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Ilia_Sergeevich [38]
3 years ago
5

A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0
Hello,

Assume w the wide and l the length of the rectangle.

w<6 (1)
2l+2w=28==>l+w=14==>w=14-l

(1)==> 14-l<6
==>14-6<l
==>l>8

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3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3
ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

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(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right

\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right

4 0
4 years ago
Solve: -3= 12x-5(2x-7)
leonid [27]

Answer:

x = -19

Step-by-step explanation:

-3= 12x-5(2x-7)

Distribute

-3= 12x-10x+35

Combine like terms

-3 = 2x +35

Subtract 35 from each side

-3-35 = 2x+35-35

-38 = 2x

Divide each side by 2

-38/2 = 2x/2

-19 =x

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3 years ago
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The probability is always expressed as a part of the whole. So, it can be in terms of fraction or percentage. The numerator is the number of possible events while the denominator is the number of total events. Let x be the number of times you roll an odd number. So, the number of times you roll an even number would be 2x. The total rolls would then be x + 2x. Thus, the probability of rolling an odd number is

Probability = x/(2x + x) = x/3x = 1/3


3 0
3 years ago
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GenaCL600 [577]

Final Answer: No Solution

Steps/Reasons/Explanation:

Question: 4(3-  2x) > 2(6-  4x)

<u>Step 1</u>: Divide both sides by 2.

2(3 - 2x) > 6 - 4x

<u>Step 2</u>: Expand.

6 - 4x > 6 - 4x

<u>Step 3</u>: Since 6 - 4x > 6 - 4x is false, we have no solution.

No Solution

~I hope I helped you :)~

6 0
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