Answer:
y=-x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-1))/(3-(-4))
m=(-8+1)/(3+4)
m=-7/7
m=-1
y-y1=m(x-x1)
y-(-1)=-1(x-(-4))
y+1=-1(x+4)
y+1=-x-4
y=-x-4-1
y=-x-5
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Answer:
60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Answer:
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Step-by-step explanation:
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Answer:
7/15 for dime
6/15 for pennies
Step-by-step explanation:
7/15 because 7+2+6=15 and there are 7 dimes so 7/15.
6/15 because there are 15 coins and there are 6 pennies so 6/15.
15 is the total so 7 and 6 have to go over it.
