Suzette ran for 1.5 hours and biked for 2.5 hours.
a. Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
b. x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
From equation i, x = 4 - y
Put x = 4-y into equation into equation ii
6.5x + 14y = 44.75
6.5(4 - y) + 14y = 44.75
26 - 6.5y + 14y = 44.75
Collect like terms
-6.5y + 14y = 44.75 - 26
7.5y = 18.75
Therefore, y = 18.75/7.5
y = 2.5
Therefore, she bikes for 2.5 hours
Since x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
She ran for 1.5 hours.
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Answer: No
Step-by-step explanation: If flipped 400 times and 222 times are heads, then there is a 55.5% chance it will be heads. If flipped 10,000 times, then there should be 5550 heads.
Answer:
radius = 10
Step-by-step explanation:
The distance from the centre to the point on the circle is the radius r
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (- 5, 6)
r = 
= 
= 
= 
= 
= 10
Answer:
C; 4
Step-by-step explanation:
Mathematically, when two lines are perpendicular, the product of their slopes equal -1
in that case, we have it that;
m1 * m2 = -1
where m1 is the slope of the first line and m2 is the slope of the second line
Hence,
m2* -1/4 = -1
-m2/4 = -1
-m2 = -4
m2 = 4
The answer is 13. The answer is C. The answer is 13
