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Sunny_sXe [5.5K]
1 year ago
11

The sum of two consecutive even integers divided by four is 189.5

Mathematics
1 answer:
Andre45 [30]1 year ago
6 0
The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380
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the cost of an annual tuition at a university increased from 10,500 to 11,300 what is the percent increase in tuition to the nea
Maurinko [17]
Percent increase
find increase first
10500 to 11300
11300-10500=800
so
percent increase
change/original
origianal=10500
change=800
800/10500=8/105=0.0761
percent means parts out of 100
0.0761/1 times 100/100=7.61/100=7.61%

rond 7.61% to tenth or to 7.6%

7.6%

5 0
2 years ago
How much heat is required to raise the temperature of
Elina [12.6K]

Answer:

The amount of heat required to raise the temperature of liquid water is 9605 kilo joule .

Step-by-step explanation:

Given as :

The mass of liquid water = 50 g

The initial temperature = T_1 = 15°c

The final temperature = T_2  = 100°c

The latent heat of vaporization of water = 2260.0 J/g

Let The amount of heat required to raise temperature = Q Joule

Now, From method

Heat = mass × latent heat × change in temperature

Or, Q = m × s × ΔT

or, Q =  m × s × ( T_2 - T_1 )

So, Q = 50 g × 2260.0 J/g × ( 100°c - 15°c )

Or, Q =  50 g × 2260.0 J/g × 85°c

∴   Q = 9,605,000  joule

Or, Q =  9,605 × 10³ joule

Or, Q = 9605 kilo joule

Hence The amount of heat required to raise the temperature of liquid water is 9605 kilo joule . Answer

4 0
2 years ago
Round 0.8127 to 3 decimal places
Ainat [17]
0.813 is your answer because 7 is higher than 5 which means you have to round it up and not down
4 0
2 years ago
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In the problems below, f(x) = log₂x and
kramer

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

3 0
1 year ago
If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x.
Alika [10]

Answer:

18

Step-by-step explanation:

Supplementary angles means sum of angles is 180.

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4x + 6x + 4 - 4 = 180

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x = 180 / 10

x = 18

4 0
2 years ago
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