1. (i) Is 35 a factor of 455?
(iii) Are 5 and 3 factors of 1647?
(v) Are 2, 3, 5, 7 and 11 factors of 4620?​

Answer:

3x+y = total matches

Step-by-step explanation:

hope it helps

Answer:

3y+x is the amount of matches

The equation cannot be simplified any further without providing more information.

Answer:

c

Step-by-step explanation:

If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

the answer is 1,944

Step-by-step explanation:

all you have to do is multiply 9 and 18 then whatever you get there then you multiply 162 by 12 and you get the answer

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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The inequality which is used to represent normal "temperature-range" for  "human-body", is (d) |t − 98.6| ≤ 1.8.

The "average-temperature" of body is = 98.6° F, and it can vary by 1.8°F.

The inequality |t − 98.6| ≤ 1.8 indicates that the absolute difference between the body temperature and the average temperature is less than or equal to 1.8° F.

This means that the body temperature t can vary within a range of 1.8° F from the average temperature of 98.6° F.

Which means, the temperature cam range from :

⇒ 98.6-1.8 ≤ t ≤ 98.6+1.8,

⇒ 96.8 ≤ t ≤ 100.4;

Therefore, the correct inequality is (d) |t − 98.6| ≤ 1.8.

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The given question is incomplete, the complete question is

The average human body temperature is 98.6° F, but it can vary by as much as 1.8° F. Write an inequality to represent the normal temperature range of the human body, where t represents body temperature.

(a) |t − 1.8| ≥ 98.6

(b) |t − 1.8| ≤ 98.6

(c) |t − 98.6| ≥ 1.8

(d) |t − 98.6| ≤ 1.8

Answer: |t − 98.6| ≤ 1.8

Step-by-step explanation: If takes then takes then takes then takes then takes.

Answer:

the area of the parallelogram is 165 cm^2

Step-by-step explanation:

The computation of the area of the parallelogram is given below:

As we know that

area of the parallelogram is = Base × height

So

= 11 cm × 15 cm

= 165 cm^2

hence, the area of the parallelogram is 165 cm^2

The above formula is applied

Answer:

Eli=180 Freda=260 and Geoff=360

Answer:

3x^2-10x+3

Step-by-step explanation:

1. multiply each number

2. simplify

Answer:

No water

Step-by-step explanation:

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer:

Step-by-step explanation:

it is so easy it is pie divided by 45.0547264307549846546725

In a study of 50 students, 30 were found to play soccer while the remaining 20 played hockey. The research indicates that soccer players have a 10% chance.

The study involving 50 students revealed that soccer is the preferred sport for the majority, with 30 students playing it. On the other hand, 20 students were identified as hockey players. The research findings indicate that soccer players have a 10% chance. This means that out of the 30 soccer players in the study, 10% of them are likely to experience a certain outcome or event. However, the specific event or outcome related to the 10% chance is not mentioned in the provided information.

It's important to note that without further context, it is unclear what the 10% chance refers to. It could be related to various aspects, such as scoring a goal, winning a match, or sustaining an injury. Additional details would be required to accurately interpret the significance of the 10% chance in the context of soccer players in the study.

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The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

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Answer:

For number 4 the answer is A. For number 5 the answer is A or C.

Step-by-step explanation:

For number four if you connect the picture it creates a triangular pyramid. For number 5 the line is lying on the plane so it has to be C because it is not above the plane, it is not perpendicular to the plane. A and C can both be an answer choice so i will let you decide which one to pick.

Answer:

Step-by-step explanation:

this is the Answer:

xy/180 km

Step-by-step explanation:

Mathematically, we have it that;

Speed = distance/ time

If he cycles x km in 3 hours

We know that ; 60 minutes = 1 hr

3 hours = 3 * 60 = 180 minutes

So the speed in km per minutes will be;

x km/180 minutes = x/180 km/minute

Recall,

Distance = speed * time

= x/180 * y = xy/180 km

HOPE THIS HELP !!!!!!!!!!!!!!!!!!!!!!!! :D

If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.

Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.

In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.

A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.

In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.

Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.

In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.

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The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

Here, 6k + 10.5 = 3k + 12

         6k - 3k = 12 - 10.5

         3k = 1.5

          k = 1.5/3

          k = 1/2

Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

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Answer:

Step-by-step explanation:

positive

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.

(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.

The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.

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Answer:

y = 4x

Step-by-step explanation:

From the table, using the coordinate points (-1, -4) and (0,0)

Get the slope;

m = y2-y1/x2-x1

m = 0-(-4)/0-(-1)

m = 4/1

m = 4

Get the intercept b;

Substitute m = 4 and (0,0) into y = mx+c

0 = 4(0) + c

c = 0

Get the required equation;

y = mx+b

y = 4x + 0

y = 4x

Hence the required equation is y = 4x

We need to pay $10672 for the object, including the 16% VAT increase.

To calculate the total amount you will have to pay for the object with a 16% increase due to VAT.

Let us determine the VAT amount:

VAT amount = 16% of $9200

VAT amount = 0.16×$9200

= $1472

Add the VAT amount to the initial cost of the object:

Total cost = Initial cost + VAT amount

Total cost = $9200 + VAT amount

Total cost = $9200 + $1472

= $10672

Therefore, you will have to pay $10672 for the object, including the 16% VAT increase.

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An object costs $9200, but it has a 16% increase due to VAT. How much will I have to pay for it?

The ratio of water to lemon juice is 7:1. Thus, 7 cups of water are needed for 1 cup of lemon juice.

The table shows the proportional relationship between the amount of water and lemon juice needed to make lemonade in different quantities. The ratio of cups of water to cups of lemon juice remains constant for each quantity of lemonade. For example, to make 2 cups of lemonade, 1.5 cups of water are needed for every 1 cup of lemon juice. This means that if you want to make 4 cups of lemonade, you would need to double the amount of water and lemon juice required for 2 cups. This proportional relationship can be helpful in scaling the recipe up or down to make different quantities of lemonade.

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Complete question:

A drink recipe book has a table that shows the proportional relationship between cups of water and cups of lemon juice for different amounts of lemonade. If you need 6 cups of lemonade, the table shows you need 1 cup of lemon juice. Enter the number of cups of water needed for 1 cup of lemon juice.

Cups of Lemon Juice Cups of Water

1                                4

2                               8

3                               12

4                               16

Answer:

-120

Step-by-step explanation:

-5(4)=-20

-20(-2)=40

40(-3)=-120

There were 80 orders at the full price of $215 per roll, 49 orders at the $195 price, 42 orders at the $175 price, and only 1 order at the $155 price.

The VLOOKUP function performs a vertical lookup by searching for a value in the first column of a table and returning the value in the same row in the index_number position

(a) To determine the total revenue from these orders, we need to multiply the quantity of each order by the corresponding price per roll, based on the quantity discounts. We can use the VLOOKUP function to look up the price per roll based on the quantity ordered, and then multiply by the quantity ordered. Here's the formula:

=SUMPRODUCT(B2:B173, VLOOKUP(C2:C173, $F$2:$G$5, 2, TRUE))

This formula multiplies the quantity ordered (in column B) by the corresponding price per roll (looked up from the pricing table in columns F and G), and then sums up the results for all orders. The TRUE argument in the VLOOKUP function means that we want to find the closest match to the quantity ordered, but not exceed it (i.e., we want to use the highest price bracket that the order quantity falls into).

The result is $568,575.

(b) To determine the number of orders in each price bin, we can use the COUNT IF function. Here's the formula:

=COUNT IF (G2:G173, "=215") (for the $215 price bin)

=COUNTIES (G2:G173, ">215", G2:G173, "<=195") (for the $195 price bin)

=COUNTIES (G2:G173, ">195", G2:G173, "<=175") (for the $175 price bin)

=COUNTIFS (G2:G173, ">175") (for the $155 price bin)

These formulas count the number of orders where the price per roll falls within each price bin. The first formula counts the number of orders where the price is exactly $215, while the others use the COUNTIFS function to count orders that fall within a range of prices.

The results are:

From-To Price per Roll Number of Orders

1-80 $215 80

81-160 $195 49

161-320 $175 42

321 and up $155 1

So there were 80 orders at the full price of $215 per roll, 49 orders at the $195 price, 42 orders at the $175 price, and only 1 order at the $155 price.

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Answer:

Should be 129,37333333

Answer:

Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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450/30

15

15/3x =5

x= 5

5+2y= 315

5-5+2y =315-5

2y = 310

2y/2 = 310/2

y=155

Step-by-step explanation:

450/45

10

2x+4y=450

2×5=10

10+(4×155)

=620/155

=4

10/5=2