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schepotkina [342]
3 years ago
7

The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers? PLEASE DO NOT GIVE

ME ANSWERS JUST EXPLAIN HOW TO SOLVE.
Mathematics
1 answer:
Contact [7]3 years ago
4 0
Let x and y be the two numbers

Saying "The sum of two numbers is 27" means x+y = 27. The term "sum" is the result of adding. So the first equation is x+y = 27

The second equation is y = x+3 where we assume that y is the larger number of the pair. 

So your system of equations will be
x+y = 27
y = x+3

Use substitution to solve this system. 
x+y = 27
x+( y ) = 27
x + (x+3) = 27 ... notice how y has been replaced with x+3 (since y = x+3)
x+x+3 = 27
Solve for x and then use this to find y. I'll let you finish up.

If you need more help, then please let me know. 
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According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th
jeyben [28]

Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, \mu = 11.7 million ponds/day

Standard deviation, \sigma = 2.8 million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})

P(X\geq 15) = P(Z \geq 1.178)

P(X\geq 15) = 1 - P(Z < 1.178)

Using the Z score table:

P(X\geq 15) = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(Z < - 0.86) - P(Z < - 1.96)

Now, using teh Z score table:

0.1949 - 0.025 = 0.1699

4 0
3 years ago
45. For customers generating their own solar power, ZG&amp;E charges them $3 per month per kilowatt (kWh) for excess electricity
uranmaximum [27]

(A) The customer that owns a 3-kW system exports 120 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

120kWh\times\frac{\$3}{1kWh}=\$360

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

\$20+(120kWh\times\frac{\$0.06}{1kWh})=\$27.2

(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

For ZG&E that collects $3 per kWh on a monthly basis, the monthly bill will be

300kWh\times\frac{\$3}{1kWh}=\$900

For Ready Edison that collects $0.06 per kWh exported energy monthly, the computation of bill will be

\$20+(300kWh\times\frac{\$0.06}{1kWh})=\$38

4 0
1 year ago
A flat rectangular piece of aluminum has a perimeter of 60 inches. The
liq [111]

Answer:

8 inches

Step-by-step explanation:

Let w represent the width.

If the length is 14 inches longer than the width, it can be represented by w + 14.

Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:

p = 2l + 2w

60 = 2(w + 14) + 2w

60 = 2w + 28 + 2w

60 = 4w + 28

32 = 4w

8 = w

So, the width is 8 inches

4 0
3 years ago
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