Answer:
Step-by-step explanation:
Let's make a system of equations.
First, define the variables.
Let s= small cups and g= large cups
Next, make 2 equations. 1 for the money and 1 for the number of cups.
<u>Money</u>
- A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265.
- 1.25s+2.50g=265
<u>Number</u>
- A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155.
- s+g=155
Here is our system of equations:
Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.
- Subtract g from both sides of the equation.
- s+g=155
- s+g-g=155-g
- s=155-g
Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.
Distribute the 1.25
- 1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g
Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.
(Subtract 193.75)
(Combine like terms).
1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25
Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.
Subtract 57 from both sides of the equation to isolate the variable, s.
Ashley sold 57 large cups and 98 small cups.
Answer:
Solving the inequality 
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:
So, solving the inequality we get
The graph of the inequality is shown in figure attached.
First you add250+250 then you add 9+9 or you could do250×9 2 times then add them together . never mind just do 250×9 2times and that will eqaul 2,250 then add 2250+ 2250and you got the answer and the answer is 4500
The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
#SPJ1
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
