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barxatty [35]
3 years ago
8

Oil that costs 22.50/barrel is mixed with oil that costs 35.00/barrel. How many barrels of each oil should be included in 1250 b

arrels of mixture that sells for 27.50/barrel?
Mathematics
1 answer:
timama [110]3 years ago
4 0
So 22.5 per barrel



so 22.5
x represents the number of 22.5 barrels

y represents the number of 35 barrels

so
x+y=1250

then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost

22.5x+35y=34375

we have 2 senctances
x+y=1250
22.5x+35y=34375

elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375    +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750


subsitute
x+y=1250
750+y=1250
subtract 750
y=500


750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included

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Answer:

y = -5/3 - 8

Step-by-step explanation:

We want to write this in the form y = mx + b.  We need to find the m (slope) and the b (y-intercept) ,  Whew, they already gave us the slope, so we are have way there.  I will plug in the x and y that we are given from the point (-6, 8) to solve for b.

y = mx + b

8 = -5/3(-6) + b  Multiply the fraction by -6

8 = 30/3 + b  I can make 6 a fraction by writing it 6/1 and then just multiply straight across.  A negative times a negative is a positive.

8 = 10 + b   30/3 is equal to 10.  Now subtract 10 from both sides to get b

-8 = b

I can now write the equations since I now know m and b.

y = -5/3 + (-8) which is the same as y = -5/3 - 8.  Adding a negative is the same as subtracting a positive.

7 0
1 year ago
Which number of spins would most likely result in a relative frequency that is closest to the theoretical probability?
azamat

Answer:

The answer is four since the probability is 1/4 in fraction form

Step-by-step explanation:

hope this helps!

8 0
2 years ago
Jayden’s new puppy weighed 11 1/4 pounds at 4 weeks old. At 16 weeks old, the puppy weighed 1 2/3 times more.
musickatia [10]

Answer:

18.75 or 18 3/4 lbs

Step-by-step explanation:

We just have to multiply 11 1/4 and 1 2/3 to get the product, 18.75 or 18 3/4.

First we have to translate our fractions into decimals:

11.25 (11 1/4) and 1.166667 (1 2/3)

multiply:

11.25 x 1.166667 = 18.75

convert back to fraction:

18 3/4

Hope This helps! Good Luck! If you have any questions please ask me, I would me more than happy to help you understand this method. If you are doing it a different way, I can help with that too.

5 0
3 years ago
:)no characters needed just :)
mojhsa [17]

:)  :)  :)  :)  :)         :)  :)  :)  :)  :)

    :)  :)  :)                :)  :)  :)

         :)                     :)

            :)  :)  :)  :)  :)

5 0
2 years ago
How many non-square numbers lie between the 215to the power of 2 and 216 to the power of 2
Vaselesa [24]

There are 430 non square numbers that lie between 215^{2} and 216^{2}.

Given two numbers 215^{2} and 216^{2} and we are require to find non square numbers that lie between them.

Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.

Square numbers are those numbers whos square is in a proper number means decimal should not be there.

First number=215^{2}

Second number=216^{2}

First we have to find the exact value of numbers by finding the square of these numbers.

First number=215*215=46225

Second number=216*216=46656

Numbers that  lie between them=(46656-46225)-1

=431-1

=430

Hence 430 numbers lie between 215^{2} and 216^{2}.

Learn more about product at brainly.com/question/10873737

#SPJ4

7 0
2 years ago
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