Review the Monthly Principal & Interest Factor chart to answer the question:


FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27


Calculate the monthly payment, for a 15-year term mortgage, after a 20% down payment on a $181,700.00 purchase price, for a household with a 760 credit score.
$1,226.84
$1,365.71
$1,528.93
$1,834.46

The dimensions of the irregular hexagon are 17 cm, 15 cm, 14 cm, 13 cm, 22 cm and 17 cm

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

Shape = irregular hexagon

Also, we have

Perimeter = 98 cm

The perimeter of a shape is the sum of its side length

An irregular hexagon has six unequal sides

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

17 + 15 + 14 + 13 + 17 + 22 = 98

This means that the side lengths are 17 cm, 15 cm, 14 cm, 13 cm, 22 cm and 17 cm

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The surface area of the triangular base prism is 360 cm².

The prism above is a triangular base prism. The surface area of the triangular base prism can be calculated as follows:

Therefore,

surface area of a triangular prism = (a + b + c)l + bh

where

Therefore,

surface area of a triangular prism = (5 + 12 + 13)10 + 5(12)

surface area of a triangular prism = (30)10 + 60

surface area of a triangular prism = 300 + 60

surface area of a triangular prism = 360 cm²

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150 miles is the same as 150*5280 = 792000 feet, and one hour is equivalent to 60*60 = 3600 seconds. Now we divide 792000 feet by 3600 seconds to get the equivalent rate: 792000 ft/3600 sec = 220 ft/second. Now, we multiply the rate by 5 and get 1100 feet per 5 seconds. So, our answer is 1100 feet.

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

The graph of the piecewise function for this problem is given by the image presented at the end of the answer.

A piece-wise function is a function that has different definitions, depending on the input of the function.

The definitions to the function in this problem are given as follows:

Hence the graph of the piecewise function for this problem is given by the image presented at the end of the answer.

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Answer:

12%

Step-by-step explanation:

chatgpt

To find the experimental probability of rolling a total of 9 on two number cubes, we need to determine the number of times the total of 9 was rolled and divide it by the total number of trials.

From the given results, we can see the following pairs that have a total of 9:

(3, 6)

(4, 5)

(4, 5)

(6, 4)

(2, 1)

(1, 6)

There are 6 trials where the total is 9. Since there were 50 total trials, the experimental probability of rolling a total of 9 is:

Experimental probability = Number of favorable outcomes / Total number of outcomes

Experimental probability = 6 / 50

Experimental probability = 0.12 or 12%

Therefore, the experimental probability of rolling a total of 9 on two number cubes, based on the given 50 trials, is 12%

1. The students rolled two number cubes 50 times and wrote down the results.

2. They counted the number of times the dice added up to 9.

3. They found that the dice added up to 9 six times.

4. To calculate the experimental probability, they divided the number of times the dice added up to 9 (6) by the total number of trials (50).

5. They simplified the fraction and found that the experimental probability of rolling a total of 9 was 6/50 or 0.12.

6. The experimental probability is the likelihood of an event happening based on the results of an experiment.

7. In this case, the students found that there is a 12% chance of rolling a total of 9 on two number cubes based on their 50 trials.

8. The formula used to calculate experimental probability is:

Experimental probability = Number of favorable outcomes / Total number of outcomes

9. The name of the formula is "Experimental Probability."

10. It is important to watch the number of trials and make sure there are enough trials to get accurate results.

11. For example, if the students rolled the dice only 10 times, the experimental probability might not be as reliable.

12. A real-world example of experimental probability could be flipping a coin to see how often it lands on heads. By flipping it many times, we can calculate the experimental probability of getting heads.

bard ai

Here is the answer rewritten in easy-to-understand terms:

There are 4 ways to roll a 9 on two number cubes. In the simulation, there were 2 instances of rolling a 9, so the experimental probability of rolling a 9 is 2/50 = 0.04.

Here is the answer rewritten in a numbered list format:

1. There are 4 ways to roll a 9 on two number cubes.

2. In the simulation, there were 2 instances of rolling a 9.

3. The experimental probability of rolling a 9 is 2/50 = 0.04.

Here is the answer rewritten in a brief format:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04. This means that out of 50 trials, there were 2 instances of rolling a 9.

Here is the answer rewritten in a synopsis format:

In a simulation of 50 trials, there were 2 instances of rolling a 9 on two number cubes. This gives an experimental probability of 2/50 = 0.04.

Here is the answer rewritten in an abstract format:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04. This means that out of 50 trials, there were 2 instances of rolling a 9.

Here is the answer rewritten in a simple and easy 1st grade analogy:

If you flip a coin 50 times, you would expect to get heads about 25 times. This is because there are two sides to a coin, and each side has an equal chance of landing face up. Similarly, if you roll two number cubes 50 times, you would expect to get a total of 9 about 2 times. This is because there are 4 ways to roll a 9, and each way has an equal chance of occurring.

Here is the answer summarized in 1 sentence:

The experimental probability of rolling a 9 on two number cubes is 2/50 = 0.04.

Here is the answer to the math part:

```

Total number of trials: 50

Number of trials where a 9 was rolled: 2

Experimental probability of rolling a 9: 2/50 = 0.04

```

Here is the formula used:

```

Experimental probability = (Number of successes / Total number of trials)

```

Here is the name of the formula:

The formula used is called the experimental probability formula.

Here is what to watch:

When calculating the experimental probability, it is important to make sure that the total number of trials is large enough to be representative of the actual probability. If the total number of trials is too small, the experimental probability may not be accurate.

Here is an example:

If you roll two number cubes 10 times, you might not get a total of 9 at all. This does not mean that the experimental probability of rolling a 9 is 0. In fact, the experimental probability of rolling a 9 is still 2/50 = 0.04. However, because the total number of trials is so small, the experimental probability may not be accurate.

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

Step-by-step explanation:

There is 12 inches in a foot:  therefore, 12inches  x 7ft. = 84 ft.

Answer: 84 inches

Step-by-step explanation:

A conversion factor is a number that is used to multiply or divide one set of units into another.  For instance, 12 inches equals one foot when converting between inches and feet.

Since 1 foot = 12 inches

And we are trying to figure out how much inches are in 7 ft.

We can create a conversion (or cross multiply)

[tex]\frac{12}{1} =\frac{x}{7}[/tex]

Where inches are in the numerator and ft are in demoninator.

When cross multiplying (multiplying in a diagonal) you get:

x = 84 inches

So 7 ft equals 84 inches.

---

A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.

--

For simplification the exponent rules must be known to us .

The exponent rules are mentioned below:

1)

Now,

Simplifying,

[(-0.5)² *(-0.5)²]²

Apply property 3,

[(-0.5)^4]^2

(-0.5)^8

2)

(3.3³)3

Simplify by property 3

= 3 ^12

3)

(y² × y)²÷4y²

Simplify by rule 3 and 4,

= y^6 ÷ 4 y²

= y^4/4

4)

(a^3 × a^6)^3/(a^4)^5

Simplify by rule 3 and 4,

=a^7

Hence with the use of exponent rules the expressions can be simplified.

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The correct matches are 1) Approximately Bell-Shaped, 2) Skewed Right, 3) Uniform and 4) Skewed Left.

Uniform: In a uniform distribution, the data is evenly spread across the entire range, resulting in a rectangular-shaped histogram. All values have roughly the same frequency or probability. It suggests that there is an equal chance of observing any value within the given range.

Approximately Bell-Shaped: This description refers to a distribution that closely resembles a bell curve or a normal distribution. The data is symmetrically distributed around a central peak, with most values clustered near the mean. The histogram will have a characteristic bell shape, with the highest frequency at the center and gradually decreasing frequencies on both sides.

Skewed Left: A left-skewed distribution, also known as negatively skewed or left-tailed, is characterized by a long tail extending towards the lower values. The majority of the data is concentrated on the right side of the distribution, and the tail extends to the left. The histogram will show a longer tail on the left side and a shorter right side.

Skewed Right: A right-skewed distribution, also known as positively skewed or right-tailed, has a long tail extending towards the higher values. The majority of the data is concentrated on the left side of the distribution, and the tail extends to the right. The histogram will exhibit a longer tail on the right side and a shorter left side.

Hence the correct matches are 1) Approximately Bell-Shaped, 2) Skewed Right, 3) Uniform and 4) Skewed Left.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

x = 36

y = -1

Step-by-step explanation:

The substitution method is when the value of one variable from one equation is substituted in the other equation.

y = 10/3x - 121

y = 5/4x - 46

In this case you substitute one of the equations for y.

5/4x - 46 = 10/3x - 121

Lets set the coefficient being multiplied by x to a number with a common demoninator.

15/12x - 46 = 40/12x - 121

Next isolate x and combine like terms.

15/12x - 46 = 40/12x - 121

-15/12x          -15/12x

-46 = 25/12x - 121

+121              +121

75 = 25/12x

*12/25    12/25

36 = x

------

Now lets plug x in to solve for y

(you pick either equation to do this)

y = 5/4(36) - 46

y= 45 - 46

y = -1

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

 (a) at least one x-intercept

  (b) at least one y-intercept

  (e) the domain of x

Step-by-step explanation:

Given g(x) = (-4x² +36)/(x+3) and f(x) as shown in the graph, you want to know what features the functions have in common.

The function g(x) can be simplified:

  [tex]g(x)=\dfrac{-4x^2+36}{x+3}=\dfrac{-4(x^2 -9)}{x+3}=\dfrac{-4(x+3)(x-3)}{x+3}\\\\g(x)=-4(x-3)\quad x\ne-3[/tex]

This is the equation of a straight line with negative slope and a hole at coordinates (-3, 24). That is, the domain excludes x = -3.

The line has x-intercept (3, 0) and y-intercept (0, 12).

Both functions have an x-intercept at (3, 0), at least one x-intercept, choice A.

Both functions have a y-intercept at (0, 12), at least one y-intercept, choice B.

Only function f(x) has an oblique asymptote.

Only function f(x) has a vertical asymptote.

Both functions exclude x = -3 from their domains, so they have the same domain, choice E.

  Choices A, B, E identify the shared features.

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The value of sinθ is √17/7 and the value of [?] is √17

According to The Pythagorean identity,

Sin²θ + Cos²θ = 1

This is a Trigonometric equation, where 'sin' refers to 'sine' and 'cos' refers to 'cosine' which are functions revealing the shape of a right-angled triangle.

Given, cosθ=4√2/7

Cos²θ = 32/49

From equation 1 we get,

Sin²θ = 1 - Cos²θ

Sin²θ = 1 - (32/49)

Sin²θ = (49-32)/49

Sin²θ = 17/49

Sinθ = √(17/49)

Sinθ = √17 / 7

Given, sinθ = √[?] / [ ]

[?] = 17

Therefore, The value of sinθ is √17/7 and the value of [?] is √17

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The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = [tex]\sqrt{16\cdot3}[/tex] =[tex]\sqrt{16} \cdot \sqrt{3}[/tex]

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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The probability of landing on purple to the nearest hundredth: 0.15

The total number of spins is 84, and the probability of landing on purple is 13/84 = 0.15476.

Rounding to the nearest hundredth, this is 0.15.

Elaborating:

Number of times the spinner landed on purple: 13

Total number of spins: 84

Probability of landing on purple: (13/84) = 0.15476

Probability of landing on purple to the nearest hundredth: 0.15

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The Complete Question

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:

Spinner Results

Color Frequency

Red 18

Blue 15

Green 20

Yellow 18

Purple 13

Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.

Answer:

It's C: 400

Step-by-step explanation:

The inside dimensions of the tank are:

h = 40 inches

w = 40 inches

l = 48 inches

Convert to Feet:

h = 40 inches / 12 = 3.33 feet

w = 40 inches / 12 = 3.33 feet

l = 48 inches / 12 = 4 feet

Volume of one tank = 3.33 feet * 3.33 feet * 4 feet

= 44 cubic feet (approximately)

Since there are nine tanks, we multiply the volume of one tank by nine to get the total volume:

Total volume = 44 cubic feet * 9

= 396 cubic feet

Rounding the answer to the nearest whole number, the total volume is approximately 396 cubic feet.

Therefore, the correct answer among the given options is 400.

Hope that helped!

Answer: clean your shoes

Step-by-step explanation:

since you're walking on ice cream , your shoes will be sticky so one should clean them shoes with water.

To find the value above which the top 25% of scores lie, we need to find the z-score corresponding to the 75th percentile and use it to compute the corresponding raw score.

The z-score corresponding to the 75th percentile can be found using a standard normal distribution table or calculator. The 75th percentile corresponds to a cumulative probability of 0.75, so we need to find the z-score such that the area under the standard normal curve to the left of that score is 0.75.

Using a standard normal distribution table, we can look up the z-score corresponding to a cumulative probability of 0.75, which is approximately 0.67.

Alternatively, we can use the inverse cumulative distribution function (also known as the percent point function) of the standard normal distribution to find the z-score. In Python, we can use the scipy.stats.norm.ppf function to do this:

from scipy.stats import norm

z_score = norm.ppf(0.75)

Either way, we find that the z-score corresponding to the 75th percentile is approximately 0.67.

To find the raw score corresponding to this z-score, we can use the formula:

z = (x - mu) / sigma

where x is the raw score, mu is the mean, and sigma is the standard deviation. Solving for x, we get:

``x = z * sigma + mu

Plugging in the values for `z`, `sigma`, and `mu`, we get:

x = 0.67 * 40 + 300

Simplifying the expression, we get:

x = 326.8

Therefore, the top 25% scores are above the value of 326.8.

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Answer:

Step-by-step explanation: 6(1 - cos²0) - 5/3.3cos0

= 6 - 2.3cos²0 - 5/3.3cos0 =  6 - 2.4 - 10/3 = -16/3

The phrase "it is a subset of any X ∈ C" indicates that the subject in question (denoted by "it") is a subset of every element X that belongs to the set C. In other words, whatever "it" refers to is contained within every element of the set C.

The phrase "it is a subset of any X ∈ C" indicates that the subject in question (denoted by "it") is a subset of every element X that belongs to the set C. In other words, whatever "it" refers to is contained within every element of the set C.

To provide a clearer understanding, let's break it down further:

"Subset": A subset is a collection of elements that are all contained within another set. If set A is a subset of set B, it means that every element of A is also an element of B.

"Any X ∈ C": Here, X represents a generic element of the set C. The phrase "X ∈ C" denotes that X belongs to the set C. It implies that X is one of the elements within the set C.

Combining the two parts, "it is a subset of any X ∈ C" means that "it" (referring to a specific set or collection of elements) is included in every element X of the set C. In other words, every element of C contains "it" as a subset.

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Based on the information given, it takes 16 days for the whole job to be competed.

Worker's efficiency is a term that is used to describe the effectiveness in which a worker performs their job, therefore increasing productivity.

General, the efficient worker is productive, and tend to organize their time and effort in order to complete daily tasks.

In this case, we know that 10 workers can finish the remaining 15 days

Then 1 worker will do the same job in 15x10= 150 days

Therefore, we have one worker one-day job = 1/150

=>6 workers 5 days job = 6x5/150= 1/5 ..(1)

=>8 workers 3 days job = 8x3/150= 4/25 ..(2)

Hence, 4 more workers joined after 8 days

=> Making a total number of workers now available 12.

=> Work remaining = 1 - 1/5- 4/25= 16/25

=. Remaining work completed by 12 workers in 150/12 x 16/25= 8 days …(3)

Thus, the total work was completed in

5 + 3 +8 = 16 days

Hence, in this case, it is concluded that the correct answer is 16 days.

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The full question

10 workers can finish the job in 15 days. For the first 5 days, only 6workers worked on the job. Then for the 3 next days 2 more workers joined them. To finish the job, 4 more workers joined them. After how many days was the whole job done?

Answer:

320 g

Step-by-step explanation:

To find the recommended daily amount of protein, we can set up a proportion using the given information:

30% of the recommended daily amount = 96 grams

Let "x" represent the recommended daily amount of protein. We can set up the proportion as:

30/100 = 96/x

To solve for x, we can cross-multiply and solve the equation:

30x = 100 * 96

30x = 9600

Dividing both sides by 30:

x = 9600 / 30

x ≈ 320

Answer:

define the height above the ground, h, as a function of time, t, using the sine function:

h(t) = A * sin(B * t + C) + D

A represents the amplitude of the function, which is half of the vertical distance covered by the rider (in this case, 30 feet).

B represents the frequency of the function, which is related to the number of complete cycles or revolutions in a given time period. In this case, the Ferris wheel completes 2 revolutions per minute, so B = 2π (since 2π radians represents one complete revolution).

C represents the phase shift of the function, which accounts for the initial position of the rider. Since the rider starts at the lowest point, there is no phase shift, so C = 0.

D represents the vertical displacement of the function, which is the average height above the ground. In this case, the center of the wheel is 30 feet above the ground, so D = 30.

Putting it all together, the trigonometric function that can be used to model the rider's height, h(t), above the ground after t seconds is:

h(t) = 30 * sin(2π * t) + 30

Therefore, the sine function can be used to model the rider's height

Applying the Angle Addition Postulate, the measure of angle BDC is calculated as: 57 degrees.

The Angle Addition Postulate establishes that when two angles are adjacent, the measure of the resulting angle formed by their combination is equal to the sum of their individual measures.

Therefore, according to the Angle Addition Postulate, we would have:

(-6x + 11) + (-7x + 15) = 104

Solve for x:

-6x + 11 - 7x + 15 = 104

-13x + 26 = 104

-13x = 104 - 26

-13x = 78

x = -6

Measure of angle BDC = -7x + 15

Plug in the value of x:

Measure of angle BDC = -7(-6) + 15 = 57°

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The function represented by the graph is f(x) = ln(0.5x).

The graph displays a diminishing curve that begins above the x-axis and moves closer to it as x grows.

Logarithmic functions most  typically take this structure of graph.

Only f(x) = ln(0.5x), where ln stands for the natural logarithm, is one of the many functions that can express a logarithm.

The inverse of the exponential function with base e is the natural logarithm, which has a base of e (about 2.718).

The rate at which the function decrements is determined by the 0.5 coefficient in ln(0.5x).

The argument of the logarithm (0.5x) as it  grows as x increases, causes the function to approach the x-axis more slowly.

This is consistent with how the graph in the provided graphic behaves.

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Hello!

sweets     200      150

kg               5          x

x = 5 × 150 ÷ 200 = 3.75

Answer:

3.75kg

Step-by-step explanation:

200 sweet = 5kg

So 150 sweet will be X kg

200 sweet= 5kg

150 sweet =X

CROSS MULTIPLY

Therefore

200 × X =150×5

200X =750

divide both sides by 200

X=750\200

X= 3.75kg