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2 years ago

Marcel made an error when he used the distributive property to write an equivalent

Mathematics

1 answer:

natima [27]2 years ago

5 0

Answer: Upper left corner

Explanation:

The error happens in step 2. Notice that x is not part of the second term 16, so there's no way to factor x from it unless you want a fraction to result.

The second step should be 8(4x-2)

Another way to factor is to say 16(2x-1)

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A tank contains 200 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

mel-nik [20]

At the start, the tank contains A(0) = 50 g of salt.

Salt flows in at a rate of

(1 g/L) * (5 L/min) = 5 g/min

and flows out at a rate of

(A(t)/200 g/L) * (5 L/min) = A(t)/40 g/min

so that the amount of salt in the tank at time t changes according to

A'(t) = 5 - A(t)/40

Solve the ODE for A(t):

A'(t) + A(t)/40 = 5

e^(t/40) A'(t) + e^(t/40)/40 A(t) = 5e^(t/40)

(e^(t/40) A(t))' = 5e^(t/40)

e^(t/40) A(t) = 200e^(t/40) + C

A(t) = 200 + Ce^(-t/40)

Given that A(0) = 50, we find

50 = 200 + C ==> C = -150

so that the amount of salt in the tank at time t is

A(t) = 200 - 150 e^(-t/40)

7 0

3 years ago

How do i find the missing base of a trapezoid?

11111nata11111 [884]

The tops and bottoms of a trapezoid are parallel, and a polygon's volume and angles are always 360.As long as you know the shape and about three of the lengths, you can find the base.

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2 years ago

How can you subtract three digit numbers by using the combining place value strategy

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You can do it by lining up the place values and subtracting ones by ones, tens by tens, and hundreds by hundreds.

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3 years ago

Which could be used to evaluate the expression -6(4 2 over 3

alisha [4.7K]

Answer:

(-6)(4) x (-6) (2/3)

Step-by-step explanation:

3 0

3 years ago

A gardener installed 42.6 meters of fencing in week. He installed 13.45 fencing on Monday and 9.5 meters on Tuesday. He installe

nadya68 [22]

He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.

<h3>Further explanation</h3>

Given:

A gardener installed 42.6 meters of fencing in week.
He installed 13.45 meters on Monday and 9.5 meters on Tuesday.
He installed the rest of fence in equal lengths on Wednesday through Friday.

Question:

How many meters of fencing did he install in the last three days?
How many meters of fencing did he install on each of the last three days?

The Process:

Step-1: total fencing installed on Monday and Tuesday (in meters).

13.45

_9.5_+

22.95 meters

Step-2: total fencing installed on the last three days is total fencing in a week subtracted by total fencing installed on Monday and Tuesday.

42.6

22.95 -

19.65 meters

Final step: the amount of fencing installed on each of the last three days is total fencing in the last three days divided by three.

$\boxed{ \ 19.65 \div 3 = ? \ }$

19.65 = 18.00 + 1.50 + .15

$\boxed{ \ 18.00 \div 3 = 6. \ }$

$\boxed{ \ 1.50 \div 3 = .5 \ }$

$\boxed{ \ .15 \div 3 = .05 \ }$

_____________ +

$\boxed{ \ 19.65 \div 3 = 6.55 \ }$

Conclusion

He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.

<h3>Learn more</h3>

How much punch is in each bowl? brainly.com/question/1878521
How much money did Jenny earn in all brainly.com/question/2068148
What is the cost of the toy car? brainly.com/question/5282516

Keywords: A gardener, installed, 42.6 meters of fencing in week, 13.45 fencing on Monday, on Tuesday, on Wednesday through Friday, how many, on each, in the last three days? decimal operation

8 0

2 years ago

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