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uranmaximum [27]
3 years ago
8

Solve the equation 4(2x + 1) = 6x − 12.

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

x = - 8

Step-by-step explanation:

Here we are given a linear single variable equation of x and we have to solve it.

Now, the equation is 4(2x + 1) = 6x - 12

⇒ 8x + 4 = 6x - 12 {By distributive property of multiplication}

⇒ 8x - 6x = - 12 - 4

{Separating the x terms to one side and the constant terms to the other side}

⇒ 2x = - 16

⇒ x = - 8 {Dividing both sides by 2} (Answer)

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2 years ago
Three ratios that are Equivalent to 11:1
marin [14]

Answer:

1-22:2

2-33:3

3-44:4

Step-by-step explanation:

11+11=22

22+11=33

33+11=44

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6 0
3 years ago
Heidi spent a total of $60 on clothing items she bought 2 pairs of shorts for 10 dollars each she bought some t-shirts for 4 eac
lisov135 [29]

Answer:

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1 t-shirt and 3 sandals or

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Step-by-step explanation:

Total money spent by Heidi on the clothing items is $60.

Now , she bought 2 pairs of short for $10 each , so, the money spent on shorts will be $20.

Thus money for other stuffs should be $40.

Let she bought x t-shirts for $4 each , thus money spent on t-shirts will be 4x dollars.

Also let she bought y sandals for $12 each , so money spent on sandals will be 12y dollars .

Thus , 4x + 12y = 40.  (since 40 dollars were remaining for other clothing

                                     items)

So, x + 3y = 10.

So, the possible cases are 1 t-shirt and 3 sandals or

4 t-shirts and 2 sandals or

7 t-shirts and 1 sandals.

7 0
3 years ago
The price in dollars of a stereo system is given by p(q) = (1000/q2)+1000 where q represents the demand of the product.
elena-14-01-66 [18.8K]

Answer:

  a) r(q) = 1000(q +1/q)

  b) r'(q) = 1000(1 -1/q^2)

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Step-by-step explanation:

a) Revenue is the product of quantity and price:

  r(q) = q·p(q) = q(1000(1 +1/q^2))

  r(q) = 1000(q + 1/q)

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b) The derivative is ...

  r'(q) = 1000(1 -1/q^2)

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c) The derivative evaluated for q=10 is ...

  r'(10) = 1000(1 -1/10^2) = 1000(0.99)

  r'(10) = 990

5 0
3 years ago
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