Answer:
Shorts = 112 and t shirts = 165
Step-by-step explanation:
Let S = shorts
Let T = t shirts
T + S = 277
$2T + $3S = $656
-2(T + S) = 277 so -2T -2S = -544
2T + 3S = 656 so 2T + 3S = 656
------------------------
SO: (subtract T's cancel out) 1S = 112
divide by 1 so S = 112
Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165
Both A and D are negative products.
Answer:
total change in time when you used 5 clues is 10.
Step-by-step explanation:
if you have 3 free clues, then 5-3 =2
That means you used 2 additional clues. 2 clues means 5*2 min reduced which is 10 mins reduced. The total time you have is x and the total time left is x-10 after you used the two clues.
Does this help?
Answer:
22.681
Step-by-step explanation:
1
4.061
<u>+ 18.620</u>
22.681
Hope this helps!! Have a wonderful day C:
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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