How could you estimate the quotient 162 divided by 19

Answers

Answer 1
Answer:

The exact quotient of 162 ÷ 19 is 8 with a remainder of 10.

To estimate the quotient of 162 divided by 19, you can use rounding or long division.

Rounding:

Round 162 to the nearest tens place, which is 160.

Round 19 to the nearest tens place, which is 20.

Divide 160 by 20: 160 ÷ 20 = 8.

So, the estimated quotient of 162 ÷ 19 is approximately 8.

Long Division:

Perform long division to find the exact quotient of 162 ÷ 19:

       8

  ___________

19 | 162

     - 152

     -----

        10

Hence, the exact quotient of 162 ÷ 19 is 8 with a remainder of 10.

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Answer 2
Answer: To estimate the quotient, you can use compatible numbers like 160 and 20.

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What division problem does this model represent

Answers

Answer choice B is correct

Blaine can make somewhere between 16 and 23 parking signs an hour. He needs 14 hours to set up his work station. About how many signs could he make in forty hours?A. 650 signs
B. 800 signs
C. 1,000 signs
D. 1,500 signs

Answers

Blaine could make approximately 650 signs in forty hours.

Calculate the working hours

Blaine needs 14 hours to set up his work station. So, out of the total 40 hours, he will have

=> 40 - 14 = 26 hours to actually work on making signs.

Calculate the minimum number of signs he can make

If Blaine makes 16 signs per hour, then in 26 hours, he will make a minimum of

=> 16 * 26 = 416 signs.

Calculate the maximum number of signs he can make

If Blaine makes 23 signs per hour, then in 26 hours, he will make a maximum of

23 * 26 = 598 signs.

Calculate the average number of signs he can make

To get a more reasonable estimate, we take the average of the minimum and maximum number of signs:

Average = (Minimum + Maximum) / 2

= (416 + 598) / 2  = 650 signs.

Hence the correct option is (a).

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a. 650 signs , take away 14 hours

How do you solve equations like this: 7 5/6? can someone explain it? (7 5/6 is just an example)

Answers

a  b/c is a mixed number, we can turn a mixed number into  its simplest form in this way:
a  b/c= a +  b/c=(a*c+b)/c

In this case:
7  5/6=7+  5/6=(7*6+5)/6=(42+5)/6=47/6

Therefore:  7  5/6  =47/6
Convert 7 5/6 to decimal form...

The fractional part of this number is what needs the focus. The whole number is 7, so we know that the decimal will lie somewhere between 7 and 8 (it will be 7 point something). All we have to do is convert 5/6 To decimal and attach it to the 7...

To find the decimal just do the math described by the fraction. 5/6 literally reads 5 ÷ 6. Set up the division and the result is .8333

So the decimal form of
7 5/6 is 7.8333

Alternatively you can set it up as a ratio then solve for x.

5/6 = x/100

Cross multiply

6x = 500

divide each side by 6

x = 83

83/100 = .83

7 5/6 = 7.83



How to write an expression using exponents?

Answers

You do whatever number to the 2nd or 3rd power

(x-4) (x+7)
distribution method​

Answers

the answer would bex squared + 3x - 28

x^2-11x+28 (FOIL method)

4x + 12 = -7y
-y + 12 = 4x
Solve with elimination

Answers

Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
-4x   + 12  =   this eliminates the x's
          24 = - 6y            then divide by - 6
           - 6     - 6
         - 4    = y

So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers
     16      = 4 x        then divide by 4
       4      =  x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
\begin{cases}4x + 12 = -7y \n -y + 12 = 4x \end{cases} \n \n\begin{cases}4x + 7y = -12 \n -4x-y =-12 \end{cases} \n+ ------- \n6y=-24\ \ /:6\n \ny=-(24)/(6)\n \ny=-4

4x+12=-7y\n \n 4x+12=-7*(-4)\n \n4x=28-12\n \n4x=16\ \ /:4\n \nx=(16)/(4)\n \n x=4 \n \n \begin{cases}x=4 \n y=-4 \end{cases}