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Andrej [43]
4 years ago
9

Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it ta

ke for Erin to run 25 miles?

Mathematics
1 answer:
soldi70 [24.7K]4 years ago
6 0

The correct answer is  c. 2 \frac{1}{2} hours

Explanation:

The graphic shows the relationship between the distance Erin covers by running and the time this requires. Additionally, to know the specific time that takes for Erin to run a specific distance or vice versa it is necessary to observe at which point the two variables intersect in the line of the graph.

According to this, Erin runs 25 miles (y-axis) in 2.5 hours (x-axis), which you can know because in the line shown by the graph the distance 25 miles that is in the middle of 20 and 30 miles intersects with 2.5 hours or the middle between 2 and 3. Additionally, this number can be expressed as 2 and a half hours, 2.5 or even 2 \frac{1}{2} hours because the fraction represents half. This makes option C the answer.

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A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 300 gallons of water leak out in the firs
Over [174]

Answer:

option F

Step-by-step explanation:

given,

capacity of tank = 1000 gallon

volume of water leak = 300 gallon

time = 30 min

water is leaking at the rate

formula used

A = B e^{-kt}

At t = 0   A = 1000 gallons

1000= B e^{-k\times 0}

B = 1000

A = 1000 e^{-kt}

at t = 30        A  = 700

700= 1000 e^{-k\times 30}

e^{-k\times 30}=0.7

taking ln both side

-k\times 30=ln(0.7)

k=-\dfrac{ln(0.7)}{30}

now,

A = 1000 e^{\dfrac{ln(0.7)}{30}t}

A = 1000\times 0.7 e^{\dfrac{t}{30}}

A = 700 e^{\dfrac{t}{30}}

hence, the correct answer is option F

6 0
4 years ago
Calculate the 5th term of the sequence which has this explicit formula: an=3/2n(2n+5), n=1,2,...
Zielflug [23.3K]

Answer:

D. 9 ÷ 2

Step-by-step explanation:

For getting the nth value of the sequence we simply put the value of n in a formula.

In the given sequence for finding the 5th term we simply put n = 5 in given explicit formula:

We have a_{n} = \frac{3}{2n}(2n+5)

Putting n = 5

a_{5} = \frac{3}{2\times5}(2\times5+5)

⇒ a_{5} = \frac{3}{10}(15)

⇒ a_{5} = \frac{9}{2}

Thus, option (D) is correct.

8 0
4 years ago
144 ÷ a = 16<br>Find the value of a.​
Korvikt [17]
9
16x9 equals 144 so 144/9 would be 16
8 0
3 years ago
Read 2 more answers
How do you do 3.)and 3.a)
malfutka [58]
1 cm : 15 yd
Multiply this proportion by 5
5 cm : 75 yd

Multiply the original proportion by 8
8 cm : 120 yd

a) The dimensions of the field are 75 yd by 120 yd.

b) The area is (75 yd)*(120 yd) = 9000 yd^2.
7 0
4 years ago
The equation x + 9/7 = 15 can be solved by performing two operations on both sides
tekilochka [14]

Answer:

Step-by-step explanation:

Multiply both sides by 7

7x + 9 = 105

7x = 96

x = 96/7= 13 5/7

6 0
3 years ago
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