Mathematics High School

a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2

Answers

Answer 1
3/(5x) + 1/(x+2)

to give them the same denominator,
multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
now we have
3x+6/(5x)(x+2) and 5x/(5x)(x+2)
adding the numerators gives us

8x+6/(5x)(x+2)
therefore a=8 and b=6
Answer 2

The value of a and b are a=8 and b=6 respectively.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given the expression as

3/(5x) + 1/(x+2)

We have to multiply 3 by (x+2) and 1 by (5x)

3(x+2) = 3x+2 and 1(5x)= 5x

Now we have

3x+6/(5x)(x+2)

5x/(5x)(x+2)

Now adding the numerators gives us

8x+6/(5x)(x+2)

Therefore a=8 and b=6

Learn more about factorization here:

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The circumference of a circle is 27.004 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

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Answers

Answer: 2*200-321+67=56-65? look at the picture

Step-by-step explanation: Hope this help :D

Answer:

-9

Step-by-step explanation:

2 x 200 = 400

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Please let me know if this helps.

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Answers

Answer: The answer is 4/3 the original answer is 1 and 1/3 but if you simplify it you get 4/3

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Step-by-step explanation:

What is the surface area of this figure?

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Answers

Answer:

24 cm ²  B.

Step-by-step explanation:

if the triangle is a right triangle he I know it

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Find the number that makes the ratio equivalent to 1:8.
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Answers

Answer:

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Step-by-step explanation:

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so if we do the number under 1 (8) times 8 the ratio will be consistent

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Hope I helped (p.s. maybe brainlest answer)

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Answer:

pt A' is (2, 4)

Step-by-step explanation:

How many students chose tiktok?
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45 choose tiktok. In the graph it’s counting by 10s while in the middle are 5s.

Answer:

about 35% of the 120 students which means 42 students picked it .

Which coupon gives you a better deal on the ps5? (Explain why as well)

Answers

Answer:

30%

Step-by-step explanation:

500 - $30 = $470

30% of 500 is 150

500-150=350

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You must use this formula: A= P(1+r) power of t
P=starting price
r= rate in decimal form
t= number of years

Since you own the jersey for 1025, that will be P.
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The number of years is calculated by subtracted 2028 and 2022 (today’s date), which is 6.
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What is the answer and can you please explain how to do the work.

Answers

Answer:

28in

Step-by-step explanation:

you cut the face in shapes you recognize how to do the area of. Then find the numbers of the shapes that might be missing, then add them all up.

I see a rectangle, square, and square.

A = 10×2

A = 20in

A = 2x2

A = 4

A = 2x2

A = 4

add the areas up you get 28in

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Answers

Ok 23/4=23/4 ok ok ok ok ok ok ok

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Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

What is the volume of a hemisphere with a radius of 6.5 ft, rounded to the
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Answers

Answer:

Answer:574.9ft^3.

Step-by-step explanation:

radius (r) = 6.5feet

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14 x (6.5) ^3

Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5

Volume = (2x3.14x6.5x6.5x6.5) ➗ 3

Volume=1724.645 ➗ 3

Volume=574.9ft^3

The volume of a hemisphere with a radius of 6.5 ft, rounded to the

nearest tenth of a cubic foot is 574.9ft^3.

What is the volume of a hemisphere?

The volume of a hemisphere that has radius r can be calculated as

[tex]2/3\times \pi \times r^3[/tex]

It is given that the hemisphere

radius (r) = 6.5feet

π=3.14

The volume of a hemisphere

=[tex]= 2/3\times \pi \times r^3\\\\= 2/3 \times3.14\times (6.5) ^3\\\\2/3 \times3.14 \times6.5 \times6.5 \times6.5\\\\1724.645 /3\\574.9ft^3[/tex]

Learn more about hemispheres;

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Answers

Answer: 14 Units

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PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST

Answers

Answer:

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Step-by-step explanation:

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= ½ × (8+8) × 15

=½ × 16 × 15

= 120 sq.cm

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Answers

4 hours she spent .............:

Answer:

4

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation u just have to add them all the same ok

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

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Answers

I hope this helps you

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Answers

Answer:

x = 49.4°

Steps:

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tan(x) = FG/EF

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Answer:

Pictograph

Step-by-step explanation:

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Answer:

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