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Sidana [21]
2 years ago
8

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 <u>not</u> 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.
7 0
2 years ago
How can you subtract three digit numbers by using the combining place value strategy
gulaghasi [49]
You can do it by lining up the place values and subtracting ones by ones, tens by tens, and hundreds by hundreds.
3 0
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>

<u>Given:</u>

  • 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.

<u>Question:</u>

  • 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?

<u>The Process:</u>

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

13.45

_<u>9.5_+</u>

22.95 meters

<u>Step-2:</u><u> </u>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

<u> 22.95 -</u>

19.65 meters

<u>Final step:</u> 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 \ }

<u>Conclusion</u>

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>
  1. How much punch is in each bowl? brainly.com/question/1878521  
  2. How much money did Jenny earn in all brainly.com/question/2068148 
  3. 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
Read 2 more answers
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