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Daniel [21]
3 years ago
13

Every week Jim runs 8 miles and bikes 12 miles.Write an ordered pair to represent how many miles Jim runs a bikes in 5 weeks.Use

the drop-down menus to complete the sentence!
Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

The ordered pair ( 8,12) can be written as (40,60) for values of r (=x) and

b (=y) for 5 weeks.

Step-by-step explanation:

Every week Jim runs 8 miles and bikes 12 miles.

Let the week be represented by w , running miles by r and biking miles by b

therefore

1w= 8r + 12 b

Multiplying both sides by 5

5(1w= 8r + 12 b)

5(1w) = 5(8r + 12 b )

5w= 40r + 60b

Jim runs 40 miles and bikes 60 miles in 5 weeks

The ordered pair ( 8,12) can be written as (40,60) for values of r (=x) and

b (=y) for 5 weeks.

The answer is written in the form (x, y) where x is written before y in the ordered pair. We treat  running miles as x and biking miles as y.

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One container holds 1 1/7 quarts of water and second container holds 5 3/4 quarts of water how many more harts of water does the
Anna007 [38]

Answer:

129/28 (4.6 approx.)

Step-by-step explanation:

The first hols 1 1/7 quarts, it is: 1 + 1/7

Using 7 as common denominator and summing:

1 + 1/7 = 7/7 + 1/7 = 8/7

The second holds 5 3/4 which is: 5 + 3/4. Using 4 as common denominator:

5 + 3/4 = 20/4 + 3/4 = 23/4

Now we need to know how much greater is 23/4 than 8/7. For comparing them we need to set them to a common denominator. The easiest way is use a number that is multiple of both, 4 and 7, lets us 28. We need to multiply the numerators by the number that, multiplied by denominators gives us 28. For the first is 4, and for the second 7.

8/7 = (8*4)/7*4=32/28

23/4= (23*7)/4*7 = 161/28

Now, we only have to subtract:

23/4 - 8/7 = 161/28 - 32/28 = 129/28

So, the second container has 129/28 more quarts of water (approx. 4.60) than the first.

3 0
4 years ago
You are buying 12-packs of Mountain Dew for $\text{4.50}4.50 each and have a gift card worth $77. The function m\left(x\right)=4
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Answer:

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Step-by-step explanation:

The function is given by :

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Put x = 44 in equation (1), we get :

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Hene, the cost for 44 12- packs of Mountain Dew is $191.

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