<h3>
Answer: Choice C) -2 & 1/8</h3>
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Work Shown:
5 & 5/8 = 5 + 5/8
-5 & 5/8 = -(5 & 5/8) = -(5 + 5/8) = -5 - 5/8
So,
( -5 & 5/8 ) + ( 3 & 1/2 )
( -5 - 5/8 ) + ( 3 + 4/8 )
( -5+3 ) + ( -5/8+4/8 )
-2 + (-1/8)
-(2 + 1/8)
-(2 & 1/8)
-2 & 1/8
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Alternative Method
We could convert each mixed number to decimal form
-5 & 5/8 = -5-5/8 = -5.625
3 & 1/2 = 3+1/2 = 3.5
( -5 & 5/8 ) + ( 3 & 1/2 ) = -5.625+3.5 = -2.125
Then convert back to mixed number form
-2.125 = -2 & 125/1000
-2.125 = -2 & (1*125)/(8*125)
-2.125 = -2 & 1/8
Answer:
Step-by-step explanation:
Let x represent the number of wins of the least team.
The number of wins for three teams was three consecutive integers. Of these three teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1
The number if wins on the last team would be x - 2
The total number of wins by these three teams was 243. It means that
x + x - 1 + x - 2 = 243
3x - 3 = 243
3x = 243 + 3 = 246
x = 246/3 = 82
The first team had 82 wins
The second team had 82 - 1 = 81 wins
The last team had 82 - 2 = 80 wins
For small angles, x, in radians,
tan(x) ≈ sin(x) = x
Use this to create an approximate diagram for the problem as shown in the figure below.
The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.
The extend length is 3 km + 12 cm, which is
3000 + 0.12 = 3000.12 m
Half of the extended length is 1500.06 m
Let h+ the rise of the center of the rail above ground.
From the Pythagorean theorem, obtain
h² + 1500² = 1500.6²
h² = 1500.06² - 1500² = 180.004
h = 13.4 m, which is about 0.9% of the original length.
Answer: 13.4 m
Answer:
Step-by-step explanation:
so first you need to make a equation
since we are trying to find out the amount of rides we can make that stand for x so..
we can first write it as 2.50x
(x = the numbers of rides)
since the entree fee is 17 dollars but they are two kids we have to times 17 by 2 giving us 34 we can add 34 dollars to the equation
34 + 2.50x
alex and kendra have only $51.50 dollars and they cant spend more then that so that means the whole equation has to equal $51.50
34 + 2.50x = 51.50
since we are trying to find the number of rides we can subtract 34 on both sides giving us
2.50x = 51.50 - 34
2.50x = 17.50
then we solve for x which you can divde 2.50 on both sides
x = 17.50 /2.50
x = 7
Answer:
<em>Howard works 7x+7 hours in a week</em>
Step-by-step explanation:
<u>Equations</u>
Ron and Howard work at Amazon.
Ron works x hours each week for 7 days. This means he works 7x hours a week.
Howard works one more hour per day than Ron, thus he works x+1 hours per day. This means he works 7(x+1)=7x+7 hours a week.
Howard works 7x+7 hours in a week
