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Answer:
Length = 10.5 m, width = 7 m.
Step-by-step explanation:
Given:
Perimeter, or P = 35 m
Ratio of l to w = 3 : 2
Since the ratio is 3 : 2, let l = 3x, and w = 2x.
We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:
35 = 2(3x) + 2(2x)
35 = 6x + 4x
35 = 10x
x = 3.5
Plug this value of "x" into each expression to solve for the dimensions:
2(3.5) = w
w = 7 m
3(3.5) = l
l = 10.5 m
Therefore, the dimensions are:
Length = 10.5 m, width = 7 m.
<h3>The number of pears Amy has is 16.</h3>
Step-by-step explanation:
Let J represent the number of pears Josh has.
Let L represent the number of pears Leya has.
Let A represent the number of pears Amy has.
From the question given above,
Josh (J) = 4 × Leya (L)
J = 4L ....... (1)
Leya (L) = ½ × Amy (A)
L = ½A ........ (2)
Next, we shall determine the number of pears Leya has. This can be obtained as follow:
From equation 1
J = 4L
But
Josh (J) = 32 pears
Thus,
32 = 4L
Divide both side by 4
L = 32 / 4
<h3>Leya (L) = 8 pears </h3>
Finally, we shall determine the number pears Amy has. This can be obtained as follow:
From equation 2
L = ½A
But
Leya (L) = 8 pears
Thus,
8 = ½A
Cross multiply
A = 8 × 2
<h3>Amy (A) = 16 pears </h3>
Therefore, Amy has 16 pears.
Learn more: brainly.com/question/20971657
Answer:
Step-by-step explanation:
<u>The quadratic equation in factored form:</u>
- a(x - α)(x - β), where a- leading coefficient, α and β - roots
<u>We have:</u>
<u>Substitute them to get:</u>
<u>Converting this into standard form:</u>
- 3(x - 1)(x + 2) =
- 3(x² + x - 2) =
- 3x² + 3x - 6
Answer:
the answer is going to be D. (3,4,5,8,9,3)
Answer:
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