Answer:
32
Step-by-step explanation:
5x - 3 = 4x + 4
x = 7
4(7) + 4 =
28 + 4 = 32
To solve this, you need to isolate/get the variable "n" by itself in the equation:
132 = 3(5n + 4) First divide 3 on both sides
44 = 5n + 4 Subtract 4 on both sides
44 - 4 = 5n + 4 - 4
40 = 5n Divide 5 on both sides to get "n" by itself
8 = n
PROOF
132 = 3(5n + 4) Substitute/plug in 8 into "n" since n = 8
132 = 3(5(8)+4)
132 = 3(40 + 4)
132 = 3(44)
132 = 132
Most of the information's that are required for solving the problem is already given in the question. So it is very important to read the question minutely before going for solving and getting to the desired answer.
Total number of eggs that Mary has = 216
Number of eggs that can fit in each carton = 12
Then
Number of cartons required to completely fill = 216/12
= 18
So 18 cartons are required by Mary to fill all the eggs that she has. I hope the procedure is simple enough for you to understand. You can always use this method for solving similar questions in future without requiring any kind of additional help from anybody.
<span>Polynomials can be classified two different ways - by the number of terms and by their degree.
1. Number of terms.
<span><span>A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.</span>
<span>A binomial has two terms. For example: <span>5x2</span> -4x</span>
<span>A trinomial has three terms. For example: <span>3y2</span>+5y-2</span>
<span>Any polynomial with four or more terms is just called a polynomial. For example: <span>2y5</span><span>+ 7y3</span><span>- 5y2</span>+9y-2</span></span>
Practice classifying these polynomials by the number of terms:
1. 5y
<span>2. 3x2-3x+1 </span>
3. 5y-10
4. 8xy
<span>5. 3x4+x2-5x+9 </span>
Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial
2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).
Examples:
<span><span>5x2-2x+1 The highest exponent is the 2 so this is a <span>2nd degree</span> trinomial.</span>
<span>3x4+4x2The highest exponent is the 4 so this is a <span>4th degree</span> binomial.</span>
<span>8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a <span>1st degree</span> binomial.</span>
<span>5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.</span>
<span>3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a <span>7th degree</span> monomial.</span></span>
Classify these polynomials by their degree.
<span>1.7x3+52+1</span>
<span>2.6y5+9y2-3y+8</span>
3.8x-4
<span>4.9x2y+3</span>
<span>5.12x2</span>
<span>Answers </span>1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree
</span>
(21.99 x 3) + (18.50 x 2) = 102.97