Part 1:

1 answer:

7 0

P = 2(L + W)
L = 4/3W

P = 2(4/3W + W) <=== part 1 is D

when P = 28
28 = 2(4/3W + W)
28/2 = 4/3W + 3/3W
14 = 7/3W
14 / (7/3) = W
14 * 3/7 = W
42/7 = W
6 = W....width is 6 inches

L = 4/3W
L = 4/3(6)
L = 24/3
L = 8....length is 8 inches

A = L * W
A = 8 * 6
A = 48 in^2 <==== part 2

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Akimi4 [234]

Figure out slope by using:
(y2-y1)/(x2-x1)

Plug in values:
29.98-15.49/50-25

Simplify:
14.49/25 = 0.5796

Then, use this ratio for the 40 lbs bag. So, then:
40*0.5796 = 23.184

So, your price for the 40 lbs bag should be $23.18 because cents only go up to 2 decimal places (otherwise, it would be $23.184).

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3 years ago

⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

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Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

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Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

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3 years ago

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FromTheMoon [43]

Answer: The total price for ant farm is $12.84

Step-by-step explanation:

The price of ant farm = $ 12

The sales tax on the price = 7%

Noe, 7% of $12 =

⇒The tax amount on the price = $0.84

So, the Taxed amount = The original price + Tax

$ 12 + $0.84 = $12.84

Hence the total price for ant farm is $12.84

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3 years ago

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erik [133]

Using the distribution method:

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x^2 + 4x = x^2 - 4x + 14

Now, I'm isolating x by moving all the x's onto one side of the equation:

x^2 - x^2 + 4x + 4x = 14

Combine like terms (x^2 cancels out):

8x = 14

x = 14/8

Simplified: x = 7/4

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3 years ago

Choose the HCF of 6xy^3 and 9x^2y

snow_tiger [21]

Answer:

3xy

Step-by-step explanation:

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3 years ago