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gogolik [260]
2 years ago
7

You have a map of Southern California. If the distance between

Mathematics
1 answer:
Rudiy272 years ago
4 0

9514 1404 393

Answer:

  18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

  (distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

  distance to school = (12 miles)(3/2) = 18 miles

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Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
5 0
3 years ago
The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from
makvit [3.9K]

Answer:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

6 0
3 years ago
Use the equation p = 831 where p = pressure and
Inga [223]

Answer:

The lower the volume, the higher the pressure.

Step-by-step explanation:

Volume and pressure are inverse to each other -- so the more pressure, the less volume, and vice versa. Think of it like this: if you were squished into a tiny room, there would be a lot of pressure on you, and not a lot of volume to move in!

You can also think of it numerically. The higher the V in that equation (the higher the denominator) the lower the p in the equation.

6 0
2 years ago
Read 2 more answers
Helppp please if anyone know
zmey [24]
81 - 35+30 (55) = 26 therefore 26cm is ur final answer
7 0
3 years ago
Read 2 more answers
Is 5(b+3) equivalent to 3(b+5)?​
Viktor [21]

Answer:

No, because using the distributive property, you would get 5b+15  and 3b+15. The number of b you have is different.

5 0
3 years ago
Read 2 more answers
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