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Bogdan [553]
3 years ago
13

½ (6x + 8) = 2x + 4 + x

Mathematics
2 answers:
Zarrin [17]3 years ago
6 0

Answer:

all real numbers

Step-by-step explanation:

1/2(6x + 8) = 2x + 4 + x

1/2 * 6x + 1/2 * 8 = 2x + 4 + x

3x + 4 = 2x + 4 + x

3x + 4 = 3x + 4

4 = 4

0 = 0

the answer is all real numbers because 0 will always equal 0

bearhunter [10]3 years ago
5 0

Answer:

True

Step-by-step explanation:

Both sides (right side and left side) of the equation are indeed equal.

I hope this helps!

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Water flows into a tank according to the rate F of t equals the quotient of 6 plus t and the quantity 1 plus t, and at the same
diamong [38]

Answer:

Step-by-step explanation:

The complete question is

Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.

Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by

\frac{dC}{dt}=[\tex]rate at which water flows in- rate at which water flows out. Then [tex]\frac{dC}{dt}=\frac{t+6}{t+1}-\frac{\ln(t+2)}{(t+1)}[\tex]so, the desired expression is obtained by integrating with respect to t. This leads us to [tex]C(t)  = \int \frac{t+1}{t+1}+ \frac{5}{t+1} - \frac{\ln(t+2)}{(t+1)} dt=t+ 5 \ln (|t+1|)-\int \frac{\ln(t+2)}{(t+1)} dt +C

Unfortunately, the integral \int \frac{\ln(t+2)}{(t+1)} dt cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the  polylogarithm function with n=2).

Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0

8 0
3 years ago
Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine
baherus [9]

Answer:

Each =\pounds 1121

Step-by-step explanation:

See comment for complete question.

Given

Total =  \pounds 8968

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Required

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From the question, we understand that each project gets each allocation.

So, the amount of each is:

Each =\frac{Total}{Projects}

Each =\frac{\pounds 8968}{8}

Each =\pounds 1121

<em>Each project gets £1121</em>

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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a washer and dryer combination cost $890 if the washer costs $90 more than the dryer what does each Appliance cost
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