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.

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

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.

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.

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

Volume of a cylinder = nr^2h

Where:

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

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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

Answer:

x = 1, x = -1

Step-by-step explanation:

-x² = -1

x² = 1

x = ±1

Answer:

a

Step-by-step explanation:

sin25=x/18

x=0.4*18=7.6

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

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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

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

Answer:

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

Step-by-step explanation:

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.

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.

Answer:

800

Step-by-step explanation:

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

200 x 2 x 2 = 800

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:

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!

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

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!

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.

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

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! :)

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

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

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.

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

Answer:

it's 128 x 72 =9,216

Step-by-step explanation:

N = 560

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

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

Answer:

17 qt

Step-by-step explanation: