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mr_godi [17]
3 years ago
12

Gabriel has already 200 pages of his 530-page number reading book. If he reads at an a average rate of 55 pages per hour, how lo

ng will he need to finish the book? Write and solve an equation to find the answer. Show your work.
Help please
Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer: 55x +200 = 530           x=6

Step-by-step explanation:

55x +200 = 530

-200                       -200

-------------------------------------------

55x = 330

divide by 55 on both sides

-------------------------------------------------

x=6

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the distance between Cincinnati,Ohio and Charlotte, north Carolina, is about 366 miles. the distance between Cincinnati and Chic
nekit [7.7K]

Start in North Carolina and go to Cincinnati which is 366 miles. To this add 247 miles.

The total driving distance = 366 + 247 = 613 miles in all.

8 0
3 years ago
Which equation represents g(x)?
Sergeeva-Olga [200]

Answer:

There's not enough information to determine the answer... is there more to this?

3 0
3 years ago
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te
Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

\frac{dT}{dt}=-k(T-T_{s})

T is temperature of a cup of coffee at any time t T_{s}, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

T(0)=190\\T(1)=170\\T_{s}=66

\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}

ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes

4 0
3 years ago
At Walmart, apples cost $0.50 each, and grapefruits cost $2 each. You want to spend exactly $15.
Papessa [141]

Define the variables: a is the number of apples I can buy                                                                        g is the number of grapefruits I can buy.

Write the equation: 15 = 0.50a + 2g

6 0
3 years ago
Can someone help me ?
lozanna [386]

Answer:

10 > v (if you don't trust me, check it yourself. Subsitute v for 10 in the first equation.

Step-by-step explanation:

1) 7 > v - 3

2) add 3 to both sides

3) so 7 plus 3 equals 10

So you basically do this

7 > v - 3 (ad 3 to both sides)

You get 10 > v (which is as simplified as possible)

Hope this helps! :)

8 0
3 years ago
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