Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
<h3>What is Proportional relationships?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent.
Direct variation equation is a linear equation in two variables.
It is expressed as;
a ∝ b then a = kb
Where k is the proportionality constant.
Given the data in the question;
- Calories C = 380 calories
- Number of ounces N = 20 ounces
Since Calories C and Number of ounces N varies directly, we find their proportionality constant.
a ∝ b then a = kb
C = kN
380 calories = k × 20 ounces
k = 380 calories / 20 ounces
k = 19 calories/ounces
Now,we find C when N is 36 ounces.
C = kN
C = 19 calories/ounces × 36 ounces
C = 684 calories
Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
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Answer:
• Algebraic expression is formed from variables and constants using
different operations.
• Expressions are made up of terms.
• A term is the product of factors. Factors may be numerical as well as
algebraic (literal).
• Coefficient is the numerical factor in a term. Sometimes, any factor
in a term is called the coefficient of the remaining part of the term.
• The terms having the same algebraic factors are called like terms.
• The terms having different algebraic factors are called unlike terms.
• Expression with one term is called a 'Monomial’.
• Expression with two unlike terms is called a 'Binomial’.
• Expression with three unlike terms is called a 'Trinomial’.
• In general, an expression with one or more than one term (with non-
negative integral exponents of the variables) is called a ‘Polynomial’.
• The sum (or difference) of two like terms is a like term with coefficient
equal to the sum (or difference) of coefficients of the two like terms.
The sesame street tube bought by the blue bird costs $177.92 which contained one gallon of toothpaste.
Given,
cost of regular toothpaste = $1.39 for 2.7 ounce tube
But the bird took a tube of toothpaste that contained one gallon of toothpaste.
One gallon = 128 ounces
∴the total price at which the toothpaste is brought = price of normal toothpaste × one gallon(128 ounces)
= 1.39 × 128
=$177.92
Here we can observe that a gallon contains 128 ounces. so we need to multiply to the initial cost of the toothpaste to get the final amount of the toothpaste bought by the bird.
Hence the price at which the bird bought the toothpaste is $177.92
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Answer: 58
Step-by-step explanation: This is 58 because a triangle always equals 180 altogether so you take 180-65-57 and it is 58.
