the length of a rectangle is five times the width. if the area of the rectangle is 125 square inches, find the length and width​

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

y=2x-4

Step-by-step explanation:

Add -2x to both sides.

-y=-2x+4

divide each side by -1 to get y=mx+b.

slope= 2

y-intercept= -4

Answer:

$34000

Step-by-step explanation:

We can set up a systems of equations, assuming \(h\) is the husbands income and \(w\) is the wife's income.

h + w = 84000

h = 2w - 18000

We can substitute h into the equation as 2w - 18000:

(2w - 18000) + w = 84000

Combine like terms:

3w - 18000 = 84000

Add 18000 to both sides

3w = 102000

And divide both sides by 3

w = 34000

Now that we know how much the wife earns, we can also find out how much the husband earns by substituting into the equation.

h + 34000  = 84000

h = 50000

Hope this helped!

Answer: Answers and work are all in the picture that I attached. Hope this helps

Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

The journal entry for Equipment that costs $12,000 and has accumulated depreciation of $9,000 sold for $2,600 would include a C) debit to Loss on Sale of Equipment for $400.

The journal entry refers to the initial record of a business transaction.

When an item of equipment is sold, the journal entries include a credit to the equipment account for the cost, a debit to the accumulated depreciation account and a debit or credit to the Sale of Equipment account.

Equipment cost = $12,000

Accumulated depreciation = $9,000

Book value of equipment = $3,000

Sales proceeds = $2,600

Loss on Sale of Equipment = $400 ($3,000 - $2,600)

Thus, the loss on sale of equipment is recorded because the book value is more than the sales proceeds.

Learn more about the journal entries for equipment at https://brainly.com/question/25228356.

#SPJ1

A) credit to Accumulated Depreciation for $9,000

B) debit to Loss on Sale of Equipment for $9,400.

C) debit to Loss on Sale of Equipment for $400

D) credit to Equipment for $3,000

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

Learn more about depreciation at: https://brainly.com/question/1203926

#SPJ1

Answer:

The expression for this would be 4÷5

Step-by-step explanation:

Since we already know that the fraction bat is equal to division, we would know that 4/5 would be equivalent to 4÷5.

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

h(x) = (x+1)²

h(-2) = 1

h(-1) = 0

h(3) = 8

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

A) $2510

B) $209.17

C) $128,273.36

Step-by-step explanation:

Let's break this problem down into three parts:

a) To find out how much will be saved each year, we first need to calculate the annual salary and then determine 10% of it. Since the newscaster earns $25,100, we can calculate the annual savings as follows:

Annual savings = Annual salary * 10%

Annual savings = $25,100 * 0.1

Annual savings = $2,510

So, the newscaster will save $2,510 each year.

b) To find the monthly deposit, we need to divide the annual savings by the number of months in a year:

Monthly deposit = Annual savings / 12

Monthly deposit = $2,510 / 12

Monthly deposit ≈ $209.17

The newscaster will deposit approximately $209.17 per month into the retirement account.

c) To find the amount in the account after 29 years, we will use the formula for the future value of an ordinary annuity, since the investment has a monthly deposit and a monthly compounding interest rate:

FV = P * [(1 + r)^nt - 1] / r

Where FV is the future value, P is the monthly deposit, r is the monthly interest rate (annual interest rate divided by 12), n is the number of times interest is compounded per year (monthly, so 12), and t is the number of years.

In this case, P = $209.17, r = 4.1%/12, n = 12, and t = 29 years.

First, convert the annual interest rate to a decimal and then find the monthly interest rate:

Monthly interest rate = (4.1%/12) / 100

Monthly interest rate = (0.041/12)

Now, plug the values into the formula:

FV = $209.17 * [(1 + 0.041/12)^(12*29) - 1] / (0.041/12)

Calculate the future value:

FV ≈ $209.17 * [(1.003417)^(348) - 1] / (0.003417)

FV ≈ $209.17 * (3.42307) / (0.003417)

FV ≈ $128,273.36

After 29 years, the newscaster will have approximately $128,273.36 in the retirement account.

From the dot plot, it can be seen that the median of the sample {1, 20, 5, 0, 5} is 5. This value falls in the range of the medians of samples from Population C. Therefore, it is most likely that this sample was selected from Population C.

The median is a measure of central tendency in a dataset, it is the middle value when a data set is ordered from least to greatest. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values. The median is a useful measure of central tendency when the data set contains outliers or extreme values, which can skew the mean.

Learn more about median in brainly.com/question/28060453

#SPJ1

The graph is shown below.

We use an open dot at zero because x is only less than 0,

it's not less than or equal to 0.

So we have an open dot at 0 going to the left.

If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

for more such questions on amount

https://brainly.com/question/843074

#SPJ8

Answer:

x-7y=84

x-7y-84=0

Step-by-step explanation:

y=mx+c

y=ax+b

ax+by=c or ax+by-c=0

m= 1/7

y=1/7x-12

x-7y=84

x-7y-84=0

Answer:

x= 30 units

Step-by-step explanation:

so the small triangle of sides 3 and 6 is similar to the big triangle of side 3+15 and 6+ x units.(by A.A.A.axiom)

now since the triangles are similar their sides become proportional

i.e.

3/6= (15+3)/(6+x)

or, 1/2 = 18/(6+x)

or 6+x= 36

therefore x=30

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

The statements that are true regarding the areas are that each palette icon will always allow you to drag only one fill area onto the graph. Changing the position of the other objects on the graph may change the shape of the possible regions you may fill.

The statement "Each palette icon will always allow you to drag only one fill area onto the graph." is true.

The statement "Areas can be used to shade a region of any shade." is false. Areas can be used to shade a region in a specific colour or pattern, but not necessarily any shade.

The statement "Changing the position of the other objects on the graph may change the shape of the possible regions you may fill." is true.

To know more about areas, here

https://brainly.com/question/27683633

#SPJ4

Answer:

14/20

Step-by-step explanation:

this is equal to 7/10. have a nice day!!

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer. 7/10. If you want to do a higher number you can do 7x2 and 10x2 which would be 14/20. You can't do smaller fraction since it is not even.

Answer:

y= 125

Step-by-step explanation:

You can find all the other angles knowing a straight line is equal to 180 degrees. The middle pentagon all adds up to 540 degrees. Once you've found the other sides add them all up and subtract 540 from it and you get 55. Now you do 180-55 one last time to give you y and Y = 125

Answer: y = 125°

Step-by-step explanation:

1) As shown in the picture, I drew a circle for every intersecting point that indicated it would sum up to 360 degrees, so I could find the degrees inside the pentagon.

2) When I had all of the degrees inside the pentagon (except for the corner in the far right), I added all of them together to the sum of 485 degrees.

3) Since all of a pentagon's angles need to add up to 540°, I was left with this equation: 485° + __ = 540°

4) To find the last degree of the pentagon or fill in the blank, I subtracted 540° and 485° to get 55°. The degree in the far right of the pentagon was 55° degrees.

5) I had 55° and 180° to answer what y was. Then again, the circle of intersected lines should all add up to 360°. To get y, I added 55° and 180° to get 235° -- and subtracted 360° and 235° to get 125°.

6) Then, my final answer: y is 125°.

I finally got to answer after my hard work !!  

Answer:

B. 35

Step-by-step explanation:

The range of a set of numbers is the difference between the highest and lowest numbers in the set.

1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.

-15, -12, 6, 18, 20

The lowest number is -15 and the highest is 20.

2. Subtract these two numbers to find the range.

20 -- 15

Two minus signs like that make a positive, so it becomes an addition problem.

20 + 15 = 35

Answer is b.

I also think the right option is B)- 35

Each of the shipping boxes contains 2172 cans of regular soda.

Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion.

The industrial machine made a total of 1629 cans of diet soda which is 6 times as much regular soda in 46 minutes.

Then, the total number of regular sodas made will be:

R = 4 × Total number of diet soda

R = 4 × 1629 cans

R = 6516 cans

The regular sodas were packed in 3 shipping boxes with each having the same number of soda cans.

Therefore, the number of cans of regular sodas in each box will be:

N = 6516/3

N = 2172 cans

There are 2172 cans of regular sodas in each shipping box.

Learn more about proportion here:

brainly.com/question/24372153

#SPJ1

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

Read more about Missing angle at: https://brainly.com/question/28293784

#SPJ1

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

B. 5 and 6

Step-by-step explanation:

21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))

Answer:

B

Step-by-step explanation:

Answer:

14.11

Step-by-step explanation:

24 divided by 1.7

Answer:

14.117

Step-by-step explanation:

that is the answer to your problem

Answer:

Q.1 corresponding

Q.2 alternate exterior angle

Q.3 same side interior

Q.4 alternate interior angle

Answer:

x

Step-by-step explanation:

x times 4 = 4x

4x in 4 quarters: x x x x

One quarter^^ = x

Complete question is;

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

Answer:

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

Step-by-step explanation:

We are told that the deposits are;

$21.68, $42.09, and $65.44.

Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.

Thus;

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78