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Natalija [7]
3 years ago
10

Three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm

aller of the two numbers
Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

7

Step-by-step explanation:

let the 2 numbers be x and y with y > x, then

y - 3x = 3 → (1)

x + y = 31 → (2)

Rearrange (1) expressing y in terms of x by adding 3x to both sides

y = 3 + 3x → (3)

Substitute y = 3 + 3x into (2)

x + 3 + 3x = 31, that is

4x + 3 = 31 ( subtract 3 from both sides )

4x = 28 ( divide both sides by 4 )

x = 7

and y = 3 + (3 × 7) = 3 + 21 = 24

The smaller of the 2 numbers is 7

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Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
a_sh-v [17]

Answer:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = \frac{9}{5} θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = -36.14^{o}C

⇒ F =  \frac{9}{5} x -36.14^{o} + 32

      = -33.052^{o}F

The boiling point = 324.84^{o}C

F =  \frac{9}{5} x  324.84^{o} + 32

  = 616.712^{o}F

The melting point of the substance is -33.052^{o}F, and boiling point is 616.712^{o}F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

3 0
3 years ago
Someone please help asap
andrew-mc [135]

Answer:

the second one

Step-by-step explanation:

because g(x) and f(x) is bout the same

6 0
3 years ago
Tbh I'm just too lazy to actually do this and my head hurts from the rest of my school work so I'm just asking it on here -2/5 +
Leto [7]

Answer:

1/10

Step-by-step explanation:

-2/5 + 1/2

-4/10 + 5/10

-4 + 5/10

= 1/10

Hope this helps!

6 0
3 years ago
Read 2 more answers
Hey can someone help me
enyata [817]

Answer:

602.88in²

Step-by-step explanation:

Formula for finding the volume of oblique triangle is expressed as

A = πr²h

Given

radius r = 4in

height h = 12in

Substitute

A = π*4²*12

A = 3.14*16*12

A = 3.14 * 192

A = 602.88in²

Hence the area of the cylinder is 602.88in²

5 0
3 years ago
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission ti
sashaice [31]
It would be 148 general admissions tickets. If you want the work you can comment.
8 0
3 years ago
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