<u>Answer-</u>
<em>The total amount of water wasted this year is 6716 gallons.</em>
<u>Solution-</u>
A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.
This year they wasted 15% more than that amount they wasted previous year.
15% of 5840 is,
The total amount of water wasted this year =
The amount of water wasted previous year + 15% more of the amount of that
= 5840 + 876
= 6716 gallons
Therefore, the total amount of water wasted this year is 6716 gallons
Answer:
Step-by-step explanation:
We want to find
This can be rewritten as;
Recall that; 
We evaluate now to obtain;
Answer:
23. x = 4; DE = 44
24. x = 25; DS = 28
Step-by-step explanation:
23. Point S is the midpoint of DE, so ...
DS = SE
3x +10 = 6x -2
12 = 3x . . . . . . . . . add 2-3x
4 = x . . . . . . . . . . . divide by 3
Then DS has length ...
DS = 3x +10 = 12 +10 = 22
and DE is twice that length, so ...
DE = 44
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24. DS is half the length of DE, so is ...
DS = DE/2 = 56/2
DS = 28
Then x can be found from ...
DS = x +3
28 -3 = x = 25 . . . . . substitute value for DS
_____
<em>Comment on problem 24</em>
Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)
m = 
= 
= 2
Hey there! I'm happy to help!
Let's represent the total number of marbles with the variable t. We have the following information.
1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)
Now, we solve for t.
1/2t+1/6t+8=t
We combine like terms.
2/3t+8=t
We subtract t from both sides.
-1/3t+8=0
We subtract 8 from both sides.
-1/3t=-8
We divide both sides by -1/3.
t=24
Therefore, there ae 24 total marbles in the bag.
Have a wonderful day! :D
