Answer:
D
Step-by-step explanation:
we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.
area of base=1/2×6×8=24 mi²
volume=base area ×height
=24×8
=192 mi³
It is given that
a+b=20 -------------------- (1)
b+c=30 -----------------------(2)
We have to calculate
3 a + 4 b +7 c
Now multiplying equation(1 )by 3,we get
3 a+ 3 b=60 ----------------------------------(3)
and Multiplying equation( 2) by 4,we get
4 b + 4 c=120 -----------------------------------(4)
Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.
3 a+ 3 b+ 4 b+ 4 c=60+120
Adding like terms, we get
3 a+ 7 b+ 4 c =180, Which is the required solution.
<span>In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms, <span>3x2</span>, 2y, 7xy, and 5. Terms may consist of variables and coefficients, or constants.</span>
<span>Variables
In algebraic expressions, letters represent variables. These letters are actually numbers in disguise. In this expression, the variables are x and y. We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression.</span>
<span>Coefficients
Coefficients are the number part of the terms with variables. In <span>3x2 + 2y + 7xy + 5</span>, the coefficient of the first term is 3. The coefficient of the second term is 2, and the coefficient of the third term is 7.</span>
If a term consists of only variables, its coefficient is 1.
<span>Constants
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value. In the expression <span>7x2 + 3xy</span> + 8 the constant term is "8."</span>
<span>Real Numbers
In algebra, we work with the set of real numbers, which we can model using a number line.</span>
Answer:
1. 4x + 6
2. -15x + 11
5. -x + 4
6. -4x + 7
9. 5x - 2
12. x + 16
Step-by-step explanation:
Remove the parenthesis for each one so everything's out in the open. Next, you group like terms. The numbers with variables on one side, and the other numbers on the other side. For example:
x + 3x - 2 + 8
Then, you combine like terms:
4x + 6
That's mostly how you do each one.
Question 1: Option D
Area of the parallelogram = 132 cm²
Question 2: Option B
Area of the parallelogram = 3.60 ft²
Solution:
Question 1:
Base of the parallelogram = 6 + 5 = 11 cm
Height of the parallelogram = 12 cm
Area of the parallelogram = Base × Height
= 11 × 12
Area of the parallelogram = 132 cm²
Option D is the correct answer.
Question 2:
Base of the parallelogram = 1.9 + 0.5 = 2.4 ft
Height of the parallelogram = 1.5 ft
Area of the parallelogram = Base × Height
= 2.4 × 1.5
Area of the parallelogram = 3.60 ft²
Option B is the correct answer.
