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Stels [109]
2 years ago
12

An equation is shown below: 6(2x - 11) 15 = 21 Write the steps you will use to solve the equation and explain each step.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

x=6

Step-by-step explanation:

6(2x -11) 15 =21

6 × 2x = 12x

6 × -11 = -66

12x -66 + 15 = 21

-66 + 15 = -51

12x -51 = 21

-51 + 51 = 0

21 + 51 = 72

12x = 72

12x ÷ 2 = 0

72 ÷ 12 = 6

x = 6

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Rewrite the expression in standard form ( use the fewest number of symbols and characters possiable). a. 5g•7h b.3•4•5•m•n
CaHeK987 [17]

Answer:

a. 35 *gh or 35 gh

b. 60 *mn or 60 mn

Step-by-step explanation:

The fewest number of symbols and characters can be obtained by multiplying the constant numbers with the constant numbers and variables with the variables.

a. The co efficients 5 and 7 are multiplied to get 35 and g is multiplied with h to get gh. So the answer is 35*gh. It can be further simpliefied into 35 gh

b. The co efficients 3,4 and 5 are multiplied to get 60 and m is multiplied with n to get mn. The answer is 60* mn. On further simplificaation we get 60 mn.

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3 years ago
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ehidna [41]

Answer:

x= 3.096

Step-by-step explanation:

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4 0
2 years ago
Maria studied the traffic trends in India. She found that the number of cars on the roads increases by 10% each year. If there w
laiz [17]
You would do

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7 0
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Answer: 6144m^2

Step-by-step explanation:

4 0
3 years ago
Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .
anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

We need to begin with the definition of tangent:

tan (x) =\frac{sin(x)}{cos(x)}

So we can replace into our formula and we got:

tan(x-y) = \frac{sin(x-y)}{cos(x-y)}   (1)

We have the following identities useful for this case:

sin(a-b) = sin(a) cos(b) - sin(b) cos(a)

cos(a-b) = cos(a) cos(b) + sin (a) sin(b)

If we apply the identities into our equation (1) we got:

tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}   (2)

Now we can divide the numerator and denominato from expression (2) by \frac{1}{cos(x) cos(y)} and we got this:

tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}

And simplifying we got:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

And this identity is satisfied for all:

(x-y) \neq \frac{\pi}{2} +n\pi

8 0
3 years ago
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