Answer:
The number is 5
Step-by-step explanation:
Let x represent the number
Now let's break it down!
Sum of a number and 3 gives;
x + 3
This is then doubled to give;
2* (x + 3)
This is added to the product of 6 and the original number to give 46
Product of 6 and the original number = 6 * x
Now 2* (x + 3) is added to 6 * x to give 46
2* (x + 3) + 6*x = 46
2x + 6 + 6x = 46
8x + 6 = 46
Subtract 6 from both sides
8x + 6 - 6 = 46 - 6
8x = 40
x = 40/8
x = 5
Hence, the number is 5
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer
Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)
Answer:
$148.50
Step-by-step explanation
I solved this by using fractions.
x/450=33/100 is how I set up the problem. 33/100 represents 33%, while x/450 represents how much the jacket costs now.
I then went across and multiplied x by 100, and 450 by 33, which gave me 100x=14850. After this I divided each side by 100 to get 148.5, being the cost of the jacket.
He put 10 cans in the 5th row. 1st-2, 2nd-4, 3rd-6, 4th-8, 5th-10
I would say Q and R because of the value of the x values. Its a difference in the -7 and 2.
