Answer:
Equation 1: 7x + 2y = 12.8
Equation 2: 6x + 3y = 12
Cost of 1 apple: $1.60
Cost of 1 orange: $0.80
Cost of 1 orange: $Step-by-step explanation:
Let's use the elimination method to solve this
Multiply equation 1 by 3
(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4
Multiply equation 2 by -2
(6x + 3y = 12) x -2 = -12x - 6y = -24
The x terms will cancel each other out
21x + 6y = 38.4
-12x - 6y = -24
9x = 14.4
Divide by sides by 9 to isolate the x variable
9x/9 = 14.4/9
x = 1.6
This means an apple costs $1.60
Plug the new x into one of the original equations to find y; we'll use equation 1
7(1.6) + 2y = 12.8
11.2 + 2y = 12.8
Subtract 11.2 from both sides
11.2 + 2y = 12.8
- 11.2 - 11.2
2y = 1.6
Divide both sides by 2
2y/2 = 1.6/2
y = 0.8
This means an orange costs $0.80
Answer:
C,D,E
Step-by-step explanation:
The answer depends on how far into the process you go and your properties
Answer:
x = -27
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(5 • (x + 3)) - 4 • (x - 3) = 0
Step 2 :
Equation at the end of step 2 :
5 • (x + 3) - 4 • (x - 3) = 0
Step 3 :
Equation at the end of step 3 :
x + 27 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : x+27 = 0
Subtract 27 from both sides of the equation :
x = -27
One solution was found :
x = -27
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Answer:
17.32 + 10i
Step-by-step explanation:
The product of the complex numbers;
z, = 5( cos 20° + i sin 20°)
za = 4( cos 10° + i sin 10°)
5( cos 20° + i sin 20°) × 4( cos 10° + i sin 10°)
= 20(cos20(cos10) + i sin20(cos10) + i sin10(cos20) + isin20(i sin10))
= 20(cos20(cos10) + i sin20(cos10) + i sin10(cos20) + sin20(sin10)i^2 )
And i^2 = -1
= 20(cos20(cos10) + i sin20(cos10) + i sin10(cos20) - sin20(sin10) )
= 20(cos20(cos10) - sin20(sin10) + i(sin20(cos10) + sin10(cos20)))
= 20(0.866 + i(0.5))
= 17.32 + 10i
You would plug in your answers and the equation would become 4(7)-(3*-2)=34. You should have known this if you are in high school.