A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t. A g= 0.4t
B t= 0.4G
C g=2.5t
D t=2.5g
E g= 2/5 t
Answers
The correct options are (A), (D) and (E).
What is a linear equation?
A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Given that,
The time taken to fill 2 gallon bucket is 5 seconds.
Suppose the number of gallons be g.
And, the time in seconds is t.
The given options are considered one by one for the given case as,
(A) g = 0.4 t
Substitute g = 2 and t =5 in the above expression to get,
LHS = 2
RHS = 0.4 × 5
= 2
Since LHS = RHS, the given option represent the proportional relationship.
(B) t= 0.4g
Substitute g = 2 and t =5 in the above expression to get,
LHS = 5
RHS = 0.4 × 2
= 0.8
Since LHS ≠ RHS, the given option does not represent the proportional relationship.
(C) g=2.5t
Substitute g = 2 and t =5 in the above expression to get,
LHS = 2
RHS = 2.5 × 5
= 12.5
Since LHS ≠ RHS, the given option does not represent the proportional relationship.
(D) t = 2.5g
Substitute g = 2 and t =5 in the above expression to get,
LHS = 5
RHS = 2.5 × 2
= 5
Since LHS = RHS, the given option represents the proportional relationship.
(E) g= 2/5 t
Substitute g = 2 and t =5 in the above expression to get,
LHS = 2
RHS = 2/5 × 5
= 2
Since LHS = RHS, the given option represents the proportional relationship.
Hence, the correct relationship is represented by options (A), (D) and (E).
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Answer:
I beleive it should be
A. g = 0.4t
And
D. t = 2.5g
Sorry if i'm wrong though! Let me know if is correct!
Related Questions
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AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67 miles, determine the distance between points A and B.
Answers
Answer:
a) For this case we can use the definition of weighted average given by:
And if we replace the values given we have:
b)
c)
Step-by-step explanation:
Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.
a) What is the mean for the combined set if both of the original samples have n=4 scores"
For this case we can use the definition of weighted average given by:
And if we replace the values given we have:
b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5
Using the definition we have:
c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3
Using the definition we have:
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
Answers
Answer:
bb
b
b
b
b
b
b
b
b
b
b
b
b
b
it is b
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answers
Answer:
13 miles
Step-by-step explanation:
Add all of the number of miles you ran from each day to get your total mileage.
2+2+3+2+4
Answers
Answer:
Step-by-step explanation:
At a pay of 12$ per hour at 8 hours a day you will make 94$ a day or 658$ a week.
should Daryl move his plant to a warmer location before leaving?
An inequality to model the problem is
The solution is
Answers
Answer:
yes.
Step-by-step explanation:
if he's gone for EXACTLY 6 hours, the plant will be at -10°C when he returns. However, it's stated that he plans to be gone for AT LEAST 6 hours, which means he should probably put the plant indoors or somewhere warmer so he doesn't have to rush home.
Answers
Answer:
Sn is independent of b
Step-by-step explanation:
t1=a-b
tn=a+b
we know that nth term of arithmetic series is an=a1+(n-1)d
so
a+b=a-b+(n-1)d
⇒2b=(n-1)d-----------equation 1
formula for sum of n terms of arithmetic series
Sn=(2a1+(n-1)d)
⇒Sn=(2(a-b)+2b) (since (n-1)d=2b from equation 1)
⇒Sn=(2a)
therefore we can see that Sn is independent of b