Answer:
15 days
Explanation:
500-50=450
450/30= 15
It will take Fred 15 days to have a balance of $500 to buh a new computer.
Answer:
Stage crewmember's calculation is incorrect
Correct = 1/16x 1/16y
Step-by-step explanation:
Given that:
Dimension of backdrop : 20 feets long ; 16 feets high
Actual dimension of building : 320 feets long ; 256 feets high
The correct scale factor can be obtained thus :
Ratio of backdrop dimension to the actual dimension of building
Length : 20 / 320 = 1 /16
Height : 16 / 256 = 1/16
Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.
It would be x = 4 (plus or minus) the square root of 3.
Hope this helps.
To solve with Elimination:
Write the equations under one another, like this:
2x - y = -1
+ 3x + 4y = 26
Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.
If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!
4( 2x - y = -1)
+ 3x + 4y = 26
Be certain to Distribute across the entire first equation, so multiply all three terms by 4.
8x - 4y = -4
+ 3x + 4y = 26
Now add straight down (vertically). The y term will be eliminated.
11x = 22
Divide both sides of the equation by 11.
x = 2
Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.
3x + 4y = 26
3(2) + 4y = 26
6 + 4y = 26
Subtract 6 from both sides of the equation.
4y = 20
Divide both sides of the equation by 4.
y = 5
That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
