Answer:
16
Step-by-step explanation:
Given
4c + d and c = 5, d = - 4, then substitute values into the expression
= (4 × 5) + (- 4) = 20 - 4 = 16
Degrees Celsius = (Fahrenheit -32) * 5/9
Degrees Celsius = (-109.3 -32) * 5/9
Degrees Celsius = -141.3 * 5/9
Degrees Celsius = -78.5
Therefore dry ice must be kept at a temperature of < = -78.5 Celsius
Answer:
(a) P = 2x + 2r + 2πr
(b) x = ½(P - 2r - 2πr)
(c) x = 123 feet
Step-by-step explanation:
See Attachment for sketch of the track
Solving for (a): Perimeter of the track
This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.
P = Perimeter of Rectangle + Perimeter of 2 Semicircles
P = 2(x + r) + 2 * πr
[Where r is the radius of both semicircles]
Open bracket
P = 2x + 2r + 2πr
Solving for (b): Formula for x
P = 2x + 2r + 2πr
Make x the subject of formula
2x = P - 2r - 2πr
Divide both sides by 2
x = ½(P - 2r - 2πr)
Solving for (c): the value of x when r = 50 and P = 660
Substitute the given values in the formula in (b) above
x = ½(P - 2r - 2πr)
x = ½(660 - 2 * 50 - 2π * 50)
x = ½(660 - 100 - 100π)
x = ½(560 - 100π)
Take π as 3.14
x = ½(560 - 100 * 3.14)
x = ½(560 - 314)
x = ½ * 246
x = 123 feet
It is the third number line.
b-11=-8
What minus 11 would equal -8? 3!
8+3=11 so it would make sense that the dot would be on 3.
smaller numbers minus larger numbers (such as this equation) always end up being negative, so if you have the answer and at least one of the other numbers, it will be easy to figure out.
In this case you would want to maybe just imagine 11-8=? or go 8+?=11.
11-8=3 and 8+3=11. There you would have your missing number.