Step-by-step explanation:
<h2>
<u>Need To Find : </u></h2>
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We're Provided with the , Acceleration (a) , and Force Exerted (F) on a body and , we'll find Mass (m) of the object using the <u>relation</u>
between <u>Force , Mass & Acceleration </u> and, that is :
Answer :
x = -1.43
Explanation :
As given ,
The first box has a height (x+5) has a square base with side x
So, the Length and Breadth of the box are x and x respectively.
Now,
The volume of first box = Length×Breadth×Height
= (x).(x).(x+5)
= x²(x+5)
⇒The volume of first box = x²(x+5)
Now,
Given that , the second box with height (x+2) has a square base with side (x+5).
So, the Length and Breadth of the box are (x+5) and (x+5) respectively.
Now,
The volume of second box = Length×Breadth×Height
= (x+5). (x+5).(x+2)
= (x+5)²(x+2)
⇒The volume of second box = (x+5)²(x+2)
Now,
Given that, the two boxes have the same volume
⇒x²(x+5) = (x+5)²(x+2)
⇒x² = (x+5)(x+2)
⇒x² = x² + 2x + 5x + 10
⇒x² - x² = 7x + 10
⇒0 = 7x + 10
⇒ 7x = -10
⇒ x = -
= -1.43
⇒ x = -1.43
As volume of first box = x²(x+5) = (-1.43)²(-1.43+5) = 7.30 ≈ 7
As volume of second box = (x+5)²(x+2) = (-1.43+5)²(-1.43+2) = 7.26 ≈ 7
At x = -1.43, Volume of both the boxes are same.
Answer:
2<em>x </em>+ 7 = 25
<em>x </em>= 7
Step-by-step explanation:
Gary: 25
Sean: <em>x</em>
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Let's break down the sentence into mathematical terms
Gary <u>is</u> 25 years old. That <u>is</u> 7 more than twice <u>Sean's age.</u>
In math, is means equal to. It is represented with an equal sign (=)
Gary = 25. 25 = 7 more than twice <u>Sean's age.</u>
7 more is represented by 7 +
Gary = 25. 25 = 7 + than twice <u>Sean's age.</u>
Twice means double which is 2 ·
Gary = 25. 25 = 7 + 2 · <u>Sean's Age</u>
<u>Sean's Age</u> will be represented by <em>x</em>
Gary = 25. 25 = 7 + 2<em>x</em>
We don't need it to say<em> "Gary = 25" </em>in our equation.
25 = 7 + 2<em>x</em>
Let's rewrite it with the associative property.
2<em>x </em>+ 7 = 25
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Now, solve
2<em>x </em>+ 7 = 25
<em>-7 -7</em>
2<em>x</em> = 18
<em>÷</em><em>2 </em><em>÷</em><em>2</em>
<em>x </em>= 7
----------------------
Sean is 7 years old.
To answer this question, you need to know how many fluid ounces are in a pint and in a quart. None of the choices reflect 98 fl oz, so I showed the ones that would hold 96 fluid ounces.
1 cup = 8 fl oz
2 cups = 16 fl oz
1 pint = 2 cups, so 1 pint also equals 16 fl oz.
2 pints equal 1 quart, so 16 x 2 = 32 oz (the number of fluid ounces in a quart)
1 pint - 16 fl oz
1 quart = 32 fl oz
Choice A: 3 quarts x 32 =96 fl oz.
Choice B: 2 quarts x 32 = 64 fl oz
Choice C: 2 quarts x 32 + 2 pints x 16 = 64 + 32 (96 fl oz)
Choice D: 1 quart x 32 + 8 cups x 8 = 32 + 64 (96 fl oz)
Choice E: 2 cups x 8 + 2 pints x 16 = 16 + 32 (48 fl oz)
