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katovenus [111]
2 years 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]2 years 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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Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35
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So for this, this can be written into the equation y=50x+35 (x = number of months, y = total cost).

To solve this problem, we need to plug in 1325 into the y-variable and solve from there.

1325=50x+35

Subtract 35 on each side to get 1290=50x

Then just divide by 50 on each side, and your answer should be 25.8=x


And because we cannot go past budget, we will have to round down to 25. In context, the maximum amount of months Abbey can do is 25 months.
8 0
2 years ago
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Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep
Viktor [21]

<u>Answer:</u>

Consistent and dependent

<u>Step-by-step explanation:</u>

We are given the following equation:

1. 3x+6y-12z=36

2. x+2y-4z=12

3. 4x+8y-16z=48

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with x+2y-4z=12 which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0
1 year ago
A local convenience store in a large city closes each day at 10 P.M. The owner of the store is investigating whether mean sales
Aleksandr-060686 [28]

Answer:

the answer is B

Step-by-step explanation:

cuz i have already take the test

7 0
2 years ago
The owner of a toy store received a shipment of 1552 party favors came in 28 boxes the same number of party favors were in 27 of
klemol [59]

Answer : (13)

Let x be the number of party favors in each (27 boxes)

Let y be the number of favors in last box

Given : total of party favors = 1552

27 boxes + last box = 1552

27x + y = 1552

We divide 1552 by 27, the quotient will be our x and the remainder will be y(number of party favors in last box)

Use long division

= 57 and remainder is 13

the number of party favors in each of (27 boxes) = 57

the number of party favors in last box = 13

So, there are 13 party favors in last box.

Read more on Brainly.com - brainly.com/question/9624402#readmore

3 0
2 years ago
suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above

A=3,670(1+\frac{0.04}{365})^{365*11}  

A=\$5,698.30  

3 0
2 years ago
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