The weight of an object on Mars varies as its weight on earth. An object that weighs 115 Kg on earth weighs 44 kg on Mars. How much would a person weigh on Mars if the person weighs 75 kg on earth?​

Answer:

x+2=3

collect like terms

x=3-2

x=1

x-12=x+30

collect like terms

x-x=30-12

=18

2(x+6)=2x+12

open bracket

2x+12=2x-12

collect like terms

2x-2x=-12+12

=0

3(x-2)=3x-2

open bracket

3x-6=3x-2

collect like terms

3x-3x=-2+6

=4

The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

The shadows at the same time of the day can be compared for the garden wall and a tree as follows;

tree shadow / tree height = wall shadow / wall height

As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x;

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore the height of the tree is calculated to be 16 feet.

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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

An equation is an expression that shows the relationship between two or more numbers and variables.

The shadows at the same time of the day can be compared for the garden wall and a tree is given by;

tree shadow / tree height = wall shadow / wall height

Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x,

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore, the height of the tree is calculated to be 16 feet.

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The range, mean, and median of the given data set are equal to 38, 20, and 5 respectively.

Data set = {2, 7, 15, 3, 29, 40, 6, 28, 3}

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 40 - 2

Range = 38.

Data set = {12, 34, 31, 8, 15, 20}

F(x) = 12 + 34 + 31 + 8 + 15 + 20 = 120

Mathematically, the mean of a data set can be calculated by using this formula:

Mean = F(x)/n

Mean = 120/6

Mean = 20.

Data set = {2, 4, 5, 7, 10}

Median = 5.

The total number of shots = 18 × 3 = 54 shots.

P(11) = 100 - P(T)

P(11) = 100 - 54

P(11) = 56%.

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Answer:

x=12

Step-by-step explanation:

imma multiply the equation by 6 since i hate working with fractions but you could do this without doing that

3x+18=4x+6

subtract 3x from both sides

18=x+6

subtract 6 both sides

12=x

6.2w + 18.76 + 1.9w = -16.39 + 4.4w

Put on one side of the equation the w values and in the other sides the number values:

6.2w+1.9w-4.4w= -16.39-18.76

3.7w= -35.15

Divide both sides of the equation by 3.7

3.7w/3.7 = -35.15/3.7

w= -9.5

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

Answer:

You can also divide the standard hourly rate by 2 and then add this amount to their standard rate. For example, if the hourly rate is $10, then divide $10 by 2 to produce $5. When you add that $5 to the $10 rate, this overtime rate equals $15. As another example, if someone makes $20 per hour, then the overtime rate is $30 ($20 x 1.5 = $30).

Step-by-step explanation:

keep at learning ♥️

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

Answer:

The value of p is 10

Step-by-step explanation:

Here, we are told that the midpoint of the segment AC is B. What this means is that, applying the midpoint formula on AC would give the coordinates of B.

Mathematically;

(x,y) = {(x1 + x2)/2, (y1 + y2)/2}

(2,3) = (p -6)/2 , (7-1)/2

equating identities;

(p-6)/2 = 2

p-6 = 2 * 2

p-6 = 4

p = 4 + 6

p = 10

The value of p as described in the question is; 10

Since the point B, with coordinates (2,3) is the midpoint of the line segment AC.

Therefore, the x-coordinate of point B (2) is the midpoint of the x-coordinate of point A and C.

The value of p can then be evaluated as follows;

By Cross-product; we have;

The value of p is therefore; 10

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Answer:

Step-by-step explanation:

I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...

The equation of the line of best fit is

y = 1.383x - 1.526

I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!

The required equation of the line is y = 0.667x + 2.334

From the table given equation of the line is determined.
x = 4  7  10  12  13
y = 5  7  12  14  18

A line is a curve showing the shortest distance between 2 points.

Standard equation of line, y =mx + c
The slope of equation m = \(\frac{y_2-y_1}{x_2-x_1}\) and c is y intercept.
                                m  = 7-5/7-4
                                m = 2/3
Now put m in the standard equation
y = 2x/3 + c  - - - - -(1)
to find the value of c we will put a point  (7, 7) in the equation.

7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334

Thus, The required equation of the line is y = 0.667 x +2.334

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A normal curve is symmetrical, with the mean, median, and mode being equal and located at the center of the curve.

It is not skewed (left or right) nor uniform.

A normal curve is a) symmetrical.

A normal curve, also known as a Gaussian curve or a bell curve, is a symmetrical probability distribution curve that represents the distribution of a set of data.

In a normal curve, the mean, median, and mode are equal and located at the center of the curve.
Because the curve is symmetrical, it has the following characteristics:
It is unimodal, meaning it has a single peak.

The tails of the curve extend infinitely in both directions, but the probability of data points at the tails decreases as we move further away from the mean.
The area under the curve equals 1, representing the total probability of all possible outcomes.
In contrast, skewed distributions (left or right) have an asymmetrical shape where the tail extends more prominently in one direction.

A left-skewed distribution has a longer tail on the left side, while a right-skewed distribution has a longer tail on the right side.

Skewed distributions can lead to inaccurate conclusions when using measures of central tendency like the mean.
A uniform distribution is another type of probability distribution where all outcomes have equal probabilities.

In this case, the curve appears as a horizontal line (a rectangle), with no peak or skewness.

A normal curve is a) symmetrical.

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The answer is a) Symmetrical. A normal curve is symmetrical, meaning that it has the same shape on both sides of the central axis.

This is also referred to as a bell curve, as it forms a bell-shaped curve. The term uniform refers to a distribution where all values are equally likely, which does not apply to a normal curve.

A normal curve is a symmetrical bell-shaped curve that represents the probability distribution of a continuous random variable. It is often used as an approximation to the graph of scores or measurements consisting of many bunched values near the average in the middle and a few large and a few small values arranged toward the opposite ends. A normal curve has a mean, median, and mode that are equal and located at the center of the curve. The standard deviation determines how spread out the values are from the mean

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Answer:

Simplifiyng would be 61

Step-by-step explanation:Hopefully this helps

Answer:

74.9

Step-by-step explanation:

Answer:

16 x 6 divided by 2 is 48

First add the two bases together whenever you're trying to find the area of a trapezoid then multiply it by the height and multiply by it by 1/2 (which basically you divide by 2).

Answer:

x=\(\sqrt{169} \)

x=13

Step-by-step explanation:

12*12+5*5=x*x

x*x=169

x=\(\sqrt{169} \)

x=13

Answer:

x = - 2 is not a zero

Step-by-step explanation:

If x = - 2 is a zero of the polynomial then f(- 2) = 0

f(x) = 3x² +4x + 32

f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36

Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial

The probability that the coin will come up heads on the fourth try is 1/2.

Given,

If a fair coin were tossed three times and each time it landed on its head.

We have to find the probability that it will come up heads on the fourth try;

Here,

Coming up short in the first three of four attempts.

The probability will not depend on the first three occurrences in the fourth try.

Consequently, the likelihood of winning the fourth time will be as follows:

Desired outputs as a percentage of overall output

=> 1 / 2

Hence,

The probability of the coming head in the fourth time is 1/2 because the coming head in the fourth time is independent of the coming head in the first three times.

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The percentage by which the price of the car went up from the original price is 60% (third option)

The first step is to determine the price of the car after the percentage increase. Percentage is the fraction of a number as a value out of 100. The sign that is used to represent percentage is %.

Price of the car after the percentage increase = (1 + percent increase/100) x original cost of the car

Price of the car after the percentage increase = (1 + 20/100) x 20,000

Price of the car after the percentage increase = (1 + 0.2) x 20,000

Price of the car after the percentage increase = 1.2 x 20,000 = $24,000

Price after the $8,000 increase = $24,000 + 8,000 = $32,000

Percentage of the original price = (32,000 / 20,000) - 1 = 0.60 = 60%

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Answer:

0.5

Step-by-step explanation:

Answer:

5 miles thank me later

Step-by-step explanation:

Step-by-step explanation:

Area of Rectangle Prism = Area of base x height

= Length x Width x Height

\( = 1 \times \frac{1}{4} \times \frac{1}{2} \\ = 0.125 {in}^{3} \)

One Apple Pie =

\(0.125 {in}^{3} \)

Volume of 528 Apple Pies = Volume of 1 apple pie x 528

=

\(0.125 \times 528 \\ = 66 {in}^{3} \)

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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Answer:

B

Step-by-step explanation:

Answer:

The answer is 6 to 12

Step-by-step explanation:

There are 6 ducks, and 12 chickens so therefore the ratio of ducks to chickens is 6:12. Hope this helps! (Brainliest pleasee I need one more!!) <3

Answer:

x = 13

Step-by-step explanation:

In a triangle, all the angles equal 180 so

2x + 5x - 7 + 6x + 18 = 180

combine like terms

13x + 11 = 180

13x = 169

x = 13

The equations are x - 5 = 7, x - 7 = 5 and x - 4 = 8

The solution to the equation is given as

x = 12

The subtraction property of equality states that if we subtract the same number from both sides of an equation, the equation remains true.

Using the above as a guide, we have the following:

Each of these equations is equivalent to x = 12, since we have simply subtracted the same value from both sides of the equation.

Hence, the solution to each of these equations is x = 12.

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To solve the given linear programming problem using the graphical method, we can plot the constraints and then find the feasible region.

Then we can find the optimal solution by plotting the objective function and finding the minimum value within the feasible region. So, the given LP problem is:\(Min Z = 25A + 25Bsubject to:4A + 3B ≥ 245A + 27B ≥ 24A, B ≥ 0\)Let's plot the constraints one by one:\(4A + 3B ≥ 24On plotting 4A + 3B = 24,\) we get a straight line passing through the points (0, 8) and (6, 0) as shown below:\(5A + 27B ≥ 24On plotting 5A + 27B = 24\), we get a straight line passing through the points (4.8, 0) and (0, 0.89) as shown below:

The optimal solution is the point where the objective function intersects the feasible region. This occurs at the point (4, 4) with \(Z = 25(4) + 25(4) = 200\).Hence, the optimal solution of the given LP problem is \(A = 4, B = 4 and Z = 200.\)

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Answer:

1/6

Step-by-step explanation:

1- 1/2 = 1/2

1/2- 1/3 = 1/6

The fractional part which left after eat half and then one third of rest is 1/3.

Fraction:

Fraction is mathematical representation of any number that distribute over some numbers

Ex: 3/7 represent 3 is distributed in 7 equally parts.

One friend is eat 1/2 of the dessert

then rest part will be = 1 - 1/2 = 1/2

Now second friend eat one third of 1/2

that is 1/3*1/2 = 1/6 eats

Then the remaining part is

1/2 - 1/6 = 2/6 = 1/3

Hence the final answer is 1/3

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If the weight of coal in 43 cars selected at random had an average (x) of less than 61.5 tons, it might make you suspect that the loader had slipped out of adjustment.

Here's why:
Compare the average weight with the expected weight
First, you need to know the expected average weight of coal in the cars when the loader is functioning correctly. If the expected average is significantly higher than 61.5 tons, it could indicate an issue with the loader.
Assess the sample size
A sample size of 43 cars is relatively large, which gives you more confidence in the accuracy of the calculated average weight. If the sample size were smaller, it would be more likely that the result is due to random chance.
Evaluate the deviation from the expected weight
If the average weight is much lower than the expected weight, it would be more likely that the loader is out of adjustment. A small deviation could still be due to random chance or other factors, but a large deviation would suggest a potential issue with the loader.
Consider other factors
Before concluding that the loader is out of adjustment, it's essential to consider other factors that may have caused the lower average weight, such as changes in the type of coal, variations in car sizes, or even human error in weighing the coal.
Investigate further
If the deviation from the expected weight is significant and you cannot identify any other factors that might have caused the lower average weight, it would be reasonable to suspect that the loader may have slipped out of adjustment. In this case, you should conduct a thorough investigation, including inspecting the loader and checking its settings to determine if an adjustment is needed.

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