Answer:
?
Step-by-step explanation:
Answer:
$3 for Syd and $5 for Mark
Step-by-step explanation:
when Mark worked 8 hours and Syd worked 10 hours they earned $80
when Mark worked 9h Syd worked 5h they earned $65
we can make a equation out of these information
8M + 10S = $80
9M + 5S = $65 we can use the systems of equations by eliminating method
multiply second equation by -2
-2 × (9M + 5S) = $65
-18M - 10S = -$130 now add up the new equation with the first one
8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)
-10M = -$50
10M = $50
M = $5
we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)
9×5 + 5S = $65
45 + 5S = $65
5S = $15
S = $3
Answer:
(c) 45x³y
Step-by-step explanation:
Terms of a polynomial expression are separated by + or - signs. If there is only one term, there is no need to separate terms with such signs.
<h3>One term</h3>
The one-term expression is ...
45x³y
__
<em>Additional comments</em>
If the coefficient of a one-term expression is negative, there will be a leading minus sign. There won't be another term on the other side of that sign.
The given expressions appear to suffer from poor editing. Ordinarily, exponents are rendered using a superscript font, as the 3 is in the first expression. However, the second term of that expression is 1x2, which we understand to be 1x². If the 2 were intended as a multiplier, rather than an exponent, we would expect it to be combined with the coefficient 1 in that term to give (xy)³ -2x.
It is this assumption that leads us to write 45x3y as 45x³y. If that is not the intention of the given expression, it could be simplified to 135xy.
Ordinarily, if an exponent is not rendered in superscript font, we expect it to be identified by the caret (^) operator, as in 45x^3y.
from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.
the third point, (0,-6), to the base is your height
use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8
area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12
Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis
Answer:
Length = 22 feet Width= 8.5 feet
Step-by-step explanation:
Perimeter= 61
Let Width= x
Length= 2x+5
Perimeter= 2l + 2w
61= 2(2x+5) + 2x
61 = 2(2x+5+x)
61/2 = 3x+5
30.5 -5 = 3x
25.5 = 3x
25.5/3 =x
x= 8.5
Hence, width = 8.5 feet
Then, the length = 2x+5 = 2(8.5) +5 = 22 feet
Hope this helps!
