60t +60 = 80t
subtract 60t from both sides of=
20t = 60
t = 3
The two trains are the same distance from Chicago at 3pm, at that time both trains will have covered 240 miles
The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>
The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
Read more about area at:
brainly.com/question/24487155
#SPJ1
Answer:
2x
Step-by-step explanation:
10x/5 is the same as 1/5 times 10x.
Simplify to get 2x
-- The probability of rolling a 22 is zero. That result is impossible, because the sides are labeled with single digits 1 through 6 . Since 22 is not printed anywhere on the cube, it can never come up.
-- The probability of rolling a<em> 2</em> , however, is <em> 1/6</em> . <em>(B)</em>
<em></em>
The -probability of rolling something you want is always
<em>(the number of different possible results that you like) </em>
divided by
<em>(the total number of different possible results)</em>
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
-
Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
