A little shop sells Christmas toys. The wholesale price for each toy in a consignment of 50 toys was $5.5. Half of this quantity was sold before Christmas for the sales price of $15 per piece. two-fifth of the remaining toys have been sold in the next six days for half of the sales price. Finally, the rest of toys have been sold after the New Year for one-third of the sales price. What was the profit the shop made on selling these toys?

Answers

Answer 1

Answer:

[tex]Profit = \$250[/tex]

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

Determine the profit after sales

First, we need to determine the total cost price;

[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]

[tex]Cost\ Price = 50 * \$5.5[/tex]

[tex]Cost\ Price = \$275[/tex]

First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]

[tex]Half\ of\ the\ toy = 25[/tex]

[tex]Sales = \$15 * 25[/tex]

[tex]Sales = \$375[/tex]

____________________________________________________

Two-fifth of the remaining was sold at half of the sales price

From the above calculation;

[tex]Remaining\ Toy = 50 - 25[/tex]

[tex]Remaining\ Toy = 25[/tex]

Calculating Two-fifth of the remaining:

[tex]\frac{2}{5} * 25[/tex]

[tex]= \frac{50}{5}[/tex]

[tex]= 10[/tex]

Calculating half of the sales price:

[tex]\frac{1}{2} * \$15[/tex]

[tex]\$7.5[/tex]

This means that 10 toys were sold for $7.5

[tex]Sales = 10 * \$7.5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

The remaining was sold at one-third of the sales price

From the above calculations (1 & 2);

[tex]Remaining\ Toy = 50 - 25 - 10[/tex]

[tex]Remaining\ Toy = 15[/tex]

Calculating one-third of the sales price:

[tex]\frac{1}{3} * \$15[/tex]

[tex]\$5[/tex]

This means that 15 toys were sold for $5

[tex]Sales = 15 * \$5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

Now the total sales can be calculated;

[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]

[tex]Total\ Sales = \$525[/tex]

[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]

[tex]Profit = \$525 -\$275[/tex]

[tex]Profit = \$250[/tex]


Related Questions

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.

Answers

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY

Answers

Answer:

10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damage

  all are maximum values

Step-by-step explanation:

Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

The slope is the rate of change for temperature. If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive. If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative. What is the slope of your equation?

Answers

Answer:

add pic

Step-by-step explanation:

Answer:

m=6.5

Step-by-step explanation:

thats what you type in

Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone? StartFraction 20 Over 3 EndFraction pi inches cubed 20 pi inches cubed StartFraction 80 Over 3 EndFraction pi inches cubed 80 pi inches cubed

Answers

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cone is 1/3πr² · h

1. Set up the equation

1/3π2² · 5

2. Solve

1/3π(4)(5)

20/3π in.³

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

height - 5 in

diameter - 4 in

radius - 2 in (half of diameter)

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V = [tex]\pi (2)^{2} \frac{5}{3}[/tex]

V = [tex]\pi (4)\frac{5}{3}[/tex]

V = [tex]\pi (\frac{20}{3} )[/tex]

V = [tex]\frac{20}{3} \pi[/tex] in³

The volume of the cone is 20 over 3 pi inches cubed.

Hope that helps.

ASAP!!! ON A TIME LIMIT!!!

Which expression is equivalent to 10k+17-7j-18-11k

-8jk-1

-7j-k-1

-7j+k+1

-8j-k

Answers

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish

Answers

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation:

What is the quotient?
x-1/7x2-3x-9

Answers

x-1/2x2-3x-9
=2x-10

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?

Answers

Answer:

perimeter of a cuboid is 4(L+B+H).

so, L=1m, B=0.4m,H=0.8m

substituting by formula,

4(1+0.4+0.8)

= 4(2.2)

=8.8

AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m

Step-by-step explanation:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

3.04 m^2

Step-by-step explanation:

What is 21 multiplied by 80

Answers

Answer:

1680

Step-by-step explanation:

you can use a calculator or do the normal operation

The answer is 1680 it helps to take away the zero from the 80 and multiple 21x8 which is 168 and then you add the zero we took away earlier at the end of 168.

If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2

Answers

Answer:

[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

If cos x=−6/7, and 90°

Answers

Answer: 0.4693877

Step-by-step explanation:

Given that:

cos x=−6/7,

From trigonometry :

Cosx + sinx = 1

Cos2x = cos(x + x)

Recall the double angle identity:

Cos2x = 2cos^2x - 1

Sin2x = 1 - 2sin^2x

Since cosx = - 6/7

Then

Cos2x = 2cos^2x - 1

Cos2x = 2cosx^2 - 1

Cos2x = 2(-6/7)^2 - 1

Cos2x = 2(36/49) - 1

Cos2x = 2 * (72/98) - 1

Cos2x = (2 * 0.7346938) - 1

Cos 2x = ( 1.4693877 - 1)

Cos2x = 0.4693877

Simplify
(5/7)a²+13-(5/7)a-3​

Answers

Answer:

c

Step-by-step explanation:

combine like terms:

5/7a^2+-5/7a+10

HOPE THIS HELPS!!!!!!:)

Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal

Answers

Answer:

32.823 kJ190.4 kJ260.00 kJ180.012 kJ

Step-by-step explanation:

The conversion factor for food energy or thermochemical calorimetry* is ...

  1 calorie = 4.184 J

  1000 calorie = 4.184 kJ

__

a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ

b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ

c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ

d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ

_____

* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.

Please help me with this question! I will give the brainliest to the one with the right answer!!!

Answers

Answer:

x =4

Step-by-step explanation:

hope this is the correct answer

Answer: B

Step-by-step explanation:  B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4

The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7

Answers

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE ​

Answers

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374

Answers

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

how do you solve this question?

Answers

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

(a) y=8x-46

(b) 8x-y=46

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

What is the length of DF?

Answers

Answer:

7.06

Step-by-step explanation:

17/8 = 15/DF

DF = 7.06

The answer is 7.06
I think that’s right

I dont understand how they got that awnser​

Answers

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

width =5 cm  height= 9cm

of B

width= 3height= 2

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

Because this is a complex shape it had to be broken down into simpler shapes in order for you to calculate the area of the individual shapes, once you’ve done that you can add all the areas together and then multiply it by the lengh (4cm) in order to find its volume.
I hope this helped

help me please it will save my life​

Answers

Answer: 197

Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that

The correct answer would be 197

Which expression is equivalent to ...

Answers

Answer:

[tex] \sqrt{6} [/tex]

Step-by-step explanation:

[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]

Simplify the radical expression

[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]

[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]

[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]

collect the like terms

[tex]9 - 8 \sqrt{6} [/tex]

[tex]1 \sqrt{6} [/tex]

[tex] \sqrt{6} [/tex]

Hope this helps...

good luck on your assignment..

100 POINTS!!! Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units (3, -1) and (5, 4) (2, 3) and (4, 5) (-5, 7) and (8, 5) (-2, 4) and (3, -1)

Answers

Answer:

(3, -1) -> (5, 4) = √29 or 5.38516

(2, 3) -> (4, 5) = 2√2 or 2.82843

(-5, 7) -> (8, 5) = √173 or 13.1529

(-2, 4) -> (3, -1) = 5√2 or 7.07107

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug the coordinates into the distance formula:

[tex]d=\sqrt{(5-3)^2+(4+1)^2} = \sqrt{29}[/tex]

[tex]d=\sqrt{(4-2)^2+(5-3)^2} = 2\sqrt{2}[/tex]

[tex]d=\sqrt{(8+5)^2+(5-7)^2} = \sqrt{173}[/tex]

[tex]d=\sqrt{(3+2)^2+(-1-4)^2} = 5\sqrt{2}[/tex]

To get the decimals, we evaluate the square roots:

√29 = 5.38516

2√2 = 2.82843

√173 = 13.1529

5√2 = 7.07107

Answer:

d = √[(x₂ - x₁)² + (y₂-y₁)²]

(3, -1) and (5, 4)

√(5−3)²+(4-(-1)²

√(2)²+(5)²

√4+25

√29 = 5.385164807134504 = 5.39

(2,3) and (4,5)

√(4-2)v+(5−3)²

√(2)²+(2)²

√4+4

√8 ≈2.8284271247461903 = 2.83

(-5, 7) and (8,5)

√(8−−5)²+(5−7)²

√(8++0)2+(5−7)²

√(13)²+(−2)²

√169+4

√173 ≈ 13.152946437965905 = 13.15

(-2, 4) and (3, -1)

(3− −2)²+(−1−4)²

√(3++0)²+(−1−4)²

√(5)² + (−5)²

√25+25

√50 ≈ 7.0710678118654755 = 7.07

Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

Answers

Answer:

It's not a real solution

Step-by-step explanation:

There’s no statements

Please help me with this geometry question:((

Answers

Answer:

(x + 3.5 ) / (x - 4 )  = 20 / 8

8x + 28 = 20x -80

12x = 108

x = 9

Step-by-step explanation:

Your answer would be x=9

ASAP!! can someone help solve these and include work

Answers

Answer:

Below

Step-by-step explanation:

The triangle ABC is a right triangle so we will use the Pythagorian theorem

c^2 =5^2 + 8^2

c^2 = 25 + 64

c^2 = 89

c = 9.43

We khow that the sum of a triangle's angles is 180°

So B+90+58= 180

B+ 148 = 180

B = 180-148

B = 32°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Tan A = opposite/ adjacent

Tan A = 5/12

I agree with what they said

What is the domain of this function graphed above?

Answers

Answer:

domain: x cant be equal to 3.75

Step-by-step explanation:

I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.

Anyway, here are my calculations. If the help you somehow to solve the question - great!

If not,srry to disappoint you

Find m∠QPR..........

Answers

Hey there! :)

Answer:

m∠QPR = 25°.

Step-by-step explanation:

Given:

m∠QPS = 40°

m∠RPS = 8x + 7°

m∠QPR = 9x + 16°

m∠QPS = m∠RPS + m∠QPR, therefore:

40° = 8x + 7° + 9x + 16°

Combine like terms:

40° = 17x + 23°

Subtract 23° from both sides:

17° = 17x°

Divide both sides by 17:

x = 1°

If m∠QPR = 9x + 16°, substitute in 1 for 'x':

9(1) + 16 = 9 + 16 = 25°.

We need to find the value of x.

If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.

Now substitute the measures into the equation.

9x + 16 + 8x + 7 = 40.

Now combine like terms to get 17x + 23 = 40.

Now subtract 23 form both sides to get 17x = 17.

Now divide both sides by 17 to find that x = 1.

Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.

So we have 9(1) + 16 which is 25.

So m<QPR is 25°.

Other Questions
Look at this triangle work out length AB What is the vertex of the graph of g(x) = |x 8| + 6? I'm a scientist working on a very high-class operation in a classified area, we experienced some very strange encounters with the people we test on, like trying to bite us,attack us causing harm i think we discovered something. if four boys spent 2.5 hrs to do a job, how many hrs will 5 boys spend When solving the equation, which is the best first step to begin to simplify the equation? Equation: -2 (x + 3) = -10 A: (-2)(-2)(x+3)= -10(-2) B: -1/2(-2)(x+3)= -10(-1/2) C: -2/2(x+3)= -10/2 D: -2/-10(x+3)= -10/-10 Please Help, the question is down below can you think of any other disadvantage of zoos If Line LK = 16, find the length of Line JK. Solve the quadratic equation x2 + 2x 20 = 0 by completing the square. How did Czechoslovakia react to Germanys annexation of Sudetenland? Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system {56s=70ts=t+12 for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her. Match the following.____________ Auditory area. ____________Primary somatosensory cortex. ____________Primary (somatic) motor cortex. ____________Motor speech (Broca's) area. ____________Premotor cortex. ____________Visual area. ____________Gustatory (taste) area. ____________Seat of intelligence, abstract a. Frontal lobe b. Parietal lobe c. Insula d. Occipital lobe e. Temporal lobe An internal control system consists of all policies and procedures used to protect assets, ensure reliable accounting, promote efficient operations, and urge adherence to company policies. Evaluate each of the following statements and indicate which are true and which are false regarding the objectives of an internal control system. 1. Separation of recordkeeping for assets from the custody over assets is intended to reduce theft and fraud. 2. The primary objective of internal control procedures is to safeguard the business against theft from government agencies. 3. The main objective of internal control procedures is best accomplished by designing an operational system with managerial policies that protect the assets from waste, fraud, and theft. 4. Separating the responsibility for a transaction between two or more individuals or departments will not help prevent someone from creating a fictitious invoice and paying the money to herself or himself. Why is Wikipedia an unreliable source? Can someone help me with the question please rectangleabcd is graphed in the coordinate plane. the following are the vertices of the rectangle:a(2,6),b(5,6),c(5,2) andd(2,2) What is the perimeter of rectangle ABCd? URGENTT!does a fire take food for energy?does a fire reproduce?does a fire produce waste? Select the correct answer from the drop-down menu. ______________ are used in the production of organic foods. A. Neither pesticides nor hormones B. Neither pesticides or hormones. A circle has a radius of sqrt 45 units and is centered at (-2.4, -4.8) Write the equation of the circle What could happen if the cell cycle for the cells in your pinky finger stopped functioning properly? (Check all that apply.)