Candice has been hired as a saleswoman. She is paid a flat rate of $425 each week and earns an additional $17.75 commission for each sale. If her goal is to make $993 in one week, which equation will help Candice determine the number of sales (s) she must make? (3 points)
a
$993 = $425s - $17.75
b
$993 = $425s + $17.75
c
$993 = $17.75s - $425
d
$993 = $17.75s + $425

Answer:

\(\frac{2}{3}\)in

Step-by-step explanation:

4in is the total so if it takes 6 hours. divide 4 by 6 and you get \(\frac{2}{3}\).

Fast way to do this is to write out 4/6 and see they both can divide by 2. then you have the fraction in simplest form.

Answer:

Rotation

Step-by-step explanation:

Rotation is where you rotate a figure about a point on a graph. Reflection would essentially mirror a figure across and axis, translation would move a figure, and dilation woukd change the size of the figure.

Money in Alex's account after 16 years = \(\boxed{\bold{\color{plum}£4347.11}}\)

Money invested by Alex = £3045

Percentage of compound interest per annum = 2.25%

We know that :

\(\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt} \)

In this case :

Principal = £3045

Rate = 2.25% = 0.0025

Number of times interest is compounded per year = 1

Time = 16 years

Which means :

Money Alex will have in the account after 16 years :

\( = \tt3045 ({1 + \frac{ 0.0025}{1} })^{16} \)

\( \color{plum}= \tt £4347.11\)

Therefore, the money in Alex's account after 16 years = £4347.11

Answer:

1. y = -0.75x + 2

2. y = -1.8x - 7

3. y = -3x + 3

4. y = -11/7x + 56

5. y = -0.6x + 3

6. y = -2x - 14

7. y = 14x + 7

8. y = 2/8x - 4/3

9. y = x - 6

10. y = -1/3x + 4

Step-by-step explanation:

Question 1

3x + 4y = 8

4y = -3x + 8

y = -0.75x + 2

Question 2

9x + 35 = -5y

5y = -9x - 35

y = -1.8x - 7

Question 3

2y - 6 = -6x

2y = -6x + 6

y = -3x + 3

Question 4

-11x - 7y = -56

7y = -11x + 56

y = -11/7x + 56

Question 5

5y/3 = -(x - 5)

5y = -3(x - 5)

5y = -3x + 15

y = -0.6x + 3

Question 6

-2(2x + y) = 28

-4x - 2y = 28

2y = -4x - 28

y = -2x - 14

Question 7

-14x + y = 7

y = 14x + 7

Question 8

12y = (8x - 48)/3

36y = 8x - 48

y = 2/8x - 4/3

Question 9

(3x - 3y)/2 = 9

3x - 3y = 18

3y = 3x - 18

y = x - 6

Question 10

2x/3 + 4(y - 2) = 0

2x/3 + 2y - 8 = 0

2y - 8 = -2x/3

3(2y - 8) = -2x

6y - 24 = -2x

6y = -2x + 24

y = -1/3x + 4

Hope this helped! If not please let me know! <3

Answer:

∠A = 45°

Step-by-step explanation:

◺ABC is a right angled triangle.

Sum of interior angles in a triangles is 180.

∠A + ∠B + ∠C = 180°

∠A + 90° + 45° = 180°

∠A = ( 180 - 90 - 45 )°

∠A = 45°

Note : -

□ is 90°

Answer:

g = 10

Step-by-step explanation:

-1.3g + 1.9 = -11.1

-1.3g = -11.1 - 1.9

-1.3g = -13

g = 10

Answer:

$178.75

Step-by-step explanation:

He pays 60 cents for every 200m of gas plus a fixed charge of $13.75

How much does he pay when he uses 55,000 m of gas

55,000/200=275

There are 275 200m in 55,000m of gas

Total paid=275×60+13.75

=16,500 cents +$13.75

=$(16,500/100)+$13.75

=$165+$13.75

=$178.75

Answer: $178.75

Step-by-step explanation:

Per 200m of gas, we have $0.60, plus a fixed rate of $13.75

Then for 55,000m of gas we have:

(55,000m/200m)*$0.60 = $165

then the amount he pays is the $165 plus the fixed rate:

M = $165 + $13.75 = $178.75

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

The transformation rules are:

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

https://brainly.com/question/4289712

#SPJ1

Answer:

Segment AC is congruent to segment LJ

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The sum of the interior angles of a triangle is 180

x + 65 + x + 55 = 180  Combine line terms

2x + 120 = 180  Subtract 120 from both sides

2x = 60  Divide both sides by 2

x = 30

Answer: he used  \(\frac{2}{3}\)  boxes of nail in each tree house

Step-by-step explanation:

divide 2 by 3 we get 2/3 or 0.667 boxes

A carpenter used 2 boxes of nails to build 3 bird houses. he used 4 / 5 of a box on each birdhouse.

Number of boxes, \($\mathrm{Ib}=2$\)

Number of medium sized boxes in each large box, \($\mathrm{mb}=3$\)

Number of small boxes in medium sized box, sb= 1

A carpenter used 2 boxes of nails to build 3 bird houses. he used 4 / 5 of a box on each birdhouse.

You will be involved in the planning, chopping, and construction of furniture as a carpenter utilizing various types of wood. A carpenter's duties include the following: Using a variety of hand and power tools, measuring, marking up, cutting, shaping, fitting and finishing timber; installing floor joists, floorboards, roof trusses and wall partitions; fitting interiors such as staircases, doors, skirting boards, cupboards and kitchens; and erecting frames for bridges, roads, dams, and buildings. You may be working on a construction site, in a client's home.

To learn more about carpenter visit:

brainly.com/question/14275640

#SPJ1

A paired-test can be used to check if the two blood pressure taken from 2 groups,one group having normal blood pressure another having white coat hypertension differ or not.

A paired t-test is used to determine whether two sample means are equal or not. White coat hypertension occurs when a person's blood pressure rises when they are in a medical setting.

To assess whether the two blood pressure measurements differ, a paired t-test should be used. The paired t-test is used to compare two dependent samples that are connected in some manner. A random sample of 50 patients should be taken to see if the two blood pressures differ. Here are the steps for conducting a paired t-test:

- State the null and alternative hypotheses.
- Calculate the difference between the two groups of data.
- Calculate the sample mean, sample standard deviation, and sample size.
- Use the t-distribution to determine the critical value.
- Compute the test statistic.
- Determine the p-value.
- Make a decision.

It is worth noting that in order to use the paired t-test, the data must be normally distributed. Additionally, this test can be performed on a one-tailed or two-tailed basis, depending on the hypothesis test. F-distribution is not used in a paired t-test.

Learn more about finding confidence interval with T-test : https://brainly.com/question/15572507

#SPJ11

There are 120 different ways to award the gold, silver, and bronze medals to the 10 women in the 100 meters race.

The number of ways that the gold, silver, and bronze medals can be awarded to 10 women is a combination problem.

We can use the formula for combinations to determine the number of ways to choose 3 women out of 10 for the medals:

\(nCr = n! / (r! * (n - r)!)\)

Where n is the total number of women (10) and r is the number of medals (3).

So, the number of ways to award the gold, silver, and bronze medals to the 10 women is:

\(10C3 = 10! / (3! * (10 - 3)!) = 120\)

Therefore, there are 120 different ways to award the gold, silver, and bronze medals to the 10 women in the 100 meters race.

To learn more about combination problem. refer the below link

https://brainly.com/question/4658834

#SPJ4

Given:

The inequality is given as,

The objective is to solve the inequality and plot the graph.

Explanation:

First, the inequality can be solved as,

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

Learn more about money

brainly.com/question/2696748

#SPJ11

Answer:

16,849,464 ft³

Step-by-step explanation:

subtract the two volumes of the pyramids.

Answer:

(1,-2)

Step-by-step explanation:

You minus 2 from the x, and add 2 units to the y

Answer:

1) The store selling for 1.1 per 3 lbs

2) $6.24

Step-by-step explanation:

1)

1.1/3 = 0.37

0.78/2 = 0.39

0.37 is cheaper so it's a better deal

2)

\(\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24\)

Answer:

1.10 for 3 is the better deal.  It will cost $6.24 for the pencils.

Step-by-step explanation:

Do two separate problems but find how much it is for 1 carrot.  So the first is:$1.10 divided by 3 carrots = .366 or 37 cents per carrot.

The second one is: .78 divided by 2 carrots = .39 cents per carrot.

If you break 24 students into groups of 3, that would be 8 groups. 24 divided by 3 = 8.  

8 sets of 3 pencils is .78 x 8 = $6.24

The best way to approach a question of this nature is by applying the rule of BODMAS. Just a quick reminder, that means Bracket of Division, Multiplication, Addition and Subtraction.

Observe that the numbers in the parenthesis have a minus and a plus sign, and the question of which to take before the other now arises. So we'll take the addition first before the subtraction.

Start with the smaller parenthesis inside the larger parenthesis. The solution to that is (5-4)^9 which is 1^9. One raised to the power of nine is one, that is;

1^9 = 1

So what you have in effect is;

18/ [8 - 6 + 1]

That effectively becomes

18/ [8 - 7]

18/1

That equals 18.

**Note that the values 8 - 6 were not put in parenthesis, and hence we had to apply the rule of BODMAS. If they had been separated by another smaller parenthesis, then the result would have been [8 - 6] + 1^9 which would be 2 + 1.**

Answer:

EasY

Step-by-step explanation:

Okay so basically like terms are when the variable are the same

so like 5n can go with ones with the same variable which is n

so 5n as a like term would be 7n it couldn't be like 8r because it isn't the same variable as 5n

does this help?

can you reask or something?? do i answer all the q 11 stuff?? im not sure how the logic works, and it is covering the other stuff, ill answer there, i have the image in my tab

The value of r in permutation P(5, r) = 2P(6, r-1) is 11.  So, option d) is correct.

We know that the formula for the permutation of r objects taken from n distinct objects is P(n, r) = n! / (n-r)!. Using this formula, we can rewrite the given equation as:

5! / (5-r)! = 2 * 6! / (6-r+1)!

Simplifying this equation, we get:

5! / (5-r)! = 2 * 6! / (7-r)!

(5-r)! / 5! = (7-r)! / (2 * 6!)

(5-r)! / 5! = (7-r)! / 12

Since 5! = 120, we can simplify the left-hand side to:

(5-r)! / 120 = (7-r)! / 12

Multiplying both sides by 12, we get:

(5-r)! / 10 = (7-r)!

Multiplying both sides by 10, we get:

(5-r)! = 10 * (7-r)!

We can now manually try different values of r until we find one that satisfies the equation. Trying r = 3, we get:

(5-3)! = 10 * (7-3)!

2! = 10 * 4!

2 = 240

Since this is a contradiction, we can eliminate option (a) from the answer choices. Trying r = 5, we get:

(5-5)! = 10 * (7-5)!

1 = 20

Again, this is a contradiction, so we can eliminate option (b) from the answer choices. Trying r = 8, we get:

(5-8)! = 10 * (7-8)!

(-3)! = -10

Since the factorial of a negative number is undefined, this is not a valid solution, so we can eliminate option (c) from the answer choices. Therefore, the correct answer is (d) 11. Trying r = 11, we get:

(5-11)! = 10 * (7-11)!

(-6)! = 10 / 24

Simplifying the right-hand side, we get:

(-6)! = 5 / 12

Since the left-hand side is undefined for negative integers, we can eliminate this solution. Therefore, the only valid solution is r = 11, which we can confirm by checking that both sides of the equation are equal when r = 11. So, the correct answer is option (d).

To know more about Permutation:

https://brainly.com/question/30649574

#SPJ4

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

Read more about Economic Order Quantity at: https://brainly.com/question/26814787

#SPJ1

a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

To learn more click the below link

https://brainly.in/question/1343844

#SPJ11

Answer:  THE 100G PACKET

Step-by-step explanation:

1) FIND OUT THE COST OF COFFEE PER G

So for the 100g coffee it costs ( 8.10 / 100) = $0.081

                                          AND

For the 25g coffee it costs (2.05 / 25) = $0.082

The coffee that is 100g is mor cost-efficient so that is your answer

Answer:

it is equal to 8.07

Step-by-step explanation:

In rectangular solid , x=6.5cm

y = 6.5 cm is  the dimensions that will result in a solid with maximum volume.

What is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart.

                     It is also known as an equiangular quadrilateral for this reason. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let the length and width be x and height be y

S= 2x2+ 4 xy

253.5= 2x2+4xy

y=(253.5-2x2)/4x

V= x2y

V=x2(253.5-2x2)/4x = (253.5x/4) - (x3/2)

V'= (253.5/4) -(3x2/2)

V'=0

(253.5/4) -(3x2/2)=0

x=6.5cm

y = 6.5 cm

Learn more about rectangle

brainly.com/question/29123947

#SPJ4

Answer:

the answer is 12.2 :)

Step-by-step explanation:

The length of AC is approximately 10.85 cm.

To find the length of AC, we can use the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:

c^2 = a^2 + b^2

In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:

AC^2 = AB^2 + BC^2

AC^2 = (10.2 cm)^2 + (3.7 cm)^2

AC^2 = 104.04 cm^2 + 13.69 cm^2

AC^2 = 117.73 cm^2

To find the length of AC, we take the square root of both sides:

AC = sqrt(117.73 cm^2)

AC ≈ 10.85 cm

Therefore, the length of AC is approximately 10.85 cm.

Learn more about   length from

https://brainly.com/question/2217700

#SPJ11