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grigory [225]
2 years ago
10

Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s

he slowed down to a walk. Annie walked for 1/2 of the remaining distance and then ran again for the rest of the way. How far did Annie walk? Write the answer as a simplified fraction.
Mathematics
1 answer:
qwelly [4]2 years ago
5 0

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

=23 / 12

= 1 11/12

Annie walked 1 11/12 miles

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Ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?
Hatshy [7]

Answer:

Ramon would need 27 bags

Step-by-step explanation:

This is because if you divide 6.75 by 0.25 you would get 27

5 0
2 years ago
At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve
stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

<em><u>Solution:</u></em>

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

y-y_1 = m(x-x_1)

Where, "m" is the rate of change

(x_1, y_1) is the sample point

From given,

m = 12

(x_1, y_1) = (4, 68)

Therefore,

y - 68 = 12(x-4)

y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

<em><u>Find the cost to rent the canoe for 7 hours</u></em>

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

4 0
2 years ago
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.
miskamm [114]
Keep in mind its been a while since i did this type of work lol.....

did you try to draw it out on a grid paper....what will be helpful is if you got the coordinates and put the points down and then if you connect the dots you get your shape now you will count the unis in which the width and length is timed. so like if you had grid and it gave you coordinates and you did all that now you will count how many units is in the width and how many in the length. 
 but your best answer might be 14 units x 4 units

3 0
2 years ago
Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than
Nastasia [14]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years) , Lily (15 years)

Step-by-step explanation:

Age of Tia = 8 years

______________________________________________

Given Tia is  2 years older than Pam

mathematically

age  of Pam + 2 years = age of Tia

age  of Pam + 2 years = 8 years

age  of Pam  = 8 years- 2 years = 6 years

______________________________________________

Given Pam is five years younger than Veronica

we can infer that age of veronica is age of Pam + 5 more years

mathematically

age  of Pam + 5 years = age of Veronica

6 years + 5 years = age of Veronica

age  of Veronica   = 11 years

______________________________________________

Given Veronica is four years younger than Lily

we can infer that age of Veronica is (age of Lily - 4  years)

mathematically

age of Veronica = age of lily - 4 years

11 years = age of lily - 4 years

age of lily = 11 years + 4 years = 15 years

age  of lily   = 15 years

______________________________________________

Arranging the list from youngest  to oldest we have

age  of Pam  = 6 years

Age of Tia = 8 years

age  of Veronica   = 11 years

age  of lily   = 15 years

Arranging sisters in order of youngest  to oldest

Pam, Tia, Veronica , Lily

3 0
2 years ago
A teacher decides to purchase a new car and considers two options. Option one is the new Zoomba for $60,000 with an expected dep
kupik [55]

Answer:

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option.

The final value for option 2=$32,800

Step-by-step explanation:

Option 1

New Zoomba for 60000 with a depreciation rat of 2%per month for 3 years

Exponential equation;

y=a(1-r)^t

where;

y=future value

a=initial value=60000

r=depreciation rate=2% per month

t=time interval=12×3=36 months

Replacing;

y=60000(1-2/100)^36

y=60000(0.98)^36=28,992.79

The value after 3 years=$28,992.79

Initial value-Final value=(60000-28992.79)=$31007.21

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(31007.21/60000)×100=51.68%

Option 2

New starfish for $40,000 with a depreciation of $200 per month for 3 years

Linear equation;

y=a-bt

where;

y=Future value

a=Initial value=$40,000

b=the depreciation amount per time interval=$200 per month for 3 years

t=time interval=(3×12)=36 months

Replacing;

y=40000-(200×36)

y=32,800

Final value=y=$32,800

Initial value-Final value=(40000-32800)=$7200

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(7200/40000)×100=18%

Option 1(51.68%)>Option 2(18%) therefor Option 1 loses value at a faster rate than Option 2

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option

4 0
2 years ago
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