Rebekah and Mohammad have $125 saved up already with their clothing business. For every shirt they sell, they make $12 and for every hat they make $9. How many of each did they sell if they sold 22 pieces of clothing and their total saved at the end of the day is $350, including the savings they started with?

Answer:

6.1 x 10⁴

that is the answer for you sir

She increased the percent she scored from the quiz to the test.

Percentage is defined as the representation of a part of a value per 100 which is represented with the symbol of %.

The test score of Lola in the mid-unit quiz in math = 21

The percentage of 21 point from the over all points;

= 21/27 ×100

= 2100/27

= 77.8%

The test score of Lola on the unit test = 66 points out of 80

The percentage of 66 points from the over all point ;

= 66/80×100

= 6600/80

= 82.5%

Therefore, it can be concluded that Lola increased the percent she scored from the quiz to the test.

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It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

What is rate ?

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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It would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.'

The rate is a measure of how much of a quantity is completed or changed per unit of time. It is often represented as a ratio of the amount of work done to the amount of time it takes to complete the work. For example, in the context of mowing a lawn, the rate could be expressed as the amount of lawn mowed per hour.

Let's call the amount of work required to mow a lawn "W".

Molly can do it in 3 hours, so her rate of work is W/3.

Her little brother can do it in 6 hours, so his rate of work is W/6.

When they work together, their combined rate of work is (W/3) + (W/6) = W/2.

So, working together, they can mow the lawn in W/2 hours, or 2/W hours.

Therefore, it would take them 2/W hours, or approximately 1 hour and 36 minutes, to mow the lawn working together.

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Answer:

Step-by-step explanation:

The mistake that Sam made is that he tried to find the ratio of white to blue cars by combining the ratios of white to red cars and red to blue cars. However, this method does not work because the ratios are not independent of each other.

To find the correct ratio of white to blue cars, we need to use the fact that the ratio of red to blue cars is 5:2 and the ratio of white to red cars is 7:3. We can use these ratios to find the fraction of cars that are white and blue in the garage.

Firstly, we can find the fraction of red cars by taking the ratio of red to blue cars which is 5:2 and simplifying it to 5/7.

Now we can find the fraction of white cars by taking the ratio of white to red cars which is 7:3 and simplifying it to 7/10.

Now, to find the ratio of white to blue cars, we can subtract the fraction of red cars from the fraction of white cars.

So,

(7/10) - (5/7) = (7/10) - (5/7) * (3/3) = (7/10) - (15/21) = (721 - 1510) / (210) = (147 - 150) / 210 = -3/210

The correct ratio of white to blue cars is -3/210 which can be understood as NO white cars in the garage. Sam has made an error in his calculation.

The first step in solving a system of equations is to solve one of the equations with a variable.

A collection of one or more linear equations containing the same variables is known as a system of equations. When the graphs do not meet, there is no solution to a system of linear equations. When the graphs of the equations overlap at all locations, there can be an endless number of solutions or just one when they do not.

Solving one of the equations for one of the variables in terms of the other variable is the first step in solving a system of equations by substitution. In order to eliminate one of the variables and generate a more straightforward equation that can be solved for the remaining variable, this expression can then be added to the other equations.

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Logarithms can be used to convert non-linear functions into linear functions. The outcome has a linear relationship with the variables' logarithm.

Similar to a linear function, a logarithmic function takes a number as input and produces another number as an output. The relationship between that input and output, however, is not linear; rather, it is logarithmic.

Economic models benefit from linear functions since a solution is simple to find. However, using logarithms, non-linear functions can be made into linear functions.

The given function is:

y = [tex]ax^b[/tex]

This function can be recast as the following by taking the logarithms of both sides:

log y = log a + b log x

The outcome has a linear relationship with the variables' logarithm.

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Answer:

Volume of a sphere is 268.08yd³

Step-by-step explanation:

To Find the volume of a sphere we apply the given formula,

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

In the given information the radius is 4

Hence the volume of the sphere is,

[tex]Volume=\frac{4}{3} X3.14X4^{3}[/tex]

[tex]Volume = 268.08yd^{3}[/tex]

Answer: 144 took the quiz

Step-by-step explanation:

Answer: 408 length

Step-by-step explanation:

528 inches of the kitchen subtract the width which is 120inches and you get 108 so add the width an length and you get 528

The gradient of the curve at point A to 1 is 0.4. The slope of tangent is equivalent to the slope of the curve.

The tangent line to a curve at a point in geometry is the straight line that best approximates (or "clings to") the curve at that point. As the second point approaches the first, it may be considered the limiting position of straight lines passing through the given point and a nearby point of the curve.

The tangent cuts the curve at A.

The coordinate of A is (8,3). The tangent passes through the point (1,0.2).

The slope of the points (x₁, y₁) and (x₂, y₂) is [(y₂ - y₁)/(x₂ - x₁)

The slope of the tangent is (0.2-3)/(1-8) = 0.4.

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Statement I and II are true, i.e.,

l. Population of interest is all potential car buyers.

II. The survey design suffered from non-response bias.

We have, a car owner who develop a plan strategies to increase sales. The purpose of study to know reason that why many people who visit his car lot do not eventually buy a car from him. The study is based on survey, his staff members collects a data of people's who visit his car lot but not buy a car. After one month, the owner sent survey to persons who not buy a car and ask them why they did it . Then, one third are responded the survay and 44% of those indicating that they found a lower price elsewhere. Now, we check each statements one by one,

I) All car buyers potential act as population in this problem. So, it is true statement.

II) This survay is based on response of people's who visit his car lot but not buy a car but only but not all non car buyers response there, so the survey design suffered from non-response bias. Therefore, it is true.

III)This survey is based on a sample of non car buyers response regarding reason for not buying a car. So, 44% is a part of sample i.e., it is statistic but not parameter. Thus, it is not true.

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The equation 1(2x+3y−9=0) and 2(4x+6y−18=0) we can say that both line are coincident lines. So the option 4 is correct.

In the given question, we have to find what we say about the lines represented by 2x+3y−9=0 and 4x+6y−18=0.

The given lines are

2x+3y−9=0..............(1)

4x+6y−18=0..............(2)

We can common 2 from the second line. Now the line is

2(2x+3y-9) = 0

Divide by 2 on both side, we get

2x+3y-9 = 0

Now we can see that the both lines are same. The second line is the two time the first line.

So from the equation 1 and 2 we can say that both line are coincident lines. So the option 4 is correct.

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The complete question is:

What do you say about the lines represented by 2x+3y−9=0 and 4x+6y−18=0?

(1) Intersecting lines

(2) Perpendicular line to each other

(3) Parallel Lines

(4) Coincident lines

The required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

Gien expression,
= x³ - 6x² - x + 30
= (x - 5)(x + 2)(x -3)

Thus, the required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).

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The value of 5 - 4x is 7/3, which is equivalent to option (d) d. 17

If 7x³ = 24, we can solve for x by taking the cube root of both sides:

[tex](7x^3)^{1/3} = (24)^{1/3} \\x = (24)^{1/3} \div7^{1/3}[/tex]

To find the value of 5 - 4x, we can substitute the expression for x into the second equation:

5 - 4x = [tex]5 - 4(24)^{1/3} \div 7^{1/3[/tex]

Simplifying, we get

5 - 4x = 5 - 4(2/3)

5 - 4x = 5 - (8/3)

5 - 4x = (15/3) - (8/3)

5 - 4x = 7/3

So the value of 5 - 4x is 7/3, which is equivalent to option (d) d. 17

The cube root of a number is a value that when multiplied by itself twice, produces the original number.

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a. The monthly payment would be $1,061.76.

b.  Total amount paid would be $382,636.16.

c. The cost of the loan would be $195,136.16.

A mortgage is a type of loan used to purchase a property or real estate. The borrower (in this case, Brody) uses the property as collateral for the loan, and makes monthly payments to the lender (usually a bank or mortgage company) to repay the principal (the amount borrowed) plus interest. Mortgages typically have a fixed interest rate, meaning the interest rate stays the same over the life of the loan, and a fixed term, typically 15 or 30 years.

a. To calculate the monthly payment for Brody's loan, you would use the formula for a fixed-rate mortgage, which is:

M = P [ i(1 + i)ⁿ ] / [ (1 + i)ⁿ ⁻ ¹]

Where M is the monthly payment, P is the principal (the amount borrowed), i is the interest rate (expressed as a decimal), and n is the number of payments (in this case, 30 years x 12 months/year = 360 payments).

Plugging in the numbers, the monthly payment would be:

M = $187,500 x [0.03875(1 + 0.03875)^360] / [(1 + 0.03875)³⁶⁰ ⁻ ¹]

M = $1,061.76

b. To calculate the total amount paid, you would multiply the monthly payment by the number of payments:

Total amount paid = $1,061.76 x 360 = $382,636.16

c. The cost of the loan is the total amount paid minus the amount borrowed:

Cost of the loan = $382,636.16 - $187,500 = $195,136.16

The complete question is shown below.

Brody's new home had a purchase price of $187,500. He got a 30-year fixed mortgage for 95% of the purchase price. The interest rate on the loan is 3.875%.

a. What is his monthly payment for the loan?

b. What is the total amount paid?

c. What is the cost of the loan?

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Answer:

the two next numbers are 43 and 64 , sum = 107

Step-by-step explanation:

see attachment

so the next two nos. of the sequence would be 43 and 64

And we are done!

-Rishabh

For the given equation, values to get equal the value of w equals [tex]\frac{7}{16}[/tex].

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

A simple equation is a mathematical formula that expresses the relationship between two expressions on both sides of the "equal to" sign.

These equations contain a variable, which is frequently written as x or y. It is frequently necessary to rearrange simple equations in order to solve them.

Given, the equation is

[tex]2 \frac{2}{3} w = 1 \frac{1}{6}[/tex]

Simplifying the equation,

[tex]\frac{8}{3}w = \frac{7}{6}[/tex]

[tex]w = \frac{7}{6} \times \frac{3}{8}[/tex]

[tex]w = \frac{7}{16}[/tex]

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In 4 different ways can the number be chosen .

The positive divisors of 100 are

[1,2,4,5,10,20,25,50,100]

We can do casework on a:

If a=1,  then there are 3 cases:

b=2,c=50

b=4,c=25

b=5,c=20

If a=2, then there is only 1 case:

b=5, c=10

In total, there are 3+1= 4 ways to choose distinct positive integer values of a, b, c.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

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The number of the largest series and 3 times the smallest is 234 would be = 58 and 60.

An integer is a whole number, regardless of sign, that goes from 0 to infinity or to minus infinity.

Let's suppose the first integer is x then the second will be x + 2

Sum of the larger and 3 times the smaller is 234

(x + 2) + 3x = 234

4x + 2 = 234

4x = 232

x = 58 so x + 2 = 60

Therefore, both consecutive even integers such that the sum of the larger and 3 times the smaller is 234 is 58 and 60.

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The incorporating paraphrasing restating or the rephrasing or restating information that has already been classified is commonly known as paraphrasing.

It process mainly will involve the taking of the original information and expressing it in a new way while maintaining the same meaning. This can be done by changing the wording, and sentence structure, or by using synonyms. The goal of paraphrasing is to make the information more understandable or to make it suitable for a different audience or purpose. It is often used in academic writing to avoid plagiarism by not using the same words or phrases as the original source.

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The moment generating function (m.g.f.) of y is (2/3)*(1/(1 - p)) where p = (1/3)*e^t. By considering a coin with probability of getting head p. the m.g.f and mean is (p)/(1 - p) and p + p^2/(1 - p) respectively.

(a) Let Y denote the number of tails until the first head is observed in a sequence of tosses of an unfair coin, where the probability of getting a head is 2/3.

The moment generating function (m.g.f.) of Y is given by

M(t) = E[e^(tY)]

= (2/3)e^(t*0) + (1/3)*e^(t*1) + (2/3)(1/3)e^(t*2) + (1/3)^2*e^(t*3) + (2/3)(1/3)^2*e^(t*4) + …

= (2/3)*(1 + (1/3)*e^t + (1/3)^2*e^(2t) + (1/3)^3*e^(3t) + …)

= (2/3)*(1/(1 - (1/3)*e^t))

= (2/3)*(1/(1 - p))

where p = (1/3)*e^t.

The mean of Y is given by

E[Y] = (2/3)*(1/(1 - p)) + (1/3)*p/(1 - p)

= 2/3 + (1/3)*p

= 2/3 + (1/3)*((1/3)*e^t)

= 2/3 + (1/9)*e^t.

(b) The m.g.f. of Y for a coin with probability of getting head p is given by

M(t) = (p)*(1 + p*e^t + p^2*e^(2t) + p^3*e^(3t) + …)

= (p)*(1/(1 - p*e^t))

= (p)/(1 - p).

The mean of Y is given by

E[Y] = (p)/(1 - p) + p*p/(1 - p)

= p + p^2/(1 - p).

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The value of k if one of the zeroes of the quadratic polynomial kx2 kx 1 is 3 is -2 or 2.

A quadratic polynomial is a polynomial of degree 2, meaning it has the form ax^2 + bx + c, where a, b, and c are constants and a is not equal to zero. It is also known as a second-degree polynomial. This type of polynomial is commonly used for modelling physical phenomena, such as the trajectory of a projectile or the vibration of a spring. A quadratic polynomial can also be used to solve equations that involve x2, such as the quadratic formula.

The quadratic equation kx2 kx 1 0 has two solutions, or zeroes, which are given by the quadratic formula: x = (k ± √(k2 - 4))/2. If one of the solutions is 3, then we can substitute 3 in for x and solve for k.

3 = (k ± √(k2 - 4))/2

6 = (k ± √(k2 - 4))

6 - (k ± √(k2 - 4)) = 0

k2 - 4 ± k - 6 = 0

k2 ± k - 2 = 0

k ± 2 = 0

k = -2 or k = 2.

Therefore, the value of k if one of the zeroes of the quadratic polynomial kx2 kx 1 is 3 is -2 or 2.

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The length of the hypotenuse of one of the triangles would be = 28 cm

A triangle is defined as the polygon that has three sides with the total angle of 180°.

The paper that was cut by Kaylee has a side of 20 cm by 20 cm. Using the Pythagorean formula the hypotenuse can be calculated as follows:

c² = a² + b²

where c = hypotenuse = X

a = 20

b = 20

C² = 20² + 20² = 400+400 = 800

c = √800

c = 28cm (approximately)

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The answers to the compound fractions are given as follows;

a) 3 2/3

b) 1 1/2

c) 1 5/8

d) 1 1/3

e) −6 1/2

f) 2 5/12

a) Given 1 1/5 + 3 1/3 - 13/15

convert mixed numbers into improper fractions

That is:
6/5 + 10/3 - 13/15

68/15 - 13/15

11/3

= 3 2/3

b) 2 1/3 - 5/6

= 7/3 - 5/6

= 3/2

= 1 1/2

c) 3 1/2 - 1 7/8

= 7/2 - 1 7/8

= 7/2 - 15/ 8

=13/8

= 1 5/8

d) 7 - 5 2/3

= 7 - 17/3

= 4/3

= 1 1/3

e ) 6 - 12 1/2

= 6 - 25/2
= -13/2

= - 6 1/2

f)  2 1/4 - 1 1/3 + 1 1/2

= 9/4 - 4/3 + 3/2

= 11/12 + 3/2

= 29/12

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Answer: Scroll Down

Step-by-step explanation:

I already answered all your questions except for the last two.

The second to last is angle F

The last answer is QP

Answer:

Step-by-step explanation:

14+(-812)+14= 14-812+14

                   = -798+14

                   = -784

Answer:

Step-by-step explanation:

A) The Binomial Theorem states that for any positive integer n and any real numbers a and b, the expression (a + b)^n can be expanded as a sum of the form:

(a + b)^n = C(n,0)a^n b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n)a^0b^n

where C(n,k) = n!/(k!(n-k)!) is the binomial coefficient.

Applying this to the expression (1 + x)^2, we have:

(1 + x)^2 = C(2,0)1^2 x^0 + C(2,1)1^1 x^1 + C(2,2)1^0 x^2

= 11^21 + 21x + 1*x^2

The first four terms of the polynomial are: 1, 2x, x^2

B) The binomial theorem states that the first term is a constant term and the second term is linear. When x is less than 1, the linear term 2x is much smaller than the constant term 1, so the linear term can be ignored as a good approximation. Therefore, 1 + nx will be a good approximation of the expression (1+x)^2 when x is less than 1.

The roots of the inequality X² 3x 2 0 are x = 0 and x = 2.

X² - 3x + 2 = 0

X² - 3x - 2x +2 = 0

(X-2)(X+1) = 0

X-2 = 0  or  X+1 = 0

X = 0  or  X = 2

The roots of the inequality X² 3x 2 0 are the values of x that make the inequality true. To solve for the roots, we need to set the equation equal to zero and factor it. The equation is

X² - 3x + 2 = 0.

When we factor it, we get

(X-2)(X+1) = 0.

This means that

X-2 = 0 or X+1 = 0.

We solve each equation separately. When X-2 = 0, we get X = 2. When X+1 = 0, we get X = 0. Thus, the roots of the inequality

X² 3x 2 0 are x = 0 and x = 2.

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Answer:

Step-by-step explanation:

(f+g)(x) = -12x^3-10-6x+2

= -12x^3-6x-8

Since the problem asks for (f+g)(x), plug in the value 12 to get your answer.

(f+g)(12)=-20736-72-8 = -20816

Next, (f-g)(x).

(f-g)(x)=-12x^3-10+6x-2

=-12x^3+6x-12

=6144-48-12

=6084

The example of parallel lines :

y = 3x + 4 and y = 3x - 10

and the example of perpendicular lines:

y = 3x + 4 and x + 3y = 6

Consider a slope-intercept form of equation of line.

y = mx + c

where m is the slope of the line

and c is the y-intercept of the line.

Consider a line y = 3x + 4

here the slope of the line is 3 and the y-intercept of the line is 4

We know that the slopes of parallel lines are equal.

so, any line having slope 3 would be parallel to 3.

So, y = 3x - 10 is a line parallel to line y = 3x + 4

also, as we know the productof slopes of perpendicular lines is -1.

this means, any line with slope -1/3 must be perpendicular to line y = 3x + 4

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Neither table A nor B represents the functions. The correct option is 1.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

The given tables are:-

Table A

Input   Output

1            7

2            7

2            9

3            9

Table B

Input  Output

6            1

7            3

7            2

8            5

For the same input values, there can not be two different output values. In both the tables the same input is giving different outputs.

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