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Studentka2010 [4]
3 years ago
14

-4(6x+3)= -12(x+ 10)

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

9

Step-by-step explanation:

-4(6x+3)= -12(x+10)

<u><em>Let's do the first part:</em></u>

-4(6x+3)

<em>**distribute**</em>

-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12

<u><em>Let's do the second part:</em></u>

-12(x+10)

<em>**distribute**</em>

-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120

-24x -12 = -12x - 120

<em>**Move variable to the left-hand side and change its sign**</em>

-24x +12x -12 = -120

-12x - 12 = -120

-12x = 108

x = 108/-12

x=9

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r-ruslan [8.4K]

Step-by-step explanation:

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3 years ago
B
Gnesinka [82]

Answer:

13

Step-by-step explanation:

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5^2 + 12^2 = c^2

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3 0
3 years ago
A rectangular table is fivetimes as long as it is wide. if the area is 80ftsquared​,find the length and the width of the table.
SOVA2 [1]
A = L * W
A = 80
L = 5W

80 = W(5W)
80 = 5W^2
80/5 = W^2
16 = W^2
sqrt 16 = W
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L = 5W
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3 0
3 years ago
If a cup of coffee has temperature 97°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law o
FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

              T_{a} =  \frac{1}{22-0}  \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx

               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

          T_{a} = 81.95^oC

       

8 0
3 years ago
What is the surface area of a cylinder with a radius of seven and the height is 28 both in inches?
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I am not really sure about this answer, but it is 4308.08in
Hope this helps!
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3 years ago
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