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bazaltina [42]
4 years ago
14

Are the ratios 1:2 and 6:3 equivalent?​

Mathematics
2 answers:
LenaWriter [7]4 years ago
7 0

Answer:

No

Step-by-step explanation:

1:2

Multiply by 3 on each side

1*3 : 2*3

3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

Slav-nsk [51]4 years ago
7 0

Answer:

No

Step-by-step explanation:

1:2 is equivalent to 6:12 not 6:3

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What is the greatest common factor of 23 and 9?
Viktor [21]

Answer:

The GCF of 9 and 23 is 1.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area of the rectangle?
Molodets [167]

Answer:

D

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

\sqrt{(x1 - x2) ^{2}  + (y1 - y2)^{2} }

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.

4 0
3 years ago
Use the long division method to find the result when 6x^3 + 19x2^2 + 17x + 3 is
skelet666 [1.2K]

Answer:

\frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = \ 3x^2 \ + \ 5x \ + \ 1

Step-by-step explanation:

Given;

F(x) = 6x³  +  19x²   +   17x   +  3

Factor of F(x) = 2x + 3

Using long division method;

                                   3x²  + 5x  +   1

                                 ------------------------------------

               2x + 3    √  6x³  +  19x²   +   17x   +  3

                             -  (6x³   +   9x²)

                                ----------------------------------------

                                               10x²    +    17x   +  3

                                          -   (10x²     + 15x)

                                             -------------------------------

                                                                  2x   +  3

                                                               - (2x   +  3)

                                                                 ---------------

                                                                         0

Thus, \frac{6x^3 \ + \ 19x^2 \ + \ 17x \ + \ 3}{2x \ + \ 3}  \ = 3x^2 \ + \ 5x \ + \ 1

                       

8 0
3 years ago
Given the revenue function R(x)= 100x −2x^2 (space) 1 ≤ x ≤ 30 and the cost function C(x)= 500 + 9x for a company, find the prof
ziro4ka [17]

well, once you take in all the Revenue from sales, and subtract all the costs that went in for the product, what's leftover is the Profit.

so then, profit P(x), is simply the revenue minus costs, namely P(x) = R(x) - C(x)

R(x)=100x-2x^2\hspace{5em}C(x)=500+9x \\\\\\ P(x)=(100x-2x^2)~~ - ~~(500+9x)\implies P(x)=91x-2x^2-500 \\\\\\ \stackrel{\textit{at a production of 25 units, x =25}}{P(25) = 91(25)-2(25)^2-500}\implies P(25)=\stackrel{2275-1250-500}{525}

3 0
2 years ago
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Aleonysh [2.5K]
Use the Distributive property to solve.
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12n^2-4nm+15mn-5m^2
12n^2+11mn-5m^2

Hope that helps!
3 0
4 years ago
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