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exis [7]
3 years ago
7

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a max

imum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 10 2l + 2w ≤ 150 On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 10. Everything above the line is shaded. The second line has a negative slope and goes through (0, 75) and (75, 0). Everything to the left of the line is shaded. Which length and width are possible dimensions for the garden? l = 20 ft; w = 5 ft l = 20 ft; w = 10 ft l = 60 ft; w = 20 ft l = 55 ft; w = 30 ft
Mathematics
2 answers:
Rasek [7]3 years ago
7 0

Answer:

In option a, w < 10

in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.

Step-by-step explanation:

katrin2010 [14]3 years ago
5 0

Answer: The correct answer is B: l = 20 ft; w = 10 ft.

i just took the quiz and got it right

hope this helps you (:

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Can someone help me and show the work pls.
Ivan

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(1 & 2/3) ft = 12 inches + 12*(2/3) inches

(1 & 2/3) ft = 12 inches + 8 inches

(1 & 2/3) ft = 20 inches

If the tree grows 5 inches per year, then it will take 4 years to get to 20 inches since 5*4 = 20. You can also divide to get 20/5 = 4.

So it takes 4 years for the tree to grow 1&2/3 feet tall.

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3 years ago
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A notha wun ........
geniusboy [140]
Slope is -1/5

Y-intercept is 21

Equation is y=-1/5x+21

Yes it’s proportional :)
5 0
3 years ago
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The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:
deff fn [24]

Step-by-step explanation:

Given equation of circle is,

{x}^{2}  +  {y}^{2}  - 6y - 12 = 0 \\ by \: compairing \: it \: with \:   \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f=  - 6 \\ or \: f=  - 3 \\ c =  - 12

again the another form of circle is,

{x}^{2}  +  {(y - k)}^{2}  = 21 \\ or \:  {x}^{2}  + {y}^{2}  - 2ky +  {k}^{2}  - 21 = 0 \\ by \: compairing \:it \: with \:  \\ {x}^{2}  +  {y}^{2}   + 2gx + 2fy = 0 \: we \: get  \\ g = 0 \\f =  - k \\ c =  {k}^{2}  - 21

now equating the values of f in both equations,

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4 0
3 years ago
Joan drew a rectangle that is 4 centimeters by 10 centimeters. It has an area of 40 square centimeters and a perimeter of 28 cen
matrenka [14]
Hello!

First you find what numbers give you the same perimeter

9 + 9 + 6 + 6 = 30

5 + 5 + 8 + 8 = 26

7 + 7 + 4 + 4 = 22

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The choice that has the same perimeter is D

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Hope this helps!
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3 years ago
Which situation could be represented by 5 divided by 1/2
valina [46]

Answer:

C: Roman has a 5-liter jug of water. How many half-liter bottles of water can he fill?

Step-by-step explanation:

5 ÷ 1/2

A: Roman has a half liter jug of water. How many 5-liter bottles of water can he fill?   .5 ÷ 5

B: Roman has a 10-liter jug of water. How many half-liter bottles of water can he fill?   10 ÷ .5

C: Roman has a 5-liter jug of water. How many half-liter bottles of water can he fill? 5 ÷ 1/2

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