A rectangle with area 12 square units is dilated by a scale factor of k. Match each given value of k with the area of the image.
(match the number with the letter it belongs with)

1.) k=2

2.) k=5

3.) k=1

4.) k=1/4

5.) k=1.2

A.) 48 square units

B.) 17.28 square units

C.) 300 square units

D.) 12 square units

E.) 0.75 square units

Answer:

The orders of magnitude are numbers of the form:

10^n

where n can be any integer number.

So we can write something like:

"A is n orders of magnitude above B

Now we have the quantities:

Amjed cards = 223

Latif cards = 8741

We want to find how many times more trading cards does Latif  have than Amjed.

Then we need to look at the quotient between the number of cards of Latif and Amjed.

8741/223 = 39.2

Now we need to approximate this to the nearest 10^n number.

(..., 0.1, 1, 10, 100, 1000, ...)

The nearest one to 39.2 is 10.

So we can say that Latif's collection is 10.

and 10 = 10^1

then n = 1

Then we can say that Latif's collection is one order of magnitude above Amjed's collection.

4 and 5

finally that is closest to the number in the middle to complete the statement

Answer:

The probability is A 6/36

Step-by-step explanation:

Two 6 sided dice = 12  

Answer:

Let's use the slope-intercept form of the equation of a line describe the slope and the y-intercept:

y = mx + b where m=slope and b=y-intercept

Answer:

100 pounds

Step-by-step explanation:

Answer:

its 61

Step-by-step explanation:

Answer:

4 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer: 24x2+26x−104 or -104

Step-by-step explanation:

Answer:

20 ft

A=wl

l=A/W=240/12=20ft

Answer:

The answer is 1.024

Step-by-step explanation:

5.12 divided by 5 = 1.024

Hope this helps.

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

Answer:

12.56 in.

Step-by-step explanation:

A=Pi*R to the 2nd power

A=3.14*2 to the 2nd power

A=3.14*4

A=12.56

Let me know if im wrong

Area of the circle is 12.56 square units which has radius 2 inches.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that radius of a circle is 2 inches.

We need to find the area of circle.

Radius= 2 inches.

π=3.14

We know that area of circle=πr²

Area of circle=3.142×2²

=3.142×4

=12.56 square inches.

Hence, area of the circle is 12.56 square units which has radius 2 inches.

To learn more on Circles click:

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Answer:

x < -9 or x > 10.

Step-by-step explanation:

x + 10 > 20

x  > 10.

x + 12 < 3

x < -9.

Answer:

B

Step-by-step explanation:

The equation for B would be as; B = 3/G

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

Remember that Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have the given equation as

BG = 3

To solve for the B, we have to eliminate the G from its side;

Then;

B = 3/G

Therefore , the equation for B would be as; B = 3/G

Learn more about solving equations here:

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sen türksün be ne işin var senin burada

The composite score range for the ACT is D) 1 to 36.

The composite score range for the ACT (American College Testing) is the total score achieved by an individual after taking all four sections of the ACT, which include English, math, reading, and science. The composite score ranges from 1 to 36, with 36 being the highest possible score.

The ACT score is used by colleges and universities in the United States to assess the readiness of a student to enter college. A high composite score indicates that the student has the skills and knowledge needed to succeed in college-level courses. Therefore, the correct answer is D) 1 to 36.

To learn more about ACT here:

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Answer:

480 toy boats per hour

Step-by-step explanation:

1. Divide 360 by 45 to find unit rate per MINUTE.

360 / 45 = 8

2. One hour = 60 minutes, so multiply 8 and 60.

8 * 60 = 480

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

Answer:

144 =4

=>144=2×2×2×3×3

OK

OK i know this only

enjoy your day

Answer: is this correct

Step-by-step explanation:

Answer:

y = 5x + 4

Step-by-step explanation:

y - 4 = 5(x - 0)

That is point-slope form. I'm not sure if you want it in slope intercept form, but slope intercept form of the equation is y = 5x + 4

Answer:

y=5x+4

Step-by-step explanation:

y=mx+b

Answer:

C. 14

iedujdd

Step-by-step explanation:

i think i searched

Answer:

9

Step-by-step explanation:

Triangle DCE and ACD are similar (they share the angle at A, and since DE║CB, ∠D=∠C and ∠E=∠B (corresponding angles))

That means the side lengths are in ratio:

12/(8+12)=?/(6+?)

0.6(6+?)=?

3.6+0.6?=?

0.4?=3.6

?=9

the answer is: x= -111/182

Answer:

x= -0.60989010989

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

Answer:

2 kg cashews

6 kg pecans

Step-by-step explanation:

System of Equations:

c + p = 8

8c + 7p = 8(7.25)

let c = 8-p

8(8-p) + 7p = 58

64 - 8p + 7p = 58

-p = -6

p = 6

Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

Answer:

x^2-3x+36

Step-by-step explanation: