Let's call x the price of a box of slime.
Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together. We have
392 ≤ 4(58) + 8x ≤ 472
We can work with both inequalities at once. 4(58)=232 so we subtract that from all three sides.
160 ≤ 8x ≤ 240
Divide all three sides by 8, a positive number so the inequalities don't flip.
20 ≤ x ≤ 30
Answer: Least: $20, Most: $30
Answer:
744/40=18.6
Step-by-step explanation:
the 1 in 18.6 is in the 10ths place
the 8 in 18.6 is in the ones place
the .6 in 18.6 is in the -ones place
Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
: is the charge of the proton = 1.6x10⁻¹⁹ C
: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
2. The gravitational force can be calculated as follows:
Where:
: is the electron's mass = 9.1x10⁻³¹ kg
: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
Answer:
x= -3
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.
