8
6/8 = 3/4 pounds
Step-by-step explanation:
Step 1 :
From the number line we can see that
1 bag of grapes has weight of 1/8 pounds
4 bags of grapes has weight of 1/4 pounds
3 bags of grapes has weight of 3/4 pounds
Step 2 :
The total number of bags having a weight of minimum 3/8 pounds is 1 + 4 + 3 = 8
The total weight of bags that has weight of minimum 3/8 pound is
1/8 + 1/4 + 3/ 8
= 1/8 + 2/8 + 3/8 ( L.C.M is 8)
=6/8 =3/4 pounds
Answer:
B
Step-by-step explanation:
they are similar and 7 / 5 = 21 / 15
Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
Answer:
A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.
Step-by-step explanation:
<em>EXAMPLES :</em>
- <em> x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.</em>
- <em>5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.</em>
- <em>(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.</em>
- <em>5x-2 +1 Not a polynomial because a term has a negative exponent</em>
- <em>3x½ +2 Not a polynomial because a term has a fraction exponent</em>
- <em>(5x +1) ÷ (3x) Not a polynomial because of the division</em>
- <em>(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation)
</em>
<h3><em>[Polynomial Equation- is simply a polynomial that has been set equal to]</em></h3>
Answer: 85
Step-by-step explanation:
1. Divide the number of orange sweets by 3.
2. Multiply the quotient by 2.
3. Add the yellow sweets (the answer you get for the 2nd step), by the amount of orange sweets to get your answer.
=> 51 / 3 = 17
=> 17 x 2 = 34
=> 51 + 34 = 85
