One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture?
Answers
0.5 gal (add'l) = (2/3) parts fuel & (1/3) parts antifreeze = total of 3 parts
adding the two
Fuel: 1gal*(5/6 parts) + 0.5gal*(2/3 parts) = 7/6 parts in 1.5 total gallons
Antifreeze: 1gal*(1/6 parts) + 0.5gal*(1/3 parts) = 2/6 parts in 1.5 total gallons
thus with a common denominator provides a ratio of 7:2 (fuel:antifreeze)
Related Questions
The inequality 3(x + 2) > 4(x – 3) is equivalent to which of the following inequalities?F. x < –6 G. x < 5 H. x < 9 J. x < 14 K. x < 18 Can anyone explain me how to make this one step by step?
TRUE OR FALSE: −3 is a solution for the compound inequality b ≤ 4 and b > −1.
The product of 6 and a number is 24 What is the number
1/2 = m - 1/8m=_____
Answers
Answer:
396
Step-by-step explanation:
Answers
Answer:
x^2y^4.
Step-by-step explanation:
y^2x^3y^2
= x^2y^2y^2
= x^2y^(2+2)
= x^2y^4.
Answers
There are total of pet fish and reptiles in the United States.
Define the term expression?
Calculations that include changeable altering multipliers, joining, removal, and random subdivision must be done. They could accomplish the following if they united: An algorithm, some data, and a mathematical problem.
To find the total number of pet fish and reptiles in the United States, we simply need to add the number of pet fish and pet reptiles together:
Total =
To add these numbers together, we need to express them using the same power of 10. We can do this by rewriting 9.4 * 10^6 as 0.94 * 10^7:
Total =
Now, we can add the numbers together:
Total =
= (since
)
=
Therefore, there are a total of pet fish and reptiles in the United States.
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Therefore , the solution of the given problem of expressions comes out to be the total number of pet fish and reptiles in the US is roughly
1.494 * 10⁸.
What precisely is an expression?
It is necessary to perform calculations which it involve joining, removal, and random subdivision variable changing multipliers. If they banded together, they could do the following: A mathematical challenge, some information, and an algorithm. A statement of equation truth contains formulas, elements, and arithmetic procedures like additions, subtractions, errors, and groupings. It is possible to assess and analyse words and phrases.
Here,
The number of fish and reptiles kept as pets must be added to the overall number of pets:
=> 1.4 * 10⁸ + 9.4 * 10⁶
We must change these numbers to the same power of 10 in order to add them. Since 108 is equal to 100 million,
we can achieve this by moving the decimal point in the second figure two places to the right:
=> 1.4 * 10⁸ + 0.094 * 10⁸
We can now multiply the numbers:
=> 1.494 * 10⁸
Thus, the total number of pet fish and reptiles in the US is roughly
=> 1.494 * 10⁸.
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4a+5(a-1)
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4a + 5a - 5
9a - 5
Answers
Answer:
Your answer would be 18,000.
Step-by-step explanation:
You would need to multiply 300 by 12 to get 3,600. Then you would multilpy that by 5 to get your answer.
Answers
Final answer:
The degree of a polynomial is determined by the highest exponent in the terms of the polynomial. The polynomial 8r3 + 7r5 + 2r has a degree of 5, which is the exponent of the highest-degree term, 7r5.
Explanation:
In Mathematics, when dealing with a polynomial, the degree of the polynomial refers to the highest power of the variable in the polynomial. For the given polynomial, 8r3 + 7r5 + 2r, we can see that the degrees of each term are 3, 5, and 1 respectively. The term with the highest degree is 7r5 which has a degree of 5. Therefore, we can conclude that the degree of the given polynomial is 5.
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