a postal carrier can deliver to 130 houses in a 2.5 hour period. at this rate, how many will it take to deliver to 312 houses?

Answer: 6 pupils

Step-by-step explanation:

55-12=43

28+21=49

49-43=6

Answer: 75 in

Also could you mark my answer as brainliest? It helps and doesnt hurt

The given expression 2x+3y =- 9 is compared with the general form y=mx+c. And the slope is -2/3.

A line's direction and steepness are both expressed by a numerical value called the slope or gradient of the line. It provides the ratio of how much that y increases when x increases by a certain amount. This is therefore given by the general expression y=mx+c where y-intercept is denoted by c and slope by m.

First, subtracting both sides of the given expression by 2x, we get,

[tex]\begin{aligned}2x + 3y - 2x &= -9 - 2x \\3y &= -9 - 2x\end{aligned}[/tex]

Now divide the above expression by 3, and we get,

[tex]\begin{aligned}y=-3-\frac{2x}{3}\end{aligned}[/tex]

Comparing the above expression with the general form of the slope, we get the slope as  -2/3.

The complete question is -

What is the slope of 2x+3y =- 9?

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Multiplying polynomials is done by applying the Distributive Property when necessary.

What is Distributive Property ?

The Distributive Property states that multiplying sum of two or more addends by a number will give same result as multiplying each addend individually by number and then adding products together.

There are three steps to multiply a polynomial ;

(i) We multiply each term in one polynomial by each term of other polynomial by using the distributive law.

(ii) Next , we add powers of same variables using exponent rule.

(iii) Next we simplify the resulting polynomial by adding or subtracting  like terms.

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Answer:

2x+5=21

2x+5-5=21-5

2x=16

2x/2=16/2

2x+2=18

2x+2-2=18-2

2x=16

2x/2=16/2

Step-by-step explanation:

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

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Domain: Real numbers.

Range: Set of output value.

What is the Range and domain of the function?

The domain of the function is the set of all input values, or the set of x-values, for which the function is defined.

The range of the function is the set of all possible output values, or the set of y-values, that the function can produce.

The domain of the function is all real numbers since there are no restrictions on the input x.

The range of the function is the set of output values, which in this case is {5}.

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There is no solution for this equation j+3/8j=3/4

To find the solution to the equation, We move all terms to the left:

j+3/8j-(3/4)=0

Domain of the equation: 8j!=0

j!=0/8

j!=0

j∈R

We add all the numbers together, and all the variables

j+3/8j-(+3/4)=0

We get rid of parentheses

j+3/8j-3/4=0

We calculate fractions

This is to say that there is no solution for the function.

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correct question:

What is the Solution for j+3/8;j=3/4 equation:

Answer:

The sentence "Eight more than the quotient of a number and 4 equals 5" can be translated into the following equation:

(b / 4) + 8 = 5

Where b is the unknown number, and 4 is the divisor.

Answer:

b = - 12

Step-by-step explanation:

let the number be b

the quotient ( division ) of b and 4 is [tex]\frac{b}{4}[/tex] , then

[tex]\frac{b}{4}[/tex] + 8 = 5 ← equation

to solve for b

subtract 8 from both sides

[tex]\frac{b}{4}[/tex] = - 3 ( multiply both sides by 4 to clear the fraction )

b = - 12 ← value of b

Answer:

Step-by-step explanation:

THE OUTLINER IS 28!

Optimal allocation for estimating the population mean is 16.7 and 83.7 sample units.

Optimal allocation for estimating the difference of the means of the strata,μH-μL is 26.4 and 73.6 sample units.

a) To find the optimal allocation for estimating the population mean, we want to minimize the variance of the estimator. One common method for this is to use the proportional allocation, where the proportion of the sample allocated to each stratum is equal to the proportion of the population in that stratum.

In this case, the proportion of the population in stratum h is 100,000 / (100,000 + 500,000) = 0.167, and the proportion of the population in stratum L is 1 - 0.167 = 0.833.

So, the optimal allocation for estimating the population mean would be:

Stratum h: 16.7% of the sample, or 16.7% * 100 = 16.7 sample units

Stratum L: 83.3% of the sample, or 83.3% * 100 = 83.3 sample units

b) To find the optimal allocation for estimating the difference of the means of the strata, μH-μL, we again want to minimize the variance of the estimator. One method to achieve this is to use the Neyman allocation, where the sample size is allocated to each stratum in such a way that the variance of the estimator is minimized.

To do this, we need to know the variances of the strata, which are given as 20^2 and 12^2 respectively. The optimal allocation is given by the ratio of the variances, which is:

(12^2) / (20^2 + 12^2) = 144/544 = 0.264

So, the optimal allocation for estimating the difference of the means of the strata is:

Stratum h: 26.4% of the sample, or 26.4% * 100 = 26.4 sample units

Stratum L: 73.6% of the sample, or 73.6% * 100 = 73.6 sample units

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The domain function f/x )= x 1 is a mathematical expression that describes the relationship between an independent variable (x) and a dependent variable (f(x)).

The equation states that f(x) is equal to x minus 1. This means that for every value of x, there will be a corresponding value of f(x) that is one less than the value of x. For example, if x is 5, then f(x) will be 4; if x is 3, then f(x) will be 2; and so on.

Domain function f/x )= x 1 is a mathematical function that describes the relationship between a given input (x) and the output (f(x)). In this case, the output (f(x)) is always equal to the input (x) plus one. That is, for any given value of x, the output (f(x)) will be one greater than the input (x). For example, if x is equal to 5, then f(x) would be equal to 6.

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The interest on the spent of $2000 will be $60.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Skarleth is considering whether to apply for a credit card or debit card at her bank. The credit card will charge 3% interest if she does not pay her balance in full each month. If she spends $2,000.

The amount of interest will be calculated as:-

Amount = 2000 x 3%

Amount = ( 2000 x 3 ) / 100

Amount = $60

Therefore, the interest on the spent of $2000 will be $60.

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The value of (a)  125 / 78125 and  (b)  1296 / 7776.

What is exponential power?

In mathematics, power defines a base number raised to the exponent, where the base number is the factor that is multiplied by itself and the exponent denotes the number of times the same base number is multiplied.

To solve 5³ * 5⁻⁷, we can simplify the exponents first:

5³ = 125

5⁻⁷ = 1 / 5⁷

So, the expression simplifies to:

125 * (1 / 5⁷) = 125 / 78125

To solve 6⁴ * 6⁻⁵, we can simplify the exponents first:

6⁴ = 1296

6⁻⁵ = 1 / 6⁵

So, the expression simplifies to:

1296 * (1 / 6⁵) = 1296 / 7776

Hence, The value of (a)  125 / 78125 and  (b)  1296 / 7776.

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Answer: number c I think

Step-by-step explanation:

For the linear function y = 0.7x, option A: An additional day on the medicine is associated with 0.7 pounds of weight gain is the correct answer.

What is a linear function?

A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions.

The given linear function is y = 0.7x.

Where x represents the number of days on the medicine.

y represents the weight gain, in pounds.

The slope intercept form is y = mx + b, where m is slope.

So, the slope of y = 0.7x is m = 0.7.

If x = 2 , then y will be -

y = 0.7(2)

y = 1.4

If x = 3 , then y will be -

y = 0.7(3)

y = 2.1

Therefore, it can be seen that when the number of days on the medicine is increased the weight gain also increases with 0.7 pounds.

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The correct expression to represents the final price of the item is,

⇒ p + 7p/100

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The original price of an item is p has a increased by 7%.

Now, The increased price is find as;

⇒ Increased price = 7% of p

                             = 7p/100

Thus, The final price of the item is,

⇒ p + 7p/100

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One small container fills 1/15 gallons of water. Therefore, if the fish bowl can hold 1/3 gallons of water, then one small container can hold 1/15 gallons of water.

1/3 gallons of water in the fish bowl divided by 5 smaller containers = 1/15 gallons of water in one small container.

Andrew purchased a fish bowl that has the capacity to hold 1/3 gallons of water. To fill the fish bowl with water, he used smaller containers. It took him 5 of these smaller containers to fill the fish bowl. This means that each small container filled 1/15 gallons of water. Therefore, if the fish bowl can hold 1/3 gallons of water, then one small container can hold 1/15 gallons of water.

One small container fills 1/15 gallons of water.

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The place value of the underlined digits are

1. thousandths

2. hundredths

3. hundredths

4. hundredths

5. hundredths

6. tenths

7. thousandths

8. tens

9. Ten thousandths

10. hundredths

Place Value and Value

Place value is the designation for a digit's location within a number. It determines the value of a digit. Multiplying a digit by its place value will reveal the value of that digit.

1. place value of 2. 284= thousandths

2. place value of 2. 6853 =hundredths

3. place value of 3. 1763=hundredths

4. place value of 19. 0365=hundredths

5. place value of 0. 0128=hundredths

6. place value of 0. 827=tenths

7. place value of 4. 7659=thousandths

8. place value of 4. 7659 =tens

9. place value of  0. 8273 =Ten thousandths

10. place value of 21. 843​ =hundredths

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Answer:

27 vehicles

Step-by-step explanation:

2/3 vehicles = 18

1/3 vehicles = 18 ÷ 2 = 9

3/3 vehicles = 9 x 3 = 27

The sample when Mr.Blue wants to randomly select 10 athletes on the track team to lead stations for the day is 20 athletes.

Sampling is the process of choosing a portion of a statistical population to estimate characteristics of the entire population in statistics, quality control, and survey methodology. Samples that are representative of the population under study are sought after by statisticians.

A representative subset of a population is chosen, processed, and analyzed using the statistical analysis technique known as data sampling. It is also used to spot trends and extrapolate patterns in a population as a whole. The sample here are the 10 athletes picked.

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"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.

What is developmentally ?

In education, the term "developmentally" refers to the idea that students should be taught in a way that is appropriate for their developmental level. Developmental teaching is a student-centered approach that takes into account the students’ abilities, interests, and needs as they learn.

Elementary and Middle School Mathematics: Teaching Developmentally is a textbook that provides an overview of the principles and practices of teaching mathematics in the elementary and middle school levels. It is designed to help teachers understand the mathematical concepts and skills that students need to learn at each grade level, as well as the best ways to teach those concepts and skills. The book covers a wide range of topics, including number sense and operations, algebra, geometry, measurement, and data analysis. It also provides strategies for differentiating instruction, using technology, and assessing student learning. The book is written by John A. Van de Walle and Karen S. Karp, and it is widely used as a textbook for teacher education programs and professional development workshops.

"Elementary and Middle School Mathematics: Teaching Developmentally" is a widely used textbook for teaching math at elementary and middle school levels.

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There is the average decrease in temperature which is -2.5 degrees per hour.

For the given data:

So,

Difference in temperature =  32.7 - 45.2

                                            =  -12.5

Total time from 8:00 pm to 1:00 am = 5 hours.

Then,

Average change in temperature per hour = -12.5 / 5 = -2.5 degrees.

Thus, there is the average decrease in temperature which is -2.5 degrees per hour.

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The ratios 40/18 and 27/11 are not equal because 20/9 and 3/1 are different fractions. They stand for various proportional connections between two quantities, in other words.

We need to see if the ratios of 40/18 and 27/11 fall to the same fraction when the numerator and denominator are both divided by their largest common factor (GCF).

Given that the GCF of 40 and 18 is 2, we can obtain 20/9 by reducing both the numerator and denominator of 40/18 by 2. Since the GCF of 27 and 11 is also 11, we obtain 3/1 when we divide the numerator and denominator of 27/11 by 11.

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The probability that a student, chosen at random, does not study Chemistry is 0.49.

What is Probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

From the Venn diagram -

The number of students that study biology and physics = 2

The number of students that study biology and chemistry = 6

The number of students that study chemistry and physics = 4

The number of students that study only physics = 5

The number of students that study only biology = 7

The number of students that study only chemistry = 8

The number of students that study all the subjects = 3

The number of students that study none = 6

So, the total number of students a = 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 = 41

The number of students that study chemistry = 8 + 6 + 3 + 4 = 21

The number of students that do not study chemistry b = 41 - 21 = 20 students

The probability chosen at random that child does not study chemistry =  b/a -

= 20/41

= 0.49

Therefore, the probability value is 0.49.

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Answer: x= 4 and y= 540

You should read the corresponding values inorder to figure out the other value

The measurements in (a) 3 inch, 5 inch, 7 inch  produce a triangle. Other two measurements do not produce a triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The properties of the triangle are:

Using second properties we find that which of the following measures produce a triangle.

In a) 3 inch, 5 inch, 7 inch, the sum of the length of two smallest sides are

3 + 5 = 8 inch, which is greatest from the third side.

So this measures produce a triangle because the sum of the length of the two sides of a triangle is greater than the length of the third side.

In b) 5cm, 7cm, 13 cm, the sum of the length of two smallest sides are

5 + 7 = 12 cm, which is smallest from the third side

So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.

In c) 14.23ft, 18.23ft, 36.23ft, the sum of the length of two smallest sides are

14.23 + 18.23 = 32.46ft, which is smallest from the third side.

So this measures does not produce a triangle because the sum of the length of the two sides of a triangle is smaller than the length of the third side.

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Answer:

C.  (30 x 4) x (30 x 5)

Step-by-step explanation:

30 x (4 x 5)

We distribute and get

(30 x 4) (30 x 5)

So, the answer is C. (30 x 4) x (30 x 5)

Answer:

D

Step-by-step explanation:

30x(4x5)=(30x4)x5

They are all multiply, so Parentheses can in any two of them.

The value of √14 lies between 3.70 and 3.75.

The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root.

Given:

We have to √14.

So, the value of √14 ≈ 3.74

Now, we can solve for all the answer .

A) 19/6 = 3.1666...

22/7 = 3.1428...

So, It cannot be the answer.

B) Doesn't need to be solved.

3.17

3.71

So, It cannot be the answer.

C)√4 = 2

√9 = 3

So, It cannot be the answer.

D) Doesn't need to be solved.

3.70

3.75

So, It can be the answer.

Hence, √14 lies between 3.70 and 3.75

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