1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
32x2 – 24x = 0<br> What’s the answer to this?
Vlad [161]

Answer:

x=0      x = 3/4

Step-by-step explanation:

32x^2 – 24x = 0

Factor out 8x

8x(4x -3)

Using the zero product property

8x = 0   4x-3 =0

x=0       4x=3

x=0      x = 3/4

3 0
3 years ago
Y and x have a proportional relationship, and y = 25 when x = 60. What is the value of x when y = 30?
dezoksy [38]
The equation governiong this relationship is y = kx.  Since y = 25 when x = 60,
25 = 60k, and k=(5/12).  Thus, the equation is   y = (5/12)x.

If y = 30, then 30 = (5/12)x.  Mult. both sides by 12/5 to obtain the value of x:

(12/5)(30) = 360/5 = 72
3 0
3 years ago
The measure of each angles
Aleks [24]
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
4 0
3 years ago
ASAP<br> 7x+42=0<br> Options <br> x= 6<br> X= -6
lutik1710 [3]
The answer is 6x. You divide 42 by 7. Take out the x. 42 divided by 7 will equal 6.
6 0
2 years ago
An election ballot asks voters to select three city commissioners from a group of six candidates, in how many ways can this be d
slava [35]
20 possibilities based on this as a combination not a permutation, 6 nCr 3 = 20
6 0
3 years ago
Other questions:
  • A parka that sold for 65 dollars is marked up to 70.20 what is the percent of markup
    12·2 answers
  • Please help asap 25 pts
    6·2 answers
  • The circumference of a circle is 6.28. What is the area of the circle?
    13·1 answer
  • Tn+1=35-2Tn, T1=5 what is T20?
    10·1 answer
  • The athletic department at Hornell High School would like to determine the average height of the 1200 male students at the schoo
    11·1 answer
  • The first day of Alex's trip was a Monday. What day of the week was Day 393939 of Alex's trip? Select the correct answer. Day 39
    12·1 answer
  • Clark and Phil are each running to raise money. The amount of money (y), in dollars, they each raise is based on the distance (x
    14·1 answer
  • Mrs. McDonnell is making 25 paper cones to fill with popcorn for her daughter's birthday party. 4 inches 7 inches Find the volum
    12·1 answer
  • A store sold 185 bicycles last month. This month they have sold only 111 bicycles. What is the percent change in number of bicyc
    5·2 answers
  • The Fernandez family has a square driveway with an area of 210.25 m2. Find the perimeter of the driveway. Round your answer to t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!