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Mashutka [201]
3 years ago
9

You run 7 1/2 miles as a part of an exercise routine. You run 1/2 of that distance on a hill. You run down a slope for the last

1/3 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

<h3>1 1/4 miles</h3>

Step-by-step explanation:

Amount of miles ran as part of an exercise routine =  7 1/2 miles = 15/2 miles

If you run 1/2 of that distance on a hill, the distance ran on the hill will be;

= 1/2 of 15/2

= 1/2 * 15/2

= 15/4 miles

If You run down a slope for the last 1/3 of the hill, the number of miles that you run down the hill will be;

1/3 of 15/4

= 1/3 * 15/4

= 15/12

= (3*5)/(3*4)

= 5/4

Write 5/4 as a mixed fraction

5/4 = 1 1/4 miles

Therefore you ran 1 1/4 miles down the slope

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3 years ago
Find the value of x y and z below !
ehidna [41]

Answer:

x=67, y=121, z=65

Step-by-step explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:

(y-9)=112\\y=121

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:

(z+3)+112=180\\(x+1)+112=180

Solve the equations:

(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67

To check, add up all 4 angles and check if they sum up to 360 degrees:

x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360

And please ignore the fact that I cannot insert the degree sign :(

8 0
3 years ago
Ill give brainliest
Savatey [412]
C. For sure. Hope it helps
6 0
3 years ago
Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?
hichkok12 [17]
The picture in the attached figure

we know that
the total capacity of the storage container=volume of a cone+volume of cylinder

step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³

step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³

total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³

the answer is
1400 m³

5 0
3 years ago
Pls help with odd problems only pls ​
almond37 [142]

I'm not sure about questions 7-10 tho, very sorry

Step-by-step explanation:

11) 5/7

12) 1/4

13) 7/10

14) 3/4

15) 2/9

16) 2/5

17) 13/30

18) 27/50

19) 5/16

20) 4/15

21) 1/24

22) 7/12

23) 1/20

24) 8/15

25) 11/45

5 0
3 years ago
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