Solve.
2.50 +7.75 = 4 + 3.75d
The solution is d =

The initial amount of cash, P=$5000.

The amount paid for purchase, C=$500.

The balance amount after paying for a purchase is,

Therefore, the credit balance is $4500.

Hence, option c is correct.

Answer: 9 meters

Step-by-step explanation:

Let's list what we know

The garden is in the shape of a triangle

The perimeter of the garden is 27 meters

Each side is the same length

The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides

Since all the sides are the same length we can divide 27 by 3 to find the length of each side

27/3=9

Answer:

Step-by-step explanation:

1.

\(n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5\)

2.

\(-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12\)

3.

\(\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14\)

4.

\(\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30\)

Answer:

11/3 or 3 2/3

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

15 pounds

Step-by-step explanation:

for every 3 parts of dry fruit , four parts of nuts are added.
we know the total composition of the mixture is 35 pounds.


The total Composition of the mixture will be 7 parts

3/7 is dry fruit
4/7 is assorted nut


we can multiply the dry fruit composition to total
= 3/7 * 35 = 3*5 = 15

Pam needs 15 pounds of dry fruit to make the mixture.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Confidence Interval = sample mean ± (critical value * standard error)

To construct a confidence interval for the population mean μ, we need the sample mean, sample standard deviation, sample size, and the desired level of confidence. Let's assume we have collected a random sample of size n from the population.

The formula for the confidence interval is:

Confidence Interval = sample mean ± (critical value * standard error)

The critical value depends on the desired level of confidence and the distribution of the sample. For a given level of confidence, we can find the critical value from the corresponding t-distribution or z-distribution table.

The standard error is calculated as the sample standard deviation divided by the square root of the sample size.

Once we have the critical value and the standard error, we can compute the confidence interval by adding and subtracting the product of the critical value and standard error from the sample mean.

It's important to note that the confidence interval provides a range of plausible values for the population mean μ. The wider the interval, the lower our level of certainty, and vice versa.

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Answer:

It should be 114.

Step-by-step explanation:

114 / 3 = 38

Answer:

12?

Step-by-step explanation:

I think so..

Is it Wrong?

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

log(5)= 0.699

Answer:

Step-by-step explanation:

0.7925

The correct option is Simple Linear Regression. Simple Linear Regression is NOT considered to be a Time-Series method of forecasting. The other methods are Time-Series method.

Time-Series analysis is a technique for forecasting future values based on previous observations. It includes various methods such as Moving Average, Exponential Smoothing, Seasonality Analysis, and Multiplicative/Additive Decomposition. Simple Linear Regression, on the other hand, is a method of predicting the relationship between two variables through a straight-line equation. Therefore, it is not considered to be a Time-Series method of forecasting.

A moving average is a common Time-Series method that calculates the average of a specific number of past observations to forecast future values. Exponential smoothing, another popular Time-Series method, assigns more weight to recent observations than to older ones. Seasonality analysis and multiplicative/additive decomposition are also Time-Series methods that are used to analyze trends and patterns in data over time.

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Answer:

the answer is 58

because the sum of a triangle is 180

and 180 minus 122 equals 58 which is c

the required answer for parallel and cut by two transversal lines is 117°.

In the given figure, the lines ll, mm, and nn are all parallel and cut by two transversal lines, namely AB and CD.

We need to find the value of xx. angles formed by two parallel lines cut by a transversal have some special properties, such as the corresponding angles, alternate interior angles, alternate exterior angles, etc. Let us use these properties to find the value of xx.

We observe that the line ll is parallel to the line CD. So, the corresponding angles formed are equal.

Corresponding angles are the angles that are in the same position on different lines when they are cut by a transversal. In the given figure, corresponding angles are:x = 60°, 2x - 5 = 2(60°) - 5 = 115° and 3x - 25 = 3(60°) - 25 = 95°

Now, we also observe that the line mm is parallel to the line AB.

So, the corresponding angles formed are equal.

Corresponding angles are:x = 2y + 5 and y + 4 = 60°

Therefore, y = 56°.Putting y = 56° in the above equation, we get:x = 2y + 5 = 2(56°) + 5 = 117°

So, the value of xx is 117°.

Hence, the required answer is 117°.

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Answer:

4/7

Step-by-step explanation:

you go to the right 4 times then up 7

Answer: 65%

Step-by-step explanation:

Answer:

(a.)  8m

(b.) 12 cm

Step-by-step explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Before the launching its latest line of health drinks, a beverage manufacturer provided free samples of the health drinks to a large and culturally diverse set of families. This is a qualitative research.

Qualitative research is the study of the nature of phenomena and is particularly effective for clarifying why something is (or is not) seen, assessing complicated multi-component interventions, and focusing on intervention improvement.

Data from first-hand observation, interviews, questionnaires, focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly non-numerical.

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Answer: 1/2

Step-by-step explanation:

1) Put the equation into y=kx form

- add 4x to both sides

- divide by 8 on both sides to get y=1/2x

2) k is the constant of proportionality

Answer:

The series has 7 terms

\(\displaystyle S_7=\frac{4372}{243}\)

Step-by-step explanation:

Geometric Series

In the geometric series, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the series:

-12, -4, -4/3, ..., -4/243

We can find the common ratio by dividing one term by the previous term:

\(\displaystyle r=\frac{-4}{-12}\)

Simplifying:

\(\displaystyle r=\frac{1}{3}\)

Sum of terms: Given a geometric series with first term a1 and common ratio r, the sum of n terms is:

\(\displaystyle S_n=a_1\frac{1-r^n}{1-r}\)

We need to find how many terms the series has. Using the explicit formula of a geometric series:

\(a_n=a_1\cdot r^{n-1}\)

The last term is an=-4/243 and the first term is a1=-12. Solving for n:

\(\displaystyle n= \frac{\log(a_n/a_1)}{\log r}+1\)

\(\displaystyle \frac{\log(-4/243/-12)}{\log 1/3}+1\)

\(\displaystyle \frac{\log(1/729)}{\log 1/3}+1\)

n=7

The series has 7 terms

Thus, the sum of the 7 terms of the series is:

\(\displaystyle S_7=-12\frac{1-(1/3)^7}{1-(1/3)}\)

\(\mathbf{\displaystyle S_7=\frac{4372}{243}}\)

The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

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The area of a right triangle can be calculated as half the product of each leg length.

So, if the legs measure 4 cm and 3 cm, we have:

Therefore the triangle area is 6 cm².

The first four terms of the sequence are:

a1 = 2

a2 = 2 - 3 = -1

a3 = -1 - 3 = -4

a4 = -4 - 3 = -7

The sequence defined by the rule an = 2, if n = 1; an-1-3, if n > 1, starts with the first term being 2. For all subsequent terms, the value of the previous term is subtracted by 3. Therefore, the second term of the sequence is -1 (2-3), the third term is -4 (-1-3) and fourth term is -7 (-4-3). This pattern of subtracting 3 from the previous term will continue for all subsequent terms in the sequence. The sequence can be represented by the function an = 2 - 3(n-1) for any natural number n.

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Answer: x = 4

Step-by-step explanation:

4x = 16

Divide both sides by 4

x = 4

Answer:

4

Step-by-step explanation:

Because 4x=16, then divided both sides by 4.4÷4=1 times x =x and 16 ÷4=4. so the value of x is 4.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Therefore , the solution of the given problem of unitary method comes out to be  $261 is the difference between kate's tax and amount with held  by employer.

After establishing the size of a little slice, multiply the quantity by two to complete a task utilizing unitary technique. Simply expression, the unit technique serves to isolate a programmed thing from a certain set or sets of sets. For example, the price of 40 pens is 400 pounds ($1.01) or Rs. It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality. It can equally integrate and reciprocate (mathematics, algebra).

Here,

Given :

=> tax for last year is $973

=> employed with held is $712

the difference between Kate's tax and amount with held is:

=> 973 - 712

=> $261.

Thus , $261 is the difference between kate's tax and amount with held  by employer.

Therefore , the solution of the given problem of unitary method comes out to be  $261 is the difference between kate's tax and amount with held  by employer.

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Answer:

a. (c+h)(d) represents the cost of renting a car and a hotel room for d days.

  (c+h)(d) = 96d+25

b. d = 5.99. d represents the number of days renting a car and a hotel room.

Step-by-step explanation:

a. (c+h)(d) = 22d+25+74d

                = 96d+25

b. 600 = 96d+25

575=96d

d = 5.99

Answer: 6 inches

Step-by-step explanation:

Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33