James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned​

Answers

Answer 1

Answer:

30 hectares

Step-by-step explanation:

Answer:

Step-by-step explanation:

Land area James inherited = 19.5 hectares

The area of the land he inherited is 65% of the total land his father owned.

Let

x = Total land his father owned

Land area James inherited = 65% of the total land his father owned

19.5 = 65% of x

19.5 = 65/100 * x

19.5 = 0.65 * x

19.5 = 0.65x

x = 19.5 / 0.65

x = 30

x = Total land his father owned = 30 hectares


Related Questions

Find length bc. Give your answer to 1 decimal place 11cm 64 trigonometry

Answers

Answer:

BC ≈ 9.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11}[/tex] ( multiply both sides by 11 )

11 × sin64° = BC , then

BC ≈ 9.9 cm ( to 1 dec. place )

A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy

Answers

Answer:

the answer is 6

Step-by-step explanation:

3 times 2 equals 6

Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.

1.Explain how you know Elena made a mistake based on her solution.

2.Fix Elena’s inequality and explain what each part of the inequality means.

Answers

Answer:

x is 69.75

Step-by-step explanation:

8x+58>500

500-58

8x/8>558/8

x>

Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y-3 = -2/9(x+1)

Step-by-step explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)

When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)

Answers

Answer:

(3,5)

5*3 = 15 .... 15-5 = 10

Step-by-step explanation:

solve for x

7x/2+5=8

o x=6/7

o x=26/7

o x=21/2

o x=91/2​

Answers

Answer:

x = 6/7

Step-by-step explanation:

7x/2+5=8

Subtract 5 from each side

7x/2+5-5=8-5

7x/2 = 3

Multiply each side by 2/7

2/7 * 7/2x = 3*2/7

x = 6/7

[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]

╭⋟───────────────

[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]

So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

SOMEONE HELP ME PLEASE

Answers

9514 1404 393

Answer:

  log4(2) = 0.5000

Step-by-step explanation:

You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...

  2 = 6/3

Taking logs base 4, you have ...

  log4(2) = log4(6/3) = log4(6) -log4(3)

  log4(2) = 1.2925 -0.7925

  log4(2) = 0.5000

__

Additional comment

This is consistent with your knowledge of factors of 4:

  √4 = 4^(1/2) = 2

  log4(2) = 1/2

__

Here, we're using "log4" to mean the base-4 logarithm.

There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?

Answers

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

Fraction of the rotten mangoes to the total mangoes.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺[tex]\:6 + 24[/tex]

➺[tex]\:30[/tex]

Now,

Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]

➺[tex] \: \frac{6}{30} [/tex]

➺[tex] \: \frac{1}{5} [/tex]

Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next hour or I’ll get a zero, please anyone, and thank you if you do know how to help me

Answers

Answer:

-383.5

Step-by-step explanation:

4+2.5+1+...-33.5

a=4

c.d. d=2.5-4=-1.5

l=-33.5

l=a+(n-1)d

-33.5=4+(n-1)(-1.5)

-33.5-4=(n-1)(-1.5)

-37.5=(n-1)(-1.5)

[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]

In a Survey of 500 people , 350 people dank only one drink. 60 people dink none them. Find the number of people who drink both ,

Answers

Answer:

90

Step-by-step explanation:

350+60= 410 & 500-410=90

Answer: The number of people who drank both is 90

This is because we need to subtract 350 people from 500 people, because we know that they didn't drink the drink. We have 150 people left. Another 60 people don't drink the drink at all, so we need to subtract that from the remaining 150 people left. We get the solution of 90 people who could only have drank both drinks based of of the givens you have provided.

Which algebraic expression represents the phrase "four times a number"?
O4 + c
Oc-4
O 4-0
O 40

Answers

Answer:

O 40

Step-by-step explanation:

because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O

12) A family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20. Write an expression that represents the total cost of their hotel stay? PLEASE HELP​

Answers

Answer:

80n+20=total cost

Step-by-step explanation:

We don't know the value of n, but we don't need it for an expression. We know that the family has to pay $80 per night that they stay at the hotel. Modeling this would look like: 80n (80*n for nights). Also, we know that the family MUST pay a $20 fee. So, we can add that on to the expression to look like this, 80n+20=total cost.

Hope this helps!

Have a nice evening.

BRAINLYEST TO WHOEVER ANSWERS FAST

Volume
To measure the index of refraction for different liquids, you can use half-circle refraction cups.

Keep this image open as you work on the tasks.

Part A
Which measurements do you need to know to find the volume of a cylinder?



Part B
Since the base of the refraction cup is a half circle, how can you find the radius? What is the radius?



Part C
If you put two refraction cups together, what three dimensional shape would you have?



Part D
The formula for the volume of a cylinder is . What is the approximate volume of two refraction cups? Use 3.14 for pi.



Part E
Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?



Part F
Using the equation from Part E, what is the approximate volume of one refraction cup? What is the relationship between this value and the value from Part D? Use 3.14 for pi.

Answers

1. The measurements you need to find the volume of a cylinder are the radius of the base of the cylinder and the height of the cylinder.

2. The radius is 4

3. The 3D shape will form a full cylinder.

4. To calculate the  volume of a cylinder we use the formula V = πr²h which is = π(4²)(2) = 3.14 × 16 × 2 = 100.48 cm³

5. The formula for a refraction will be (πr²h) / 2

6. From the formula in part E, the approximate volume of a refraction is (3.14 × 4² × 2)/ 2 = 50.24 cm³

How do you find the radius of the base of the cylinder and the height of the cylinder as far as calculating the volume of a cylinder is involved?

If you have been givn the volume of a cylinder and its height, you can use the formula for the volume of a cylinder to solve for the radius. Rearange the formula to r = sqrt(V / (πh)).

If you know the surface area of a given cylinder and height, you can find the radius using the formula for cylinder surface area (A = 2rh + 2r2). Rewrite the formula as r = (A - 2h) / (2.

Find more exercises on calculating the volume of a cylinder;

https://brainly.com/question/16134180

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‼️‼️‼️HELP ILL MARK YOU BRAINLEST ‼️‼️‼️

a shirt normally sells for $25. a sales tax of 8% is added to the shirt. what is the total cost of the shirt including the tax

a)20.00

b)$2.00

c)$27.00

d)$23.00

Answers

Answer:

C.$27.00

Step-by-step explanation:

First, you have to multiply the percentage by the starting number, 8%*25 = 2;

Then you have to add that answer (2) to the starting number (25), 25+2 = 27;

So the total cost of the shirt would be $27.00.

find the area of the Shaded sector. round to the nearest hundreds place
PLS HELP​

Answers

Answer:

92.99 units squared

Step-by-step explanation:

area of a circle is

[tex]\pi \times {r}^{2} [/tex]

just multiply that by 74/360, the fraction of a full circle we got here

Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he
spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?
O 2
O 3
O 4
O 6

Answers

Given:

Fixed cost = $300

Variable cost = $75 on each supply

Revenue = $125 on each horse.

To find:

The number of horses for break even.

Solution:

Let x be the number of horses.

The fixed cost is $300 and the variable cost is $75 on each supply. So, the cost function is:

[tex]C(x)=300+75x[/tex]

The revenue from each horse is $125. So, the revenue function is:

[tex]R(x)=125x[/tex]

On break even, the revenue and cost are equal.

[tex]R(x)=C(x)[/tex]

[tex]125x=300+75x[/tex]

[tex]125x-75x=300[/tex]

[tex]50x=300[/tex]

Divide both sides by 50.

[tex]x=\dfrac{300}{50}[/tex]

[tex]x=6[/tex]

The number of horses for break even is 6.

Therefore, the correct option is D.

Answer:

6

Step-by-step explanation:

Solve the system by substitution.
y = 4x
y = 8x - 36

Answers

Answer:

(9,36)

Step-by-step explanation:

Substitute the 4x for the y in second equation.

Basically setting them equal to each other because the both have 'y='

4x = 8x - 36

-4x  = -36 (subtract 8x from both sides)

x = 9         (divide by -4, both sides)

y = 4(9)     (Substitute the x value into first equation)

y = 36

PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT​

Answers

Step-by-step explanation:

The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity

Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a

Answers

Answer:

Two line are perpendicular when they are at right angles to each other.

The red line is perpendicular to the blue line in each of these examples:

Perpendicular Example

Step-by-step ex;planation:

Maria rode her bicycle at an average speed of 18 mph on level roads and then slowed down to 10mph on the hilly roads of the trip. The entire trip covered 98 miles. How long did the entire trip take if traveling the level roads took the same time as traveling the hilly roads? {Remember, d = r·t }

Answers

Let the time = X

Distance = Rate times time

Level roads = 18x

Hills = 10x

Total is 98 miles

18x+10x = 98

Add:

28x = 98

Divide both sides by 28:

x = 3.5

She spent 3.5 hours on each part

Total time = 3.5 + 3.5 = 7 hours

Please help me with this.​

Answers

9514 1404 393

Answer:

  A, C, D, G

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.

The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.

To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.

"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.

encontrar la x y explicar el resultado

[tex]\sqrt{2x+6} = 2[/tex]

Answers

2x=4-6 we switched the variable
2x=-2 divided equation by two on each side
X=-

A rectangular prism has a 4-inch-by-5-inch base and
a height of 3 inches. What figure represents a cross
section parallel to the base of the prism?

Answers

Step-by-step explanation:

A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.  

A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.

The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.

Find the measure of the reference angle for each given angle
0=225

Answers

Answer:

45°

Step-by-step explanation:

Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.

Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;

225 - 180 = 45°

ZCAB = 150°. What is the value of х?
(4х + 22)
(6х + 8)

Answers

Step-by-step explanation:

Dhuʻl-H. 7, 1441 AH · 2 answers

5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...

Missing: ZKB = ‎150°. ‎(4х +

tan2°- cot 88° evaluate​

Answers

Answer:

0

Step-by-step explanation:

tan2°- cot 88° = tan 2° - tan (90-88)°

= tan 2°-tan 2° = 0

Answer:

0

Step-by-step explanation:

➡️tan 2° - cot 88°

➡️tan 2° - tan (90° - 88°)

➡️tan 2° - tan 2°

➡️ 0 ✅

A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the number of times a player wins in for place what is the most probable value of X what is the probable that the player will win at least once

Answers

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% chance of winning

This means that [tex]p = 0.25[/tex]

Plays the game four times

This means that [tex]n = 4[/tex]

What is the probability that the player will win at least once?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836[/tex]

0.6836 = 68.36% probability that the player will win at least once.

Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?

Answers

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let x be the number of minutes it will take him to run 52 km.

We know that,

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

Using this formula, we get

[tex]Speed=\dfrac{20}{85}[/tex]           ...(i)

[tex]Speed=\dfrac{52}{x}[/tex]             ...(ii)

Equating (i) and (ii), we get

[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]

[tex]20\times x=52\times 85[/tex]

[tex]20x=4420[/tex]

Divide both sides by 20.

[tex]x=\dfrac{4420}{20}[/tex]

[tex]x=221[/tex]

Therefore, it will take 221 minutes to run 52 km.

Which weights are within 2 standard deviations of the mean? Select three options.

Answers

Answer:

8.9 lbs

9.5 lbs

10.4 lbs

are correct three options for this

Step-by-step explanation:

but u should give options too

It took me a long time to find the answer from book..

so If you had given options, I would not have spent so much time to find the ans..

From the next time you have to take care of it okay

seeya !! (◕ᴗ◕✿)

Question 3:
A ladder is placed against a wall.
The base of the ladder is 4 foot from the bottom of the wall.
The angle between the ladder and the ground is 80°.
What is the length of the ladder?

Answers

probably this would help.

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PRIMARY SOURCEA You went down one step even from the foul area into the cellar in which a family of human beings lived. It was very dark inside. The window-panes many of them were broken and stuffed with rags....the smell was so fetid [foul] as almost to knock the two men down.... and to see three or four little children rolling on the damp, nay wet brick floor, through which the stagnant, filthy moisture of the street oozed up. .they began to penetrate the thick darkness of the place, ELIZABETH GASKELL, Mary Barton The probability that a student takes calculus or is on scholarship is 0.85. The probability that a student is on scholarship is 0.61 and the probability that a student is taking calculus is 0.31. If a student is randomly chosen, find the probability that the student is taking calculus and is on scholarship. Is the following shape a square? How do you know? A. Yes, the opposite sides are parallel, and all sides are the same length. B. No, because opposite sides are not parallel. C. There is not enough information to determine. D. No, because the sides are not congruent. The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x. During the current year, Rothchild, Inc., purchased two assets that are described as follows:Heavy EquipmentPurchase price, $275,000.Expected to be used for 10 years, with a residual value at the end of that time of $50,000.Expenditures required to recondition the equipment and prepare it for use, $75,000.PatentPurchase price, $75,000.Expected to be used for five years, with no value at the end of that time.Rothchild depreciates heavy equipment by the declining-balance method at 150 percent of the straight-line rate. It amortizes intangible assets by the straight-line method. At the end of two years, because of changes in Rothchild's core business, it sold the patent to a competitor for $35,000.a. Compute the amount of depreciation expense on the heavy equipment for each of the first three years of the asset's life.(Omit the "$" sign in your response.)Year 1 Year 2 Year 3Depreciation expense $ $ $b. Compute the amount of amortization on the patent for each of the two years it was owned by Rothchild.(Omit the "$" sign in your response.)Year 1 Year 2Amount of amortization $ $c-1. Prepare the plant and intangible assets section of Rothchild's balance sheet at the end of the first and second years.(Amounts to be deducted should be indicated with a minus sign. Omit the "$" sign in your response.)Year 1Accumulated amortization Equipment Accumulated depreciation Purchase price Patent $ Equipment Patent Less: Accumulated depreciation Accumulated amortization Add: Accumulated depreciation $Equipment Patent Accumulated amortization Purchase price Accumulated depreciation Total plant and intangible assets $Year 2Accumulated depreciation Accumulated amortization Equipment Purchase price Patent $Accumulated amortization Patent Add: Accumulated depreciation Equipment Less: Accumulated depreciation Total plant assets $c-2. Calculate the amount of the gain or loss on the patent that would be included in the second year's income statement.(Input the amount as positive values. Omit the "$" sign in your response.)Gain Losson sale by $ 2 divide by 7/6pls help Which was a means the federal government used to safeguard blacks' civil rights during congressional Reconstruction? The three parts of quality assurance are determining use objectives, setting specifications, and assessment of results. Classify the actions taken during quality assurance by the part of quality assurance in which they should be taken.a. Document procedures and keep suitable records. b. Use quality control samples to monitor performance. c. Compare data and results with specifications. d. Consider the accuracy and precision needed. e. Determine the sampling requirements. f. Follow standard operating procedures. What is the volume of sphere with radius 13 ft? C. Directions: Complete the table ( Area of a Circle). Radius Diameter Area 16. _____ 7.5cm _______ 17. 10cm _______ _______18. 21cm ________ _______pasagot po plss bukas na po pasahan ko Given 5 straight lines and 4 triangles in a plane. What is the maximum number of times that these linescan cut the sides of these triangles? 3x-1= 7x+5 A: -0.6 C: 1.5B: -1.5 D: 0.6 A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your answer in km to 1DP. What was one reason for the victory of the Communists over the Nationalists in China in 1949?1. the Nationalists received no foreign aid. 2. the Communists promised land reform to the peasants. 3. Mao Zedong was an imperialistic leader. 4. Japan gave military support to the Communists. Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9 Part A: Solve by graphing. Part B: Solve by substitution. Part C: Solve by elimination. Describe the process and steps you used to solve each method.