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2 years ago

In how many different ways can the sides of a triangle be named by the letters a, b, and c?

Mathematics

1 answer:

EleoNora [17]2 years ago

3 0

Answer:

Step-by-step explanation:

That is the number of permutations of 2 from 3

= 3P2

= 3!/(3-2(!

= 3*2

= 6.

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Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer p

Natalija [7]

Answer:

$40x+32y\leq 5,000\\x\geq 0, y\geq 0$

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

Seed Cost for x acre of corn = $40x
Seed Cost for y acre of soybeans = $32y

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

$40x+32y\leq 5,000\\x\geq 0, y\geq 0$

Next, we graph the inequality

$When$ x=0, y\leq156.25\\When$ y=0, x \leq 125$

The graph is attached below.

4 0

3 years ago

P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?

77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

They have two factors only 1 and itself
All the them are odd numbers except 2 is an even number
1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0

3 years ago

A coordinate grid is mapped onto a video game screen, with the origin at the lower left corner. The game designer programs a tur

Ad libitum [116K]

Answer: 0.8

Step-by-step explanation:

The slope of a line passing through point A(a,b) and B(c,d) is given by :-

$m=\dfrac{d-b}{c-a}$

Given : A coordinate grid is mapped onto a video game screen, with the origin at the lower left corner.

The game designer programs a turtle to move along a linear path that passes through the points (0, 0) and (10, 8).

Then , the slope of the line that represents the turtle's path is given by :-

$m=\dfrac{8-0}{10-0}=\dfrac{8}{10}=0.8$

Hence, the slope of the line that represents the turtle's path is 0.8 .

5 0

3 years ago

Read 2 more answers

Math questions, pls help me and ill reward <3 : )

EastWind [94]

Answer:

X = 6

Step-by-step explanation:

See Attachment

5 0

3 years ago

Amelia borrows $13450 for a round-the-world trip. Her repayments are $128 per week for 3 years. How much interest is she charged

ololo11 [35]

First we need to calculate the total payments by multiplying the payment per week times number of weeks in a year times 3 years
Total payments=128×52weeks×3years
=19,968

Subtract the amount borrowed from the total payments to get the interest charged
Interest charged
=19,968−13,450=6,518

Hope it helps!

3 0

2 years ago