One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
Answer:
Solution → (3, -1)
Step-by-step explanation:
We ave to identify the graph representing the system of lines first.
y = 
Y-intercept of the line = -3
y = -2x + 5
y-intercept of the line = 5
From the given graphs 3rd (extreme right) graph is representing the system of equations.
Solution of the system of equations will be the point of intersection of these lines.
Solution of the system → (3, -1)
2x - 11
-9 + x
equate the equations
2x - 11 = -9 + x
bring like terms to one side
2x - 11 = -9 + x
- x +11 +11 - x
-11 and +11 cancels out
+x and -x cancels out
2x - x = 11 - 9
x = 2
When a polynomial has more than one variable, we need to look at each term. Terms are separated by + or - signs. Find the degree of each term by adding the exponents of each variable in it. <span>The degree of the polynomial is found by looking at the term with the highest exponent on its variables.
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Polynomials can be classified in two different ways - by the number of terms and by their degree.
A monomial is an expression with a single term. It is a real
number, a variable, or the product of real numbers and variables. A polynomial is a monomial or the sum or difference of monomials. A polynomial can be arranged in ascending order, in which the
degree of each term is at least as large as the degree of the
preceding term, or in descending order, in which the degree of
each term is no larger than the degree of the preceding term.
The polynomial

is classified as a 3rd degree binomial, because the monomial

has degree equal to 3 and the monomial 5xy has degree equal to 2. The highest degree is 3, therefore the polynomial

is classified as a 3rd degree polynomial. Since polynomial <span><span>

</span> has two terms, then it is classified as binomial.</span>