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Sladkaya [172]
3 years ago
6

Gabriella is X years old. Her sister, Felicia, is six years older that she is. Their mother is twice as old as Felicia. Their au

nt, Tanya, is X years older than their mother. Write and simplify an expression that represents Tanya's age in years.
Mathematics
1 answer:
Fudgin [204]3 years ago
4 0
In this case, Gabriella = x 
Felicia is 6 years older than Gabriella's age. this makes their equation F = x + 6
Their mother is twice as old as Felicia. this makes their equation M = 2(x + 6)  or  2x + 12
Tanya is the mothers age + Gabriella's age. this makes the equation
A = 2x + 12 + x = 3x + 12
when you solve the equation you will get the equation 3x + 12, which is the simplified expression that represents Tanya's age.

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Answer:

4

Step-by-step explanation:

(y2-y1)/(x2-x1)=m

(10-2)/(3-1)

8/2

m=4

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nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

(x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract x^2(x-2) from the original expression, leaving you with 9x^2+2x-40.

Next, subtract 9x(x-2) from the expression, leaving you with 20x-40. Finally, subtract 20(x-2) from the expression, leaving you with a remainder of 0. This means that the real quotient is x^2+9x+20. Hope this helps!

6 0
3 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}

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What is the least multiple of 6,12 and 15
Jobisdone [24]
The answer would be three 
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3 years ago
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