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amid [387]
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



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:
Ierofanga [76]3 years ago
4 0
Its just a matter of subbing in ur answer choices to see what makes the equation true....the 1st one can already be eliminated because width has to be greater then or equal to 10.

when subbed in, only one works :
L = 20, W = 10


Brrunno [24]3 years ago
4 0

Answer:

B

Step-by-step explanation:

L = 20, W = 10

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Step-by-step explanation:

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3 years ago
∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
Mama L [17]

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

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This should be your answer. Have an awesome day! :)

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What is the degree measure of b? A) 29° B) 32° C) 61° D) 64°\
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4 0
3 years ago
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
3 years ago
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