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OLga [1]
2 years ago
8

Please solve these questions with the equations. Will give 80 points and mark brainliest to the person with the answers.

Mathematics
1 answer:
I am Lyosha [343]2 years ago
5 0

1]

8(x-7)=128 \ \ /:8\\\\x-7=16 \ \ /+7\\\\\huge\boxed{x=23}

2]

16=2(x+7) \ \ /:2\\\\x+7=8 \ \ /-7\\\\\huge\boxed{x=1}

3]

\frac{7y}{7}=20\\\\\huge\boxed{y=20}

4]

2x-1=9 \ \ /+1\\\\2x=10 \ \ /:2\\\\\huge\boxed{x=5}

5]

2(x-8)=20 \ \ /:2\\\\x-8=10 \ \ /+8\\\\\huge\boxed{x=18}

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Solve x^2-7x+12=0 by using the quadratic formula
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The answer is : x=4, 3
4 0
3 years ago
Write an equation in standard form of the line that contains the point (-1,2) amd is perpendicular to y = 3x - 1
Strike441 [17]
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is -\frac{1}{3} x

So now we have, 
y=- \frac{1}{3} x+b

To find b, we use the point that the line passes through and substitute it to the y and x values.

2=- \frac{1}{3} (-1)+b

which would give us b=5/3

Therefore, the equation of the line is 
y=- \frac{1}{3} x+ \frac{5}{3}
7 0
2 years ago
A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 ​hours
Lisa [10]
In  1414 hours it covered 700 miles

In  1 hour it would have covered  (700/1414) mile

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5 0
2 years ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
3 years ago
Could someone help me please if you don’t mind thank you so much!
Marina86 [1]

Answer:

m = 11

Step-by-step explanation:

Given

\frac{2}{5} (m + 4) = 6 ← multiply both sides by 5 to clear the fraction

2(m + 4) = 30 ( divide both sides by 2 )

m + 4 = 15 ( subtract 4 from both sides )

m = 11

This method avoids having to deal with awkward fractions

6 0
3 years ago
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