A person works at a vegetable farm and a paddy field. He earns Rs 200/- per hour from
vegetable farm and Rs 250/- per hour from paddy field. Last week, he worked for both jobs for a total of 30 hours, and earned a total of Rs 6900/-. How long did the person work at the vegetable farm last week, and how long did he work at the paddy field.. ?

Answer:

the 9 in the tenths place is 10 times bigger than the one in the hundredths place

Step-by-step explanation:

The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

The decimal we are examining is 3.9928.

The 9 in tenth place has a value of 0.9.

The value of 9 in the hundredth place is 0.09

The fraction of the 9 in the tenth place is now the 9 in the hundredth place.

To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.

Mathematically, that would be;

0.09/0.9 = 0.1 = 1/10

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

So you can complete the statement by dragging and dropping "10 times" into the response area.

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The measure of angle BCD on the parallelogram is given as follows:

< BCD = 123º.

First we must obtain the value of a, considering that in a parallelogram, opposite angles are congruent, meaning that they have the same measure, hence:

5a - 3 = 4a + 9

a = 12.

Then the measure of angle ABC is given as follows:

<ABC = 5 x 12 - 3

< ABC = 57º.

For angle BCD, we have that consecutive angles are supplementary, meaning that the sum of their measures is of 180º, hence:

< BCD + 57º = 180º.

< BCD = 123º.

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Answer:

Hello!

Here are the coordinates and a picture example!

Original coordinates: -3, -5

New coordinates: 3, -5

Hope that helps!

Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer: To determine how many hours John needs to work to earn R750, you would need to know his hourly wage. If John earns R50 per hour, he would need to work 15 hours to earn R750 (R750 / R50/hour = 15 hours). If his hourly wage is different, the number of hours he needs to work will be different.

Step-by-step explanation:

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

\(\huge\boxed{\sf <x = 24\°}\)

Step-by-step explanation:

∠x and 156° are supplementary i.e. angles on a straight line that add up to 180 degrees.

So,

∠x + 156 = 180

Subtract 156 to both sides

∠x = 180 - 156

∠x = 24°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(\boxed{\sf x=24\°}\)

Step-by-step explanation:

From the given diagram, we can see that ∠BOC and ∠AOB are supplementary angles.

Therefore, \(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf x+156=180\°\)

Subtract 156 from both sides:

\(\sf x+156-156=180-156\)

\(\sf x=24\°\)

__________________________________

Answer:

\(20 { }^{2} + 21 {}^{2} = 29 {}^{2} \)

Step-by-step explanation:

\(according \: to \: pythagoras \: thorem \: \\ 20 {}^{2} + 21 {}^{2} = 29 {}^{2} \)

PLEASE RATE AND MARK BRIANLIEST!!!!

Answer:x=10

Step-by-step explanation:

1. Simplify both sides of the equation. -3(x+4)=-6x+18 to -3x - 12=-6x + 18

2. Add 6x to both sides. -3x - 12=-6x + 18 to -3x - 12 + 6x=-6x + 18 +6x which would equal to 3x - 12=18

3. Add 12 to both sides. 3x - 12 + 12=18 + 12.

4. Divide both sides by 3. 3x/3=30/3 which equals x=10.

Step-by-step explanation:

you can rounded again if you want

then the answer is

7.9 - 8

The answer of the given question based on the rectangular pyramid is ,  the height of the pyramid is 24 units.

Volume is the amount of space occupied by an object or a substance. It is a three-dimensional measurement that is expressed in units like cubic meters, cubic centimeters, liters, or gallons.

The volume of  rectangular pyramid is given by formula:

V = (1/3) * B * h

where V is the volume, B is the area of the rectangular base, and h is the height of the pyramid.

In this problem, we are given that the volume of the pyramid is 1824 units^3, and the length and width of the rectangular base are 12 units and 19 units, respectively. We can use this information to find the area of the rectangular base:

B = length * width = 12 * 19 = 228 units²

Substituting this value and the formula for the volume into the equation above, we get:

1824 = (1/3) * 228 * h

Multiplying both sides by 3, we get:

3 * 1824 = 228 * h

Simplifying, we get:

5472 = 228 * h

Dividing both sides by 228, we get:

h = 5472 / 228

Simplifying, we get:

h = 24

Therefore, the height of the pyramid is 24 units.

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Answer:

y = d + a · cos(bx - c) ⇒ y = -4cos(4/3x)

Amplitude = |a| = |-4| = 4

Period = \(\frac{2\pi }{b} =\frac{2\pi }{\frac{4}{3} } =2\pi *\frac{3}{4} =\frac{3}{2} \pi\)

Answer:x =108 degrees

Step-by-step explanation:

Answer:

hope it helps

dont mind this part i just can't post without my answer being 20 characters long :))

Answer:

(6,-3) should work but there are infinite answers

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

You can get the three consecutive integers by using algebraic expressions.

Let's solve.

Let x be the smallest even integer.

Let x+2 be the second even integer.

Let x+4 be the largest even integer.

Therefore, 10 is the smallest even integer.

x+2 = 10+2 = 12

The second even integer is 12.

x+4 = 10+4 = 14

The largest even integer is 14.

Let's check by adding the three even integers.

10+12+14 = 36

36 = 36

It's correct.

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

The value of the given Fraction expression is -6.93.

What is Fraction?

A fraction is a mathematical expression that represents the division of a whole number or quantity into parts. It is written as two separate numbers, a numerator and a denominator, separated by a slash. The numerator represents the number of parts being considered, and the denominator represents the total number of parts. Additionally, fractions can also represent parts of a whole number. For example, the fraction 1/2 represents one part of a whole number that has been divided into two equal parts. Fractions can also be combined to create a sum of parts.

So, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Evaluate the quotient and the exponent

So, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Evaluate the product

-15 - 3.7 + 16.47 - 4.7

Evaluate the sum and the difference

-6.93

Hence, the value of the given fraction expression is -6.93 (none of the options is correct)

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Answer:

2308.39 m³

Step-by-step explanation:

The formula of volume of sphere

\( = \frac{4}{3} \pi {r}^{3} \)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {(16.4 \div 2)}^{3} \)

\( = \frac{4}{3} \times 3.14 \times {8.2}^{3} \)

\( = \frac{6925.18208}{3} \)

\( = 2308.394027...\)

= 2308.39 m³ (rounded to the nearest hundredth)

Equation which can be used to solve for the value of x is

3x° + 2x° + 80 °= 180° .

Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.

As shown in the diagram angle on the lines are -

3x ° , 80° , 2x° respectively

Sum of all these angle will be equal to 180°.

3x° + 2x° + 80° = 180

The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .

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Answer:

Step-by-step explanation:

1+12=30

Answer:

Step-by-step explanation:

cosx=9/20

x=arccos(9/20)

x=63 degrees

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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