Do cross multiplication

6 = x
18 12

Now cross multiply

(6)(12) = (18)(x)

72 = 18x

Divide both sides by 18

72 = 18x
18 18

4 = x

So tMei can complete 4 problems in 12 minutes.

5 0

2 years ago

Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr

Papessa [141]

Let the price (before tax) be x. The tax is 7% of x, so it is 0.07x. The price plus the tax add up to $45. x + 0.07x = 45

4 0

2 years ago

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$

Thus, the given statement is not correct.

4 0

2 years ago

2\3 a certain number reduced by 11 is equal to 4 more than that number. Find the number (show work)

ArbitrLikvidat [17]

11 - 2/3n = 4 + n
n + 2/3n = 7
3n^2 + 2 = 21n
3n^2 - 21n + 2 = 0
n = 6.903 , n = 0.09657

4 0

2 years ago