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slega [8]
3 years ago
12

Find the constant of proportionality and unit rate for the data in the table. Then write the equation to represent the relations

hip between time t and distance d
Time Distance
2 hrs 90 miles
3 hrs 135 miles
5 hrs 225 miles
6 hrs 270 miles
I dont understand how to do this kind of math.Please help
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0
You should set up an X and Y table. Make time X and Distance Y. (the table is like a cross: on the left top put x and left top put y. Then under the line list the x and y numbers given in order.) Then find the "slope" which is y/x  (rise over run) then you get the increase rate of 45 mph. The relation between them would be D=45t 
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This is probably easy
Vinvika [58]

Answer:

5 hours

Step-by-step explanation:

Let's express each scenario as a function in a slope-intercept form, y = mx + b,

Where,

y = total amount of water

x = number of hours

m = rate of at which water is drained or filled per hour

b = initial quantity of water in the tank

✔️Equation for Tank A:

m = 2 gallons/hour = 2

b = 100 gallons = 100

Substitute m = 2 and b = 100 into y = mx + b:

y = 2x + 100

✔️Equation for Tank B:

m = 6 gallons/hour = -6 (this is negative 6 because water drains)

b = 140 gallons = 140

Substitute the values into y = mx + b

y = -6x + 140

✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.

2x + 100 = -6x + 140

Collect like terms

2x + 6x = -100 + 140

8x = 40

Divide both sides by 8

x = 40/8

x = 5

Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.

3 0
2 years ago
Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?
givi [52]
His pickup will need 2 gallons of gas
7 0
3 years ago
What is 0.782 rounded to the tenths
pochemuha
It would be 0.780 because the 2 is not higher than a 5.



remember this saying... 5 or more add 1 more 4 or less just ignore
6 0
3 years ago
Pls give answer for 9c thanks
harina [27]

Answer:

probability for 3 on a dice (P3) in one dice =

\frac{1}{6}

probability for even no. of a dice (Pe) =

\frac{3}{6}  =  \frac{1}{2}

Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe

=  \frac{1}{6}  +  \frac{1}{2}  =  \frac{1 + 3}{6}  =  \frac{4}{6}  =  \frac{2}{3}

7 0
1 year ago
Help Please!
Vesna [10]

Answer:

y=3x

Step-by-step explanation:

I took the test

8 0
3 years ago
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