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
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Answer:
95 0r 91
Step-by-step explanation:
Answer:
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Step-by-step explanation:
As shown you have an equality, not an inequality.
-6x+2=2(5-x) distribute through parenthesis
-6x+2=2(5)+2(-x)
-6x+2=10-2x add 2x to both sides
2x-6x+2=10-2x+2x
-4x+2=10 subtract 2 from both sides
-4x+2-2=10-2
-4x=8 divide both sides by -4
-4x/(-4) = 8/(-4)
x = -2
With the ≥ or ≤ sign you would solve the exact same way
except for the point where when dividing both sides by
-4 requires you to reverse the inequality.
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Answer:
Multiplication of Alzebra
method has been used by Natalie
Answer:
69.73 (units)
Step-by-step explanation:
Let's find the volume of the prism first.
Prism:
The dimensions of this prism are 6 x 5 x 4.
The formula to calculate the volume of this prism is b * h
b = 24 (6*4)
h = 5
V = 24 * 5
V = 120
Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.
Cylinder:
The hole is a cylinder, with a height of 4 and a radius of 2.
The formula for finding the volume of a cylinder is πr^2 * h
r = 2
h = 4
V = (π * 2^2) * 4
V = 50.27
Now, subtract the volume of the cylinder from the volume of the prism:
120 - 50.27 = 69.73
And that is your answer!
Hope this helps!