Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
= 
= 
Remaining marbles with Williams = m -
= 
He gave marbles to his brother = 
th of the remaining marbles
= 
= 
Remaining marbles after giving marbles to his brother = 120
Therefore, 
m = 
m = 192
Number of marbles with Williams at the starting = 192
Answer:
x=2.17
Step-by-step explanation:
+18x+81=-4
-81 -81
+18x= -85
/18 /18
= -4.7
= 
x= 2.17
I hope this helps :) (if it does, brainliest, please??)
The statement third, “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
<h3>What is a survey?</h3>
A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach.
Number of votes V(n) = 2367
After the value of V(n) 79% of those who responded felt the coach should be fired.
Based on the data given, we can say this is referred to as voluntary response bias. The outcome exaggerates the level of support for firing the coach.
Thus, the statement third “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ1
Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
