Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
x=12.6
Step-by-step explanation:
5x -9 / 7
5x= -9x7
5x= -63
x= -63/5 = -12.6
x= -12.6
Answer:
Area of the given figure is 51.5 square units.
Step-by-step explanation:
Area of rectangle OCBH = Length × width
= 11 × 8
= 88 square units
Area of trapezoid OGEF = 
= 
= 
= 18 units²
Area of trapezoid GCDE = 
= 
= 13.5 units²
Area of triangle AFH = 
= 
= 5 units²
Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)
= 88 - (18 + 13.5 + 5)
= 88 - 36.5
= 51.5 units²
Therefore, area of the given polygon is 51.5 units²
Answer:
32 divided by 4 = 8,
8^2 + 8^2 = 128
128: 11^2 = 121 close enough, 11 is your answer
We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.
The equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
<h3>What is the equation which represents the data in the table as attached?</h3>
It follows from the task content that the slope of the relation can be determined by means of the slope formula for a linear equation as follows;
Slope = (1-(-1))/(-1 -(-2))
Slope = 2.
Hence, the equation which represents the function is;
2 = (y-(-1))/(x -(-2))
2x + 4 = y +1
y = 2x + 3.
Therefore, the equation which represents the data in the table as in the task content is; Choice C; y = 2x +3.
Read more on equation of a table;
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