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Jobisdone [24]
3 years ago
15

Solve each system using elimination.

Mathematics
2 answers:
Tema [17]3 years ago
5 0
Https://www.mathpapa.com/algebra-calculator.html
Sorry i cant answer im in a hurry! BUT ITS A GREAT ALGEBRA CALCULATOR!
Artyom0805 [142]3 years ago
5 0
A) 3x + 3y = 27 ----- (1) 
 x - 3y = -11-------(2)
 Multiplying (2) by 3 we have 3x - 9y = -33 ----(3)
 Subtracting (3) from (1) we have 
 -9y - 3y = -33 - 27
 So y = 5. Substituting value of y into (1) we have 3x + 3(5) = 27. So x = 27 -
15/ 3 = 4.
 B) Also 2x + 4y= 22 ----(1)
  2x - 2y= -8 -----(2)
 Subtracting (2) from (1) we have 
 -2y - 4y = -8 - 22 = -30
 -6y = - 30. Hence y = 5. Substituting into (1) we have 2x + 4(5) = 22. X = 22 - 20/2 = 1
 C) 5x - y = 0 -------(1)
  3x + y = 24 ------(2)
 Adding (2) to (1) we have 
 3x + 5x = 24. X = 24/8 = 3. So y = 5(3) - y = 0. y = 15
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A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula
kvasek [131]

Answer:

The sample proportion of printers used in small business is:

\hat{p}=\frac{25}{70}=0.3571

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

Where:

z_{\frac{0.05}{2}}=1.96 is the critical value at 0.05 significance level

\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }

         0.3571 \pm 0.1122

         \left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)

         \left(0.245,0.469 \right)

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)



7 0
3 years ago
Thomas arrived at the library at 11:45 AMHe left 1 hour 40 minutes laterAt what time did Thomas leave the library?
andre [41]

Answer:

At 1:25 P.M.

Step-by-step explanation:

Thomas arrived at the library at 11:45 AM and he left 1 hour 40 minutes later.

So, 1 hour 40 minutes is equivalent to (60 + 40) = 100 minutes.

Now, after 15 minutes, the time will be 12 P.M.

So, remaining (100 - 15) = 85 minutes i.e. 1 hour and 25 minutes the time will be 1:25 P.M.

Therefore, Thomas leaves the library at 1:25 P.M. (Answer)

6 0
3 years ago
Which pair of equations below is a result of constructing the altitude, h, in traingle ABC?
Korolek [52]

Answer:

sinA = h/c; sinC = h/a

Step-by-step explanation:

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?

sinA= h/c

sinC= h/a

sinA= h/c

sinB= b/c

sinA= b/c

sinC= b/a

Solution:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

Therefore in triangle ABC:

sinA = h/c;  sinC = h/a

4 0
3 years ago
The graph shows your distance from home on a day trip to an apple farm which is 125 miles away. which statement is true about yo
Ghella [55]

Answer: b) it took you 3 hours to reach the apple farm

3 0
3 years ago
Read 2 more answers
If Kayla buys 50 apples for $20 what is the unit rate?
mote1985 [20]

Answer:

2.50 dollars an apple.

Step-by-step explanation:

Divide 50/20

4 0
3 years ago
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