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Artemon [7]
3 years ago
11

Lorenzo rides his bike at a rate 5 yards per second. About how many miles per hour can Lorenzo ride his bike? ( HINT: 1 mike = 1

,760 yards )
Mathematics
2 answers:
prohojiy [21]3 years ago
4 0

Answer:

10.227 miles/hour

Step-by-step explanation:

Lorenzo rides his bike at a rate 5 yards per second.

There are 3600 seconds in 1 hour.

Since Lorenzo rode his bike in 1 second = 5 yards

Therefore, Lorenzo rode his bike in 1 hour =  3600 × 5

                                                                      = 18,000 yards/hour

Since  1 mile = 1,760 yards

Hence 18,000 yards =  \frac{18000}{1760}

                                 = 10.227 miles

Lorenzo rode his bike at 10.227 miles/hour.

Karo-lina-s [1.5K]3 years ago
3 0
About 10. He would go 5 yads per second × 60 to get 300 yards per minute. ×60 to get 18000 yard per hour. Than you divide 18000 by 1760 to get about 10
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Find two consecutive integers whose product is 50
GarryVolchara [31]

n, n+1 - two consecutive integers

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n² + n = 50     <em>subtract 50 from both sides</em>

n² + n - 50 = 0

-----------------------------------------------------

ax² + bx + c =0

if b² - 4ac > 0 then we have two solutions:

[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a

if b² - 4ac = 0 then we have one solution -b/2a

if  b² - 4ac < 0 then no real solution

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n² + n - 50 = 0

a = 1, b = 1, c = -50

b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions

√(b² - 4ac) = √(201) - it's the irrational number

Answer: There are no two consecutive integers whose product is 50.

3 0
3 years ago
Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be ex
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3 years ago
5. How many solutions does this system of equations have?
Diano4ka-milaya [45]

Answer:

\text{\boxed{\sf{D. \ No\  solution}}}

Step-by-step explanation:

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First, you have to substitute of y=-4x-1.

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<u>Add by 4x from both sides.</u>

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