THE LENTH OF A RECTANGLE IS 6 CM AND ITS AREA IS (6XPLUS18) SQUARCM WRITE A EXPPRESIONFOR THE WIDTH

Answers

Answer 1

[tex]\textit{area of a rectangle}\\\\ A=Lw ~\begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{cm}{6}\\ A=\stackrel{cm^2}{6x+18} \end{cases}\implies 6x+18=6w \\\\\\ \cfrac{6x+18}{6}=w\implies \cfrac{6x}{6}+\cfrac{18}{6}=w\implies x+3=w[/tex]


Related Questions

Multiply: x^1/6(x^1/6+x^3/4)

Answers

[tex]x^{\tfrac 16} \left(x^{\tfrac 16} + x^{\tfrac 34} \right)\\\\\\=x^{\tfrac 16} \cdot x^{\tfrac 16} + x^{\tfrac 16} \cdot x^{\tfrac 34}\\\\\\=x^{\left(\tfrac 16 + \tfrac 16\right)} + x^{\left(\tfrac 16 +\tfrac 34\right)}\\\\\\=x^{\tfrac 26} + x^{\tfrac {11}{12}}\\\\\\=x^{\tfrac 13} +x^{\tfrac{11}{12}}[/tex]


Help pls ASAP
SOLVING QUADRATIC EQUATIONS BY FACTORING

Answers

Answer:

Down, Down, Right, Right, diagonal left, up, right

Step-by-step explanation:

Not gonna do every equation here tho lol

7. at + b = ar – c
Solve for a

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkk

when is a supplier standards form required to be provided to the beneficiary cvs

Answers

Answer:

AOB forms must be collected every time a beneficiary fills a Medicare part b prescription

Solve the following proportions for v V/5=13/17

Answers

Answer:

v=3 14/17,v=3.8235294117647058

Explanation:

v/5=13/17simplify the equation using cross multiplication

17v=65Divide both sides of the equation by 17

Pick me as brainliest like my answer follow me please

!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?

Answers

Answer: 2135

step by step explanation:

I don't really think this is necessary

Help
This is a a or b question

Answers

Answer:

A. (A) Yes

B. (A) Yes

C. (B) No

Step-by-step explanation:

A is Categorical because it is not based on numbers.

B is Categorical because it is not based on numbers.

C is Not Categorical because it is based on numbers.


[tex]6 \times 2[/tex]
please I need ur help​

Answers

Answer:

12

Step-by-step explanation:

You do 6+6, or 2+2+2+2+2+2=12

Answer: 12

Just add 6, 2 times so 6, 12
Or add 2, 6 times so 2,4,6,8,10,12

Which expression is equivalent to w • 35?

Answers

Answer:W= B-3 or 3=B-W

Step-by-step explanation:

The answer would be equal to W=b-3 +W=b

Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event

Answers

Answer:

half-class

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

Event = Girl

Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.

# of possible outcomes = 14

There are 6 girls in the class and thus there are 6 favorable outcomes.

# of favorable outcomes = 6

The probability is the number of favorable outcomes divided by the number of possible outcomes.

P(Girl) = # of favorable outcomes

            # of possible outcomes

= [tex]\frac{6}{14}[/tex]

= [tex]\frac{3}{7}[/tex]

≈ 0.4286

= 42.86%

Result

[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%

what is 12-(-3)-2(4)

Answers

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

15-8=7

12- (-3) - 2(4) = 12 + 3 - 8 = 7
Ok done. Thank to me :>

Help help math please I’m stuck help help help

Answers

Answer:

12x

Step-by-step explanation:

I am not really sure how to explain it I just looked it up

Can you guys please help!!!!! I need to know what 13x4=nx26 means???!!!!????

Answers

Answer:

n = 34/13

Step-by-step explanation:

13 x 4 = n x 26

=> 68 = 26n

=> n = 68/26

=> n = 34/13

Therefore, n = 34/13

Hoped this helped.

[tex]GeniusUser[/tex]

Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *

Answers

If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.

Extended Problems, Extraneous Solutions
I need help asap please, this is due in 1 day!
100 POINTS

Answers

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

[tex](x + 2 = \sqrt{3x + 10} [/tex]

Square both sides

[tex](x + 2) {}^{2} = 3x + 10[/tex]

Remeber perfect square Rule

[tex](x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]

So now we got

[tex]x {}^{2} + 4x + 4 = 3x + 10[/tex]

[tex] {x}^{2} + x + 4 = 10[/tex]

[tex] {x}^{2} + x - 6 = 0[/tex]

Factor into binomial.

[tex](x + 3)(x - 2) = 0[/tex]

So our solution is 3 or 2. However, let's check our work.

[tex] - 3 + 2 = \sqrt{3( - 3) + 10} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

[tex]2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4[/tex]

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

Pls answer and give explanation will give brainiest

Answers

Answer:

I don't know

Step-by-step explanation:

Answer:

11/18

Explanation:

Find the LCM

6 × 3 = 18

9 × 2 = 18

Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.

[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]

[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]

Now subtract.

[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]

a bike cost 129.90 what is your total with a tax of 5%

Answers

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

Mai skated x miles, and Clare skated 2 times farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).

Answers

Y=x2

Y=the answer
X= Mai skated
X2= Mai’s distance times 2 equals Clare’s distance

Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second recipe calls for 1 teaspoon of salt in 2 cups of water. Which recipe will taste saltier?

Answers

Answer:

The first recipe - 3/4 tsp of salt in 1 cup of water

Step-by-step explanation:

1st recipe Salt per cup = 3/4 tsp / 1 cup = 3/4 tsp salt

2nd recipe Salt per cup = 1 tsp / 2 cups = 1/2 tsp salt

3/4 tsp > 1/2 tsp, hence the first recipe is saltier

Quadratic functions 30pt

Answers

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2

Slope of line segment

= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)

= \frac{4 + 8}{5 + 7}=5+74+8

= \frac{12}{12}=1212

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)

Midpoint of line segment

= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)

= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?

A. 12

B. 31

C. 40

D. 60

Answers

The answer to this question is A. 12

The most no. of tickets sold is 60.

What is bar graph?

The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.

Given  the graph between total student and number of ticket sold,

where students shown in Y axis and tickets sold in X axis,

as Shown in graph maximum number of tickets sold are 51 to 60

Hence the maximum number of ticket sold is 60.

Learn more about bar graph;

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2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed. ​

Answers

Answer:

hello which grade question i

I need helpnwith this problem.

Answers

That’s a 90 degree rotation I believe!

Please help! photo is attached with the problem.

Answers

I can’t read it sorry

A random variables X and Y are distributed according to the joint PDF. The value of constant a = _______.f(x,y)=ax if 1<=1x<=y<=2 and 0 otherwise

Answers

Answer:    3/2

======================================================

Explanation:

PDF = probability density function

The given joint PDF is

[tex]f(x,y) = \begin{cases}ax \ \ \ \text{ if } 1 \le x \le y \le 2\\0 \ \ \ \ \ \text{ otherwise}\end{cases}[/tex]

Let's focus on the [tex]1 \le x \le y \le 2[/tex]. Specifically the x term for now. Erasing out the y term, we have the inequality [tex]1 \le x \le 2[/tex] which says x is between 1 and 2, inclusive. We have almost the same story for y, but there's another condition attached to it: y must also be equal to or larger than x.

So let's say x = 1.5. This would mean [tex]1.5 \le y \le 2[/tex]. As another example, x = 1.7  leads to [tex]1.7 \le y \le 2[/tex]. In general, we would say [tex]x \le y \le 2[/tex] where x is between 1 and 2.

As x gets bigger, the range of possible y values gets smaller. If x = 2, then y has no choice but to be 2 as well.

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

Based on that, we'll have a double integral that looks like this:

[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\[/tex]

The outer integral handles the x terms that range from 1 to 2, describing [tex]1 \le x \le 2[/tex]. Note the dx on the outside. The order of the dy and dx matters.

On the inside, we have the integral for dy ranging from x to 2 to describe the interval [tex]x \le y \le 2[/tex]

To have f(x,y) be a PDF, the volume under the f(x,y) surface must be 1, where the volume is based on the bounds set up. So we must have V = 1. We'll use this later.

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

Let's simplify the double integral.

We'll start by computing the inner integral with respect to y.

[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\\displaystyle V = \int_{1}^{2}\int_{x}^{2}\left(ax\right)dydx\\\\\displaystyle V = \int_{1}^{2}\left(axy\Bigg|_{x}^{2}\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(ax(2) - ax(x)\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\[/tex]

Then we'll finish it off by integrating with respect to x.

[tex]\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\\displaystyle V = \left(ax^2 - \frac{1}{3}ax^3\right)\Bigg|_{1}^{2}\\\\\displaystyle V = \left(a(2)^2 - \frac{1}{3}a(2)^3\right) - \left(a(1)^2 - \frac{1}{3}a(1)^3\right)\\\\\displaystyle V = \left(4a - \frac{8}{3}a\right)-\left(a - \frac{1}{3}a\right)\\\\[/tex]

[tex]\displaystyle V = 4a - \frac{8}{3}a-a + \frac{1}{3}a\\\\\displaystyle V = 3a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9}{3}a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9-8+1}{3}a\\\\\displaystyle V = \frac{2}{3}a\\\\[/tex]

Side note: We don't have to worry about the "plus C" integration constant when working with definite integrals.

Recall that V = 1. So,

[tex]\displaystyle V = \frac{2}{3}a\\\\\displaystyle \frac{2}{3}a = 1\\\\\displaystyle a = \frac{3}{2} = 1.5\\\\[/tex]

a = 3/2 is the final answer.

3. Write an equation in slope-intercept form for the line with a slope of 5/4 and a
y-intercept of 2.

Answers

Answer:

y = [tex]\frac{5}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{4}[/tex] and c = 2 , then

y = [tex]\frac{5}{4}[/tex] x + 2 ← equation of line


A house on the market was valued at $233,000. After several years, the value decreased by 15%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:

Current house value:

Answers

Answer:

decrease: $34,950current value: $198,050

Step-by-step explanation:

The decrease in value is ...

  15% of $233,000 = $34,950

The current house value is ...

  $233,000 -34,950 = $198,050

−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8

Answers

Step-by-step explanation:

several possibilities to solve this.

let's start with subtracting the second equation from the first

-x + 2y - z = 0

- -x - y +2z = 0

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

0 3y - 3z = 0

y - z = 0

y = z

now we use this in e.g. the first equation :

-x + 2z - z = 0

-x + z = 0

z = x (therefore, also x = y)

now we use this in the third equation :

2x - x = 8

x = 8 = y = z

The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?

Answers

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100

A train travels from point A to B at a speed of 100km/h. how long it will take to travel 25 km

Answers

Answer:

Step-by-step explanation:

25 km / 100 km/hr = 0.25 hr or 15 minutes

It will take 0.25 hours to travel 25 km.

Given

A train travels from point A to B at a speed of 100km/h.

Distance;

Distance is defined as the product of speed and time.

The following formula is used to calculate the time;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]

Hence, it will take 0.25 hours to travel 25 km.

To know more about distance click the link given below.

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