Write an expression that represents the perimeter, in centimeters, of the triangle.
Show all work.
PART B:
Write an equivalent expression to represent the perimeter from PART A. by factoring out the greatest common factor.
Show all work.
IF ANSWER BOTH I WILL GIVE BRAINIEST
Answer:
Step-by-step explanation:
Part A : Since sides of triangle are ( 1.9x + 6.2y )cm
(2.5x + 8.3w)cm and (1.6w - 5.1y)cm.
Now perimeter of a triangle = sum of all sides length
Perimeter = (1.9x + 6.2y) + (2.5x + 8.3w) + (1.6w - 5.1y)
= (1.9x + 2.5x) + (6.2y - 5.1y) + (8.3w + 1.6w)
[ collecting the like terms together ]
Perimeter = 4.4x + 1.1y + 9.9w
Part B : Now we factorize the term for perimeter given in part A.
Perimeter = 1.1 (4x + y + 9w)
So equivalent factor will be (1.1 (4x + y + 9w).
Answer:
see explanation
Step-by-step explanation:
A
The perimeter is the sum of the 3 sides, thus summing the 3 sides
1.9x + 6.2y + 2.5x + 8.3w + 1.6w - 5.1y ← combine like terms
= 4.4x + 1.1y + 9.9w ← expression for perimeter
B
Factor out 1.1 from each term, thus
4.4x + 1.1y + 9.9w
= 1.1(4x + y + 9w) ← perimeter in factored form
The equation for the given phrase is 6x-9=-15 and the solution for the obtained equation is -1.
The given phrase is "nine less than six times a number is -15."
Let the unknown number be x.
Here, six times a number = 6x
The product is less than 9, that is
6x-9
Nine less than six times a number is -15, so the equation is
6x-9=-15
Now, the solution is
6x=-15+9
6x=-6
x=-6/6
x=-1
Therefore, the equation for the given phrase is 6x-9=-15 and the solution for the obtained equation is -1.
To learn more about an equation visit:
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Hello!
6 - 9 × y = -15
When "less than" is used you switch the number before it the number after it. While it seems like it would be 9 -6, its actually 6-9
6 - 9 is -3, you can multiply 3 by 5, to get 15. So your answer would be 5
Hope this helps!
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The unsimplified ratio of raisins to mixed nuts in the trail mix is:
4/15 to 1/3
To simplify this, it is easiest to make 1/3 into an equivalent fraction with the denominator 15 by multiplying both the numerator and the denominator by 5.
1 * 5 / 3 * 5 = 5 / 15
If we substitute in this new value, our ratio is:
4/15 : 5/15
Because both of these fractions have the same denominators, we can just compare their numerators, so we can simplify our ratio to be:
4:5
Therefore, your final answer is a 4:5 ratio of raisins to mixed nuts.
Hope this helps!
Answer
The problem is asking us to determine thew ratio of raisins to mixed nuts in the simplest form.
Solution & detailed explanation
Let's start.
We have two fractions here.
We would need to simplify both of the fractions, the LCM of both fractions is 15.
Since we now have the same denominators we could convert this into a ratio.
4:5
Therefore, the ratio of of raisins to mixed nuts is 4:5
I think a bar graph because it is more accurate. please help and tell me why you chose the one you chose.
This is the graph:
1998 45 in sales
1999 5 in sales
2000 15 in sales
2001 30 in sales
2002 50 in sales