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yan [13]
2 years ago
8

It took Michael six hours to drive 312 miles. If he continues at that rate, how long will it take him to drive 520 miles?

Mathematics
1 answer:
Lunna [17]2 years ago
7 0

Answer:

10 hours

Step-by-step explanation:

More time will be required to cover a greater distance given that the speed is constant.

Speed required to drive 520 miles will be ,

\frac{520 \times 6}{312}

= 10 hours

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The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacter
Drupady [299]

Answer:

  • f(x) = 50000*2^x
  • 3 days

Step-by-step explanation:

<u>Given:</u>

  • Initial amount of bacteria = 50000
  • Growth rate = 2 times a day

<u>Required equation:</u>

  • f(x) = 50000*2^x

<u>Solve for x:</u>

  • 400000 = 50000*2^x
  • 2^x = 400000/50000
  • 2^x = 8
  • 2^x = 2^3
  • x = 3

After 3 days bacteria numbers will reach 400000

5 0
3 years ago
A curve has equation y=2/x square root what is dy/dx
Dafna11 [192]

Answer:

dee y by dee x

Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐

8 0
3 years ago
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Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

6x + 24 = 2y + 10 ( subtract 10 from both sides )

6x + 14 = 2y ( divide all terms by 2 )

3x + 7 = y, hence

y = 3x + 7 → C

4 0
3 years ago
Jesse ate 100 donuts in five days. Each day 6 more donuts than the day before. How many donuts did she eat each day?
rusak2 [61]

Answer:

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

Step-by-step explanation:

Over the course of 5 days, she ate 100 donuts, each day eating 6 more than the day before.  Let n be the number of donuts she ate on the first day, then she ate...

Day 1: n donuts

Day 2: n + 6 donuts    

Day 3: n + 12 donuts

Day 4: n + 18 donuts

Day 5: n + 24 donuts

Add the days together and get the equation...

n + (n + 6) + (n + 12) + (n + 18) + (n + 24) = 100

Now combine like terms and solve for n...

5n + 60 = 100

    5n = 40

    n = 8

She ate 8 donuts the first day, 14 on the second, 20 on the third, 26 on the fourth, and 32 on the fifth day

6 0
3 years ago
A shipping crate is packed with unit cubes. The length of the crate is 4
aleksley [76]

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

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Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

7 0
3 years ago
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