A recipe calls for 3 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?

As your sixteenth birthday approaches you are looking for ways to make money so you can buy a used car. Currently, you earn $10

Eduardwww [97]

A. Personally if i was given these 2 options i would take the choice of drawing 2 bills from the bag per week.

B. Yes, i do not think pulling 2 bills from the bag is a good way to make money.

A. You could either get 10$ per week or you could get, 2$ 6$ 6$ 10$ 11$ 11$ 15$ 15$ now this depends largely on luck but logically 5 out of 9 times you will get 10 dollars or more so there is a higher chance you get more money from drawing money.

B. It is a good way to make money because 2/9ths of the time you will get 15$ and for every time you get 6$ you will get an equal amount of 15$ and you will get 21$ in the 2 weeks so it adds up, if you have bad luck or do this for a short amount of time then you could be losing out but if you have an average amount of luck then it will be worth the chance.

8 0

3 years ago

There are some goats, cows, and sheep on a farm. 2/5 of the animals were goats. There are 3 times as many sheep as cows. If ther

svetlana [45]

Answer:

180

Step-by-step explanation:

First thing to do is to get all the animals in terms of cows, since that is our main unknown. All the other animals' numbers are based on cows. So let's call cows "x". Then sheep is 3 times the number of cows, so sheep is 3x. The number of goats is 45 more than the number of cows, so goats is x + 45. Let's say, for the sake of ease, that the number of animals is "a".

Here's what we have so far:

# of animals: a

# of cows: x

# of sheep: 3x

# of goats: x + 45

We are told that 2/5 of the animals are goats. In an equation, that is:

2/5 (animals) = goats, where the word "of" means to multiply, and the word "are" is the equals sign. Filling in from our key above:

$\frac{2}{5}a=x+45$

That says that 2/5 of the animals are goats when goats is x + 45.

If 2/5 of the animals are goats, then 3/5 of the animals have to be cows and sheep. In an algebraic equation:

$\frac{3}{5}a=x + 3x$ .

Let's go back to the first equation and get rid of the fraction by multiplying everything by 5. When we do that we get

2a = 5(x + 45) so

2a = 5x + 225

Now let's get rid of the fraction in the second equation by multiplying everything by 5. When we do that we get

3a = 5(x + 3x) or

3a = 5(4x) so

3a = 20x. Solve that equation for a.

$a=\frac{20}{3}x$

Now that we have a in terms of x, we can sub that value in for a in the first equation to solve for x, the number of cows:

$2(\frac{20}{3}x)=5x+225$ and, simplifying:

$\frac{40}{3}x=5x+225$ and

$\frac{40}{3}x-5x=225$ . Get rid of the fraction here by multiplying everything by 3:

40x - 15x = 675 and

25x = 675 so

x = 27

That means that there are 27 cows.

Sheep is 3 times that, so there are 81 sheep.

Goats is 45 more than that, so there are 72 goats.

The total number of animals then is 27 + 81 + 72 which is 180. Let's check that to see if the number of goats, 72, is 2/5 of 180.

$\frac{2}{5}(180) = 72$

So we got it! Yay! That was hard!!

7 0

3 years ago

A 12-yard-long pipe is cut into three equal sections. Two of the resulting sections are cut in half, and one of the halves is cu

valentinak56 [21]

Answer:

14ft

Step-by-step explanation:

12 yard pipe equals 36ft. Divided equally 3 times gives 3 pipes at 12ft per pipe. 2 of those are divided in half, making 4 6ft pipes. 1 of the 6ft pipes is cut into 3 2ft pipes. you now have 3 pipes at 2ft, 3 pipes at 6ft and 1 pipe at 12ft. the longest 2 pieces are 12ft and 6ft making 18ft. 2 shoetest pieces equal 4ft. 18ft minus 4ft equals 14ft.

3 0

2 years ago

Help Please I need help with everything shown on this page

evablogger [386]

This question is all about dimensional analysis. The whole idea behind dimensional analysis is that you multiply a starting value with different conversion factors to cancel out units you don't want to tern the value into the units that you do want. The conversion for yards to feet can be written as 3 feet/yard (this is the conversion factor it can be written as 3feet/1yard or 1yard/3feet, it depends on what you are starting with). If you start out with yards and and want to go to feet you have to multiply the number of yards by 3feet/yard so that the yards cancel out leaving you with feet. If start out with feet and want to go to yards you divide the number of feet by 3feet/yard so that the feet cancel out and you are left with yards.

In your question Tom is trying to go from feet to yards. Therefore he has to divide the number of feet by 3feet/yard to get feet to cancel out. His mistake was that he multiplied by 3feet/yard instead of divide by 3feet/yard. The correct way do it is divide 379 feet by 3feet/yard to get 126.33 yards.

Let me know if anything is unclear to you in the comments. This is a very important skill to learn since this is the basis of many high school and college science classes.
I hope this helps.

7 0

4 years ago

Determine whether or not the triangles below or similar

Anastaziya [24]

Answer:

i think it is D

Step-by-step explanation:

i hope this helped!

p.s it would be cool if you gave me brainliest.

3 0

3 years ago