Ali bought 6kg rice from the market for Rs 890. The shopkeeper got profit 5%. The shopkeeper bought the same rice from the wholesalers. The wholesalers got a profit of 4% from the shopkeeper. Find the cost price of wholesaller.

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

Step-by-step explanation:

Area and perimeter are both measurements used to describe geometric shapes, but they are fundamentally different concepts and therefore change in different ways.The perimeter of a shape is the distance around the outside of the shape. It is a measure of the total length of the boundaries or sides of the shape. Perimeter depends on the length of each side of the shape, and if one or more sides change in length, the perimeter will change accordingly. For example, if you take a square and double the length of one of its sides, the perimeter will double as well.On the other hand, the area of a shape is the measure of the surface enclosed by the shape. It is a measure of the amount of space inside the shape. The area depends on the length and width of the shape, and if one or both of these dimensions change, the area will change accordingly. For example, if you take a square and double the length of one of its sides, the area will increase by a factor of four.In summary, the perimeter of a shape depends on the length of its sides, while the area of a shape depends on its length and width. Therefore, changes to the length of a side will affect the perimeter, but not necessarily the area, while changes to the length or width will affect the area, but not necessarily the perimeter.

Answer:

  (a)  The y-intercept of Function A is greater

Step-by-step explanation:

The grid is not large enough to let you plot the points of Function A, but you can estimate where they might go.

The first point, (-9, -13), is off the bottom at the left side of the graph. It will be 3 units below the bottom line (-10) at the vertical x=-9. It is approximately (exactly) coincident with the graphed red line.

The second point, (6, 12), is off the top of the graph at the vertical x=6. That point is clearly above the red line.

These two points of Function A are sufficient to give you the idea that Function A is above Function B in the area of this graph.

Function A will have a greater y-intercept.

__

If you want to compute the y-intercept for Function A, you can start by computing the slope of the line. From the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (12 -(-13))/(6 -(-9)) = 25/15 = 5/3

Then the y-intercept can be found from ...

  b = y1 -m·x1

  b = (-13) -(5/3)(-9) = -13 +15 = 2

The y-intercept for Function A is (0, 2), which is greater than the y-intercept of (0, -1) that Function B has.

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

16 shirts = GH¢256

Step-by-step explanation:

If 5 shirts cost GH¢80​

Let's determine the price of 16 shirts by cross multiplying the values

This method of evaluating answers is one of the essential methods .

It's just Making sure that the values within each side of the wall to symbol crosses each other.

But one shirt = GH¢80​/5

one shirt = GH¢16

So

5 shirts= GH¢80​

16 shirts = (16 shirts * GH¢80​)/5 shirts

16 shirts = GH¢1280/5

16 shirts = GGH256

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:24

Step-by-step explanation:

If Jia sells duck eggs and a customer buys 4 cartoons and there are 6 eggs in each cartoon that means 6(4)=Number of eggs customer buys in all

One cartoon= 6 eggs

Two cartoon = 12 eggs

Three cartoon = 18 eggs

Four Cartoon = 24 eggs

So the Customer buys 24  eggs in all

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

\(m = \frac{change \: in \: y}{change \: in \: x} \)

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .

\(m = \frac{y2 - y1}{x2 - x1} \)

Substitute in the values of x and y into the equation to find the slope.

\(m = \frac{5 - (2)}{7 - (3)} \)

Simplify.

\(m = \frac{3}{4} \)

Hence, the slope is 3/4.

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

20

Step-by-step explanation:

To solve this problem, we can use the formula W1 * D1 = W2 * D2, where W1 is the number of workers for the first warehouse, D1 is the number of days it took to construct the first warehouse, W2 is the number of workers for the second warehouse, and D2 is the number of days it will take to construct the second warehouse.

We know that W1 = 8 and D1 = 125. We need to find W2.

Using the formula, we can solve for W2:

W2 = (W1 * D1) / D2

W2 = (8 * 125) / 50

W2 = 20

Therefore, Gary will need 20 workers to construct the second warehouse in 50 days

The volume of the sphere is,

⇒ The volume of sphere = 14,130 cm³

The multiplication means to add a number to itself with a particular number of times. And, Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of sphere = 15 cm

Now, We know that;

⇒ The volume of sphere = 4/3πr³

Substitute value of Radius = 15 cm

⇒ The volume of sphere = 4/3 × 3.14 × 15³

⇒ The volume of sphere = 14,130 cm³

Thus, The volume of the sphere is,

⇒ The volume of sphere = 14,130 cm³

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Answer:

The range is [-7,0] or -7<×<0

Step-by-step explanation:

The easiest way to remember range is to correspond it with he maximum and the minimum of the graph.

Answer:

the answer is -4 I think

Answer:

−4

Step-by-step explanation:

(26 ÷ 13) ⋅ (−7) + 14 − 4 =

= 2 ⋅ (−7) + 14 − 4

= −14 + 14 − 4

= 0 − 4

= −4

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

Answer: where’s the diagram

Step-by-step explanation:

x is right here I found it.

Answer:

0.2305 = 23.05% probability that exactly 2 workers say yes.

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, 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.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

5% of workers in the US use public transportation to get to work.

This means that \(p = 0.05\)

You randomly select 25 workers

This means that \(n = 25\)

Find the probability that exactly 2 workers say yes.

This is P(X = 2). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305\)

0.2305 = 23.05% probability that exactly 2 workers say yes.

Step-by-step explanation:

We can determine whether the change represents exponential growth or decay by seeing whether the number being raised to x is between 0 and 1, or greater than 1.

In the equation \(y = 540(1.04)^x\), y will increase every time that x increases, as we are multiplying by a number greater than 1 every time.

Hence, this exponential function represents exponential growth.

The percentage rate of increase for this function would be how much the y-value increases each time. Since we are multiplying by 1.04, each time the new value is 104% the original y-value. Hence, the percentage increase is 4%.

Answer: The first one

Step-by-step explanation:

as x -> positive infinity, f(x) = negative infinity

as x -> negative infinity,f(x)=negative infinity

According to the concept of unitary method, the number of pennies are 6.

Unitary method:

The process of finding the value of a single unit, and based on this value is called as unitary method.

Given,

Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are nickels and the rest are dimes and pennies. There are 5 dimes for every penny.

Here we need to find the number of pennies in the coins.

Here we know that the total number of coins are 150, thus includes

=> Quarters + nickels + dimes + pennies = 150 

Here the number of Quarters are 90 

Therefore, the remaining coins are calculated as,

=>  150 − 90 = 60

Here the percent of nickels is 40, then the number of nickels is

=> 60x 40/100

=> 24 numbers

Now, the remaining coins such as dimes and pennies are

=> 60 − 24 = 36 numbers.

Here we know that, in (5 + 1) = 6 coin of dimes and pennies there is 1 penny

So, in 36 coin of dimes and pennies there are,

=>36 / 6

=> 6 

Therefore, there are 6 pennies.

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

The parameters given in this sample are:

Population proportion: p = 0.35

Sample size: n = 90

The standard error is calculated as:

Standard error = √(0.35 × 0.65/90) = 0.05

phat = sample proportion

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z₁ = (0.32 - 0.35)/0.05 = -0.6

z₂ = (0.46 - 0.35)/0.05 = 2.2

Using online p-value between two z-scores calculator, we have:

p = 0.7118

Hence, the probability that the sample proportion is between 0.32 and 0.46 is 0.7118

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

To find the proportion of a given value within a sample, you need to divide the number of occurrences of that value by the total sample size.

In this case, the proportion = 0.35

sample = 90 is not provided.

First, Standard error = √(0.35 * 0.65/90) = 0.05

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z1 = (0.32 - 0.35)/0.05 = -0.6

z2 = (0.46 - 0.35)/0.05 = 2.2

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Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer: well it depends on what comes first but 9

Step-by-step explanation:

Answer:

Expression : $462.30 * m

In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.

Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.

Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.

Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.

Alternate interior angles are congruent, as well as alternate exterior angles.

By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.

It is important to measure angles systematically and compare them to find congruent or equal measures.

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