Answer:
The sentence you have can be expressed in algebra (using x as 'the number'):
2x + 5 = x / 3. (We add 5 to the left side because that product is less than the right side.)
Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.
or
Let the unknown number that we are solving for be x.
The product of a number and 2 means 2*x
5 less than the quotient of a number and 3 means x/3 - 5.
So,
2*x = x/3 - 5 subtract x/3 from both sides of the equation
2x - x/3 = -5 , now find the least common denominator for the left side of the equation
6x/3 - x/3 = -5
(6x - x)/3 = -5
5x/3 = -5, now multiply both sides of the equation by 3
5x = -15 now divide both sides of the equation by 5
x = - 3. So the number is -3.
Step-by-step explanation:
Answer:
D. add all the y values to get 696 and then add all the x values and get 11.6 divide 696 by 11.6 and you get 60. You get the y-values by multiplying 60 by the x value, so D is the correct answer
Step-by-step explanation:
Answer:
23) 0
24) Option A
Step-by-step explanation:
For question 23, the line is horizontal. All horizontal lines have no slope.
For question 24, we are only given two points. (-3, -2) and (3, 4).
The slope is 1. Since option A's equation has a slope of one, which is represented by only having the 'x', Option A should be the correct answer.
The <em>correct answer</em> is:
Diana is correct.
Explanation:
A diagram of the problem is attached. Since ∠1 and ∠2 form a straight line, they are supplementary angles; this means that ∠1 + ∠2 = 180°.
Using the same logic, ∠1 and ∠4 form a straight line, so ∠1 + ∠4 = 180°.
Using the transitive property (or substitution), ∠1 + ∠2 = ∠1 + ∠4.
The last step would be to subtract ∠1 from each side, leaving ∠2 = ∠4, which are vertical angles.
Joby's proof is incorrect because you cannot use a statement you are trying to prove in its own proof.
