Number of grams of cereal A = a
Number of grams of cereal B = b
One gram of Cereal A has: 6 mg of sodium and 7 calories
One gram of Cereal A has: 8 mg of sodium and 5 calories
We need to make sure that the cereal contains maximum 200 mg sodium
⇒ Number of grams of cereal A × Sodium quantity in a gram of cereal A + Number of grams of cereal B × Sodium quantity in a gram of cereal B <= 200 mg
Substituting the required values
⇒ a×6 + b×8 <=200
Further simplifying the above equation
⇒ a×3 + b×4 <=100
Further, we need to make sure that the cereal contains maximum 150 calories
⇒ Number of grams of cereal A × Calories in a gram of cereal A + Number of grams of cereal B × Calories in a gram of cereal B <= 150
⇒ a×7 + b×5 <=150
Hence, the system of inequalities that represents the possible mix is:
a×3 + b×4 <=100 AND a×7 + b×5 <=150
Answer:
-1 17/25
Solution with Steps
−65−1225=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-6/5, 12/25) = 25
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−65×55)−(1225×11)=?
Complete the multiplication and the equation becomes
−3025−1225=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−30−1225=−4225
This fraction cannot be reduced.
The fraction
−4225
is the same as
−42÷25
Convert to a mixed number using
long division for -42 ÷ 25 = -1R17, so
−4225=−11725
Therefore:
−65−1225=−11725
base 16y^2
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
The difference between liters and milliliters is three decimal places so either move the decimal over three places and put in two zeros in the empty places or just multiply 7.5 by 1,000 (three zeros = 1 for each decimal place you need to move the decimal). 7.5 liters of water = 7,500 milliliters of water.
