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3 years ago

4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.

2 answers:

6 0

First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11
Fourth, 15+-20= -5
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16
Last, do 8x/8x and 16/8x
The answer is x=2

amid [387]3 years ago

3 0

8x-20+15=11
8x+15=11+20
8x+15=31
8x=31-15
8x=16
X=2

First, add 20 to both sides
Simplify
Subtract 15 from both sides
Simplify
Divide 8 from both sides
Simplify

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3. Describe the solution to the equation.

Law Incorporation [45]

I don’t really know? What grade is this?

4 0

3 years ago

Help!! Please and thank you!

Alex777 [14]

It is clear that T lies on the perpendicular bisector of NP. See the explanation below.

<h3>What is the explanation for the assertion above?</h3>

Given that M (X,Y) is the midpoint of NP

X thus = (5+1)/2

= 3

Y = (7+1)/2

= 4

Hence, we have M (3,4)

Consequent on the above:

Slope TM (m') = (4-2) / (3-6) = - 2/3

Slope of NP (m) = (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m

Hence

TM ⊥ NP; and NP ⊥ TM

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
#SPJ1

6 0

3 years ago

Erin Lytle's gross pay is $26,300. She takes a married exemption of $4,000. Her state income tax rate is 5.5%. How much will she

Stells [14]

Given

Erin Lytle's gross pay is $26,300

She takes a married exemption of $4,000

state income tax rate is 5.5%

Find out she pay in state income tax

To proof

Gross pay = $26,300

married exemption = $4,000

Let the she pay in state income tax = x

5.5 % written in the simpler form

= $\frac{5.5}{100}$

= 0 .055

than the equation becomes

x = 0.055 ( 26300 - 4000)

x = 0.055× 22300

x = $1226.5

Erin Lytle pay in state income tax is $ 1226.5

Hence proved

7 0

3 years ago

Read 2 more answers

A 10 inch cookie cake is divided into 8 slices. What is the area of 3 slices

brilliants [131]

Answer:

The area of 3 slices is $\frac{75}{8}\pi\ in^2$ or approximate $29.4\ in^2$

Step-by-step explanation:

<em>Find out the area of the cookie cake</em>

The area of the circle (cookie cake) is

$A=\pi r^{2}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

substitute

$A=\pi (5)^{2}$

$A=25\pi\ in^{2}$

Remember that the area of the complete cookie cake subtends a central angle of 360 degrees

If the cake is divided into 8 slices

then

The central angle of each slice is equal to

360/8=45°

The central angle of 3 slices is equal to

3(45°)=135°

By proportion

Find out the area of 3 slices

Let

x ----> the area of 3 slices

$\frac{25\pi}{360}=\frac{x}{135}\\\\x=25\pi(135)/360\\\\x=\frac{3,375}{360}\pi\ in^2$

Simplify

$\frac{75}{8}\pi\ in^2$ ----> exact value of the area of 3 slices

Find out the approximate value of the area of 3 slices

assume

$\pi =3.14$

substitute

$\frac{75}{8}(3.14)=29.4\ in^2$

5 0

4 years ago

Simplify the following leaving your answer in positive index<br><br> 1) (x/y)^-4 x (y/x)^8

Basile [38]

Answer:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12$

Step-by-step explanation:

Given

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$

Required

Determine the solution to this

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$

In law of incides:

$\frac{a}{b} = \frac{b}{a}^{-1}$

This implies that:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8$ is equivalent to:

$(\frac{y}{x})^{-(-4)} * (\frac{y}{x})^8$

$(\frac{y}{x})^{4} * (\frac{y}{x})^8$

Apply first law of indices:

$(\frac{y}{x})^{4+8$

$(\frac{y}{x})^{12$

Hence:

$(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12$

5 0

3 years ago