2 CDs and 9 DVDs cost £69. 2 CDs and 6 DVDs cost £48. i. Form a pair of simultaneous equations to represent these two sentences ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.

Answers

Answer 1

Answer:

Cost of 1 CD = x = £3

Cost of 1 DVD = y = £7

Step-by-step explanation:

Let us represent:

Cost of 1 CD = x

Cost of 1 DVD = y

i. Form a pair of simultaneous equations to represent these two sentences

2 CDs and 9 DVDs cost £69.

2x + 9y = 69.... Equation 1

2 CDs and 6 DVDs cost £48.

2x + 6y = 48..... Equation 2

ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.

Combining both equations together:

2x + 9y = 69.... Equation 1

2x + 6y = 48..... Equation 2

We substract Equation 2 from Equation 1

3y = 21

y = £7

Solving for x using Equation 1

2x + 9y = 69.... Equation 1

2x + 9 × 7 = 69

2x + 63 = 69

Collect like terms

2x = 69 - 63

2x = 6

x = 6/2

x = £3

Therefore,

Cost of 1 CD = x = £3

Cost of 1 DVD = y = £7


Related Questions

Micheal is using the table below to find the value of 128 x 72 .
Thank you to anyone who answers .

Answers

Answer:

it's 128 x 72 =9,216

Step-by-step explanation:

N = 560

NEED HELP
On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. One student’s test grade was 91. What is the z-score for the student’s test?

–5.20
–2.60
2.60
5.20

Answers

Answer:

2.60

Step-by-step explanation:

z-score is the difference between the score and mean, divided by the standard deviation.

[tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]z = \frac{91-77.5}{5.2} = \frac{13.5}{5.2} \approx 2.596[/tex]

So 2.6 is an answer close enough.

Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter

Answers

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room.  Keyword for perimeter here is around.

Perimeter

This is because Perimeter is the amount around the space and everything

If the number of bacteria in a colony doubles every 480 hours and there is currently a
population of 200 bacteria, what will the population be 960 hours from now?

Answers

Answer:

800

Step-by-step explanation:

960 = 2 x 480, so the bacteria will double twice

200 x 2 x 2 = 800

800 bacteria is the correct answer

hope it helps you

The temperature was 48°F and dropped 15° in two hours.
What was the temperature after the change?

Answers

Answer:

33 degrees Fahrenheit.

Step-by-step explanation:

If the temperature was 48 degrees, and it dropped 15, that means the initial temperature was subtracted by 15.

48 - 15 = 33.

Answer:

33°F

Step-by-step explanation:

The initial temperature was 48°F. Then, it dropped by 15°.

I am assuming that both values are given in the same unit.

48 - 15 = 33

The temperature should be 33 degrees now.

Hope this helps.

Can All mixed numbers can be renamed as decimals?

Answers

Answer:

We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.

Answer:

Yes

Step-by-step explanation:

Any mixed number that you have, is really the whole number and a set amount of fractions behind it.

If you have 3  [tex]\frac{6}{9}[/tex], then you can change that to 3.6666.... If you have 1  [tex]\frac{1}{2}[/tex], then you can change that to 1.5.

Hope that this helps!


a pair of shoes cost
$74.99 and tax is
9%. What is the
total cost of the shoes?

Answers

Answer:

i believe the answer is $81.74

Step-by-step explanation:

74.99*9%

= 6.7491

74.99+6.7491

=81.7391

=$81.74

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Help thank you ! Elimination method

Answers

Answer:

x=0

y=7

Step-by-step explanation:

Divide 6x-4y=-28 by -2..... -3x+2y=14

3x+5y=35

-3x+2y=14

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

7y=49

y=7

6x-4*7=-28

x=0

Find the area of this shape *

Answers

Answer:

134.1 ft²

Step-by-step explanation:

Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.

The area of the square

= 25²

= 625 ft²

The radius of the circle

= 25 ÷ 2

= 12.5 ft

The area of the circle

= π × 12.5²

= 490.87385...

= 490.9 ft² (rounded up to the nearest tenth)

The area of the shaded part

= 625 - 490.9

= 134.1 ft²

¡please help!
The solutions of the equation -x2 +1 = 0 are
and x =

Answers

Answer:

x = 1, x = -1

Step-by-step explanation:

-x² = -1

x² = 1

x = ±1

pls help! In the figure below, m∠ABC = 57 degrees and m∠DAB =116 degrees. What is m∠ABC?

Answers

Answer:

59°

Step-by-step explanation:

116-57=59

the outside angle is the 2 inner angles added together

Answer:

59 degrees

Step-by-step explanation:

you can use angle DAB to find out angle BAC by subtracting 180 and 116 to get 64

add 57 and 64 to get 121

subtract 180 and 121 to get 59 degrees.

What is the initial value of the function represented by this graph?
~ 5
~ 2
~ 0
~ 1​

Answers

i would say 2 because it’s the y intercept
i’m sorry if it’s wrong :/

The volume of a sphere can be calculated by V = 4/3 * pi If the volume is 113.04 cm ^ 3 what is the radius?

Answers

Answer:

2.99 cm

Step-by-step explanation:

V= [tex]\frac{4}{3}[/tex](pi)(r^3)=113.04cm^3

113.04/ [tex]\frac{4}{3}[/tex](pi) = r^3 = 26.99

r=[tex]\sqrt[3]{26.99}[/tex] = 2.99cm

Answer:

Step-by-step explanation:

Answer is 3

Jessica bought 5​ gallons of orange juice. The cost of 1​ quart of orange juice is $2​. How much, in dollars, did Jessica spend on orange juice?

Answers

Answer:

$40

Step-by-step explanation:

convert gallons to quart

1 gallon = 4 quarts

5 x 4 = 20 quarts

total cost = 20 x 2 = $40

Need help with this question as well thank you ppl

Answers

Answer:

42  .. isn't that the answer to everything?   :P

Step-by-step explanation:

Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?

Answers

The answer is The length of line segment AB is twice the length
of liar segment oC.
the length of line segment AB is twice the length of
line segment Bc.

Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15

Answers

Answer:

2/3 divided by 4/5 = 5/6

Step-by-step explanation:

Arianna working:

2/3 divided by 4/5

= 2/3 x 4/5

= 8/15

Correct working:

2/3 divided by 4/5

= 2/3 ÷ 4/5

Multiply 2/3 by the reciprocal of 4/5

= 2/3 × 5/4

= (2*5) / (3*4)

= 10/12

= 5/6

2/3 divided by 4/5 = 5/6

Arianna's mistake was she didn't multiply by the reciprocal of 4/5

Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Answers

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

A normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?

Answers

Answer:

0.15866

Step-by-step explanation:

The term at most 9 means = less than or equal to 9

This represented as x ≤ 9

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ≤ 9

μ is the population mean = 10

σ is the population standard deviation = 1

z = 9 - 10/1

z = -1

Probability value from Z-Table:

P(x ≤ 9) = 0.15866

Therefore, the probability of selecting a number that is at most 9 is 0.15866

answer for 40 points!!!​

Answers

Answer:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Step-by-step explanation:

Answer:

First add the fraction then the whole number

Step-by-step explanation:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

the expression cos x (cos x - tanx sin x) simplifies to...

Answers

Answer:

cos(2x)

Step-by-step explanation:

The simplified expression is

How to evaluate trigonometric expression?

A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.

Given expression:

cos(x){cos(x)-tan(x)sin(x)}

Evaluation:

[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]

[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]

[tex]cos^{2}x-sin^{2}x[/tex]

[tex]cos2x[/tex]

Therefore, the given expression simplifies to cos2x.

To know more about trigonometric expressions refer:https://brainly.com/question/12542599

#SPJ2

20 points Answer correct

Answers

Answer:

a

Step-by-step explanation:

sin25=x/18

x=0.4*18=7.6

t−7≤12
asap please hjvgjuiohkbjknl m kl;m

Answers

Answer:

t is less  than or equal to 19

Step-by-step explanation:

t-7<12

+7

t is less than or equal to 19

Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEIR GETTIN LA CANCLETA

Answers

Answer:

x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.

The local grocery store sells a gallon of milk for 2.94 if my family drinks 1.5 gallon of milk every week how much will they spend on milk for 4 weeks

Answers

Answer:

$17.64

Step-by-step explanation:

First multiply 2.94 and 1.5 to find the price for 1.5 gallon os milk.

2.94 x 1.5 = 4.41

Then you multpily by 4 to see the balance after 4 weeks

4.41 x 4 = 17.64

Please simplify. IF U TRY TO SCAM ME WITH A LINK OR A NON ANSWER, I REPORT!!

Answers

Answer:

1. 192 or 12^4       13. 4c^7 d^13

2. 8x^6                 14. 16f^10 g^22

3. x^8                    15. x^4y^4

4. 4x^5                  16. xy

5. 6^2                    17. x^12/64y^9

6. 1/x^3                  18. x^8/256y^16

7. 1                         19. 1/y^7

8. -1                        20. 1/49

9. y^12                    21. x^5

10. x^8y^4              22. 16

11. 3x^3                   23. x^4

12. 2x^3                  24. 1/x^6

                               25. x^2

                               26. 1/j^3

Hope this helps! :)

help please.

giving brainliest

Answers

Answer:

17 qt

Step-by-step explanation:

help please :/
jejsjsj

Answers

Answer:

-6

-21

12

Step-by-step explanation:

can i get brainly

Answer:

- 6, - 21, 12

Step-by-step explanation:

(1)

2x - 7 = - 19 ( add 7 to both sides )

2x = - 12 ( divide both sides by 2 )

x = - 6

(2)

[tex]\frac{x}{-3}[/tex] + 5 = 12 ( subtract 5 from both sides )

[tex]\frac{x}{-3}[/tex] = 7 ( multiply both sides by - 3 to clear the fraction )

x = - 21

(3)

[tex]\frac{3}{4}[/tex] x - 5 = 4 ( add 5 to both sides )

[tex]\frac{3}{4}[/tex] x = 9 ( multiply both sides by 4 to clear the fraction )

3x = 36 ( divide both sides by 3 )

x = 12

A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3

Answers

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

What is the volume of the cylinder?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

n = 22/7 r = radius = diameter / 2

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ2

NEED HELP ASAP !!

A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°​

Answers

Answer:

C

Step-by-step explanation:

i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it

3x=30

x=10

c i believe if you need an explanation lmk
Other Questions
HElp fast pleaseRead the description of the biotechnology R&D professional and identify his specific career.Dan is a biotechnology R&D professional who studies the chemical makeup of plants as well as animals. Dan is a (blank). Which planet's atmosphere can be described as 'Hellish'? * In Dr. King's "I Have a Dream" speech, he says that his dream is "deeply rooted in the ________ dream." help plzzzzzz!!!!!!! (2a + 3b + 1) - (3a + 5b) - (2a - 2b 3) Which one does NOT help determine the theme? aThe moral of the story bThe lesson in the story cThe characters in the story dThe main idea of the story This program exercise #4 wants the user to write a program in python that contains a list of movies titles, years and movie rating. You will need to display a menu option that allows the user to list all of the movies, add a movie, delete a movie and exit out of the program. This will be done using lists and the functions to add an element to a list and how to delete an element to a list. The program should be written utilizing functions in python for the main function, the display_menu function, the delete function, the add function and the list movie function. You can place this all in one python file or include them in various python files that include them into the main program. Let me know if you have any questions with this exercise. Output Screen: COMMAND MENU list - List all movies add - Add a movie del - Delete a movie exit - Exit program Command List: list 1. Monty Python and the Holy Grail, 1979, R 2. On the Waterfront, 1954, PG 3. Cat on a Hot Tim Roof, 1958, R Command: add Name: Gone with the Wind Year: 1939 Rating: PG Gone with the Wind was added. Describe, in words, the process you would use to find w. Please help (;`) does anyone know how to make a powerpoint but put the essay in it from word and add pictures Which of the equations below shows the relationship in the table? At a weekly staff meeting, the participants first discuss the topics that need immediate attention. This will ensure that the urgent issues are covered even if the meeting is cut short. What term best describes these topics?A.) action topicsB.) negotiation topicsC.) participation topicsD.) timeliness topics A sphere with diameter of 12 cm is being painted. How much more paint is now needed to paint the sphere that has four times the original diameter.4 times more paintB 8 times more paint16 times more paintD 64 times more paint Daniel Company uses the perpetual inventory system to account for its merchandise. The beginning balance of the inventory and its transactions during January were as follows: January 1: Beginning Balance of 18 units at $13 each January 12: Purchased 15 units at $14 each January 19: Sold 24 units at a selling price of $28 each January 20: Purchased 24 units at $17 each January 27: Sold 27 units at a selling price of $32 each If the company uses the FIFO inventory method, what would be the Gross Profit for the month of January **will give 100 points***Write 5 sentences in Spanish using the present subjunctive tense. True or False ?? Please help i really need help please and thank you PLEASE HURRY !Mary Maloney made sure to cover her tracks in "Lamb to the Slaughter," ensuring that the police could not implicate her in Patrick's murder. You are now detectives who must discuss elements that lead to a "perfect murder." Draft a list of perfect-murder ingredients and put the elements in order of importance. Elements may include the following: the murderer would try to leave no clues for police to find, the murderer would make sure there's no noise, the murder would look like an accident and the murderer would have a strong alibi. There are 64 teams in a basketball tournament. All teams play in thefirst round but only winning teams move on to subsequent rounds.Write an explicit rule for T(n), the number of games in the nth round ofthe tournament. State the domain: One of the tallest living trees today is the Mendocino Tree found atMontgomery Woods State Park, California. Its height is about 11,200centimeters. What is this height in scientific notation?