Im assuming that to be the case, so:-
11/12 + 1 3/4
= 11/12 + 7/4
= 11/2 + 21 / 12
= 32 / 12
= 2 2/3 OZ. (Choice D).
He has <150 (hope that's what you're looking for!)
Answer:
Option D.
Step-by-step explanation:
The given expression is (5r + 2)(3r minus 4)
Convert this expression into an algebraic expression.
(5r + 2)(3r - 4)
By distribution law,
= 5r(3r - 4) + 2(3r - 4)
= 15r² - 20r + 6r - 8
= 15r² - 14r - 8
Now convert the algebraic expression into the language form.
15r squared minus 14r minus 8
Therefore, option D is the answer.
Answer:
x= 70 degrees
y= 30 degrees
z= 20 degrees
Step-by-step explanation:
Angle x will be supplementary to the 110 degree angle adjacent to it since it will form a straight line. 180 - 110 = 70 degrees.
Since we know the other two angle measures in the triangle that angle y is in, we can do 180 - (110 + 40) to find angle y. 180 - 150 = 30 degrees
We also know the other 2 angle measures of the triangle that angle z is in. We can find angle z by doing 180 - (70 + 90). 180 - 160 = 20
Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
