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LuckyWell [14K]
3 years ago
11

You bought a binder for $5 and four notebooks. You spent a total of $17. How much did each notebook cost?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
4 0

Answer:

$3

Step-by-step explanation:

17 - 5 = 12 divided by 4 = 3

vovikov84 [41]3 years ago
3 0

Answer:

$3

Step-by-step explanation:

17 - 5 = 12

12/4 = 3

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The circumference of a circle is 12 pi what is the diameter​
Zolol [24]

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

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After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease
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Answer:

the answer is 5.5

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2 years ago
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A child's sandbox has a length of 5 metres and a width of 4 metres. A uniform sidewalk is to be built around the sandbox with pa
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5 meters. The area of the sidewalk has to be 10 meters and has to contain the 20 meter sandbox. The total area is thirty meters, so the length and width of the sidewalk is 6x5
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3 years ago
Jacob throws an acorn into the air. It lands in front of him. The acorn's path is
Burka [1]

Answer:

  • hits the ground at x = -0.732, and x = 2.732
  • only the positive solution is reasonable

Step-by-step explanation:

The acorn will hit the ground where the value of x is such that y=0. We can find these values of x by solving the quadratic using any of several means.

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<h3>graphing</h3>

The attachment shows a graphing calculator solution to the equation

  -3x^2 + 6x + 6 = 0

The values of x are -0.732 and 2.732. The negative value is the point where the acorn would have originated from if its parabolic path were extrapolated backward in time. Only the positive horizontal distance is a reasonable solution.

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<h3>completing the square</h3>

We can also solve the equation algebraically. One of the simplest methods is "completing the square."

  -3x^2 +6x +6 = 0

  x^2 -2x = 2 . . . . . . . . divide by -3 and add 2

  x^2 -2x +1 = 2 +1 . . . . add 1 to complete the square

  (x -1)^2 = 3 . . . . . . . . written as a square

  x -1 = ±√3  . . . . . . . take the square root

  x = 1 ±√3 . . . . . . . add 1; where the acorn hits the ground

The numerical values of these solutions are approximately ...

  x ≈ {-0.732, 2.732}

The solutions to the equation say the acorn hits the ground at a distance of -0.732 behind Jacob, and at a distance of 2.732 in front of Jacob. The "behind" distance represents and extrapolation of the acorn's path backward in time before Jacob threw it. Only the positive solution is reasonable.

3 0
1 year ago
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4. Lisa walked 48 blocks in 3 hours.<br> blocks per hour
dlinn [17]

Answer:

The number of blocks in one hour is the same that the unit rate, so 16 blocks per hour

Step-by-step explanation:

we know that

To find out the unit rate, divide the total blocks by the total time

so

\frac{48}{3}\ \frac{blocks}{hours}=16\ \frac{blocks}{hour}

3 0
2 years ago
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