Dakota mixes two cereals for breakfast. One gram of Cereal A has 6 milligrams of sodium and 7 calories. One gram of Cereal B has 8 milligrams of sodium and 5 calories. She wants the bowl of
cereal to contain no more than 200 milligrams of sodium and 150 calories. Let a equal the number of
grams of Cereal A and b equal the number of grams of Cereal B, where a > 0 and b > 0. Which system
of inequalities represents the possible ways Dakota can mix the cereals?
6a + 76 < 200
8a + 5b < 150
6a + 8b< 200
7a+ 5b < 150
6a + 8b< 200
7a + 5b < 150
6a + 75<200
8a + 5b < 150
Done
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answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

“a term can be a signed number, a variable, or a constant multiplied by a + sign or j sign. in , the terms are 5x , 3y and 8. when a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.” i hope this you.