Answer:
$3242
Step-by-step explanation:
If each room mates bank account loses $810.50 after paying rent, it means they are spending that on rent. Since there are 4 friends, just do $810.50 times 4 and that's the answer of how much rent costs in total.
The answer is: " 12 " .
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→ " x = 12 " .
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To solve:
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3x - 1 = x + 23 ; Solve for "x" ;
Subtract "x" from each side of the equation; & add "1" to each side of the equation;
3x - 1 - x + 1 = x + 23 - x + 1 ;
to get:
2x = 24 ;
Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
2x/2 = 24/2 ;
to get:
x = 12 .
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Let us check our answer, by plugging in "12" for "x" ; on EACH side of the original equation; to see if the equation holds true; {that is, to see if each side of the original equation is equal, when "x = 12" } ; as follows:
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3x - 1 = x + 23 ;
Substitute "12" for "x" on each side ;
3(12) - 1 =? (12) + 23 ??
36 - 1 =? 35 ??
35 =? 35?? Yes!
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Hey!
When you're dividing fractions, you have to keep, change, flip
Keep 3/4
Change ÷ to ×
Flip 1/8 = 8/1
That gives you:

<em>That means your answer is the 2nd choice</em>
Good luck and hope this helps! :)
Answer:
619.13 feet
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between doghouse to the foot of the tower.
We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.
First of all, we will convert our given angle into degrees as it is given in degrees and minutes.
We will divide 8 by 60 to convert 8 minutes into degrees as:

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.





Upon rounding to nearest hundredth, we will get:

Therefore, the doghouse is 619.13 feet far from the foot of the tower.