two number are on the ratio 2:3.if 12 is added to both the numbers,ratio becomes 5:6.find the numbers

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

Answer:

Solution,

Let the length and breadth of smaller rectangle be l and b.

Length and breadth of larger rectangle be 3L and 3 b.

Besides, depth is same in both beds.

As area of small rectangle=180

Area of larger rectangle:

[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

[tex]Speed = 0.28m/s[/tex]

Step-by-step explanation:

Your question seem incomplete; however, I'll assume the given tips as the usable parameters.

Given

Distance = 2km

Time = 2 hours (8am to 10am)

Required

Calculate speed (in metres per seconds)

Speed is calculated as follows:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute 2 km for distance and 2 hours for time.

[tex]Speed = \frac{2km}{2hr}[/tex]

Convert km to metres an hr to seconds.

[tex]Speed = \frac{2000m}{7200s}[/tex]

[tex]Speed = 0.277778 m/s[/tex]

[tex]Speed = 0.28m/s[/tex] (Approximated)

Hence, the cyclist travels at 0.28m/s

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

Answer:

The mean number of students in a Statistics class = 25.47

The standard deviation of the number of students in a Statistics class = 1.081.

Step-by-step explanation:

We are given the following probability distribution for the number of students in statistics classes below;

     X                      P(X)                    [tex]X \times P(X)[/tex]                 [tex]X^{2} \times P(X)[/tex]

    23                     0.08                       1.84                          42.32

    24                     0.12                        2.88                         69.12

    25                     0.15                        3.75                         93.75

    26                     0.55                       14.3                          371.8

    27                    0.10                         2.7                          72.9      

  Total                    1                         25.47                      649.89  

The missing value against value 26 is calculated as;

       = 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55

The mean of the following data is given by;

          Mean,[tex]\mu[/tex]  =  [tex]\sum X \times P(X)[/tex]  = 25.47

The variance of the following data is given by;

         Variance,[tex]\sigma^{2}[/tex]  =  [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]

                          =  [tex]649.89 - (25.47)^{2}[/tex]

                          =  1.1691

Standard deviation =  [tex]\sqrt{1.1691}[/tex] = 1.081                

Answer: Water: 120 gallons

Premium Antifreeze: 200 gallons

Step-by-step explanation:

Had to complete the question first.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Water: ____ gallons

Premium Antifreeze: _____ gallons

Solution:

Let w = amt of water required

An equation based on the the percent water, an 80% solution is 20% water

Multiply through

= 20% (320 - w) + w = 50% x ( 320)

64 - 0.2w + w = 160

Collecting like times

0.8w = 160 - 64

w = 96%

w = 120 gal of water to produce 320 gal of 50% antifreeze

320 - 120 = 200 gal of 80% solution

Water: 120 gallons

Premium Antifreeze: 200 gallons

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

1 pound = 16 ounces.

9 pounds of sand x 16 = 144 total ounces of sand.

144 ounces / 6 ounce bottle = 24

He made 24 bottles.

Answer:

24 bottles

Step-by-step explanation:

Trevor bought 9 pounds of sand

He fills 6-ounce bottles

First let's convert pounds to ounces:

Now, number of bottles required:

Answer:

60

Step-by-step explanation:

Tangents to a circle from a common external point are congruent, thus

JA = JB = 6

AL = KC = 11

CK = KB = 13

Thus

perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60

The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.

A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.

Given that,

Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.

In the figure,

From the external point J, tangents JA=JB

JB=6

From the external point L, tangents AL=LC

LC=11

From the external point K, tangents KB=KC

BK=13

So, JL=JA+LA

JL=6+11=17

LK=LC+CK

= 11+13

= 24

JK=JB+KB

= 6+13

= 19

Now, the perimeter is JL+LK+JK

= 17+24+19

= 60 units

Therefore, option D is the correct answer.

Learn more about the tangent of a circle here:

https://brainly.com/question/27009841.

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Answer:

The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.

Step-by-step explanation:

In order to convert the tax-free interest rate of 3% per year to the comparable taxable interest rate, one should consider that 3% is the interest rate after the marginal tax discount. If you are at the 24% marginal tax bracket, the comparable rate is:

[tex]r*(1-0.24)=0.03\\r=\frac{0.03}{0.76}\\r=0.0395\\r=3.95\%[/tex]

The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.

The comparable tax rate is 3.95%, so you should choose the 4.5% taxable account option.

Since the rate is 3% per annum, the other rate should be 4.5% and there is tax rate of 24%

So,

rate (1 - 24%) = 3%

rate = 3.95%

Learn more about the rate here: https://brainly.com/question/13021566

the answer is ur guy

Answer:

The equation representing the new path is;

[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]

Step-by-step explanation:

The equation of the first walking park across the park is y = -3·x - 3

By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3  is -3

The park's new walking path direction = Perpendicular to first walking path

A line perpendicular to a line of  (as example) y = m₁·x + c has a slope of -1/m

∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3

The point the paths will intersect = (-3, 6)

The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₂ and x₂ are coordinates of a point on the new walking path

y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path

Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6

Therefore, we have;

[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]

Which gives;

(y₂ - 6) × 3 = x₂ + 3

y₂ - 6 = (x₂ + 3)/3

y₂ = (x₂ + 3)/3 + 6  = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7

Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].

Step-by-step explanation:

It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so

<KPL + <JPL = 180° [ Being linear pair ]

2x + 24 + 4x + 36 = 180

6x + 60 = 180

6x = 120

x = 120/ 6

Therefore x = 20

Now

x = 20

m<KPL = 2x + 24 = 2 * 20 + 24 = 64

m<JPL = 4x + 36 = 4 *20 + 36 = 116

Answer:

X=20; pqr = 130°

Step-by-step explanation:

They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°

Answer:

2/9 * (-4 - 3) + 3

= 2/9 * (-7) + 3

= -14/9 + 3

= -14/9 + 27/9

= 13/9

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> [tex]\frac{1}{12}[/tex] = 0.8333.........

=> [tex]\frac{7}{8}[/tex] = 0.875

=> [tex]\frac{14}{25}[/tex] = 0.56

=> [tex]\frac{17}{20}[/tex] = 0.85

=> [tex]\frac{6}{10}[/tex] = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.

31.7 + 42.8 + 26.4 + x/4 = 39.1

Add up all the plain numbers on the left side:

100.9 + x/4 = 39.1

Subtract 100.9 from each side:

x/4 = 39.1

Multiply each side by 4:

x = 156.4

Answer:

Step-by-step explanation:

To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:

31.7 + 42.8 + 26.4 + x = 100.9 + x

The sum of terms ind the numerator of the fraction on the right.

39.1 + 100.9 + x= 140 + x

Next step is to cancel out the denominators as they are equal.

Now we are left with

100.9+x = 140+x

Rearrange and solve

To get x = 156.4

Answer:

D.

Step-by-step explanation:

The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.

[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]

= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]

So, the right answer should be the choice on the lower right corner.

Hope this helps!

Answer:

C

Step-by-step explanation:

Okay, here we have the equation of the sine wave as;

y = asin(k(x + b))

By definition a represents the amplitude

k represents the frequency

b represents the horizontal shift or phase shift

Now let’s take a look at the graph.

By definition, the amplitude is the distance from crest to trough. It is the maximum displacement

From this particular graph, amplitude is 4

K is the frequency and this is 1/period

The period ;

Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)

F = 1/T = 1/1/2 = 1/0.5 = 2

b is pi/4 ( phase is positive as it is increasing rightwards)

So the correct option here is C

Answer: it is

a=4, k=2, and b= pi/4

Step-by-step explanation:

got it right on A P E X

Answer:

The total number of marbles is 3.4*r

Step-by-step explanation:

We have 25% more red than blue, so we can write the equation:

[tex]red = 1.25*blue[/tex]

We have 60% more green than red, so:

[tex]green = 1.6*red[/tex]

In total we have 'r' red marbles, so:

[tex]red = r[/tex]

The total number of marbles in the collection is the sum of all three amount of marbles:

[tex]total = red + blue + green[/tex]

[tex]total = red + (red/1.25) + 1.6*red[/tex]

[tex]total = r + 0.8*r + 1.6*r[/tex]

[tex]total = 3.4*r[/tex]

The total number of marbles is 3.4*r

Answer:I cStep-by-step explanation:

Answer:

-3901 silver coins (a loss)

Step-by-step explanation:

Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.

Therefore:

The probability of not surviving the quest = 100%-85.4% =14.6%

Therefore, the expected value of this insurance policy to the insurance company

[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]

The expected value of this insurance policy to BIC is -3901 silver coins

The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins

So here the expected value is

= 85.4% of 5,533 + (14.6% of -59,086)

= -3901

Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Learn more about policy here: https://brainly.com/question/10189250

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

Answer:

5/8

Step-by-step explanation:

72 = 16/10 of 45

45 = 10/16 = 5/8 of 72

Step-by-step explanation:

In my opinion the reason 4 is incorrect

Answer:

Step-by-step explanation:

step 4 suppose to be :Step 2: Multiply both sides by 2/3.

(2/3)*(3/2x)=(2/3)*(60)

Answer:

  3x +2y = 0

Step-by-step explanation:

Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:

  3x +2y = 0

Answer:

c. Not enough information