Answer:
A
Step-by-step explanation:
When you read the question it says that her average speed from the library to the gym is 15 mph less than her speed from her home to the library. So x - 15 is what describes that situation.
If it is A it cannot be anything else.
B is incorrect. x - 15 is not a time. It is a rate. It can be used to develop the amount of time, but by itself it is still A.
C is incorrect. Her average speed from her house to the library is x
D is incorrect. The distance is given as the same as from her home to the library as from the library to the gym. Both are 4
Answer:
28 quarters and 5 dimes
7(Q)+5(D)
7(4)+5(10)
28Q 50D Q=quarters D=dimes
it would be more efficient to do the substitution method bc its faster and easier
Answer:
1 / (x-2)(x+3)
Step-by-step explanation:
Given in the question the expression:
(x + 1) / (x² + x - 6) ÷ (x² + 5x + 4) / (x+4)
factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation
(x + 1) / (x-2)(x+3) ÷ (x² + 5x + 4) / (x+4)
Taking reciprocal to convert ÷ into ×
(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)
factorisation of (x² + 5x + 4) = (x+1)(x+4) by using quadratic equation
(x + 1) / (x-2)(x+3) x (x+4) / (x+1)(x+4)
cancel (x + 1) from both expression
1 / (x-2)(x+3) x (x+4) / (x+4)
cancel (x+4)
1 / (x-2)(x+3) Simplified form
Answer:
48.
or 
51.
or 
54.
or 
57.
or 
Step-by-step explanation:
48. 
-There are two equations:
Equation 1:

or
Equation 2:

Solving equation 1:




(Inequality sign changed, because of dividing by a negative number)
-Solving equation 2:




(Inequality sign changed, because of dividing by a negative number)
-Answers:
or 
51. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:



-Solving equation 2:



Answers:
or 
54. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:





-Solving equation 2:





-Answers:
or 
57. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:





Solving equation 2:





Answers:
or 
And we are finished.
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Answer:
Step-by-step explanation: 20