Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
Answer: 9 1/3 - 2/3 = 8 2/3 .
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Note: If the answer were "8 1/3" ;
then: "8 1/3 + 2/3 =? 9 1/3 ? "
→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
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So the answer has to be MORE than "8 1/3"
Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;
→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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So, the answer is: "8 2/3" .
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Another method:
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Given the problem: "<span>9 1/3 - 2/3 " ;
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Note that: "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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Start with: "</span>9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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</span>Another method:
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Given the problem:
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"9 1/3 - 2/3 = ?? " ;
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Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
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So, we rewrite as:
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28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
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Answer:
7
Step-by-step explanation:
4/2 = 14/x, cross multiply and simplify, x=7
Answer:
-18
Step-by-step explanation:
Let x be our number. First we have to write our equation.
The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.
The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.
So our equation is:
-8x = 8(x + 36)
We can now solve for x. First, expand the bracket.
-8x = 8x + 288
Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.
-8x - 8x = 8x + 288 - 8x
-16x = 288
Divide both sides by -16
x = -18
Answer:
14 1/4
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
