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Answer:45000,000,000,000

Step-by-step explanation:you just have to times it

Answer :

All values of \( c \), specifically \( c = 49, 100, 144, \) and \( 169 \), can make a polynomial a perfect square trinomial depending on the other terms of the polynomial.

Step-by-step explanation :

1. Understanding Perfect Square Trinomials :

A perfect square trinomial is one that can be written in the form:

\[ (ax + b)^2 = a^2x^2 + 2abx + b^2 \]

From this formula, the value \( c \) would be equivalent to \( b^2 \), and the coefficient of the linear term (the term with \( x \)) would be \( 2ab \).

2. Analyzing Given Options :

  - Option 1 : c = 49

    For \( c = 49 \), \( b^2 = 49 \) which implies \( b = \pm 7 \). The middle term would then be \( 2a(7) = 14a \).

  - Option 2 : c = 100  

    For \( c = 100 \), \( b^2 = 100 \) which means \( b = \pm 10 \). The middle term would then be \( 2a(10) = 20a \).

  - Option 3 : c = 144  

    For \( c = 144 \), \( b^2 = 144 \) which translates to \( b = \pm 12 \). This makes the middle term \( 2a(12) = 24a \).

  - Option 4 : c = 169  

    For \( c = 169 \), \( b^2 = 169 \) which gives \( b = \pm 13 \). Consequently, the middle term would be \( 2a(13) = 26a \).

3. Conclusion :

Without specific details on the polynomial or its middle term, we can deduce that any of the provided options for \( c \) can result in a perfect square trinomial if the linear term of the polynomial matches the \( 2ab \) value corresponding to that \( c \).

Final answer:

The equivalent ratios to 8:12 are 16:24, 24:36, and 32:48. We can find these by multiplying or dividing every term in the ratio by the same positive number.

Explanation:

To find the equivalent ratios for 8:12, we can multiply both the numbers in the ratio by the same value. Let's do this for three different values:

• Multiplying by two will give us 16:24.
• Multiplying by three will give us 24:36.
• Multiplying by four will give us 32:48.

Therefore, the equivalent ratios to 8:12 (or in reduced form, 2:3) are 16:24 (or 2:3), 24:36 (or 2:3), and 32:48 (or 2:3). The key here is to multiply (or divide) every term in the ratio by the same positive number.

Learn more about Equivalent Ratios here:

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The cost of the dog food without the coupon is $20.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

It is given that 4 dollars are 20% of the original price of the dog food. Let's have x be the original price of the dog food.

The cost of the dog food without the coupon is calculated as:-

4=x ( 20 )

To get x alone divide both sides by 20 and solve further.

( 4 / 20 )= ( x ( 20) / 20 )

Solve the above equation by cancelling 20 to get the value of x.

4/20=x

Divide 4 by 20 to get the answer and multiply by the value 100 to get the actual cost of the product.

x = 0.2 x 100 = 20

Therefore, the cost of the dog food without the coupon is $20.

To know more about percentages follow

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