Step-by-step explanation:
step 1. break up the shape into 2 triangles and one rectangle
step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)
step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.
step 4. t1 = (1/2)(3)(2) = 3ft^2.
step 5. t2 = (1/2)(3)(3) = 4.5ft^2.
step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.
step 7. r = bh = (8)(4) = 32ft^2.
step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.
By solving a linear equation, we will see that the total cost for renting the bus is $90.
<h3>What was the total cost of renting the bus, in dollars?</h3>
Let's say that the total cost is C.
When there are 20 students, each student should pay:
p = C/20
When the other 10 students are added (for a total of 30) each student pays:
p' = C/30.
We know that the cost for each of the original 20 students decreased by $1.50, so:
p' = p - $1.50
Then we have 3 equations to work with:
p = C/20
p' = C/30.
p' = p - $1.50
Now we can replace the first and second equations into the third one:
C/30 = C/20 - $1.50
Now we can solve this linear equation for C:
C/20 - C/30 = $1.50
C*( 1/20 - 1/30) = $1.50
C*(30/600 - 20/600) = $1.50
C*(10/600) = $1.50
C*(1/60) = $1.50
C = 60*$1.50 = $90
So the total cost for renting the bus is $90.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
the original number is greater
Step-by-step explanation:
1. let 1x be your starting number
2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)
3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)
4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)
ANSWER
The vertical asymptotes are
<u>EXPLANATION</u>
We have
For vertical asymptotes we set the denominator to zero and solve the quadratic equation;
We split the middle term to obtain,
Therefore the vertical asymptotes are
Answer:
ali probley has a 50% chance
Step-by-step explanation:
