Answer: Choice B
rose bush: $10, shrub: $4
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Work Shown:
x = cost for one rose bush
y = cost for one shrub
Rob's equation: 8x+5y = 100
Amy's equation: 8x+8y = 112
Subtract the equations straight down (match terms)
8x - 8x = 0x = 0, x terms go away
5y-8y = -3y
100-112 = -12
After those three subtractions, we end up with this new equation: -3y = -12
That equation solves to y = 4 when you divide both sides by -3
Use this value of y to find x
8x+5y = 100
8x+5(4) = 100 ... replace y with 4
8x+20 = 100
8x+20-20 = 100-20 .... subtract 20 from both sides
8x = 80
8x/8 = 80/8 ... divide both sides by 8
x = 10
We end up with x = 10 and y = 4 pairing up. The two equations, when graphed, cross at the location (10,4). One rose bush costs $10 and one shrub costs $4.
From calculations, we can say that the given tiles will not fit together perfectly.
<h3>How to find the sum of interior angles of a Polygon?</h3>
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
Read more about Interior angles of a Polygon at; brainly.com/question/224658
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Answer:
40 gallons of milk
Step-by-step explanation:
trust me that's the answer
Answer:
The father is 59
Step-by-step explanation:
lets say each of the kids are twelve
30*5=150-36=114=59+55
30*5+ 150 the age of everyone in the family added together
12*3= 36 the age of all the kids
150-36=114 the age of the adults added together
we know the mother is 4 years younger than the father so to state off you can take 114 and divide it by two to get what half of it is then take take numbers that are four apart to find the ages that add up to 114.
