a store bought 150 toys at a cost of $8 each, the store sold all the toys at a percent markup of 35%. find the total selling price​

Step-by-step explanation:

450 - 396 = 54

(54/450) * 100% = 12%

Hence the decrease is 12%.

Answer:

Step-by-step explanation:

The way to solve is to divide the number.

396/450 = 0.88 or 88%

Now, we subtract 88 from 100 to get 12, since we wanted the percent decrease.

Answer:

10 5$ bills and 8 1$ bills

Step-by-step explanation:

Answer:

he has 10 $5 dollar bills and 8 $1 dollar bills

Step-by-step explanation:

Answer:

The answer is the second option  

Step-by-step explanation:

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten

Hope it helps.

If you have any query, feel free to ask.

answer

c.)

Step-by-step explanation:

(-2x)^4 = -2x^4

which is the same as answer c.)

Answer:

C.) 0

Step-by-step explanation:

(1/2 + 1/4 - 3/4)*6

1/2*6 . + . 1/4*6 . -  3/4*6

(3 + 1 1/2 - 4 1/2)

(4 1/2 - 4 1/2)

0

Regards!

Answer:

∠ RQS = 58°, ∠ SRT = 44°

Step-by-step explanation:

The angle at the centre of a circle is equal to the measure of the arc that subtends it, then

angle at centre = arc QR = 76°

∠ RQS = 180° - (76 + 46)° ← sum of angles in a triangle

∠ RQS = 180° - 122° = 58°

-------------------------------------------------

∠ SRQ = 90° ( angle in a semicircle )

∠ SRT = 90° - ∠ QRT = 90° - 46° = 44°

The inequality to represent the number of boxes of donuts,d, they must sell in order to meet their goal is 575 + 5d ≥ 1500

The inequality

575 + 5(d) ≥ 1500

575 + 5d ≥ 1500

5d ≥ 1500 - 575

5d ≥ 925

d ≥ 925 / 5

d ≥ 185 boxes of donuts

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Answer:

17.9

Step-by-step explanation:

Answer:

35 miles.

Step-by-step explanation:

A=3x+65

B=2x+100

3x+65=2x+100

x+65=100

x=35

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Ani will put this in a translator

Step-by-step explanation:

The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (OPTION B)

The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (option b). This recommendation is based on the Dietary Guidelines for Americans and ensures a balanced diet to maintain optimal health. Here's a step-by-step explanation:
Understand the question: You are asked to determine the recommended percentage of total calories that should be obtained from fat in a balanced diet.
Review the given options: The provided options are a) 5% to 15%, b) 20% to 35%, c) 30% to 40%, and d) 10% to 25%.
Recall the recommended guidelines: According to the Dietary Guidelines for Americans, the appropriate percentage range of total calories from fat is 20% to 35%.
Identify the correct option: Based on the guidelines, option b (20% to 35%) is the correct answer.
Provide the answer: The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (option b). This recommendation ensures a balanced diet to maintain optimal health.

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Answer:

x > \(\frac{1}{6}\)

Step-by-step explanation:

Given

- 2 (8x - 4) < 2x + 5 ← distribute left side

- 16x + 8 < 2x + 5 ( subtract 2x from both sides )

- 18x + 8 < 5 ( subtract 8 from both sides )

- 18x < - 3

Divide both sides by - 18, reversing the symbol as a result of dividing by a negative quantity.

x > \(\frac{-3}{-18}\) , that is

x > \(\frac{1}{6}\)

Hope it helps u!

Step-by-step explanation:

why did you square the more complicated factor, why not square the x

p = x^2(60-x)

= 60x^2 - x^3

dp/dx = 120x - 3x^2

= 0 for a max of p

3x(40 - x) = 0

x = 0 or x = 40

obviously x=0 will produce the minimum product

if x = 40

then 60-40 = 20

so the two numbers are 40 and 20 (with 40 as the number that was squared in the product)

Your way should have worked too, but I notice that you jumped from

.... (60-x)^2 to

.....(60-x^2) , that is an error.

my product is (40^2)(20) = 32 000

btw, your two numbers don't even add up to 60

If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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9514 1404 393

Answer:

  Dawn has $1670 in account 1 and $1570 in account 2.

Step-by-step explanation:

Dawn can multiply the second equation by 8 and add 7 times the first equation.

  8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)

  10A = 16,700

  A = 1670

  B = 1570 . . . . 100 less than A

Dawn has $1670 in account 1 and $1570 in account 2.

__

Check

  3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

Kilograms and lbs are two different units of measurements used to measure weight or mass. 85 kg is equal to 187.39 lbs.

Kilograms are a part of the metric system and are the most widely used unit of measurement for non-liquid ingredients in cooking and grocery shopping. Pounds are part of the Imperial system of measurement and are commonly used in the United States. One kilogram is equal to 2.20462262 pounds, which is why 85 kg is equal to 187.39 lbs.

To convert between the two, divide the number of kilograms by 0.453 to get the number of pounds. For example, if you have 100 kg, divide it by 0.453 to get 220.46 lbs. Conversely, to convert from pounds to kilograms, multiply the number of pounds by 0.453 to get the number of kilograms.

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Answer:

Left bottom graph is the correct one.

Answer: The bottom left graph

Step-by-step explanation: The top two are decreasing, so you can rule those answers out. The bottom right one is increasing by more than 4, so that wouldn’t be the answer either. That leaves you with one option which fits the description of the graph.

Answer:

Angle 8

Step-by-step explanation:

Angles 7 and 8 are supplementary because they are both on a straight line.
A straight line is 180*, and the line that forms the angles 7 and 8 splits 180* into those degrees in the angles, so both of those angles add to 180* which makes them supplementary.

Answer:6.83

Step-by-step explanation:

Answer:

6.825

Step-by-step explanation:

100% is equal to 1.

So 10.5% is equal to 0.105.

Multiply by the percentage.

65 * 0.105 = 6.825

There are 30240  different id cards can be made if there are five digits on a card and no digit can be used more than once.

a) If repetition is allowed, then there are 10 ways to choose each of 5 digits. Hence, by the multiplication rule, we obtain that the total number of possible different ID cards is:

10⋅10⋅10⋅10⋅10 = 10⁵= 100000.

b) If repeats are not allowed, there are 10 ways to choose the first number, 9 ways to choose the second number (because we chose 1 digit as the first number), and 9 ways to choose the third number. There are 8 ways, 7 ways, and 7 ways to choose the 4th number. 6 ways to select the digit to select and the 5th digit.

So according to the multiplication rule the answer is:

10 × 9× 8×7×6 = 30240.

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The number of students that wanted to drive the Corvette will be 120 students.

From the information, there are 360 students in a class and one-third of the students in class wanted to drive the Corvette.

Therefore, the number of students that wanted to drive the Corvette will be:

= Fraction × Total students

= 1/3 × 360

= 120

Therefore, the number of students that wanted to drive the Corvette will be 120 students.

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There are 360 students in a class. One-third of the students in class wanted to drive the Corvette. How many students wanted to drive the Corvette?

Answer:

A certain amount of hours

Step-by-step explanation:

Landlords might employ security deposits as a financial safety net to cover any damages that a tenant might cause throughout the period of the lease. The landlord can fully refund the security deposit if the renter vacates the property in good condition.

The diameter of the spherical tank that holds 9000ft³ of water is 25.81 ft.

A diameter is a line that divides a circle into two equal parts.

To calculate the diameter of the tank, we use the formula below.

Formula:

Making d the subject of the equation,

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the diameter of the tank is 25.81 ft.

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Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < \((\frac{3.95 - u }{0.02})\) ) = P ( Z < -2.3263 ) = 0.01

therefore :

\((\frac{3.95 - u }{0.02})\)  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < \(( \frac{3.95-3.98 }{std } )\) )  = P ( Z < -2.3263 ) = 0.01

therefore

\(( \frac{3.95-3.98 }{std } )\) = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

Answer:

The extension of the 6-kg load is 3.75 cm

Step-by-step explanation:

4/2.5 = 6/x

Cross multiply:

4x = 15

15/4 = x

x = 3.75