Given:
5) The expressions are
[tex]16x+24y+32[/tex]
[tex]8(2x+3y+4)[/tex]
[tex]4(4x+24y+8)[/tex]
7) The expression is
[tex]7(3-x)+15x[/tex]
To find:
5) Whether the given expressions are equivalent.
7) simplified form of given expression.
Solution:
5)
First expression is
[tex]16x+24y+32[/tex]
Second expression is
[tex]8(2x+3y+4)[/tex]
[tex]=8(2x)+8(3y)+8(4)[/tex]
[tex]=16x+24y+32[/tex]
Third expression is
[tex]4(4x+24y+8)[/tex]
[tex]=4(4x)+4(24y)+4(8)[/tex]
[tex]=16x+96y+32[/tex]
Therefore, the simplified forms of given expressions are [tex]16x+24y+32,\ 16x+24y+32,\ 16x+96y+32[/tex] respectively. It means only first and second expressions and equivalent.
7)
We have,
[tex]7(3-x)+15x[/tex]
[tex]=7(3)+7(-x)+15x[/tex]
[tex]=21-7x+15x[/tex]
[tex]=21+8x[/tex]
Therefore, the simplified form of given expression is [tex]21+8x[/tex].
Given:
5) The expressions are
7) The expression is
To find:
5) Whether the given expressions are equivalent.
7) simplified form of given expression.
Solution:
5)
First expression is
Second expression is
Third expression is
Therefore, the simplified forms of given expressions are respectively. It means only first and second expressions and equivalent.
7)
We have,
Therefore, the simplified form of given expression is .
A fertilizer covers 6 square feet in 2 hours. What is the unit rate?
Find the surface area of the figure below. Each cube measures 1 inch.
Select the best answer from the choices provided.
OA. 52 in2
OB. 33 in?
OC. 24 in?
OD. 58 in2
3. What is the sum of the interior angles of a polygon with 32 sides?
Answer:
Step-by-step explanation:
To find the sum of an interior angle of a polygon, you have to follow these steps:
Interior angle= ( n - 2 ) ×180° all over n
So interior = ( 32 - 2 ) × 180° all over 32
Interior = 30 × 180 all over 32
Therefore your interior angle should be 168.75°
Help me pleasee. Solve the system by substitution
Answer:
(3, - 2 )
Step-by-step explanation:
Given the 2 equations
4x - 2y = 16 → (1)
y = - 5x + 13 → (2)
Substitute y = - 5x + 13 into (1)
4x - 2(- 5x + 13) = 16 ← distribute and simplify left side
4x + 10x - 26 = 16
14x - 26 = 16 ( add 26 to both sides )
14x = 42 ( divide both sides by 14 )
x = 3
Substitute x = 3 into (2) for corresponding value of y
y = - 5(3) + 13 = - 15 + 13 = - 2
solution is (3, - 2 )