Answer:
Option number B
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
Given the equation as:
7h - 5 ( 3h -8 ) = -72
Using distributive property,
a ⋅ ( b + c ) = a ⋅ b + a ⋅ c
7h - 15h + 40 = - 72
Combine like terms;
-8h + 40 = -72
Subtract 40 from both sides we have;
-8h 8= -112
Divide both sides by -8 we have;
h = 14 hours
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
Answer:
x = 
Step-by-step explanation:
Given
x - 2 
= 
( change mixed number to improper fraction )
x - 
=
Multiply through by 36 ( the LCM of 4 and 18 ) to clear the fractions
36x - 81 = 2 ( add 81 to both sides )
36x = 83 ( divide both sides by 36 )
x =
Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.
Answer:
Step-by-step explanation:
As the angles are supplementary, they sum up to 180
Hence, 3x+40+80=180
3x+120=180
3x=60
x=20
