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katovenus [111]
1 year ago
8

If i leave my house at 6:52 am and run 1 mile at an easy pace (8:15 per mile), then 3 miles at tempo (7:12 per mile) and 1 mile

at easy pace again, what time do i get home for breakfast?
Mathematics
1 answer:
FinnZ [79.3K]1 year ago
8 0

Running 2 miles at 8:15 per mile takes 16:30 minutes.

Running 3 miles at 7:12 per mile takes 21:36 minutes.

The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.

You get home for breakfast at 6 seconds past 7:30 am.

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Arlene sleeps for
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Answer:

50.40

Step-by-step explanation:

7 hours and 20 minutes times 7= 50 hours and 40 minutes

And then you have to change it into a mixed number and it is 50.40

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Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
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The graph would almost look like this

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You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.
olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, y = a(1 + r)^{t}, as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

y = 1200(1 + 0.03)^{4}

y = 1200(1.03)^{4}

y = 1200(1.12550881)

y = 1350.610572, which can be rounded to 1350.61 dollars.

Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.

6 0
1 year ago
What type of proof is used extensively in Geometry?
Nikolay [14]

Answer: two-column

Step-by-step explanation:

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If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc
RoseWind [281]

m□ebd=4 x-8 and m□ebc=5 x+20

This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.

∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.

i.e

∠ ebd + ∠ebc = 180°

4 x- 8 + 5x + 20= 180°

adding like terms

⇒ 9 x +12 =180°

⇒ 9 x = 180° - 12

⇒ 9 x = 168°

⇒ x =( 168/9)°=(56/3)°

now  m□ebc =5 x +20

       = 5 × 56/3 + 20

       = 280/3 + 20

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m□ebc=( 340/3)°

So, solution set is x =(56/3)° and  m□ebc =(340/3)°

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