Answer:
20) 2/32 so colour 2 boxes
21) 7/16
22) 2/60
23) 3/8
24) 35/63 or 5/9
25) 7/32
26) 45/60 or 9/12 or 3/4
27) 1/32
28) 3/21 or 1/7
29) 13/6 × 9/2
= 117/12
30) 3/4 × 17/2
= 51/8
31) 9/8 × 10/3
= 90/24
= 45/12
= 15/4
32) 16/5 × 2/3
= 32/15
sorry if theres any calculation mistake becoz i did all the calculations in mind
Step-by-step explanation:
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Answer:
110.5348 minutes
Step-by-step explanation:
The difference from room temperature changes from 103 to 59 in 46 minutes, so that difference can be modeled by the exponential equation ...
Δt = 103×(59/103)^(t/46)
We want to find t for the temperature difference Δt = 91 -64 = 27.
27 = 103×(59/103)^(t/46)
27/103 = (59/103)^(t/46) . . . . . divide by 103
Taking logs gives the linear equation ...
log(27/103) = (t/46)log(59/103)
Multiplying by the inverse of the coefficient of t, we get ...
t = 46·log(27/103)/log(59/103) ≈ 46·(-0.58147346)/(-0.24198521)
≈ 110.5347
It will take about 110.5347 minutes for the turkey to cool to 91 °F internally.
_____
<em>Comment on 4 decimal places</em>
An answer correct to 4 decimal places (7 significant digits) is a pretty good indication that the problem was worked correctly. However, that level of precision in the timing makes little sense in this context. Most thermometers will take at least a few seconds to register the temperature to within a tenth of a degree or so. This problem is asking for an answer that is within 6 milliseconds and 30 micro-degrees. Neither of these is anywhere near realistic for a kitchen meat thermometer.
More realistic would be an answer to 4 <em>significant figures</em>, a tenth of a minute and a few hundredths of a degree.
(The rate of change at the time of interest is about -0.33 degrees per minute.)
Answer:

Step-by-step explanation:
p=
,
(22+6)2-21=
44+12-21=
35=
,
If you factor out the equation, you get that 35=4p(if you factor it out)
Therefore,
Interest is equal to rs 72
Simple Interest is computed by multiplying the principal to the interest rate and the time.
I = P * r * t
Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs
I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.