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3 years ago

If x+y = 2y-x+1=5 pls can you give me a well explained solution

Mathematics

1 answer:

ohaa [14]3 years ago

8 0

Answer:

Solution : x = 2

y = 3

Step-by-step explanation:

x+y = 2y-x+1=5

x + y = 5 --------> equ 1

2y - x +1 = 5

2y - x = 5 - 1

2y - x = 4

-x + 2y = 4--------> equ 2

add equ 1 & equ 2

3y =9

y = 9/3 = 3

Put y = 3 in equ 1

x + 3 = 5

x = 5 - 3 = 2

Solution : x = 2

y = 3

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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180

dezoksy [38]

Answer:

28.3 minutes
53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

<h3>application</h3>

For the given scenario, we find ...

a = room temperature = 20 . . . . degrees C

b = (180 -20) = 160 . . . . degrees C

c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

Solving for t when f(t) = 80, we find ...

80 = 20 +160(1/2)^(t/20)

3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

f(45) = 20 +160(1/2)^(45/20)

f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0

1 year ago

Read 2 more answers

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

irakobra [83]

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

$z=\frac{x-\mu}{\sigma}$ the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

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3 years ago

Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec

charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

2³ × 2⁻⁴ = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

$2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5$

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

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2 years ago

Multiply.<br> Your answer should be a monomial in standard form.<br> (-9n^3)(n^3)

ratelena [41]

Answer:

-9n^6

Step-by-step explanation:

(−9n^3)(n^3)

=(−9) * n^3 * n^3

=−9 * n^6

=−9n^6

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3 years ago

HELP NEEDED!<br><br> Evaluate: 8 + -12 - -12/2

svp [43]

Answer:

Step-by-step explanation:

because if 8+-12= about-4 so if you have a negative number plus a positive it equals a negative number then you have -4 minus -12 equals a positive is 8 because if its negative and negative it equals a positive number then you have 8/2 and it equals 4 because that slash is a divided sign all together it is 8+-12-(-12)/2=2

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3 years ago

Read 2 more answers

If x+y = 2y-x+1=5 pls can you give me a well explained solution​

If x+y = 2y-x+1=5 pls can you give me a well explained solution