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sergejj [24]
3 years ago
14

When 6 is added to the number that is produced by tripling the number x, the result is equal to 2 times the number that is 3 les

s than x. What is the value of X?
Mathematics
1 answer:
Nikitich [7]3 years ago
3 0
So..

3x+6=2(x-3)   distribute
3x+6=2x-6      combine like terms
x=-12      solution
You might be interested in
One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
zalisa [80]
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
5 0
3 years ago
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
2 years ago
What is -√169? (note: negative in front of the √)
Mademuasel [1]
Hello!
Ignore the negative and solve the square root which is 13.
Add the negative with 13 you get -13
Special case is when it is square root of -169 then it will involved with i.
But for this question just solve it directly.
Have a great day!
4 0
3 years ago
1. A poll asked 15 teenagers their gender and whether or not they play basketball. The results are recorded in the table.
masya89 [10]
8 were boys and 2 didn't play basketball
6 0
3 years ago
What is the value of z in the equation 4(2z + 3) = 12?<br><br> −13<br> 12<br> 0<br> 12
Tomtit [17]

Answer:

0

Step-by-step explanation:

8z +12 = 12

8z = 0

z =0

4 0
1 year ago
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