27.11.2021

The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

. 7

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Mathematics
Step-by-step answer
P Answered by PhD

Last option is the correct choice.

Step-by-step explanation:

Convert the mixed numbers into fraction and apply the rate formula.

Rate = Change / Unit Time

= 12 1/4 ÷ 3 1/2

= 49/4 ÷ 7/2 (Answer matching with the last option)

= 49/4 x 2/7 (Inverting the second fraction)

= 7/2

= 3 1/2

The rate of change per hour is 3 and a half degrees in temperature.

Best Regards!

Mathematics
Step-by-step answer
P Answered by PhD

  Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction;

49/4 ÷ 7/2

Step-by-step explanation:

Initial temperature: 0°

Final temperature: -12 1/4 ° = -(12x4 +1)/4 = -49/4  

Time: 3 1/2 hours = (3x2+1)/2=7/2 hours

We have to apply the next formula:

∆T = r × t

r= ∆T/t

Where:

r =Rate of change of temperature

t =time = 7/2 hours  

∆T =overall change in temperature = (-4.9/4-0)

Replacing with the values given:

(-12 1/4 -0 )/3 1/2= -49/4 ÷ 7/2 = -7/2

Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

Feel free to ask for more if needed or if you did not understand something.

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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