Answer:Please see answer in explanation column
Step-by-step explanation:
A
The sum of a number and 7 is not more than 10
Given answer: x + 7 < 10 , This is false
Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality is written as
x + 7 ≤ 10
B
The product of a number and 4 is at least 20
Given answer: 4X > 20 ---- False
Reason :At least 20 means at no less than 20 " or " greater than or equal to 20 therefore the correct inequality is written as
4X ≥ 20
C
The difference between a 15 and a number is at most 12
Given answer: 15-x>12----False
Reason :At most 12 means " no more than 12 , " " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality is written as
15-x ≤ 12
D
The quotient of a number and 8 is greater than or equal to
Given answer 8x <3 --False
Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is 8x ≥ 3
Answer:
Step-by-step explanation:
Let M = total amount of money earned
M = 12x+8y
To make more than $190, the equation is:
190<12x+8y
Since Trevor is going to scoop ice cream for 20 hours, the equation is:
190<12x+8(20), which simplifies to 190<12x+160.
Isolate x to find the amount of hours that Trevor needs to tutor.
190-160<12x
30<12x
30/12<x
2.5<x
Trevor must tutor for more than 2.5 hours to make more than $190.
Answer:
Frank can put 5 cubes in the box.
Step-by-step explanation:
Formula:
Mass = Volume × density.
1 cubic centimetre = 0.001 liter= 1 millilitre
Given that,
Frank purchase a new ice box having 2 kg capacity.
So,the mass of the cubes is 2 kg.
Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.
The volume of a cube is = 
The volume of a each ice cubes is =
cm³
= 42.875 ml
The ice cubes have a density of 0.914 g/ml
The mass of each cubes are
=volume of each ice cubes × density
=42.875 ml ×0.914 g/ml
=39.18775 gram.
Let x number of ice cubes he can put in the box.
The mass of x cubes is = 39.18775x grams.
2 kg= 2,000 gram [ since 1 kg= 1000 gram]
According to the problem,
39.18775x=2,000
Frank can put 5 cubes in the box.
