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Gnesinka [82]
4 years ago
5

Kent multiplies both sides of the equation below by an expression.

Mathematics
2 answers:
Korolek [52]4 years ago
8 0
The steps below are presented in order to arrive to the value of k of the given equation. 
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,  
            (k + 12/ k)(k) = 8(k)

Then, we simplify,
             k + 12 = 8k
We then, subtract 8k to both sides of the equation,
           k - 8k + 12 = 8k - 8k

Simplifying,
                  -7k + 12 = 0

Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,                  
                     k = 12/7
liubo4ka [24]4 years ago
3 0

Answer:

D on edge :)

Step-by-step explanation:

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The answer is C.

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2^3 + 3(9-5) plz help
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The answer is 20

Step-by-step explanation:

6 0
3 years ago
What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
ivann1987 [24]

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

hope this helped youuu

8 0
3 years ago
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot
mixer [17]

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X     Frequency

8        0

8.1        0

8.2        2

8.3        2

8.4        2

8.5        3

8.6        0

8.7         1

8.8        0

8.9         1

 9           0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

  1. Minimum (shown at the bottom of the chart)
  2. First Quartile (shown by the bottom line of the box)
  3. Median (or the second quartile) (shown as a line in the center of the box)
  4. Third Quartile (shown by the top line of the box)
  5. Maximum (shown at the top of the chart).

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

[\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3,

Q₁ = 8.3.

The median value is,

[\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4

Median = 8.4

The upper quartile is,

[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5,

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

5 0
3 years ago
Convert the equation from intercept form to standard form.<br> y= 3(x-1)(x-4)
Sergeu [11.5K]

Answer:

I think the answer is y = 3x + 12.

Step-by-step explanation:

y = 3 (x - 1) (x - 4)

y = 3x -3 (x - 4)

y = 3x + 12

7 0
3 years ago
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