the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.​

The solutions of the system of equations are 8 and -4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

-4x - y = -28 _____(1)

x + y = 4 _____(2)

x = 4 - y _____(3)

Substituting (3) in (1) we get,

-4(4 - y) - y = -28

-16 + 4y - y = -28

-16 + 3y = -28

3y = -28 + 16

3y = -12

y = -4

Substituting y = -4 in (3) we get,

x = 4 - (-4)

x = 4 + 4

x = 8

Thus,

The value of x is 8.

The value of y is -4.

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Suzy randomly picks marbles from a bag containing 13 identical marbles. The possible outcomes of the given probability if she selects 9 marbles is:

259,459,200.

Randomness is commonly used to refer to an event's apparent or actual lack of pattern or predictability. Random events, symbols, or steps frequently occur in no particular order and do not adhere to any recognizable pattern or combination.

Germanic in origin, Randon is a name for boys. With a name that means "wolf shield," you can inspire baby Randon to embrace their sense of adventure. something or someone that is suspiciously out of the ordinary, unidentified, or unknown. a peculiar or erratic individual or thing. Something that is random lacks structure, direction, or intent. Like the random selection of lottery numbers or unplanned random events, it occurs entirely by chance.

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Answer: 100

hope this helps

Correlation is a measure of the extent to which two factors vary together. Correlation denotes the relationship between two variables. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral.

Positive correlation denotes that the variables move together in the same direction, whereas negative correlation denotes that the variables move in opposite directions. Neutral correlation denotes that there is no relationship between the variables. Correlation is a technique that is used in statistics to identify the strength of the relationship between two variables. Correlation can be used to identify the strength of the linear relationship between two variables. Correlation measures the degree to which two variables vary together, in other words, it measures how much the variables are associated with one another. Correlation is used to identify the relationship between two variables. If there is a strong correlation between two variables, it indicates that there is a strong relationship between the variables. Correlation analysis helps in determining the strength and direction of the relationship between the variables. The correlation coefficient is used to measure the strength of the relationship. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation. The correlation coefficient of 0 indicates that there is no correlation between the variables.

Correlation is a measure of the extent to which two factors vary together. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral. Correlation is used to identify the relationship between two variables. The correlation coefficient is used to measure the strength of the relationship between the variables. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation.

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According to the nebular theory, the solar system was formed by the gravitational collapse of a giant molecular cloud, which eventually formed the sun and the planets. This theory has been widely accepted by astronomers as it explains several observed phenomena in the solar system, such as the similar orbital planes and the direction of rotation of the planets, and the composition of asteroids and comets.

However, there are some observations that would be inconsistent with the nebular theory, and that would require modifications or a complete rejection of the theory. One example of such an observation is the discovery of a planet orbiting a star in a retrograde direction.

According to the nebular theory, all planets should orbit their star in the same direction as the star's rotation, as the planets formed from the same spinning disk of gas and dust as the star. Therefore, the discovery of a planet with a retrograde orbit would require a modification of the nebular theory.Another example of an observation that is not consistent with the nebular theory is the presence of hot Jupiters, which are giant gas planets orbiting very close to their star.

According to the nebular theory, gas giants should form far from their star, where the temperature is low enough for ice to condense and form planetesimals. These planetesimals would then grow by accretion to form gas giants. However, hot Jupiters cannot form in the inner regions of a protoplanetary disk, as the temperatures are too high for ice to condense. Therefore, the presence of hot Jupiters requires a modification of the nebular theory.There are also other theories that could explain the formation of the solar system, such as the disk instability theory and the capture theory. These theories have their own strengths and weaknesses, and they are still being studied and debated by astronomers.

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Answer:

a^2+a-6

Step-by-step explanation:

i have attached your answer

1. If he can place 12 eggs in each crate then are 12 eggs in one crate. (12 x 1 = 12)

2. If there are 8 rooms in a house, each with one bed then there are 8 beds in total. (8 x 1 = 8)

3. There are 20 ministers. ( 20 x 1 = 20)

4. If Sam earns $20 per hour, and he works one hour he will earn $20. (20 x 1 = 20)

Answer:

(9, -2)

Step-by-step explanation:

For x, right is increasing so you have to add 5 to 4, which is 9. For y, up is increasing so you have to add 4 to -6, which is -2. You then have (9, -2)

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

For the  entire operation of positioning and attaching a randomly selected part, there are no changes in the shape and variability of the total time distribution of the entire operation whereas the center of the normal distribution enlarges each operation performed.

We know that -

A time and motion study is used to determine the time needed by an assembly line worker to carry out different repetitive tasks.

For such an operation of positioning and attaching a randomly selected part, we can define shape, center, and variability as below -

(a) Shape -

For a randomly selected part of different repetitive tasks, there exists a normal distribution function.

So, if there are several repetitive task such as positioning and attaching are added up one after another, there is a certain constant being added up to every particular operation.

We know that, in a normal distribution function, any addition of constant doesn't affect the shape of the total time distribution. So, there won't be any change in the shape of the total time required for the entire operation.

(b) Center

We have already determined that the entire operation of positioning and attaching represents a normal distribution function where certain repetitive tasks equal to the addition of constant to this function.

So, for this type of normal distribution function, addition of constant to a specific operation (or, data value) will lead to increase in the center of normal distribution.

Thus, the center of the total time distribution will be magnified for the entire operation.

(c) Variability

For the normal distribution function that represents the entire operation of positioning and attaching a randomly selected part, there is always a constant being added to the distribution.

For each of the constant added to the operations (or, data value), there won't be any change in the variability of the normal distribution.

Therefore, for the  entire operation of positioning and attaching a randomly selected part, there are no changes in the shape and variability of the total time distribution of the entire operation whereas the center the distribution enlarges each operation performed.

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Answer:

Step-by-step explanation:

a.50%=\(\frac{1}{2}\)

b.so 50% of 188 means 188·\(\frac{1}{2}\)=94

answer is 94

(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

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Answer:

mark score is minus 14

7multiply minus 2

Answer:

14

Step-by-step explanation:

Answer:

193.28 cm^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to attached

The ares consists of half-circle and a triangle

Radius of circle:

Sided of the triangle:

Total area:

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

Answer:

-4a - 12

Step-by-step explanation:

-4(a+3)

-4(a) + -4(3)

-4a + -12

-4a - 12

Answer: 50

Step-by-step explanation:

|-20| = 20

|30| = 30

20 + 30 = 50

Answer:

JL= 62

Step-by-step explanation:

27+3x-1=5x+2

3x+26=5x+2

3x+24=5x

24=2x

12=x

now plug in x(which is 12) for JL

5(12)+2

60+2

=62

The measure of the line segment is 62 units if the JL = 5x + 2 and JL = 27 + 3x - 1 from the line segment.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

JL = 5x + 2

From the line segment:

JL = 27 + 3x - 1

Plug the value of JL in the equation:

5x + 2  = 27 + 3x - 1

After solving:

5x - 3x = 26 - 2

2x = 24

x = 12

JL = 5x + 2

Plug x = 12 in the above equation:

JL = 5(12) + 2

JL = 60 + 2

JL = 62 units

Thus, the measure of the line segment is 62 units if the JL = 5x + 2 and JL = 27 + 3x - 1 from the line segment.

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Answer:

\(\frac{3}{500}\)

Step-by-step explanation:

Start by converting 5 meters to centimeters. Note 1 meter = 100 centimeters.

We can set up a unit converter:

\(5m(\frac{100cm}{1m})\)

The meters cancel out leaving us with:

\(5*100cm=500cm\)

The scale factor is:

\(\frac{drawing}{real\ life}=\frac{3cm}{500cm}=\frac{3}{500}\)

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.

The variables are the area, volume and height of the cone, the rate of change and desired rate of change are calculated below.

1. Variables:

- Area of the base of the ice cream cone (A)

- Volume of the ice cream cone (V)

- Height of the ice cream cone (h)

Constants:

- Diameter of the cardboard cone (6 cm)

- Height of the cardboard cone (10 cm)

- Rate of change of ice cream filling (5 cm^(2/3))

- Desired volume of ice cream (50 cm³)

2. The given rate of change is the rate at which the ice cream is being filled into the cardboard cone, which is 5 cm^(2/3).

3. The desired rate of change will be the rate at which the area of the base ice cream will increase when the cone contains 50cm³

4. a) The equation that shows the relationship between the variables is

\(A = (\frac{3V}{h})^\frac{2}{3}\)

4. b) To eliminate variables other than the volume and area of the ice cream cone base, we can use the relationship found in part a:

\(A = (\frac{3V}{h})^\frac{2}{3}\)

By rearranging this equation, we can express the volume (V) in terms of the area (A) and the height (h):

\(V = \frac{A^3 * h^2}{27}\)

This equation eliminates the variables other than the volume (V) and the area of the ice cream cone base (A).

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Answer:

7,344,000 seconds

Step-by-step explanation:

First lets put up some basic conversions first.

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Therefore, from the question:

85 days = 24 ÷ 85 = 2,040 hours

2,040 hours = 2,040 × 60 = 122,400 minutes

122,400 minutes = 122,400 × 60 = 7,344,000 seconds

Answer:

60 = \(2^2\) * 3 * 5

Step-by-step explanation:

The process of prime factorization is when one breaks up a number such that it can be represented as the product of many prime numbers. One does this by dividing the prime number by its smallest prime factor. Then one will divide the composite factor by its smallest prime factor, and so on. All of the resulting prime numbers are prime factors of the original number.

60 = 2 * 30

30 = 2* 15

15 = 3 * 5

60 = \(2^2\) * 3 * 5

The total surface area of the toy box using the net is 390 square cm

From the question, we have the following parameters that can be used in our computation:

The net of the toy box

The surface area of the toy box from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the toy box

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

Area = 2 * 5 * 6 + 2 * 5 * 15 + 2 * 6 * 15

Evaluate

Area = 390

Hence, the surface area is 390 square cm

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Answer:

58

Step-by-step explanation:

Answer:

GASOLINE The table gives the cost of a

gallon of gasoline at two stations.

How much more does gasoline cost at

Gas For Less than at Cut-Rate?

Step-by-step explanation: