An employee earns a 25% commission rate on his sales. One day he earned $175. What was his amount of sales?

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

1. We know that 1 feet = 12 inches

let x be a number of inches, which when added to 18 inches will give 7 feet

18 inches + x inches = 7 feet

18 inches + x  inches = 84 inches                       [1 feet = 12 inches]

x inches = 84 inches - 18 inches

x inches = 66 inches

2. We know that 1 mile = 1760 yards

let x be the number of yards, when added to 2000 yards will be equal to 2 miles

2000 yards + x yards = 2 miles

2000 yards + x yards = 3520 yards

x yards = 1520 yards

3. We know that 1 feet = 12 inches

Number of feet = Given number of inches / 12

Number of feet = 108 / 12

Number of feet = 9 ft.

4. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 8800 feet. will be equal to 8 miles

8800 feet + x feet = 8 miles

8800 feet + x feet = 42240 feet             [1 mile = 5280 feet]

x feet = 42240 - 8800

x feet = 33440 ft.

5. We know that 12 inches = 1 feet

let x be the number of inches, when added to 37 inches, will be equal to 5 feet

37 inches + x inches = 5 feet

37 inches + x inches = 60 inches         [12 inches = 1 feet]

x inches = 23 inches

6. We know that 1 yard = 3 feet

So, (number of yards)*3 = (number of feet)

Number of yards = number of feet / 3

Number of yards = 73 / 3 = 24.33 yards

7. We know that 1 yard = 3 feet

let x be the number of feet added to 15 feet to make 9 yards

15 feet + x feet  = 9 yards

15 feet + x feet = 27 feet       [1 yard = 3 feet]

x feet = 12 ft

8. We know that 1 mile = 1760 yards

let x be the number of yards remaining to reach 4 miles

3000 yards + x yards = 4 miles

3000 yards + x yards = 7040

x yards = 4040 yards

9. We know that 1 yard = 3 feet

So, number of yards * 3  = number of feet

replacing the values:

number of yards*3 = 114

number of yards = 114/3

number of yards = 38 yards

10. We know that 1 mile = 5280 feet

let x be the number of feet that must be added to 9000 feet to make 3 miles

x feet + 9000 feet = 3 miles

x feet + 9000 feet = 15840 feet

x ft = 6840 ft

11. We know that 12 inches = 1 feet

let x be the number of inches that must be added to 46 inches to get a length of 9 feet

46 inches + x inches = 9 feet

46 inches  + x inches = 108 inches

x inches = 108 - 46 inches

x inches = 62 inches

12. We know that 1 mile = 1760 yards

let x be the number of yards that must be added to 3500 yards to make 2 miles

3500 yards + x yards = 2 miles

3500 yards + x yards = 3520 yards

x = 20 yards

13. We know that 1 ft = 12 inches

So, number of feet * 12 = number of inches

number of feet = number of inches / 12

number of feet in 252 inches

Number of feet = 252/12

Number of feet = 21 ft

14. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 6500 feet, will be equal to 2 miles

x ft + 6500 ft = 2 miles

x ft + 6500 ft = 10560 ft

x ft = 4060 ft

15. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 4500 feet, will be equal to 1 mile

x ft + 4500 ft = 1 mile

x ft + 4500 ft = 5280 ft

x ft = 780 ft

Answer:

330 Minutes

Step-by-step explanation:

A->B is 3 hours

1 hour=60 minutes

3 hours=180 minutes

B->C is 2 1/2 hours

2 hours=120 minutes

1/2 hour=30 minutes

180+120+30=330 minutes

Answer:

Here,2x+6=12

or,2x=12-6

or,2x=6

or,x=6/2

or,x=3

\(\boxed {x = 3}\)

The data modelling function is Price required to recoup printing expenses is equal to 0.1 * (numbers of yearbooks sold) + 45.

A yearbook is a collection of images and text that is issued by an organisation once a year to remember and highlight the happenings at a particular school during the previous academic year. Yearbooks were used in elementary, middle, high, and college and university settings throughout the 20th century.

Using the information in the table,

\(n = 5\)

Σ\(x = 1175\)

Σ\(y = 145\)

Σ\((xy) = 41000\)

Σ\((x^2) = 287500\)

When these values are inserted into the formula,

\(m = (541000 - 1175145) / (5*287500 - 1175^2)\)

\(= -0.1\)

Therefore, the slope of the linear function is \(-0.1\).

\(b = y - mx\)

where we can use any of the data points. Let's use\((250, 20)\)

\(b = 20 - (-0.1*250)\)

\(= 45\)

Therefore, the y-intercept of the linear function is \(45\).

\(y = -0.1x + 45\)

Therefore,

Price needed to cover the costs of printing \(= -0.1*\)(number of yearbooks sold) \(+ 45\).

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Answer:

Step-by-step explanation:

Answer:

the product of the decimal equivalents of all discount in the series

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

I would say (2,-9) is her projection

Answer:

ok bet my niqgqa

Step-by-step explanation:

Answer:

31.01

Step-by-step explanation:

A= πr^2= π · 3.142 ≈31.01432

Answer:

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

Step-by-step explanation:

Answer:

A = 30

Step-by-step explanation:

it's a 30,60,90 triangle by the sides but to prove it:

sohcahtoa

cos A = 3√2/2√6 = 4.24/4.899 = .865

A = 30°

we have the function

Complete the table

For x=2

For x=3

For x=5

For x=10

F. 2x⁵y² - 6x⁴y³

That is the answer.

By means of distribution.

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Answer:

(a) He would need 76 feet of fencing

(b) Kevin should buy the packaged box of 90 feet of fencing for $950.

(c) How much does he save?

For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

Step-by-step explanation:

(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?

From the question, we are told that the swimming pool measures:

14-1/2 feet wide and 23-1/2 feet long.

Perimeter of a fence = 2(L + W)

= 2( 14-1/2 + 23-1/2)feet

= 76 feet

This means he need 76 feet of fencing.

(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?

If : For cut to order fencing

1 foot = $12.40

76 feet =

Cross Multiply

= 76feet × $12.40/1 foot

= $942.4

This means that the cut to order fencing would cost him $942.40

The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .

Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.

How much money does he save?

For the cut to order box

1 feet = $12.40

For the packaged fence,

90 feet = $950

1 feet = x

= 950/90

= $10.555555556

≈ $10.56

Hence, 1 feet of packaged fence = $10.56

Subtracting $10.56 from $12.40

= $12.40 - $10.56

=$ 1.94

Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

This means:

1 feet (packaged fence) = $10.56

76 feet = x

= 76 × $10.56

= $802.56

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Answer:

x= √2

(or)

x = \(\frac{-3\sqrt{2}}{5}\)

Step-by-step explanation:

If I assume your equation was like this,

5x²-2\(\sqrt{2x}\) - 6 = 0

(\(x - \sqrt{2}\)) (\(5x + 3\sqrt{2}\)) = 0

\(x - \sqrt{2}\) = 0  (or)    \(5x + 3\sqrt{2}\) =0

x = \(\sqrt{2}\)  (or) 5x = \(-3\sqrt{2}\)

x = \(\sqrt{2}\)  (or)  x = \(\frac{-3\sqrt{2}}{5}\)

The quadratic equation can be solved to give the value of x1 = √2 and x2 = -3√2 / 5.

To solve the quadratic equation 5x² - 2√2x - 6 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Now we have two solutions, one for the positive value and one for the negative value:

x1 = (2√2 + 8√2) / 10

x2 = (2√2 - 8√2) / 10

Simplify the solutions:

x1 = (10√2) / 10 = √2

x2 = (-6√2) / 10 = -3√2 / 5

So the solutions for the equation 5x² - 2√2x - 6 = 0 are x1 = √2 and x2 = -3√2 / 5.

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Answer:

\(MSE = 10\)

Step-by-step explanation:

Given

\(SSTR = 200\)

\(SST = 800\)

Required

Determine MSE

This is calculated as:

\(MSE = \frac{1}{ddf} * SSE\)

Where:

\(SSE = SST - SSTR\)

\(ddf \to\) denominator df

So, we have:

\(SSE = 800 - 200\)

\(SSE = 600\)

To calculate the df, we have:

\(r = 13\) --- observations

\(n = 5\) treatments

So:

\(ddf = Total\ df - Numerator\ df\)

\(Total = n*r-1 = 5*13 -1 = 64\)

\(Numerator =n - 1 = 5 - 1 =4\)

\(ddf =64-4=60\)

So, we have:

\(MSE = \frac{1}{ddf} * SSE\)

\(MSE = \frac{1}{60} * 600\)

\(MSE = 10\)

Answer:

81x² + 90x + 48y + 64

Step-by-step explanation:

(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64

             = 81x² + 144x + 64

then:

(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

The answer would be z/6 + 5 - 8.

Step-by-step explanation:

Quotient means the answer to a division problem, so we know that z and 6 must be divided. Then it tells us to add 5 to the quotient and then subtract 8 from the total. Because of PEMDAS no parentheses are needed.

Answer:

8

Step-by-step explanation:

The logarithmic regression equation that models the situation is given as follows:

y = 242.9037 + 23.7097ln(x).

The estimated population in 2010 is of:

313.9 million

Which overestimates the actual amount by 5.2 million.

The prediction for when the population will be of 400 million is of:

Year of 2,744.

The logarithmic regression equation is obtained inserting the points of the data-set into a logarithmic regression calculator.

From the table given by the image at the end of the answer, the points are given as follows:

(0, 248.8), (10, 281.4), (20, 308.7), (30, 331.4), (31, 331.9).

Inserting these points into a calculator, the equation is given as follows:

y = 242.9037 + 23.7097ln(x).

2010 is 20 years after 1990, hence the estimate is given as follows:

y = 242.9037 + 23.7097 x ln(20) = 313.9 million.

The overestimate of the actual value, from the table, is of:

313.9 - 308.7 = 5.2 million.

The prediction for when the population will be of 400 million is obtained as follows:

400 = 242.9037 + 23.7097 x ln(x)

ln(x) = (400 - 242.9037)/23.7097

ln(x) = 6.6258.

x = e^(6.6258)

x = 754.

Hence during the year of 2,744.

The table is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation: