John gains 5% by selling a book for 273. Find the cost price of the book

According to the Houa's drawing the distance across the river PR is

The length of line PR is calculated using the knowledge of similar triangles

While similar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent.

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shown, the pair of equivalent sides are

PO and OC, PR and RE,

The solution is worked out using sides PO and OC, PR and RE,

PO / OC = PR / RE

let PR be equal to y such that PO = 140 + y

(140 + y) / 230 = y / 135

cross multiplying

135(140 + y) = 230y

Expanding

18900 + 135y = 230y

collecting like terms

18900 = 230y - 135y

95y = 18900

y = 198.95 feet

Hence PR = 198.95 feet

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The correct option is option (d).

To solve this problem, we need to find the probability that two randomly selected packages are both more than 4.5 pounds. Since the distribution is normal, we can use the standard normal distribution table to find the probability.

The first step is to standardize the weight of the packages by subtracting the mean from the weight and dividing it by the standard deviation. The weight of 4.5 pounds is the mean, so the standardized weight is (4.5 - 4.5) / 1.8 = 0.

The probability that a package weighs more than 4.5 pounds is the same as the probability that a standardized package weighs more than 0. This probability is equal to 1 - P(Z < 0) , where Z is the standardized weight.

Using a standard normal distribution table, we find that P(Z < 0) = 0.5. Therefore, the probability that a package weighs more than 4.5 pounds is 1 - 0.5 = 0.5.

Since the two packages are independent, we can find the probability that both packages are more than 4.5 pounds by multiplying the probability of one package being more than 4.5 pounds by itself. So, the probability that two randomly selected packages are both more than 4.5 pounds is 0.5 * 0.5 = 0.25.

In conclusion, the probability that two randomly selected packages are both more than 4.5 pounds is 0.25

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Answer:

28.2, 27.63, 27.54, 27.5, 27.22

Answer: 28.2, 27.62,27.5,27.22

Step-by-step explanation:

Answer:

1. ( 1,7)

2. (17, 39)

Step-by-step explanation:

1.  Replace all occurrences of y with 6x+1, and we get

9x + 1 = 10

x = 1

y = 6x + 1

y = 7

So, the answer for number 1 is (1,7)

2. 6x - y = -15x + 2y = 17

We subtract 2y and get

6x - 3y = 15x = 17

Replace all occurrences of x with 17, and we get

102 −3y = −15

x = 17

y = 39

So, the answer for number 2 is (17, 39)

Answer:

610

Step-by-step explanation:

area of triangle is A=0.5*h*b

a=0.5*20*(8+8+15)

a=310

area of square=lh

a=15*20

a=300

300+310=610

Answer:

140

Step-by-step explanation:

Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.

Answer:

30

Step-by-step explanation:

15(6 – 4)

=15(2)

=30

Answer:

larespuesta a conseguir sería 86

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

When dividing numbers with same bases with indices this is the rule:

[tex]\frac{x^{y}}{x^{z} } =x^{y-z}[/tex]

So the answer is:

[tex]6^{7-5} = 6^{2}[/tex]

Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

Recursive formula for a(n) , the nth term of the sequence is

⇒ a(n) = 125 × (5)ⁿ⁻¹

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

The sequence is,

⇒ 125, - 25, 5 , ....

Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.

We know that;

The nth term of geometry sequence is,

⇒ a(n) = a rⁿ⁻¹

Where, 'r' is common ratio and 'a' is first term of the sequence.

Substitute all the values, we get;

The nth term of the given sequence is,

⇒ a(n) = a rⁿ⁻¹

⇒ a(n) = 125 × (5)ⁿ⁻¹

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Answer:

The first law of motion

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

3x + 2

x = 5

3x + 2

3(5) + 2

15 + 2

17

[tex]\boxed{The\:value\:of\:3x\:+\:2\:for\:"x\:=\:5"\:is\:17.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x + 2 \\ = 3(5) + 2 \\ = 3 \times 5 + 2 \\ = 15 + 2 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

12

Step-by-step explanation:

ans Is here i) 1/9

ii) 3

tq brainlest?

The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]

Since, BH is the altitude [tex]\angle MHC= 90[/tex].

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].

Consider triangle ABC:

Using sum of triangles, we have:

[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]

Hence the measure of angles of triangle ABC is 60 degrees.

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Answer:

8

Step-by-step explanation:

if we do 128+7.95 we get 135.95. but when we do 128+8(wich is 6.25% of 128) we get 136. so she will pay 8 dollars in shipping

Hope this helps.

Answer:

32768

Step-by-step explanation:

8^6 is 262144, divide by 8. Your answer is 32768

Answer:

32768

Step-by-step explanation:

8 to the power of 6 is 262144

262144 divided by 8=32768

also invite me to ur brains funeral

Answer:

128

Step-by-step explanation:

1/3base area×height

Answer:

2(3n^2-4) and 6n^2-8

Step-by-step explanation:

There are two different answers but try at least both of them.

Answer:

Approx 3.92

Step-by-step explanation:

On solving the provided question, we can say that by equation

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x = amount (ton) of vegetables sold on day one; y = amount (ton) of vegetables sold on day two. Z = the amount of vegetables sold on the third day (in tons).

[tex]x=y-3\\z=(5/9)*(x+y)\\x+y+z=98\\x+y+[(5/9)*(x+y)]=98\\ 9x+9y+5x+5y=882\\14x+14y=882\\x=y-3\\14x+14y=882[/tex]

solution

[tex]x=30\\y=33\\x+y+z=98---- > z=98-(x+y)---- > z=98-63--- > 35[/tex]

30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.

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Answer:The answer to your question is 9

The measure of the exterior angle for Object 1 - a decagon is 36°, while th measure of the exterior angle for Object 2  - a dodecagon is 30°.

n object with 12 sides is called a dodecagon while an object with 10 sides is called a decagon.

Note that the exterior angles of all shapes, regular or irregular is 360°. In this case, the shapes are regular, which means that the sides are equal, hence their angles will be equal.

To derive the exterior angle of a regular geometric shape, the formula is given as:

Exterior angle measure = 360 / number of sides

Hence for A (the decagon), we have:

EAM = 360/10

= 36°

For B (the dodecagon) we have:

EAM = 360/12

= 30°

Thus the exterior angle for both shapes are 36° and 30° respectively.

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The sum of all the positive two-digit integers where one of the digits is three times the other is 630.

To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.

For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.

For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.

The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.

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Answer:

g

Step-by-step explanation:

g

We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.

We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.

Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent

We must now locate a side opposing the angle A or the hypotenuse.

As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.

Finally, the length of BC is required because it is the side opposite A.

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The complete question should be like:

What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.

2 equations that could be used to solve for missing lengths are:

[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]

Now, According to the question:

Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

ABCD ~ A'B'C'D'

So,

[tex]\frac{AB}{A'B'} = \frac{BC}{B'C'}\\ \\ \frac{CD}{C'D'} = \frac{AD}{A'D'}[/tex]

Hence,  2 equations that could be used to solve for missing lengths are:

[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]

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