Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

x =

Answer:

A. 1 and 5

D. 3 and 7

E. 4 and 8

9514 1404 393

Answer:

  KM = 4

Step-by-step explanation:

The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*

  KL +LM = KM

  (5x +1) +(3x +3) = 5x +4

  8x +4 = 5x +4 . . . .simplify

  3x = 0 . . . . . . . . . . subtract 5x+4

  x = 0 . . . . . . . . . . . divide by 3

Then the length of KM is ...

  KM = 5x +4 = 5·0 +4 = 0 +4

  KM = 4

_____

* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.

Answer:

Step-by-step explanation:

a is the answer

Answer:

A

IS YOUR ANSWER

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HAVE A GREAT DAY

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Answer:

Step-by-step explanation:

Step one:

given

A= 260ft^2

W= 2x + 4

B=8x + 2

Step two:

A=L*W

260=(2x+4)*(8x + 2)

open bracket

260=16x^24x+32x+8

16x^2+56x-252=0

Solving using quadratic formula

the roots are

x=-6.0

x= 2.6

Hence the value of x= 2.6ft

Answer:

0.325

Step-by-step explanation:

thats it

Answer:

0.325 kg

Step-by-step explanation:

You move the decimal point three places to the left, and end up with 0.325 kg.  :)

Answer:

boi we cany even see the questio  with yp andriod ahh camera

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

First find out how many beads cover 1 inch of the string which is 4 beads then multiply that number, 4, by the length of the string, 13. You should get 52.

Answer: 52

Part A

Why?

So for this question. You can write a ratio what will the balance be what information do they give you that you can register as a ratio? Well, what will the ratio be?

OK, THE WORK IS HERE!--v

So 12 beads are the ratio.

Now what do we want to know? Well, we want to know how to solve it.

1. 12b= __

3in= 13in <---------well-known way people use it to solve

--------------------------------------------------------------------------------------------------------------------------------

2. 12b divided by 12 = 1b

3in divided by 12= ____->ANSWER: 0.25 <----- Not that many people do it this way

for 2. solve-v

1b = ___ ANSWER: 52

0.25 13in 1 We can do this 13 divided by 0.25 which is 52

SO FOR PART A THE ANSWER IS 52

--------------------------------------------------------------------------------------------------------------------------------

ANSWER: Part B is __

Why?

-1in off here----------------------------1in off here-

And she wants to keep The middle part and we know this whole thing is 13 but the middle part = 11. Sooooooo...

1b = ___ANSWER 8

0.25 = 2in so now we can do this: 2 divided by 0.25 which we get 8

ANSWER FOR PART B IS 8

Answer:

Y= -3/2x-8

Step-by-step explanation:

Answer:

$46325 in total for the car

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

the answer is c I think, I'm sorry if it is wrong, but I'm pretty sure it's right

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a trick. Since it's y=4. there is no slope, the slope is 0

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the measure of the vertex angle ∠ABD of an isosceles triangle

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem

∠ABD=∠BAD= ----> the angles of the base are equals

Find the measure of the vertex angle

∠ABD= ------> the sum of the internal angles of a triangle is equal to

Step 2

Find the measure of the angle  ∠CBD in the equilateral triangle

we know that

A equilateral triangle has three  equal sides and three equal angles

The measure of the internal angle in a equilateral triangle is

so

∠CBD=

Step 3

Find the measure of the angle ∠ABC

∠ABC=∠ABD+∠DBC

substitute the values

∠ABC=

therefore

the answer is

the measure of the angle ∠ABC is

Answer:

Step-by-step explanation:

10.6_

Answer:

96/9  or  10   6/9  or  10     2/3

Step-by-step explanation:

Lets make common denominators first LCM(9,1)=9

8/1 x 9/9 = 72/9

24/9 + 72/9 = 96/9

Answer: 96/9  or  10   6/9  or  10     2/3

Hope this helps :D

Answer:

The water level is rising at the rate 0.238 cm per second

Step-by-step explanation:

Let the radius and height of water at time t be r and h respectively.

Height of cup =H= 8 cm

Radius of cup = R = 4 cm

By symmetry

[tex]\frac{r}{h}=\frac{4}{8} \\r=\frac{1}{2}h ---1[/tex]

Volume of water at time t , [tex]V= \frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{dV}{dt}=\frac{1}{3}\pi 2r \frac{dr}{dt} h+\frac{1}{3} \pi r^2 \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{3}\pi r (2 \frac{dr}{dt} h+ r \frac{dh}{dt})[/tex]

With 1

[tex]\frac{dr}{dt}=\frac{1}{2} \frac{dh}{dt}[/tex]

So,

[tex]\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) (2 (\frac{1}{2} \frac{dh}{dt}h)+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( \frac{dh}{dt}h+ r \frac{dh}{dt})\\\frac{dV}{dt}=\frac{1}{3}\pi (\frac{1}{2}h) ( h+\frac{1}{2}h) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi h(\frac{3h}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{6}\pi (\frac{3h^2}{2}) \frac{dh}{dt}\\\frac{dV}{dt}=\frac{1}{12}\pi 3h^2 \frac{dh}{dt}[/tex]

We are given that Water is poured into a conical paper cup at the rate of 3 cubic centimeters  (cm) per second (s).

We are supposed to find how fast the water level is rising at the instant the water is 4 cm deep.

So,[tex]\frac{1}{12}\pi 3(4)^2 \frac{dh}{dt}=3\\\frac{dh}{dt}=\frac{3 \times 12}{\pi 3(4)^2 }=0.238[/tex]

Hence the water level is rising at the rate 0.238 cm per second

The radius in terms of height is [tex]\mathbf{r =\frac 12h}[/tex], while the water level increases at 0.239 cm per second when the height is 4 cm

(a) Radius in terms of height

The given parameters are:

[tex]\mathbf{h = 8cm}[/tex] --- height

[tex]\mathbf{r = 4cm}[/tex] --- radius

The above parameters can be written as:

[tex]\mathbf{r :h =4cm : 8cm}[/tex]

[tex]\mathbf{r :h =4 : 8}[/tex]

Express as fractions

[tex]\mathbf{\frac rh =\frac 48}[/tex]

[tex]\mathbf{\frac rh =\frac 12}[/tex]

Multiply both sides by h

[tex]\mathbf{r =\frac 12h}[/tex]

(b) How fast the water is rising

The volume of a cone is:

[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]

Differentiate with respect to time

[tex]\mathbf{V' = \frac 13 \pi(2rh\ \frac{dr}{dt} + r^2\frac{dh}{dt})}[/tex]

When the water is 4cm deep, then the radius is 2cm using [tex]\mathbf{r =\frac 12h}[/tex]

So, we have:

[tex]\mathbf{V' = \frac 13 \pi(2 \times 2 \times 4\times \frac{dr}{dt} + 2^2\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(16 \frac{dr}{dt} + 4\frac{dh}{dt})}[/tex]

Also, we have:

[tex]\mathbf{r =\frac 12h}[/tex]

Differentiate with respect to time

[tex]\mathbf{\frac{dr}{dt} = \frac{1}{2}\frac{dh}{dt}}[/tex]

So, we have:

[tex]\mathbf{V' = \frac 13 \pi(16 \times \frac{1}{2}\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(8\frac{dh}{dt} + 4\frac{dh}{dt})}[/tex]

[tex]\mathbf{V' = \frac 13 \pi(12\frac{dh}{dt})}[/tex]

Expand

[tex]\mathbf{V' = 4\pi\frac{dh}{dt}}[/tex]

The volume increases at 3 cm^3 per second.

So, we have:

[tex]\mathbf{3 = 4\pi\frac{dh}{dt}}[/tex]

Divide both sides by 4

[tex]\mathbf{0.75 = \pi\frac{dh}{dt}}[/tex]

Divide both sides by pi

[tex]\mathbf{0.239 = \frac{dh}{dt}}[/tex]

Rewrite as:

[tex]\mathbf{\frac{dh}{dt} = 0.239}[/tex]

Hence, the water level increases at 0.239 cm per second when the height is 4 cm

Read more about volumes at:

https://brainly.com/question/1984638

The statement that describes the graph of the system of equations is:

C. The lines intersect at (1.6, 1.4).

Here, we have,

To determine the description of the graph of the system of equations:

1.5x + 0.2y = 2.68

1.6x + 0.3y = 2.98

We can start by comparing the slopes of the two lines.

The equations are in the form y = mx + b, where m represents the slope.

In the first equation, the slope is 0.2, and in the second equation, the slope is 0.3.

Since the slopes are different, we can conclude that the lines are not parallel (option A) or overlapping at all points (option B).

To determine the point of intersection, we can solve the system of equations.

By using any appropriate method, we find that the lines intersect at (1.6, 1.4) (option C).

Therefore, the statement that describes the graph of the system of equations is:

C. The lines intersect at (1.6, 1.4).

To learn more on equation click:

https://brainly.com/question/14468218

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Answer:

The Cheetah's initial speed is 19.4 miles per hour

Step-by-step explanation:

Since the Cheetah is initially running and then gradually increases its speed by 50.6 miles per hour to reach a top speed of 70 miles per hour, let the Cheetah's initial speed be u.

Also, let the increase in the Cheetah's speed be Δu and let v be the Cheetah's final speed.

Now, the final speed, v = initial speed, u + change in speed, Δu

So, v = u + Δu

So, the Cheetah's initial speed is u = v - Δu

Now, v = 70 mi/h and Δu = 50.6 mi/h

Substituting v and Δu into the equation, we have

u = v - Δu

u = 70 mi/h - 50.6 mi/h

u = 19.4 mi/h

So, the Cheetah's initial speed is 19.4 miles per hour

Answer:

6x+y=-8 because it will be y=-6x-8 having same slope with the line given

Answer:

its the second number to the right of the decimal

Answer:

two zeroes at the end and if it is a number like 2400 the hundreths place is the 400

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It has a slope of 1/3 and is the only one that passes through (3,2).

Answer:

thx

Step-by-step explanation:

Step-by-step explanation:

Here you go,

number 7 = 26

number 9 = 66

number 8 = 79

number 6 = 31

Answer:

y=2x+1

Step-by-step explanation:

if you start at 1 on the y axis and go up 2 and over 1, you get the start of the line

Answer:

Here you go sorry.

Step-by-step explanation:

Question 1.

y = 4x - 8 has a slope of 4. Since parallel lines have equal slopes, the slope of your new line will also be 4.

Now, you have a point (3,9) and a slope 4. Use the Point-Slope Form for the equation of a line.

y - y1 = m(x - x1)

y - 9 = 4(x - 3)

y - 9 = 4x - 12

y = 4x - 3

Question 2.

Since it is parallel, it must have the same slope.

y = (1/2)x + b

Find b from the given point.

4 = (1/2)(2) + b

b = 3

y = (1/2)x + 3

Answer: Number of children  = 168

Number of adults = 120

Step-by-step explanation:

Let x = Number of children and y = Number of adults

As per given,

x+y=288          (i)

2.25x+6.80y =1194       (ii)

Multiply 2.25 on both sides in (i)

2.25x+2.25y= 648       (iii)

Eliminate (iii) from (ii)

4.55y=546

[tex]\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120[/tex]

Put y= 120 in (i)

x+120=288

⇒ x=288-120

⇒ x= 168

Hence, Number of children  = 168

Number of adults = 120

Answer:

the answer is A

Step-by-step explanation:

hope this help