Answer:
Step-by-step explanation:
An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
Answer:
7.94 x 10⁸miles
Step-by-step explanation:
Given parameters:
Distance of earth from sun = 9.3 x 10⁷miles
Distance of earth from Saturn = 8.87 x 10⁸miles
Unknown:
How much further from the sun is Saturn than Earth = ?
Solution:
To find the solution to this problem, let us find the difference between their distances:
( 8.87 x 10⁸ miles - 9.3 x 10⁷ miles )
= 88.7 x 10⁷ miles - 9.3 x 10⁷ miles
= (88.7 - 9.3) x 10⁷miles
= 79.4 x 10⁷miles
= 7.94 x 10⁸miles
