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Naily [24]
3 years ago
11

What is the solution to the system of equations below? x = 5y - 2 AND 3x - 4y = 27 *

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

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In a camp ,140 students from school A,70 students from school B, 105 students from school C, and 35 students from school D, part
Schach [20]
Total no. of students - 140 students
Total no. of students from all schools= 140+70+35+105=350
school A= 140÷350×100=40./. (multiplying by 100 because it's the total percentage )
School B = 70÷350×100=20./.
School C = 105÷350×100=30./.
School D = 105÷350×100= 10./.
Consisting all the schools percentage it gives 100./.

Hope this helps
7 0
3 years ago
Please help me out please!!
Greeley [361]

Answer:

yeeet

Step-by-step explanation:

5 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
klio [65]
The formula for finding area of a circle is \pi r^2 . 

Essentially, we have two circles here. One is a larger outer circle, and the other in a smaller inner circle. In order to find the area of the sidewalk, we must find the area of the outer circle, then find the are of the inner circle. After we find both areas, we subtract. 

See attached image for process of finding area, and subtracting areas to find the final area of the sidewalk. 

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%
timurjin [86]

Answer:

Proved

Step-by-step explanation:

cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\

Take the Left Hand Side:

cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2  \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\

\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\

\frac{1}{2}(1+\frac{1+cos4\alpha }{2})

\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\

Hence Proved!

The following identities were used are attached in an image

3 0
3 years ago
5/8 divided by 1 1/3
ElenaW [278]

(5/8) / (1 1/3) = 0.46875 in decimal form

And 15/32 in fraction form

8 0
4 years ago
Read 2 more answers
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