This was rough, but either way I love math haha
Answer:
Step-by-step explanation:
hello :
(4a) × (3b) =12ab
Answer:
60 centimeters by 20 centimeters
Step-by-step explanation:
5 X 20 = 100 5 X 60 = 300
The correct answer is: [A]: " x + 2y = -11 " .
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Explanation:
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First, we narrow down to choices:
[A]: "x + 2y = -11 ; and: [D]: "2x + y = -10 " ;
since these are the only answer choices that the point "(-3, -4) pass through.
Now, write these in "slope-intercept form" (a.k.a. "point-slope form"); that is:
y = mx + b ;
and see which one has the slope of "(-1/2)" (i.e. "m = -1/2") ;
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Start with Answer choice [A]: "x + 2y = -11 " ;
↔ 2y + x = -11 ;
Subtract "x" from each side:
2y + x − x = -11 − x ;
to get: 2y = -11 − x ;
↔ 2y = -11 + (-x) ;
↔ 2y = -x + (-11) ;
↔ 2y = -1x − 11 ;
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Divide EACH SIDE of the equation by "2" ;
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2y / 2 = (-1x − 11) / 2 ;
to get: y = (-1/2)x − (11/2).
So: Answer choice: [A]: should be the correct answer .
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Let us try Answer choice: [D] ; just to rule out this possible answer:
" 2x + y = -10 " ;
↔ y + 2x = -10 ;
Subtract "2x" from EACH SIDE of the equation ;
y + 2x − 2x = -10 − 2x ;
y = -10 − 2x ;
↔ y = -10 + (-2x) ;
↔ y = -2x + (-10) ;
↔ y = -2x − 10 ;
The slope of: Answer choice [D]: is "-2" ; NOT "(-1/2)".
So; we confirm that: Answer choice: [D]: is INCORRECT.
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So the correct answer is: Answer choice: [A]: " x + 2y = -11 " .
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Answer:
1131 pounds.
Step-by-step explanation:
We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.
First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:
The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.
Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.
Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.
