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evablogger [386]
4 years ago
15

5(x+4)+10-2x+3(2x+9)

Mathematics
1 answer:
qwelly [4]4 years ago
4 0

Answer:

x = (-19)/3

Step-by-step explanation:

Solve for x:

10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0

5 (x + 4) = 5 x + 20:

10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0

3 (2 x + 9) = 6 x + 27:

6 x + 27 + 5 x - 2 x + 10 + 20 = 0

Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27):

(-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0

-2 x + 5 x + 6 x = 9 x:

9 x + (10 + 20 + 27) = 0

10 + 20 + 27 = 57:

9 x + 57 = 0

Subtract 57 from both sides:

9 x + (57 - 57) = -57

57 - 57 = 0:

9 x = -57

Divide both sides of 9 x = -57 by 9:

(9 x)/9 = (-57)/9

9/9 = 1:

x = (-57)/9

The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3:

Answer: x = (-19)/3

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8

Step-by-step explanation:

The numbers in order

1, 2, 3,4,4,6,7,[8,]10,11,12,12,15,15,22

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3 years ago
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3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?
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262.5 miles
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The population decline 21 %down to 15,049 what is the population
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If<br>A = i +3j -2K and B=4i-2j+4k<br>Find (2A+B).(A-2B)​
Marizza181 [45]

GIVEN :

a = 1/√10 ( 3i + k) and

b = 1/7 ( 2i + 3j - 6k)

TO FIND :

( 2a- b) . [ ( a x b ) x ( a + 2b)]

SOLUTION :

◆Going with the equation given,

( 2a - b) . [ ( a x b ) x ( a + 2b)]

= (2a - b) [( a×b×a) + 2(a×b)×b]

◆BAC - CAB RULE,

A×B×C = B( A.B ) - C(A.B )

= (2a- b ) [ (b (a.a ) - a (a.b ) + 2b ( a.b) -2b (a.b]

Solving further

= (2a - b )(b - 2a)

= -4a.a -b.b

=-5.

Answer:

( 2 - b) . [ ( a x b ) x ( a + 2b)] = -5

Hoped I helped

8 0
3 years ago
Given that events A and B are independent with P(A) = 0.75 and
Andrei [34K]
<h2>Answer:</h2><h2>The value of P (B) = 0.22</h2>

Step-by-step explanation:

The probability of event A, P (A) = 0.75

The probability of events A and B, P (A ∩ B) = 0.165

The probability of event B, P (B) = ?

Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

By formula,

P (A ∩ B) = P (A) . P (B)

By substituting the values to the above equation, we get

0.165 = 0.75 * P (B)

P (B) = 0.22

3 0
4 years ago
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