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NISA [10]
2 years ago
13

Elouise is creating a rectangular garden in her backyard. The length of the garden is 12 feet. The perimeter of the garden must

be at least 36 feet and no more than 48 feet. Use a compound inequality to find the range of values for the width of the garden.
Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer:

Width <= 12

Width >= 6

Step-by-step explanation:

36 <= 2(12) + 2x <= 48

36 <= 24 + 2x

36 - 24 <= 2x

12/2 <= x

x >= 6

24 + 2x <= 48

2x <= 48 - 24

x <= 24/2

x <= 12

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5.6=I+4.09 what is I? I need help I just need answers in the 10 minutes please helpp​
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Answer:

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3 0
3 years ago
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The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?
lisabon 2012 [21]

Answer:

28 and 36.

Step-by-step explanation:

Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.

We need a variable, let x be the variable which is the value of the smaller number.

the equation is x+x+8=64

x= to the smaller number

x+8= to the number that is eight more than x or the smaller number.

Before we isolate for x, we need to simplify the expression by combining the like terms.

x plus x equals 2x.

Therefore, we have 2x+8=64.

Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.

Now, we have 2x=56.

We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.

x=28.

Great, we found what x or the smaller value is.

Now, we need to find the larger number.

Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.

Hope this helps!

4 0
3 years ago
What does the pair of equations y = 3, z = 7 represent? In other words, describe the set of points (x, y, z) such that y = 3 and
earnstyle [38]

Answer:

the pair of equations y = 3, z = 7 represent the intersection of two plans, The set of points is (0,3,7) and the line is parallel to x axis.

Step-by-step explanation:

Consider the provided equation.

y=3 represents a vertical plane which is in xy plane.

Z=7 represents a horizontal plane which is parallel to xy plane

The both planes are perpendicular to each other and intersect.

y=3 and z=7 is the intersection of two plans, where the value of x is zero y=3 and z=7.

The set of points is (0,3,7) and the line is parallel to x axis.

7 0
3 years ago
What value of B makes the expression. x² + Bx + 81 a perfect square trinomial?
Oxana [17]

Answer:

B.) 18

Step-by-step explanation:

To find the correct b value we use this formula

b² - 4ac = 0

b = What we are solving for

a = 1

c = 81

b² - 4(1)(81) = 0

b² - 324 = 0

b² = 324

b = \sqrt{324}

b = ±18

And 18 is one of the answer choices

So B.) 18 is the correct answer.

4 0
3 years ago
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