By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
#SPJ1
Answer:
D,
Step-by-step explanation:
the volume of a sphere is 4/3πr^3
Answer:
70
Step-by-step explanation:
Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
