A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25. The price of a hot dog is $1.25 more than the price of a bag of potato chips. The cost of a soft drink is $2.75 less than the price of two hot dogs. Find the cost of each item

Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:

5x + 4y + 5z = 15.75

x = y + 0.75

z = 2x - 1

Let's substitute the 3rd equation into the first one.  

5x + 4y + 5(2x - 1) = 15.75

5x + 4y+ 10x - 5 = 15.75

15x + 4y = 20.75

Now, let's re-write the 2nd equation as x - y = 0.75

We now have a system of two equations with two unknowns.

15x + 4y = 20.75

x - y = 0.75

To solve this, we can multiply the bottom equation by 4 and add.

15x + 4y = 20.75

+ 4(x - y = 0.75)

19x = 23.75

or x = 1.25

If x = 1.25, then using the one of the equations above, we can solve for y.

x - y = 1.25 - y = 0.75

.50 = y

Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50

So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.

1.true 2.false? ? i think. .

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !