So... we have two numbers
say "a" and "b"
one is larger than the other, let us say, "b" is larger than "a"
by how much?
well, "<span>eight more than three times"
three times the smaller is 3 * a, or 3a
eight more than that is 3a + 8
so b = 3a+ 8
the sum of both of them is 52
so, we know that
a + b = 52
run a substitution on "b" on the 2nd equation, and solve for "a"
once you find "a", plug it back in the 2nd equation, to get "b"
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Take the total cost of the meal ($32.92) and multiply it by 5% (.05)
once you multiply those together you get how much tax is which is $1.65 (rounded up from 1.646)
now add that to your total and you get $34.57.
Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
Answer:
40%
Step-by-step explanation:
The probability of the arrow landing on the green section is a 40% chance
This is because there are only 3 sections where one is 50 and the other is 10
To find the green we can create an equation, where x = green section
50 + 10 + x = 100
The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise
60 + x = 100
x = 100 - 60
x = 40