Can anyone help me with both problems I need help

Answer:

Explanation:

Selling price:$75

Profit made:25%

Cost price:100/100-25

100/75

1.3333

If a number is completely divisible by another number then the quotient will be a whole number and the remainder will be zero.

As the name suggests, divisibility tests or division rules in Maths help one to check whether a number is divisible by another number without the actual method of division.

Finding the product of two or more corresponding integers is done mathematically through the action of multiplication. It is frequently represented by the letters "x" or "*." In order to discover the result of multiplication, a multiplicand, also known as the multiplicand, is multiplied by a multiplier, also known as the multiplier. The result of the two integers, for instance, is 56 if the multiplicand and multiplier are both 8. A multiplication process always yields a greater number as the outcome than either of the initial factors. Multiply is also used to describe the process of adding a number to itself a certain number of times, as in "7 multiplied by 3 equals 21."

How to solve?

For instance, if the multiplication error is 8 x 7 = 56, then the matching division error  56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.

This connection is true for every multiplication and division problem as long as the numbers are utilised consistently in both operations.

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The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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Answer:  

30 + 18x = 6(5+3x)

Step-by-step explanation:

for this all you have to do is distribute the 6 by doing 6 x  5 = 30 and  

6 x 3 = 13 and then you just have to add them together to get

30 + 18x = 30 +18x

Answer:

Step-by-step explanation:

C

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

-----------------------------

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

Answer:

An adult ticket is $8.00 and a child's ticket is $5.50.

Step-by-step explanation:

We form a system of 2 equations and solve them.

Let a be the price of adult ticket and c the price of a child's.

2a + 4c = 38         (A)

3a + 3c = 40.5      (B)

Multiply equation A by 3 and equation B by -2:

6a + 12c = 114

-6a - 6c = -81        Adding these 2 equations:

0 + 6c = 33

c = 33/6 = 5.5.

Now we substitute for c in equation A:

2a + 4(5.5) = 38

2a = 38 - 22

2a = 16

a = 6.

Let's now check these results by substitution in equation B:

3a + 3c = 40.5

3(8) + 3(5.5) = 24.0 + 16.5 = 40.5

- so it checks out.

i. After the first year, Jacqueline's investment would be worth £6,210.

ii. After 3 years, Jacqueline's investment would be worth £6,854.52.

iii. To determine how long Jacqueline needs to wait before her investment reaches £9,000, we can use the compound interest formula and solve for time. Let's assume the time required is t years. The formula is:Future Value = Present Value × (1 + Interest Rate)^Time

Rearranging the formula to solve for time:

Time = log(Future Value / Present Value) / log(1 + Interest Rate)

Plugging in the values, we get:

t = log(9000 / 6000) / log(1 + 0.035) ≈ 9.46 years

Therefore, Jacqueline will have to wait approximately 9.46 years to reach a value of £9,000

iv. To calculate the value of the car after 5 years, we can use the compound interest formula. Let's assume the value after 5 years is V.

V = 13200 × (1 - 0.06)^5 ≈ £9,714.72

Therefore, the car will be worth approximately £9,714.72 after 5 years.

v. To find the least number of years until the machine is worth less than £10,000, we can use the compound interest formula. Let's assume the number of years required is n.

10000 = 18800 × (1 - 0.10)^n

Dividing both sides by 18800 and rearranging the equation, we get:

(1 - 0.10)^n = 10000 / 18800

Taking the logarithm of both sides, we have:

n × log(1 - 0.10) = log(10000 / 18800)

Solving for n:

n = log(10000 / 18800) / log(1 - 0.10) ≈ 4.89 years

Therefore, the least number of years until the machine is worth less than £10,000 is approximately 4.89 years.

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In ΔTUV, UV = 14, VT = 19, and TU = 9, The statement about the angles of ΔTUV that must be true is  \(m \angle U > m \angle T > \angle V\) Option 5

This is further explained below.

Generally, A triangle's angle is a measurement of the length of the side that is perpendicular to it.

This indicates that if one of the sides is longer in length, then the measure of the angle opposite to it will also be longer.

The angles in the triangle TUV are denoted by the symbols T, U, and V.

The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.

The length of the opposing sides will immediately determine the measure of the angles, which will be directly proportionate to those angles.

since V T>U V>T U, the arrangement of angles will correspond to this as follows: \(m \angle U > m \angle T > \angle V\) Option 5

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CQ

In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?

$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$

$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$

$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$

$m \angle V>m \angle U>m \angle T$

$m \angle U>m \angle T>m \angle V$

$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$

The largest value of n for which function f(n) could be computed in one second is approximately 2.8 million. The largest value of n is 31,623. The largest value of n is 30.

If calculating f(n) takes nlog₂(n) big operations, and each bit operation is completed in \(10^{-9}\) seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

nlog₂(n) * \(10^{-9}\) seconds = 1 second

Simplifying the equation:

nlog₂(n) =  \(10^{-9}\)

To approximate the largest value of n, we can use trial and error or numerical methods. By trying different values of n, we can find that when n is around 2.8 million, the left-hand side of the equation is close to  \(10^{-9}\) .

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 2.8 million.

If calculating f(n) takes n² big operations, and each bit operation is completed in  \(10^{-9}\)  seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

n² * \(10^{-9}\) seconds = 1 second

Simplifying the equation:

n² =  \(10^{-9}\)

Taking the square root of both sides:

n = √ \(10^{9}\)

Calculating the value:

n ≈ 31622.7766

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 31,623.

If calculating f(n) takes \(2^{n}\) bit operations, and each bit operation is completed in  \(10^{-9}\)  seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

\(2^{n}\) *  \(10^{-9}\)  seconds = 1 second

Simplifying the equation:

\(2^{n}\) =  \(10^{9}\)

Taking the logarithm base 2 of both sides:

n = log₂( \(10^{9}\) )

Calculating the value:

n ≈ 29.897

Rounding to the nearest whole number:

n ≈ 30

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 30.

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Answer:

The quadratic function f(x) = (x-(-2))(x-5) = (x+2)(x-5) = x^2 -3x -10

Step-by-step explanation:

If she makes  \(2\frac{1}{2}\)  batches of muffins then she needs total 5 cups.

Given that,

Amount of flour = \(1\frac{1}{2}\)

Amount of applesauce = 1/2

Since we know that,

A mixed fraction is one that is generated by the addition of a whole number and a fraction.

Then the total amount of cub used for making one batches of muffins

= \(1\frac{1}{2}\) + 1/2

= 3/2 + 1/2

= 2

Therefore total cups needed for one batch of muffins = 2

Then total cups needed for   \(2\frac{1}{2}\) batches of muffins    = 2x  \(2\frac{1}{2}\)

                                                                                          = 2x 1/5

                                                                                          = 5

Thus she needs 5 total cup.          

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Answer:

Step-by-step explanation:

The time interval of interest is 6 hours

There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.

The probability can be found using the Poisson distribution with parameter

λ=49/12

The slope-intercept form of the equation that describes the cost of making the copies is \(y = 0.05x + 1.89\).


Let x be the number of copies and y be the cost of making the copies.

According to the problem, the copy place charges a one-time fee of $1.89 for any order, then $0.05 per copy.

This can be expressed as:

\(y = 0.05x + 1.89\)

This is in slope-intercept form, where m is the slope and b is the y-intercept. In this case, the slope is 0.05, which means that for every additional copy, the cost increases by $0.05. The y-intercept is 1.89, which represents the one-time fee charged for any order.

Therefore, the equation of the line that describes the cost of making the copies in slope-intercept form is \(y = 0.05x + 1.89\).

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The total number of ways of selecting the committe is; 2100 ways

The formula for probability combinations is;

\(^{n} C_{r}\) = n!/(r!(n - r)!)

We need to first multiply all the combinations since the committee definitely has:

One  chair, a vice chair, a secretary, and 4 additional people. Thus;

¹⁰C₁ * ⁹C₁ * ⁸C₁ * ⁷C₄

Now we know that there can only be seven people chosen from the ten  given people so that combination will look like this;

⇒¹⁰C₇

So the total number of ways in which the selection of committee members can be done is by the selection of required members out of the total selected members.

It can be represented as follows:

(¹⁰C₁ * ⁹C₁ * ⁸C₁ * ⁷C₄)/¹⁰C₇

= 210

But we also need to keep in mind that there are ten different people who can be chosen as the chair, vice chair or secretary so;

210 * 10 = 2100 ways

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Answer:

155 and 25

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.

180-25 = 155

Answer: -25/56

Step-by-step explanation: To find x, we must divide both sides of the equation by 2 4/5. Start by turning both sides into improper fractions:

14/5 x = -5/4

Now we divide -5/4 by 14/5 which is equal to -5/4 * 5/14, giving us the answer of -25/56.

The sum of 2 numbers is 96, this can be expressed as

The larger number is 9 less than 4 times the smaller, this can be expressed as

Now, we replace the second equation in the first one

We use this number to find x.

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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Cara will need 9/16 cups of flour to make 1/4 of the original recipe.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Cara's original recipe requires 1 1/2 cups of flour for the muffins and 3/4 cup of flour for the topping, for a total of 1 1/2 + 3/4 = 2 1/4 cups of flour.

To make 1/4 of the original recipe, Cara needs to multiply each ingredient by 1/4.

1/4 of 1 1/2 cups of flour for the muffins is (1/4) x (3/2) = 3/8 cup of flour.

1/4 of 3/4 cup of flour for the topping is (1/4) x (3/4) = 3/16 cup of flour.

Therefore, the total amount of flour Cara will use to make 1/4 of the original recipe is:

3/8 + 3/16 = 6/16 + 3/16 = 9/16 cup of flour.

Thus, she will need 9/16 cups of flour to make 1/4 of the original recipe.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

The correct order with regard to a claim about a population mean is d. actual distance, number of standard errors, percentage probability.

The first step in assessing a claim about a population mean is to determine the actual distance between the sample mean and the claimed population mean. This involves calculating the difference between the sample mean and the claimed population mean.

The second step is to determine the number of standard errors. This is done by dividing the actual distance by the standard error, which measures the variability of the sample mean.

Finally, the percentage probability is assessed. This involves determining the probability of obtaining a sample mean as extreme as or more extreme than the observed sample mean, assuming the null hypothesis is true. This probability is often referred to as the p-value.

In summary, the correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

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Therefore, the integral of |cos(s)| from 0 to π is 2.

To evaluate the integral of |cos(s)| from 0 to π, we first need to split the integral into two parts because the absolute value function affects the cosine function differently in the given interval.
1. Determine the intervals: From 0 to π/2, cos(s) is positive, so |cos(s)| = cos(s). From π/2 to π, cos(s) is negative, so |cos(s)| = -cos(s).
2. Split the integral: ∫₀ᵖᶦ |cos(s)| ds = ∫₀^(π/2) cos(s) ds + ∫(π/2)ᵖᶦ -cos(s) ds.
3. Integrate both parts: ∫₀^(π/2) cos(s) ds = [sin(s)]₀^(π/2), and ∫(π/2)ᵖᶦ -cos(s) ds = [-sin(s)](π/2)ᵖᶦ.
4. Evaluate the results: [sin(s)]₀^(π/2) = sin(π/2) - sin(0) = 1, and [-sin(s)](π/2)ᵖᶦ = -sin(π) + sin(π/2) = 1.
5. Add the two results: 1 + 1 = 2.

Therefore, the integral of |cos(s)| from 0 to π is 2.

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The same set of data is used to calculate both the geometric and arithmetic means. The geometric mean will most likely be greater if the data are more variable than the arithmetic mean.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value. The arithmetic mean can be calculated as one approach. Divide the total by the total number of values after adding up all the values.

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The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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After answering the provided question, we can conclude that As a result, Jana has a higher batting average than Tasha this season, as she has a batting average of 80% while Tasha has a batting average of 75%.

In mathematics, the average value of a set of integers is calculated by dividing the total number of values by the number of values. To calculate the average value for a dataset, add all of the values together and divide the total by the number of values. In mathematics, the average is the value obtained by adding all of the numbers in a data set and dividing the result by the total number of numbers. As an example, consider the following dataset: 8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7, 35/5 = 7, and 7 is the average.

To determine which player has a higher batting average, we must compute the hit-to-attempt ratio for both Jana and Tasha.

Jana has hit the ball 8 times out of 10 attempts, so her batting average is:

Number of Hits / Total Attempts = Batting Average

Batting Average = 8 out of 10

Batting Average = 0.8 (80%).

Tasha has hit the ball nine times out of twelve attempts, so her batting average is:

Number of Hits / Total Attempts = Batting Average

Batting Average = 9 out of 12

75% batting average = 0.75

As a result, Jana has a higher batting average than Tasha this season, as she has a batting average of 80% while Tasha has a batting average of 75%.

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Answer:

20

Step-by-step explanation:

heart and brainliest pls

Answer:

18

Step-by-step explanation:

you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18

Answer:

\(19:6\)

Step-by-step explanation:

What is a ratio in math?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

So as per the question we have :-

38 empty parking spots

12 full parking spots

the ratio of the number of empty parking spots to the number of full parking spots can be expressed as :

\(= 38:12\)

And by simplifying it to the shortest value possible we get it as

\(19:6\)

Hope this helped you out and if so please help me out by marking me as the brainliest answer,

a fellow student,

Cheers