What is the slope of this line? 6 10
1 answer:
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Answer:
the length of the rectangle is, 21 in.
Step-by-step explanation:
Area of the rectangle(A) is given by:
.....[1]
where,
l is the length of the rectangle
w is the width of the rectangle.
As per the statement:
The width of a rectangle is 9 in. shorter than its length.
⇒
It is also given that:
The area of the rectangle is 252 in².
⇒A = 252 in².
Substitute in [1] we have;
⇒
⇒
Factorize this equation:
Split the middle term;
⇒
⇒
⇒
By zero product property we have;
and
⇒ and
Since, length cannot be in negative
⇒
Therefore, the length of the rectangle is, 21 inches.
Answer:
c) 9 hours of babysitting and 6 hours in ice cream shop.
10 hours of babysitting and 5 hours in ice cream shop.
Step-by-step explanation:
We are given the following in the question:
Earning from babysitting = $12 an hour
Earning from ice-cream shop = $10 an hour
Let x be number of hours for babysitting in a week and y be the number of hours working in ice cream shop in a week
a) Bailey is only allowed to work a maximum 16 hours a week. Thus, the sum of hours in a week together from ice cream shop and babysitting should be less than equal to 16. Thus, the inequality to represent the number of hours Bailey can work can be written as
b) Bailey wants to make at least $100 a week. Thus, the sum of total earning from ice cream shop and babysitting should be greater than 100 dollars. Thus, the inequality to represent the total earning of Bailey can be written as
c) The attached image shows the graph for the two inequalities.
The black region shows the solution to inequality to represent the number of hours and red region represents the solution to inequality for the total earning of Bailey.
c) The common shaded region gives the solution to both the inequalities.
Any two possible combination for the possible combinations of hours Bailey could work from graph are:
(9,6), (10,5)
9 hours of babysitting and 6 hours in ice cream shop.
10 hours of babysitting and 5 hours in ice cream shop.
