Answer:
1) Inequality: 110x>150+85x
2) Solution: x>6, then Nadia would need to sell more than 6 ads per week in order for Choice A to be the better choice,
<u>Solution:</u>
Be x the number of ads Nadia sells
A) Choice A: $110 for each ad she sells. She would earn:
Ea=110x
B) Choice B: A weekly salary of $150, plus $85 for each ad she sells. She would earn:
Eb=150+85x
1) Write an inequality to determine the number of ads Nadia would need to seel per week in order for Choice A to be the better choice:
Ea>Eb
110x>150+85x
2) Solution
Solving for x: Subtracting 85x both sides of the equation:
110x-85x>150+85x-85x
Subtracting:
25x>150
Dividing both sides of the equation by 25:
25x/25>150/25
Dividing:
x>6
Answer:
Equation of a line has form of y = ax + b
This line passes (-8, 8) and (1, 10), then:
-8 = -8 x a + b
10 = a + b
Subtract 2nd equation to 1st equation, then:
18 = 9 x a
=> a = 2
=> b = 10 - 2 = 8
=> y = 2x + 8
Hope this helps!
:)
1246
Hope this helps, have a great day
Answer:
72.50/100 X 80 = 58
total cost with mark down $58
The width used for the car spaces are taken as a multiples of the width of
the compact car spaces.
Correct response:
- The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>
Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.
We have;
Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)
New space design = 16·x + 9×(a·x) = x·(16 + 9·a)
When the dimensions of the initial and new arrangement are equal, we have;
10 + 12·a = 16 + 9·a
12·a - 9·a = 16 - 10 = 6
3·a = 6
a = 6 ÷ 3 = 2
a = 2
Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;
10 + 12·a < 16 + 9·a
Which gives;
x·(10 + 12·a) < x·(16 + 9·a)
Therefore;
The initial total car park space is less than the space required for 16
compact spaces and 9 full size spaces, therefore; the store owners are
incorrect.
Learn more about writing expressions here:
brainly.com/question/551090
