X= sandwiches
y= bottles of water
QUANTITY EQUATION
x+y= 200
COST EQUATION
$3x + $0.75y= $318.75
STEP 1
solve for one variable in quantity equation and substitute in cost equation
x+y= 200
subtract y from both sides
x= 200-y
STEP 2
substitute 200-y in for x
$3x + $0.75y= $318.75
3(200-y) + 0.75y= 318.75
600 - 3y + 0.75y= 318.75
combine like terms
600 - 2.25y= 318.75
-2.25y= -281.25
divide both sides by -2.25
y= 125 number of water bottles
STEP 3
substitute y=125 in either equation
x+y= 200
x + 125= 200
x= 75 sandwiches
ANSWER: There were 75 sandwiches and 125 bottles of water.
Hope this helps! :)
Answer: 40:12:30
Step-by-step explanation:
To simplify this, look for a common divisible number, which is 25
Then divide all through by 25
1000/25:300/25:750/25
=40:12:30
I hope this helps
2x² + 4x - 16 = 0
2(x²) + 2(2x) - 2(8) = 0
<u>2(x² + 2x - 8)</u> = <u>0</u>
2 2
x² + 2x - 8 = 0
x = <u>-(2) ± √((2)² - 4(1)(-8))</u>
2(1)
x = <u>-2 ± √(4 + 32)</u>
2
x = <u>-2 ± √(36)
</u> 2<u>
</u> x = <u>-2 ± 6
</u> 2<u>
</u> x = -1 ± 3
x = -1 + 3 U x = -1 - 3
x = 2 x = -4
<u />
If you would like to know the height of the tree 10 years from now, you can calculate this using the following steps:
h ... the height of the tree 10 years from now
h = 30 feet + 5 feet = 35 feet
The correct result would be D. 35 feet.
Answer:
71 1/2 square feet
Step-by-step explanation:
We want to find the area of the wall that will be painted.
We need to find the area of the two windows and subtract it from the area of the wall.
Each window is 3 1 /2 ft by 4 1/2 ft. The area of each window is therefore:
A = L * B
A = 7/2 * 9/2 = = 63/4 square feet = 15 3/4 square feet
The two windows therefore have an area of:
2 * 63/4 = 63/2 = 31 1/2 square feet.
The wall measures 12 7/8 ft by 8 ft. Therefore, the area of the wall is:
A = 103/8 * 8 = 103 square feet
The area of the wall that will be painted is therefore:
A = 103 - 31 1/2 = 71 1/2 square feet
