$3,200.00×3=$9,600.00
$9,600.00×.06=$10,176.00
$10,176.00×4=$40,704.00
Answer: No, Asher is incorrect. Instead of subtracting 4 from both sides, you should divide by 4. As a result, x should equal 16, not 60.
Divide by 4 to both sides.
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
Part A: Write an expression that Robie can use to determine how much black pepper is needed for 6 batches.
The first thing you should know in this case is the amount of pepper available and the amount of black pepper in each batches.
Available = s 2/3 teaspoon
Batches = 1/8 teaspoon
Let
x = number of batches:
y = black pepper
The expression is then:
y = 1/8x
0 <= x <= 6
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Part B: Draw a Model to show how Robbie can find the product from Part A (do not say how to draw the model just say how to solve the expression in Part A.)
You must graph the line of part A:
y = 1/8x
Then, check for x = 6 the value of y to know how much black pepper is needed for 6 batches.
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Part C: Does Robbie have enough black pepper for 6 batches of the soup? Explain your reasoning. (<--- PLEASE EXPLAIN.)
Substituting x = 6
y = 1/8 (6)
y = 6/8
y = 3/4
3/4> 2/3
Robbie has not enough black pepper for 6 batches of the soup
Volume = <span>πd^2h/4
245 = </span><span>π x d^2 x 5/4
d^2 = (245 x 4)/5</span><span>π = 62.39
d = sqrt(62.39) = 7.9 units
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