Answer:
3.2 because 16 divided by 5 is 3.2
Sorry my handwriting is so bad!!
The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation
Factorization:
A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.
⇒16y² + 48y=16y(y+4)
G.C.F:
The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)
The highest common factor of 16 and 48 is 16
Therefore, G.C.F of 16 and 48 is 16
Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Learn more about Factorization here:
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Ok so…
The answer is: 15 more marbles
Because
18 divided by 2 is 9
15+9=24
Now Chris has 9
Kevin has 24
24-9=15
Hope this helps:)
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
Answer:
Completely Randomized Design
Step-by-step explanation:
In a completely randomized design, the samples are randomly assigned to the treatment without creating any blocks or groups.
Like here, in the given scenario, we do not have to divide subjects in two groups as they are all same.
Whereas, in a randomized block design, the participants are divided into subgroups in a way, that the variability within the blocks is less than the variability between blocks.
After dividing, the participants within each block are randomly assigned to treatment conditions.
Hence, the completely randomized design is used here.
