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Rus_ich [418]
3 years ago
12

John ran the 100 m dash with a time of 9.88 sec . If this pace could be maintained for an entire 26 mi marathon , what would his

time be ?
Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

Answer:

approximately 72.35 minutes

Step-by-step explanation:

there are 1609.344 meters in a mile

john ran 100 meter - which would be 16.09 per mile

9.88 seconds x 16.9 = 166.97 seconds per mile

166.97 seconds x 26 miles = 4341.22 seconds

4341.22 seconds / 60 = 72.35 minutes

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 4% vinegar. The chef wants to make 320 mil
gizmo_the_mogwai [7]

Answer: vinegar: 30 mL

Italian dressing: 290 mL

Step-by-step explanation:

100% vinegar + 4% Italian dressing

He wants 320 mL of mix with 13% vinegar → 320*0.13 = 41.6 mL

So, the mixture must have 41.6 mL of vinegar and 278.4 mL of other ingredients of the Italian Dressing (-vinegar). This way:

Let's call Italian dressing x and vinegar y:

4%x + 100%y = 41.6

96%x = 278.4

0.96x = 278.4

x = 278.4/0.96

x = 290

So, 290 mL of Italian dressing.

As he wants 320 of mixture, 320 - 290 = 30 mL of vinegar.

Italian dressing: 290 mL (11.6 mL vinegar)

100% Vinegar: 30 mL

Vinegar = 30 + 11.6 = 41.6 mL

320.13% = 41.6 mL (ok)

               

8 0
3 years ago
Harry drove 5 hours on the freeway. then decreased his speed by 20 miles per hour and drove for 3 more hours on a country road.
SVEN [57.7K]

Answer:

What are the options

Step-by-step explanation:

8 0
4 years ago
What is 4.414*10’9 in standard form
kakasveta [241]

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

7 0
3 years ago
Read 2 more answers
7^1/5 times 49^7/5 equivalent to 7^1/5 times 7^14/5
ale4655 [162]

Answer:

Yes it is equivalent.

Step-by-step explanation:

49^7/5 = (7^2)^7/5

= 7^(2*7/5)

= 7 ^ 14/5.

6 0
3 years ago
A farmer is placing fencing material around her triangular garden. The vertices of her garden are located at the points (−1, 5),
Lilit [14]

Answer:

Cost= \$47

Step-by-step explanation:

Given

Vertices: (−1, 5), (4, 2), and (9, −4)

Cost per foot = $8

Required

Determine the cost of fencing (-1, 5) and (4, 2)

First, we need to determine the distance between (-1, 5) and (4, 2)

Distance, d is calculated as follows:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where

(x_1,y_1) = (-1, 5)

(x_2,y_2) =(4, 2)

So, we have:

d = \sqrt{(4 - (-1))^2 + (2 - 5)^2}

d = \sqrt{(4 +1))^2 +  -3^2}

d = \sqrt{5^2 +  -3^2}

d = \sqrt{25 +  9}

d = \sqrt{34}

d = 5.83095189485

<em />d = 5.831<em> -- Approximated;</em>

If the cost of 1 foot is $8.

5.831 feet will cost:

Cost= 5.831 * \$8

Cost= \$46.648

<em />Cost= \$47<em> -- Approximated</em>

8 0
4 years ago
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