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:
D = 12.94 m
Step-by-step explanation:
Coordinates of first tree = A(0,8)
Coordinates of second tree = A(12,4)
We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :
We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4
Now using distance formula,
So, the distance between the two trees is 12.64 m.
6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars
Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.
I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
Answer: Exactly square root 58 inches
Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,
AC^2 = 7^2 + 3^2
AC^2 = 49 + 9
AC^2 = 58
Add the square root sign to both sides of the equation
AC = square root 58 inches
