Answer:
<h2>
X = 4.5</h2>
Step-by-step explanation:
So we have two equations.
y=35x+40
y=40x+17.5
We want to find the coordinates in which they intersect.
BUT They never intersect, They are parallel to each other leaving us with a
NO SOLUTION
When you are trying to solve for x you want to get rid of the y's and simply put on your paper: 35x+40 = 40x+17.5
Then you distribute, in which I am not going to show because that too many steps lol. But you'll get:
x=4.5
Answer: 48 sq. cm
Step-by-step explanation:
The area of the similar shapes is similar.
We use scalar factor to get the area of the bigger or the smaller figure by using the area of the given figure.
In the given figure , Area of the small pentagon = 32 sq. cm
Scale factor for the bigger pentagon = 1.5
Then , the area of the bigger pentagon would be = (Scale factor) x (Area of the small pentagon)
= 1.5 x (32 sq. cm)
= 48 sq. cm
Hence, the area of the larger pentagon = 48 sq. cm
2x - 11 >_ 5
To solve for x, we need to get 2x by itself and then simplify.
Add 11 to both sides.
2x >_ 16
Divide both sides by 2 to get x.
x >_ 8 is your solution.
I hope this helps!
Answer:
<h2> 105 tickets</h2>
Step-by-step explanation:
To solve this problem we need to model an equation to represent the situation first.
the goal is to archive $7500 in the even, bearing in mind that there is a cost of $375 fee for rent, we need to put this amount into consideration
let the number of tickets be x
so
75x-375>=7500--------1
Equation 1 above is a good model for the equation
we can now solve for x to determine the number of tickets to be sold to archive the aim
75x-375>=7500--------1
75x>=7500+375
75x>=7875
divide both sides by 75 we have
x>=7875/75
x>=105 tickets
so they must sell a total of 105 tickets and above to meet the target of $7500 with the rent inclusive
Answer:
x = - 
Step-by-step explanation:
Given
(x - 9) = - 11
Multiply both sides by 3 to clear the fraction
2(x - 9) = - 33 ← distribute left side
2x - 18 = - 33 ( add 18 to both sides )
2x = - 15 ( divide both sides by 2 )
x = -
