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3 years ago

In how many ways can an

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Answer:

You need the combinations formula:

Combinations = n! / (r! * (n-r)!)

where n = total # of choices (8) and r = # of choices (4)

Combinations = 8 * 7 * 6 * 5 * 4! / (4! * 4 * 3 * 2 * 1)

Combinations = 8 * 7 * 6 * 5 / 4 * 3 * 2 * 1

Combinations = 7 * 2 * 5

Combinations = 70

Step-by-step explanation:

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Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.

timama [110]

The solution of the equation is $x=\frac{11}{7}$

Step-by-step explanation:

To simplify an equation of x

Simplify each side of the equation
Collect x in side and the numerical terms in the other side
Find the value of x

∵ The equation is $2x + \frac{1-x}{4}=3$

- Multiply all terms of the equation by 4 to cancel the denominator

of the 2nd term in the left hand side

∵ The equation is $4(2x) +4 (\frac{1-x}{4})=4(3)$

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ $x=\frac{11}{7}$

The solution of the equation is $x=\frac{11}{7}$

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

3 0

3 years ago

Suppose r(140°, P)(A) = B and (RPD←→∘RPC←→)(A) = B, what is m∠CPD?

NISA [10]

An angle bisector divides an angle into two equal halves.

The measure of angle $\angle CPD$ is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

$\angle RPD = 140^o$ , and line PC bisects $\angle RPD$

Because line PC bisects $\angle RPD$ , then it means that the measure of RPD is twice the measure of CPD:

So, we have:

$\angle RDP = 2 \times \angle CPD$

Substitute $\angle RPD = 140^o$

$140^o = 2 \times \angle CPD$

Divide both sides by 2

$70^o = \angle CPD$

Apply symmetric property of equality:

$\angle CPD = 70^o$

Hence, the measure of angle $\angle CPD$ is 70 degrees

Read more about angle bisectors at:

brainly.com/question/12896755

5 0

3 years ago

Which decimal is equivalent to 8.100

larisa86 [58]

Answer:

81/10

Step-by-step explanation:

i just figured it out i really don't have one but i hope it helps

7 0

3 years ago

Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He wants them to be cut into equal sections that are as lo

zubka84 [21]

Each piece will be 6 inches, and there will be 7 I believe.

7 0

4 years ago

25 inches measurement yes or no

anyanavicka [17]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago