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2 years ago

Work out the sum of 1 2 , 1 4 and 2 5 . Give your answer as a mixed number in its simplest form.

Mathematics

1 answer:

ollegr [7]2 years ago

7 0

Answer:

Sum of fractions = 1³/₂₀

Step-by-step explanation:

Given fractions;

1/2 , 1/4 and 2/5

Find:

Sum of fractions

Computation:

1/2 + 1/4 + 2/5

Step 1 ;

Taking LCM of denominator

[(1 x 10) + (1 x 5) + (2 x 4)]/ 20

Step 2 :

Using BODMAS rule;

[10 + 5 + 8] / 20

[15 + 8] / 20

23 / 20

Step 3:

By changing simple fraction into mixed fraction

Sum of fractions = 1³/₂₀

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15=x/3 +7 equation to words

emmasim [6.3K]

15 is equal to x divided by 3 plus 7

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2 years ago

What is the value of K?

Ksju [112]

Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.

Explanation:

Given: A quadratic equation, kx2 - 14x + 8 = 0

Let the two zeros of the equation be α and β.

According to the given question, if one of the roots is α the other root will be 6α.

Thus, β = 6α

Hence, the two zeros are α and 6α.

We know that for a given quadratic equation ax2 + bx + c = 0

The sum of the zeros is expressed as,

α + β = - b / a

The product of the zeros is expressed as,

αβ = c / a

For the given quadratic equation kx2 - 14x + 8 = 0,

a = k, b = -14, c = 8

The sum of the zeros is:

α + 6α = 14 / k [Since the two zeros are α and 6α]

⇒ 7α = 14 / k

⇒ α = 2 / k --------------- (1)

The product of the zeros is:

⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]

⇒ 6α 2 = 8 / k

⇒ 6 (2 / k)2 = 8 / k [From (1)]

⇒ 6 × (4 / k) = 8

⇒ k = 24 / 8

⇒ k = 3

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2 years ago

What are the coefficients for the binomial expansion of (p+q)^6

seropon [69]

Answer:

1 6 15 20 15 6 1

Step-by-step explanation:

To figure this out, we need to look at Pascal's Triangle, which is a tricky little way to find the coefficients for any binomial expression like this! Check the attached photo.

Because this is to the sixth, we need the 6th row, which is 1 6 15 20 15 6 1. From this, we know that those numbers are the coefficients!

8 0

3 years ago

Read 2 more answers

17) List the ways five dogs a Beagle, a Collie, a Greyhound, a Poodle and a

Gnoma [55]

Answer:

10 pairs

It is a combination

Explanation:

This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.

The formula for combinations is:

$C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}$

For five diffferent dogs to be put in pairs, the number of different pairs is:

$C(5,2)=\dfrac{5!}{2!\cdot (5-2)!}=\dfrac{5\times 4}{2}=10$

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3 years ago

What is X 1+X/2=3x+4 over 9

Fynjy0 [20]

X= 2 over 9 or in decimal form 0.2222....

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3 years ago