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worty [1.4K]
3 years ago
11

What is 1/4x+5=4 ??

Mathematics
2 answers:
iVinArrow [24]3 years ago
4 0

Answer:

Depends on what you mean by 1/4x (see below)

Step-by-step explanation:

For 1/4(x)

1/4x+5 = 4 -> subtract 5 from both sides

1/4x = -1 -> multiply both sides by 4

x = -4

OR

For 1/(4x)

1/4x+5 = 4 -> subtract 5 from both sides

1/4x = -1 -> cross multiply (-1 = -1/1)

-4x = 1 -> divide both sides by -4

x = -1/4

velikii [3]3 years ago
3 0
Here is the solution for your equation-

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
4 years ago
Anthony works at a clothing store and gets a 15% employee discount.If he purchase p pants and s shirts his total can be found us
IgorC [24]

Answer:

$192.95

Step-by-step explanation:

$35 x 4 pants = $140

$14.50 x 6 shirts = $87

140 + 87 = $227

227(15%) = $34.05

227 - 34.05 = $192.95

4 0
3 years ago
How do you solve 5x - 5y = ?
Softa [21]

Answer:

X=Y

Step-by-step explanation:

5x-5Y=

  +5y=5y

5x=5y

divide both sides by 5

x=y

8 0
3 years ago
Segments
Ipatiy [6.2K]

There are several ways two triangles can be congruent.

  • \mathbf{AC = BD}<em> congruent by SAS</em>
  • \mathbf{\angle ABC \cong \angle BAD}<em> congruent by corresponding theorem</em>

In \mathbf{\triangle AOL} and \mathbf{\triangle BOK} (see attachment), we have the following observations

1.\ \mathbf{AO = DO} --- Because O is the midpoint of line segment AD

2.\ \mathbf{BO = CO} --- Because O is the midpoint of line segment BC

3.\ \mathbf{\angle AOB =\angle COD} ---- Because vertical angles are congruent

4.\ \mathbf{\angle AOC =\angle BOD} ---- Because vertical angles are congruent

Using the SAS (<em>side-angle-side</em>) postulate, we have:

\mathbf{AC = BD}

Using corresponding theorem,

\mathbf{\angle ABC \cong \angle BAD} ---- i.e. both triangles are congruent

The above congruence equation is true because:

  1. <em>2 sides of both triangles are congruent</em>
  2. <em>1 angle each of both triangles is equal</em>
  3. <em>Corresponding angles are equal</em>

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0
3 years ago
Which statement describes the transformation that would map triangle M to triangle N on this grid
wariber [46]

Answer:

i believe the answer would be B

Step-by-step explanation:

8 0
3 years ago
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