The area of the trapezoid

A linear equation is an equation in which each term has at max one degree. The correct option is B.

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Since the equation is in the form of a linear equation it can be concluded that the model is linear.

Comparing the equation with a linear equation,

t = 350 + 700m

y = C + mx

The slope of the equation is 700, while the y-intercept is 300.

Hence, the correct option is B.

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Answer:

7/4

Step-by-step explanation:

up seven, right four

7/4. Go up seven, right 4

Answer: wads

Step-by-step explanation:wasd

Answer:

Is that equation typed correctly?

For one thing, that second term should (probably) be 8x^2.

Step-by-step explanation:

Answer:

It will look like a graph with a slope of 4 and a y intercept of -8

Step-by-step explanation:

Just rearrange the variables

Answer:

Step-by-step explanation:

If the question mentions a graph, you'll need to share that graph.

Here's one good procedure for graphing -4x + y = 8:

Find the y-intercept:  Let x = 0 and solve for y.  We get (0, 8).  Plot this.

Find the x-int.  Let y = 0 and solve for x.  We get (-2, 0).  Plot this.

Then draw a straight line through these two points.

Answer:

The volume of the cylinder is 63π or 197.9 units³

Step-by-step explanation:

* Lets revise how to find the volume of any cylinder

- The volume of the regular solid = area of the base × its height

- The cylinder has two circular bases

- The area of the circle = πr²

∴ The volume of the cylinder = πr² × its height

* Now lets take the dimensions of the cylinder from the problem

- The height of the cylinder is 7 units

- The radius of the cylinder is 3 units

∵ The volume of the cylinder = πr² × its height

∴ The volume = π × 3² × 7 = 63π = 197.9 units³

* The volume of the cylinder is 63π or 197.9 units³

Answer:

The volume of cylinder =197.82 units²

Step-by-step explanation:

Formula:-

Volume of cylinder =  πr²h

Where r - Radius of cylinder and

h - Height of cylinder

To find the volume of cylinder

Here r = 3 units and h = 7 units

Volume = πr²h

 = 3.14  * 3² * 7

 = 3.14 * 9 * 7

 = 197.82 units²

Therefore the volume of cylinder =197.82 units²

Answer:

120

Step-by-step explanation:

We need the formula of combination:

nCr = [tex]\frac{n!}{(n-r)!*r!}[/tex]

Also we need to understand "factorial" notation, which is the "!" mark. For example, 5! means 5 * 4 * 3 * 2 * 1, and

4! would mean 4 * 3 * 2 * 1

Now we can find out 16C14 by plugging it into the formula and doing the steps shown below:

[tex]nCr=\frac{n!}{(n-r)!*r!}\\16C14=\frac{16!}{(16-14)!*14!}\\=\frac{16!}{2!*14!}\\=\frac{16*15*14!}{(2*1)*14!}\\=\frac{16*15}{2}\\=120[/tex]

Answer:

x = 8.5

L = 17

W = 6.5

Step-by-step explanation:

P = 2*(L + W)

W = x - 2

L = 2x

P = 47

47 = 2 * (2x + x - 2)

47 = 2 * (3x - 2)          Remove the brackets.

47 = 6x - 4                 Add 4 to both sides.

47 + 4 = 6x - 4+4       Combine

51 = 6x                       Divide by 6

6x/6=51/6                  Combine

x = 8 3/6 or 8.5

x = 8.5

========

L = 2*x

L = 2*8.5

L = 17

=====

W = x - 2

W = 8.5 - 2

W = 6.5

Answer:

x=8.5, length is 17, and width is 6.5

Step-by-step explanation:

To solve for x, you would add the two sides together, getting x-2+2x+3x-2. Now, you would multiply this figure by two, because you only have half of the perimeter as of now. (3x-2)*2+6x-4. Now, because the perimeter is 47, you have this equation

6x-4=47

Add four to both sides

6x=51

Divide by 6

x=51/6=8.5

Now, you would plug this into both of the other sides of the rectangle.

The length, or the longest side, measures 2x

2*8.5=17

The width, or the shorter side, measures x-2

8.5-2=6.5

Hope this helped

$18.51 would be the correct answer!

Answer:

2.09 sq. units

Step-by-step explanation:

We can simply use the formula for area of a sector of a circle.

Area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where  [tex]\theta[/tex] is the angle and r is the radius.

It is given that the angle is 15 and radius is 4. We plug them in and find the area:

[tex]\frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09[/tex]

Thus area of sector is 2.09  sq. units.

Answer:

2pi/6

Step-by-step explanation:

If you convert the degrees to radians (15 degrees theta) you get:

15/1 * pi/180 --> =15pi/180 then you multiply by the radius --> 15pi/180 *4/1

this gives you 60pi/180 (don't forget to reduce) =2pi/6

(Sorry this is so confusingly written out. I wish I could have just shown you on paper but just remember that all of the "/" mean a fraction! :) )

Answer:

3,500

Step-by-step explanation:

70% is equal to 0.70.

When you need to find a percent of a population, you multiply the decimal form to the population.

Therefore, with 70% of 5000, you multuiply 5000 by 0.70 which will give you 3500.

3,500 students would select roller coasters as their favorite ride.

The answer to this question would be 3,500 students.

The Value of Pi is actually an infinite number and cannot be calculated. It is not a real number. Usually many just shorten Pi to the decimal 3.14, which it is most commonly used as since there is no exact decimal of Pi.

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398315019701651511685171437657618351556508849099898599823873455283316355076479185358932261854896321329330898570642046752590709154814165498594616371802709819943099244889575712828905923233260972997120844335732654893823911932597463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100449293215160842444859637669838952286847831235526582131449576857262433441893039686426243410773226978028073189154411010446823252716201052652272111660396

Pi is 3.14, and is an irrational number, meaning that it does not end and has no repetition of numbers in a row.

The area of the circle is calculated by multiplying pi by the radius.

3.14 * 10 = 314.16.

To round it to the nearest tenth, you must know whether the second decimal number is greater or less than 5. If it is 5 or greater, you round the first decimal up 1. If it is 4 or less, then you just remove the second decimal and keep the first one.

In this case, the answer would be approximately 314.2 because 6 is greater than 5, so you round up the 1 to a 2.

Answer:

The x intercept is where Adam made 0 commission for x number of sales.

Step-by-step explanation:

The x intercept is where the line crosses the x axis. It has a point (a,0) where y=0. In this model y is Adams total commission and x is his total sales. The x intercept is where Adam made 0 commission for x number of sales.

The answer is : 270 seats

Multiply 18*15

18*15

=270

Answer: 270 seats

Answer:

p - 2

Step-by-step explanation:

"2 less than a number" would be n - 2.  "Less than" implies subtraction.  We are subtracting 2 from the unknown number n.

Answer:

p-2

Step-by-step explanation:

the sales tax is close to 217.94

Answer:17.9955

Step-by-step explanation:

199.95 * 0.09 = 17.9955

when ever you want to work out a % just multiple it by the % in decimal ie 10% = 0.1, 100% = 1.0, 9% =0.09

OR

if you want to work out what 9% is added on top of the price to total 199.95 you can you this

A1= gross amount

B1 = tax percentage

(A1/(100+B1)*100) = 183.440367 before the tax is added so the total tax at 9% = 16.509633

Answer:

7

Let's solve your equation step-by-step.

5x−7+2−2x=−26

Step 1: Simplify both sides of the equation.

5x−7+2−2x=−26

5x+−7+2+−2x=−26

(5x+−2x)+(−7+2)=−26(Combine Like Terms)

3x+−5=−26

3x−5=−26

Step 2: Add 5 to both sides.

3x−5+5=−26+5

3x=−21

Step 3: Divide both sides by 3.

3x

3

=

−21

3

x=−7

Answer:

x=−7

Answer:

the solution is x = -7

Step-by-step explanation:

Collect terms:

x(5 -2) +(-7 +2) = -26

3x -5 = -26

Add 5 to get the variable term by itself:

3x = -21

Divide by the coefficient of the variable:

x = -7

____

The answer to, "what is it?" is that it is a linear equation in x. After you collect terms, it is what is referred to as a "two-step" linear equation, because it takes two steps to solve it: add 5, divide by 3.

2* radius* pie

Step-by-step explanation:

first you times 2 by the radius, then you times that answer by 3.14.

hoped this helped a little

Answer:

(x + 3)(x + 7)

Step-by-step explanation:

Given

x² + 10x + 21

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (+ 10)

The factors are + 3 and + 7, since

3 × 7 = 21 and 3 + 7 = 10, hence

x² + 10x + 21 = (x + 3)(x + 7)

31-3x+19x-5=90

26+16x=90

-26 -26

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

16x= 64

16x/16= 64/16

x=4

m <R=19 (4)-5= 71.

Answer:

Step-by-step explanation:

90=(31-3x)+(19x-5)

90=31-3x+19x-590=19x-3x+31-5

90=16x+26

90-26=17x

64=4x

x=4

m∠R=19(4)-5

m∠R=76-5

m∠R=71

Answer:

Answer

3.0/5

8

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/

The height in centimeters of Micah's model given the scale of the drawing is 7.62cm

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing = original dimensions / dimensions of the scale drawing

The height of the model = 381 / 50 = 7,62cm

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Answer:

y = 2x + 4

slope: 2

y-intercept: (0,4)

Step-by-step explanation:

to find the slope and y-intercept of the two points, we can use the following formula:

y2 - y1/ x2 - x1 = slope

to solve, we plug in the values into the equation

we will treat (0,4) as x1, y1 and (7,18) as x2, y2

y2 - y1 = 18 - 4 = 14

x2 - x1 = 7 - 0 = 7

14/7 is the slope, but we can simplify as 14/7 is equal to 2

so the slope is 2 (can also be said as 2/1)

we can now put the following slope into slope-intercept form (y=mx+b)

y = 2x + b < b is the slope, we so we need to solve for b

looking at our points (0,4) and (7,18), we see that we have the y-intercept, as the y-intercept has the x-coordinate 0, and any y-coordinate. the y-intercept is (0,4)

but if we dont have the y-intercept that easily, we can plug in any coordinate that we are given into the equation and solve for b. for this example, ill use (0,4) to plug into the equation

4 = 2(0) + b

4 = b

the y-intercept is 4

the final equation would be the following:

y = 2x + 4

The equation of the line that passes through two points (0, 4) and (7, 18) is y = 2x + 4.

To determine the equation of the line using the given information, we first need to find the slope and y-intercept. The slope of a line can be calculated using the formula:

slope (m) = (change in y-coordinates) / (change in x-coordinates)

Using the points (0, 4) and (7, 18), we can calculate the slope:

slope (m) = (18 - 4) / (7 - 0) = 14 / 7 = 2

So, the slope of the line is 2.

Next, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we can substitute one of the points into the equation and solve for b.

Using the point (0, 4):

4 = 2(0) + b

b = 4

Therefore, the y-intercept (b) is 4.

Finally, we can write the equation of the line:

y = 2x + 4

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You are on the right track: - 20 + 3 = - 17 but do not forget about "dropped 8°C"

-20 + 3= -17

You are correct.

Answer:

A. 4/7

Step-by-step explanation:

If Susie has a bag with 9 hairpins, 7 pencils, 2 snacks, and 4 books, the ratio of books to pencils is 4/7 or 4:7.

4 books.

7 pencils.

You could combine the 4 and 7 getting, 4/7 or 4:7

Even though, there are more numbers, the question only asked for the ratio of books to pencils.

Answer:

4 inches.

Step-by-step explanation:

Convert 10ft in to inches

10 ft = 120 inches

So, 10ft/30inches =120inches/30 inches

120÷30=4

The requried, 10 ft / 30 inches simplified is 4

To simplify the expression 10 ft / 30 inches, we need to convert the units to a common format. We can convert both feet and inches to inches to make the division easier.

1 foot is equal to 12 inches. So, 10 feet can be written as 10 * 12 = 120 inches.

Now we have 120 inches / 30 inches, which simplifies to:

120 inches / 30 inches = 4.

Therefore, 10 ft / 30 inches simplified is 4.

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Complete the square on the right side of the equation

2(x-2)^2+1

Answer:

[tex]d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]

Step-by-step explanation:

We need to find the distance between the points P=(-2,3) and D(2,-2)

The formula used to find distance between points is:

[tex]d(P,D)= \sqrt{(x2-x1)^2 + (y2-y1)^2)}[/tex]

Here, x2 =2 and x1 = -2,  y2=-2 and y1= 3

Putting values in formula

[tex]d(P,D)= \sqrt{(2-(-2))^2 + (-2-3)^2}\\d(P,D)= \sqrt{(2+2)^2 + (-2-3)^2}\\d(P,D)= \sqrt{(4)^2 + (-5)^2}\\d(P,D)= \sqrt{16 + 25}\\d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]

Answer:

x=35

Step-by-step explanation:

ANSWER

x=35°

EXPLANATION

We want to find the value of x, when

[tex] \cos(x) = \sin(20 + x) \degree[/tex]

and 0°<x<90°

Recall that the sine and cosine are complementary trigonometric ratios.

Hence cos x = sin (90-x)

Our equation now, becomes;

[tex] \sin(90 - x) \degree= \sin(20 + x) \degree[/tex]

We now equate the argument to get,

[tex]90 - x=20 + x[/tex]

Group similar terms to obtain:

[tex]90 - 20 = x + x[/tex]

[tex]70 = 2x[/tex]

This implies that,

[tex]x = 35 \degree[/tex]

Answer:

1/4 would be your answer

Step-by-step explanation:

There are four other pieces (I think)

Answer:

Option A.  [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Two boxes contains the following pieces of chalk of the same size.

Red = 2

Yellow = 1

Green = 4

White = 3

Blue = 2

Each box contains = 2 + 1 + 4 + 3 + 2  = 12 pieces of chalk of the same size.

There are total pieces of chalks are 12 and white chalks are 3 in each box.

If one piece of chalk will be randomly selected from each box.

The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]

The probability of second box =  [tex]P_{2}=\frac{3}{12}[/tex]

Therefore,  P =  [tex]p_{1}[/tex] × [tex]p_{2}[/tex]

                   P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]

                   P = [tex]\frac{1}{4}[/tex] ×  [tex]\frac{1}{4}[/tex]

                   P = [tex]\frac{1}{16}[/tex]

The probability that both pieces will be white is  [tex]\frac{1}{16}[/tex] .

Answer:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}=2\sqrt{6}+4[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]

To simplify the expression multiply by the conjugate of the denominator.

The denominator is

[tex]\sqrt{3}-\sqrt{2}[/tex]

Then its conjugate is:

[tex]\sqrt{3}+\sqrt{2}[/tex]

Then:

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}*\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}\\\\=\frac{2\sqrt{2}\sqrt{3}+2\sqrt{2}\sqrt{2}}{(\sqrt{3})^2-(\sqrt{2})^2}\\\\\frac{2\sqrt{6}+4}{3-2}}\\\\= \frac{2\sqrt{6}+4}{1}}=2\sqrt{6}+4[/tex]

Answer:

[tex]4+2\sqrt{6}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex].

Now we need to simplify this. So multiply and divide by conjugate of denominator.

[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]

[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}[/tex]

[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}\cdot\frac{\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}+\sqrt{2}\right)}[/tex]

[tex]=\frac{2\sqrt{6}+2\sqrt{4}}{\left(\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2}[/tex]

[tex]=\frac{2\sqrt{6}+2\cdot2}{3-2}[/tex]

[tex]=\frac{2\sqrt{6}+4}{1}[/tex]

[tex]=2\sqrt{6}+4[/tex]

[tex]=4+2\sqrt{6}[/tex]

Hence final answer is [tex]4+2\sqrt{6}[/tex].

Why don’t you round the last answer

For this case, we have that by definition:

ρ = [tex]\frac {M} {V}[/tex]

Where:

ro: Density

M: Mass

V: Volume

We find the volume of the pyramid:

[tex]V = \frac {1} {3} * l ^ 2 * h[/tex]

Where:

[tex]l ^ 2[/tex]: Represents the area of the base of the square pyramid

h: Represents the height

So:

[tex]V = \frac {1} {3} * (6) ^ 2 * 2.5\\V = \frac {1} {3} * 36 * 2.5\\V = 30 \ in ^ 3[/tex]

We have to:

M = ρ* V

[tex]M = 0.258 \frac {lb} {in ^ 3} * 30 \ in ^ 3\\M = 7.74 \ lb[/tex]

So, you need 7.74 pounds of zinc

Answer:

7.74 pounds