Answer:
The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Step-by-step explanation:
Given : Equation 3x − 7 = 4 + 6 + 4x
We have to find the number of solutions of the given equation.
Consider the given equation 3x − 7 = 4 + 6 + 4x
Simplify, we have,
3x − 7 = 10 + 4x
Now subtract 3x both side, we hvae,
-7 = 10 + 4x - 3x
Simplify, we have,
- 7 = 10 + x
Subtract 10 both side, we have,
-7 - 10 = x
x = - 17
Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.
The answer:93.75
I think recommend calculators online I’m sure I’m a little off
= 4.95 X .65 = 3.2175 ( 3.22).
4.95 = 100% of the price
100 less 35 = 65
4.95 X .65% = 3.2175 or 3.22
Answer: 30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________
Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as: A = ( b₁ + b₂) h / 2 ;
___________________________________
in which: A = area;
b₁ = length of "base 1" (choose either one of the 2 (two bases);
b₂ = length of "base 2" (use the base that is remaining);
h = height of trapezoid;
____________________________________________
From the information given:
___________________________
A = 100 m² ;
h = 5 m
b₁ = 10 m
b₂ = x
___________________________
Find "x", which is: "b₂" ;
__________________________
A = ( b₁ + b₂) h / 2 ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
100 m² = [(10m + x) (5m)] / 2 ; Solve for "x" ;
_________________________________________________________
(10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
(5m) (10m + x) = 200 m² ;
___________________________________________
Note: The distributive property of multiplication:
____________________________________________
a(b+c) = ab + ac ;
a(b−c) = ab <span>− ac ;
</span>____________________________________________
We have: (5m) (10m + x) = 200 m² ;
____________________________________________
So: (5m) (10m + x) = (5m*10m) + (5m * x) ;
= 50m² + (5m)x ;
_______________________________________________
→ 50m² + (5m)x = 200m² ;
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
→ { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
→ 10m + x = 40m ;
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
→ 10m + x − 10m = 40m − 10m ;
to get:
→ x = 30 m ; which is our answer.
___________________________________________________
Answer: 30 m ; (or, write as: "30 meters") .
_____________________________________________________
Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.
The <u>base</u> is the bottom, which is a <u>square</u>.
To calculate the <u>area of the base</u>, use the formula for area of a square.
To calculate the <u>area of a lateral face</u>, find the area of a triangle.
In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.
