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3 years ago

PLEASE HELP ME I NEED HELP RIGHT AWAY!!!

Mathematics

2 answers:

Inessa [10]3 years ago

6 0

Answer:

There are a total of 40 books in the box.

Jobisdone [24]3 years ago

4 0

Answer:

There are 40 books total

Step-by-step explanation:

you need to set a proportion

The first fraction is 55/100 it's over 100 because it's percent

the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books

then you multiply diagonally

55×x= 22×100

55x=2,200

Then you solve it like a regular equation by dividing both sides by 55

x=40

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3 years ago

When an amount of heat Q (in kcal) is added to a unit mass (kg) of a

lisov135 [29]

Answer:

The change in temperature per minute for the sample, dT/dt is 71. $\overline {6}$ °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

$\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)$

$\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)$

Therefore, we get;

$\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}$

$\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C } = 71.\overline 6 \, ^{\circ } C/min$

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

$\dfrac{dT}{dt} = 71.\overline 6 \, ^{\circ } C/min$

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3 years ago