Answer:
- 150 short-sleeved shirts
- 100 long-sleeved shirts
Step-by-step explanation:
Let S and L represent the numbers of short- and long-sleeved shirts ordered.
The expected earnings were ...
5S +10L = 1750
The number sold was ...
(1/3)S + (1/2)L = 100
We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:
Subtracting the second equation from twice the first gives ...
2(S +2L) -(2S +3L) = 2(350) -(600)
L = 100 . . . . . . simplify
2S +3(100) = 600
S = 150
150 short-sleeved and 100 long-sleeved shirts were ordered.
Answer:
- C. The lines will intersect once, because this system has one solution
Step-by-step explanation:
<u>System of equations: </u>
The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same
Let's put the lines into slope-intercept form to compare
<u>Line1 </u>
- 5x - 6y = 4
- 6y = 5x - 4
- y = 5/6x - 4/6
<u>Line </u>2
- 3y + 2x = 7
- 3y = -2x + 7
- y = -2/3x + 7/3
As we see lines have different slopes so they are different and they intersect once
This system has one solution
8 is in the ones place so 8 ones.
Answer:
-10x² - 7x + 7
Step-by-step explanation:
Subtract:
- -5x² - 8x - 1 - (5x² - x - 8)
- -5x² - 5x² - 8x + x - 1 + 8
- -10x² - 7x + 7
Remember: subtracting a negative number is adding that number
-Chetan K
<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>
