Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.

Answer:

x = 12

Step-by-step explanation:

We can use the Cross Products Property.

9 / 12 = x / 16

12x = 9 * 16

x = 9 * 16 / 12 = 12

Answer:

x = 12

Step-by-step explanation:

→ First we work out the multiplier between 16 and 12 so,

16 ÷ 12 = 1.3 recurring

→ Multiply this multiplier by 9

9 × 1.3 recurring = 12

→ x = 12

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

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Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.

Answer:

Solution,

[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

The Area of the required figure is  [tex]315\:cm^2[/tex]

Step-by-step explanation:

[tex]Area = (21\times 7)+(14\times 7) + (7\times 10)\\\\=147+98+70\\\\=315[/tex]

Best Regards!

Answer:

3,000

Step-by-step explanation:

Loan = 20,000

Simple Interest per year = 5% of 20,000

=> [tex]\frac{5}{100}* 20,000[/tex]

=> 5 * 200

=> 1,000

Simple Interest for 3 years = 3 * 1000

=> 3,000

Answer:

3000

Step-by-step explanation:

SI = P × R × T

Use simple interest formula.

20000 × 5% × 3

1000 × 3

= 3000

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

Answer:

58.43%

Step-by-step explanation:

In this case we have that the probability that they are different is the opposite of the probability that they are the same, therefore, in each case it would be:

P (plain, plain) = (12/20) (11/19)

P (p, p) = 132/380

P (chocolate, chocolate) = (5/20) (4/19) = 20/380

P (ch, ch) = 20/380

P (currant, currant)= (3/20) (2/19) = 6/380

P (c, c) = 6/380

The probability that they are equal is the sum of each:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 0.4157

Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843 = 58.43%

It means that the probability is 58.43%

Answer:111/190

Step-by-step explanation:

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:

Answer:

2½ h  

Step-by-step explanation:

Assume the graph is like the one below.

The graph shows how Erin's distance varies with time.

To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.

From there, draw a horizontal line until it hits the graph.

Then drop a vertical line to the horizontal axis.

It hits half-way between 2 and 3.

It takes Erin 2½ h to run 25 mi.

Answer:

2½ h

Step-by-step explanation:

Answer:

The original price is 170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.

So, we can make a rule of three: 80% value is equals to 136, how much is 100%?

80% ------------ 136

100% ----------- x

Let's multiply "making a x":

[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]

Therefore, the price before the decrease was £170.

Answer:

Undefined

Step-by-step explanation:

Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.

Answer:

18-5i

Step-by-step explanation:

I can't see the answer choices but all you have to do is simplify this equation.

18-√-25

What is the square root of -25?

Well first we make the -25 into 25 because we can't do anything with a negative.

So square root of 25 is 5

Now plug 5 into the equation

18-5

Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.

Hope this Helps!

Answer:

The Answer is 6 :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2^x

Let f(x) =8

8 = 2^x

Rewriting 8 = 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

Answer:

sorry please....what is the end of the question ....no task to do

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

it is D just took the test

Step-by-step explanation:

Answer:

it is the second option

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you [tex]\frac{337}{360} *30\pi[/tex] which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.

Answer:

(a) [tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b) [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Step-by-step explanation:

It is given that [tex]0\leq x\leq 2\pi[/tex].

(a)

[tex]\sqrt{2}\sin 2x=1[/tex]

[tex]\sin 2x=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin 2x=\dfrac{\pi}{4}[/tex]

[tex]2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}[/tex]     [tex][\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny][/tex]

[tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b)

[tex]\csc^2 x-\csc x-2=0[/tex]

[tex]\csc^2 x-2\csc x+\csc x-2=0[/tex]

[tex]\csc x(\csc x-2)+1(\csc x-2)=0[/tex]

[tex](\csc x+1)(\csc x-2)=0[/tex]

[tex]\csc x=-1\text{ or }\csc x=2[/tex]

[tex]\sin x=-1\text{ or }\sin x=\dfrac{1}{2}[/tex]         [tex][\because \sin x=\dfrac{1}{\csc x}][/tex]

[tex]x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Therefore, [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex].

Answer:

C and E

Step-by-step explanation:

Midpoint, as the word suggests, means the point which lies in the middle of something. The statements that are correct are 1, 3, and 5.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

The statements which are correct about the given figure are:

Hence, the statements that are correct are 1, 3, and 5.

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Answer: 0.0009

Step-by-step explanation:

Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.

i.e. [tex]\mu=3366[/tex]  and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]

Sample size = 1118

Let [tex]\overline{X}[/tex] be the sample mean weight of babies.

Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:

[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]

Hence, the required probability = 0.0009

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

Answer:

3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]

=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]

=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]

=> [tex]\frac{5^6}{2^9}[/tex]

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

Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]

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

=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]

=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]

=> [tex]17-12\sqrt{2}[/tex]

Comparing it with [tex]a+b\sqrt{2}[/tex], we get

a = 17, b = -12

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

Answer:

11.11 %

Step-by-step explanation:

Costing Price = Rs 180

Selling Price = Rs 160

Discount = C.P - S.P

=> 180-160

=> Rs 20

In %age:

=> [tex]\frac{20}{180} * 100[/tex]

=> 11.11 %

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like: