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fiasKO [112]
3 years ago
14

Kristan gets home from work at 5:34 p.m.kristan dinner is ready at 5:51pm .How many seconds after kristan gets home is her dinne

r ready
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:1,020

Step-by-step explanation:

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Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.
xeze [42]

Answer:

<u>To prove:</u>

  • (3x + 2)² is  3y + 1

<u>Expand the square:</u>

  • 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1)  + 1 = 3y + 1
  • Proven
8 0
3 years ago
The diameter of a circle has endpoints (2,-6) and (-4,-16).
olga nikolaevna [1]

Answer:

(x + 1)^{2}  + (y + 11)^{2} = 34

Step-by-step explanation:

First find the midpoint of the segment  from (2, -6) to (-4, -16)

((2 - 4)/2, (-6 - 16)/2)

(-2/2, -22/2)

(-1, -11) is the midpoint and is the center of the circle

Now find the distance between the 2 given points and divide by 2 to get the radius of the circle

d = \sqrt{(2 + 4)^{2} + (-6 + 16)^{2}  }

  = \sqrt{6^{2} + 10^{2}  }

  = \sqrt{36 + 100}

  = \sqrt{136}

r = \sqrt{136}/2

r^{2} = 136/4 = 34

Equation of circle with center at (-1, -11) and radius = \sqrt{34} is

(x + 1)^{2}  + (y + 11)^{2} = 34

3 0
3 years ago
I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Valentin [98]

Given:

In a number, adding 1\dfrac{3}{4}, then multiplying the result by 2\dfrac{2}{11} we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

(x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8

(x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8

(x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8

(x+\dfrac{7}{4})\times \dfrac{24}{11}=8

Multiply both sides by \dfrac{11}{24}.

x+\dfrac{7}{4}=8\times \dfrac{11}{24}

x+\dfrac{7}{4}=\dfrac{11}{3}

Subtract \dfrac{7}{4} from both sides.

x=\dfrac{11}{3}-\dfrac{7}{4}

x=\dfrac{44-21}{12}

x=\dfrac{23}{12}

x=1\dfrac{11}{12}

Therefore, the required number is 1\dfrac{11}{12}.

3 0
3 years ago
Emma jogs 2 miles along the beach in
Juli2301 [7.4K]

Answer:

<h3><u>3 times the time --> 3 times the distance</u></h3>

Step-by-step explanation:

Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?

6 0
3 years ago
Read 2 more answers
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
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