3x + 3y = 27
x - 3y = -11
----------------add
4x = 16
x = 16/4
x = 4
3x + 3y = 27
3(4) + 3y = 27
12 + 3y = 27
3y = 27 - 12
3y = 15
y = 15/3
y = 5
solution is (4,5)
<span>To do this, we have to setup equations and then use substitution to get like terms.
c=children, s=students, a=adults
For total cost: 5350 = 5c + 7s + 9a
Total capacity: 750 = c + s + a
Data given: (.5)(c + s) = a
Now, rearranging the data given equation for (c+s) gives us (c+s)= 2a. Using this and substituting into the total capacity equation for (c+s) will allow us to find a: 750 = 2a + a = 3a which gives us a = 750/3 = 250.
Next, we set a = 250 in total cost and data given equation to get the following:
Total Cost: 5350 = 5c + 7s + 2250 which gives 3100 = 5c + 7s
Total Capacity: 750 = c + s + 250 which gives 500 = c + s
Rearranging total capacity to solve for s: s = 500 - c
Plugging that expression for s into total cost gives us: 3100 = 5c + 7(500-c) = 5c - 7c + 3500.
Solving for c gives us 400 = 2c . Total number of children is c = 200.
Total number of students is s = 750 - 200 - 250 = 300.</span>
Answer:
Answer is A it looks like so |
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Step-by-step explanation:
Answer: d. savings
Step-by-step explanation:
First, what is an emergency?
Well, it depends on the situation, but suppose that you have a store where you sell edibles.
Some of these edibles may need to be stored in fridges, now suppose that one of the fridges breaks. That is an emergency, now you need to replace it the faster you can. In this point, you need to use savings specially prepared for situations like this.
So the correct option is d: savings.
1/6p - 4/5
Explanation: -2/3p needs to have the same denominator as 5/6p so they can combine. (Note, whatever sign is in front of a number determines if it is negative or positive. Your equation indicates that the bolded parts are negative and the other parts are positive: -2/3p + 1/5 - 1 + 5/6p. So what we are really doing in an equation like this is combining some numbers together)
-2/3p and 5/6p and the least common multiple of six, so we adjust the numbers to each have a denominator of 6. 5/6p is already there, so we need to adjust -2/3p.
We can multiply both the numerator and denominator by 2 to turn -2/3p into -4/6p. -4/6p has the same value as -2/3p, and now it also has the same denominator as 5/6p!
We then have to combine like terms, therefore combining -4/6p with 5/6p. When adding together fractions, the denominator does not change (this is why both numbers must have the same denominators). So our answer will be _/6p. So we combine -4 with 5, giving us one.
Therefore, -2/3p combined with 5/6p is 1/6p.
Now we have to combine our other set of like terms, 1/5 and -1. We can do this the same way that we combined the other numbers.
1/5 and -1 need the same denominator. This is simple because 1 can easily be figured out with any denominator, as long as the numerator and denominator are the same. This would make 1 = 5/5. But we need it negative, so it would be -5/5.
Now that we have common denominators, we can combine!
1/5 - 5/5
Remember what we said before, the solution will have the same denominator, so all we need to do is (in this case) subtract the numerators.
1 - 5 = 4
So that would be -4/5.
With the like terms combined, we just need to put our two combinations (1/6p and -4/5) together!
Our answer: 1/6p - 4/5
I hope that helps!
