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3 years ago

What is an algebraic expression for 2+5p

Mathematics

1 answer:

Marrrta [24]3 years ago

6 0

Answer:

two plus 5 times p or two more than the product of 5 and p.

Step-by-step explanation:

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This graph shows fuel consumption for a car during a test run. Three of the statements are true. Which is NOT?

diamong [38]

The answer I got was C = The car used 70 gallons of gas to go 3 miles.

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3 years ago

The population in the trapezoid-shaped region shown is about 3000 people. How many people are there per square mile?

Anastasy [175]

Answer: $\frac{3,000}{A}$

Step-by-step explanation:

<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>

For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

$A=\frac{h(B+b) }{2}$

Where "B" and "b" are the bases of the trapezoid and "h" is the height.

So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.

Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.

Then, the following expression represents the number of people per square mile in that region:

$\frac{3,000}{A}$

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3 years ago

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Simplify 8 to the -5th power over 8 to the -3rd power

svetoff [14.1K]

Answer:

the first one

Step-by-step explanation:

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3 years ago

A holiday costs £1900. Work out the price after a 9% discount

prohojiy [21]

Answer:

1900×9÷100

19×9=171

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3 years ago

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You know how to play 21 songs on your guitar. (a) If you want to choose 8 of the songs to make a setlist to play for a small gat

UNO [17]

Answer:

Step-by-step explanation:

<u>Combinations and Permutations</u>

Combinatorics is the part of the discrete mathematics that studies the enumeration of groups or sorting of a determined number of elements. The concept of combinations is tied to the different forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in a different order.

The concept of combinations is tied to the differents forms to group elements where the order of their arrangements is not important or does not differentiate from the very same set of elements picked in different order.

On the other hand, permutations or variations are sets selected in a specific order and another set with the same element but in different order is considered a different set.

If we have n elements available to pick from in sets of m elements each, there can be C(n,m) different combinations, and it's given by

$\displaystyle C(n,m)=\frac{n!}{m!(n-m)!}$

Similarly the number of permutations is given by

$\displaystyle P(n,m)=\frac{n!}{(n-m)!}$

(a) I have n=21 songs to pick from and I want to choose m=8 of them where the order matters, so it's a permutation:

$\displaystyle P(21,8)=\frac{21!}{(13)!}=\frac{51,090,942,171,709,440,000}{6,227,020,800}=8,204,716,800$

I can make more than 8 billion different setlists

(b) To choose m=4 songs from n=21 songs where the order does not matter, we compute the combination

$\displaystyle C(21,4)=\frac{21!}{4!(17)!}=\frac{21\cdot 20\cdot 19\cdot 18\cdot 17!}{4\cdot 3\cdot 2\cdot 1(17)!}$

$\displaystyle C(21,4)=\frac{143,640}{24}=5,985$

I can make almost 6,000 sets of 4 songs

5 0

3 years ago