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KiRa [710]
3 years ago
7

A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti

freeze. In order to obtain 90 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Let x = amount of 45% antifreezeLet y = amount of 70% antifreeze     EQUATION 1:   x + y = 150    (total of 150 gallons mixed)     EQUATION 2:  .45x + .75y = .55(x + y) Simplify and solve the system of equations     Multiply second equation by 100 on both sides to remove the decimals           45x + 75y = 55(x + y)     Combine like terms           45x + 75y = 55x + 55y           45x - 55x + 75y - 55y = 0             -10x + 20y = 0       Now we have the following system of equations:              x  +    y = 150        -10x + 20y =     0     Multiply the first equation by -10 to get opposite coefficients for x;  add the equations to eliminate x           10x + 10y = 1500         -10x + 20y =       0        ------------------------------                    30y = 1500      Solve for y            30y = 1500                y = 50      Since the total mixed gallons is 150, x = 150 - 50 = 100 So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze

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Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

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The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

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SAS(SIDE ANGLE SIDE)

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For the promotion, markup is 33.3% of the selling price.

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Using the graph, it is found that 976 passengers had carry-on luggage that weighed less than 20 lb.

<h3>Graph:</h3>

The graph is not given in this problem, but an internet search indicates that the information it contains is as follows:

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  • 222 passengers carry luggage between 5 lb and 9 lb.
  • 378 passengers carry luggage between 10 lb and 14 lb.
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Hence, the number of passengers with luggage below 20 lb is:

120 + 222 + 378 + 256 = 976

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A similar problem, also involving the use of graph, is given at brainly.com/question/25836450

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