Answer:
A
Step-by-step explanation:
6/24 multiplied by 5/24
Answer:
C
Step-by-step explanation:
|2x - 2| < 8
it implies that
2x - 2 < 8
2x -2 + 2 < 8 + 2
2x < 10
x < 5
or
-(2x - 2) < 8
-2x + 2 < 8
-2x + 2 - 2 < 8 - 2
- 2x < 6
x > -3 ( the sense of the inequality reverse because I divided by minus)
The solution can be combine to
-3<x<5
Answer:
53°
Step-by-step explanation:
It is given that the total measurement of the two angles combined would equate to 116°.
It is also given that m∠WXY is 10° more then m∠ZXY.
Set the system of equation:
m∠1 + m∠2 = 116°
m∠1 = m∠2 + 10°
First, plug in "m∠2 + 10" for m∠1 in the first equation:
m∠1 + m∠2 = 116°
(m∠2 + 10) + m∠2 = 116°
Simplify. Combine like terms:
2(m∠2) + 10 = 116
Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 10 from both sides of the equation:
2(m∠2) + 10 (-10) = 116 (-10)
2(m∠2) = 116 - 10
2(m∠2) = 106
Next, divide 2 from both sides of the equation:
(2(m∠2))/2 = (106)/2
m∠2 = 106/2 = 53°
53° is your answer.
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The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.
Step-by-step explanation:
Let,
Price of one vegetarian special lunch = x
Price of one chicken special lunch = y
According to given statement;
21x+40y=467 Eqn 1
28x+36y=484 Eqn 2
Multiplying Eqn 1 by 28
Multiplying Eqn 2 by 21
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 364
Putting y=8 in Eqn 1
Dividing both sides by 21
The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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Answer:
Step-by-step explanation:
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 1
