Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

Answers

Answer 1

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

[tex]x \le 18[/tex]

Step-by-step explanation:

Given

[tex]Border\ Material = 72[/tex]

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

[tex]4y = 72[/tex] -- i.e. the perimeter of the border material

Solve for y

[tex]y =\frac{72}{4}[/tex]

[tex]y =18[/tex]

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

[tex]x \le y[/tex]

Substitute [tex]y =18[/tex]

[tex]x \le 18[/tex]


Related Questions

An animal rescue center has an adoption event. People adopt 84 animals at the event, which is 70% of the animals at the center. How many animals were at the center before the adoption event? Explain your reasoning

Answers

Answer:

120

Step-by-step explanation:

Find how many were there before the adoption event by dividing 84 by 0.7

84/0.7

= 120

So, there were 120 animals before the adoption event

Help
Determine which is the better buy. Show all work! Explain.

Hand soap: A B
Cost: 1 4

Ounces 8 50

Answers

Answer:

Soap A is a better buy.

Step-by-step explanation:

Soap A is 1 dollar with 42 more ounces.

Soap B is 4 dollars with 42 ounces less.

You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.

Let me know if that helps!

what is 15 times 3 by 7

Answers

Answer:

6.42857142857

Step-by-step explanation:

Answer:

6 3/7

Step-by-step explanation:

4
What is the value of k in the equation shown below?
3k - 5 = 0.8k + 3(2- k) + 4.6
F k = -2
G k = -3
H K = 3
J K = 7

Answers

Answer:

H. k = 3

Explanation:

3k - 5 = 0.8k + 3( 2 - k ) + 4.6

30k - 50 = 8k + 30( 2 - k ) + 46

30k - 50 = -22k + 106

30k = -22k + 156

52k = 156

k = 3

Answer this question to get marked as barinliest!!!!

Answers

Area of circle: pi * r^2
Given: pi = 3.14, r = 5
Area: 3.14 * 5^2
3.14 * 25 = 78.5

Solution: 78.5 square units

In the given figure x = 145º. What theorem can be used to prove the lines p and a
are parallel?
A) Alternate interior angles converse theorem
B) Same side interior angles converse theorem
C) Alternate exterior angles converse theorem
D) Corresponding angles converse theorem

Answers

Answer:

C) Alternate Exterior Angles Converse Theorem

Step-by-step explanation:

A small business office uses 1,613 pieces of paper every 4 days. Which is a reasonable estimate for the pieces of paper the business office uses in 7 days?
A)6,400
B)11,200
C)2,800
D)3,200

Answers

Answer:

The answer is c.

Step-by-step explanation:

Hope this helps =)

Answer:

C. )2,800

Step-by-step explanation:

A local hamburger shop sold a combined total of 375 hamburgers and cheeseburgers on Friday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday? hurry please lol

Answers

Answer: 225 hamburgers were sold on friday

Step-by-step explanation:

Let x represent number of hamburgers

and x-75 represent cheeseburgers

such that total hamburgers and cheeseburgers sold on Friday equaling 375 can be represented as

x + (x-75) =375

2x-75=375

2x=375+75

2x =450

x=450/2=225

Hamburgers =225

cheeseburgers= x-75=225-75=150

nothing.abjrlqgruqerqeregdg

Answers

blank.jaiagaiksbzhzbaagavajkdbd

4600 X 1.04 to the power of 7?????

Answers

Answer:

6053.28618448

no is the power of 6

Answer:

4784 to the power of 7

Step-by-step explanation:

i'm not sure if i interpreted what you wrote correctly, but if its ((4600*1.04)to the power of 7), then my answer would be correct.

if it was 4600*1.04 (where 1.04 would be to the power of 7), then the answer would be about 6053.28618, or 4600*26 to the power of 7/ 25 to the power of 7

answer but no links. quickly please

Answers

Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

Find the surface area of the triangular pyramid

Answers

Answer:

[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]

Jaxon built a treehouse with a base of 12 square yards. The volume of his treehouse was 108 cubic yards, how tall is the prism? Explain your answer.​

Answers

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

To learn more about: volume of rectangular prism

Ref: https://brainly.com/question/28060173

#SPJ2

please help!! and please show work if possible! :)))

Answers

Answer:

Step-by-step explanation:

No they are not similar triangles.

In similar triangles, corresponding side will be in same ratio.

[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]

Corresponding sides are not in same ratio. So these are not similar triangles

please factor this 9a² + 12ab + 4b²​

Answers

Answer:

(3a + 2b)(3a + 2b)

Step-by-step explanation:

9a² + 12ab + 4b²​

(3a + 2b)(3a + 2b)

Answer:

(3a+2b)(3a+2b)

Step-by-step explanation:

=9a^2 + 12ab + 4b^2

=9a^2 + 6ab + 6ab +4b^2

=3a(3a +2b) + 2b(3a + 2b)

=(3a + 2b) (3a + 2b)

This is science btw(i couldn't find the category so i put a popular category lol). Offering brainliest!!!

Answers

Answer:

1. Abiotic is the third answer

2. Biotic is the first answer

3. flora is the second answer

4. fauna us correct

Step-by-step explanation:

If        

what is the equivalent to​

Answers

Answer:

2^(5/2)

Step-by-step explanation:

2^0 = 1, so the given expression immediately becomes

 2^3

------------ = 2^(5/2)     (we subtract 1/2 from 3, obtaining 5/2)

 2^(1/2)

Amanda buys 4 tickets to the baseball game for $24 each. Which equation
shows the closest estimate of the total amount Amanda spends?

Answers

Answer:

4x24

Step-by-step explanation:

Answer:

4x24= 96, Amanda spends 96 dollars on tickets

Step-by-step explanation:

4x24=96

4 tickets x 24 dollars each

4x24

96

Determine if the two triangles are congruent. If they are, state
the condition.

Answers

It’s Side-Angle-Side

A circular lake has a circumference of 24 miles. To the nearest hundredth of a mile, what is the radius of the lake?

Answers

Answer: 45.84, or 46 miles rounded up

HOPE THIS HELPS

HELPPP DUE IN 10 more min PlEaSe NO LINKS!

Answers

9-4 and 9+(-4) I believe

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

Hey There!

The Answer = 2

[tex]5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2[/tex]

Answer:

x=2

Step-by-step explanation:

5(2x+2)=20

5(4)=20

20=20

Solve for x in the following equations: 9x + 10y = 17 when y = 8

A) 8
B) -7
C) 5
D) 10

Answers

Answer:

-7

Step-by-step explanation:

Answer:

9x+10*8=17

9x=17-80

9x= -63

X= -63/9

so X=. -7

hope it helps

Which of the following statements are true for rectangle OLMN? select all that apply

Answers

Answer:

The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.

Hope this helps.

How do I do these two? I’m so confused-

Answers

Answer:

1: 58

2: 140

Step-by-step explanation:

For blank 1:

arc SU is 180, this is because its the angle of the diameter.

arc TU is 122, because its the double of angle S, so 61 times 2 is 122.

- We know that a circle is 360 degrees, so 180 + 122 is 302

-Therefore 360-302=58.

For question 5:

Arc CA is 180, because it's the angle of the perimeter

Arc BC is 40, because its the double of angle A, so 20 times 2 is 40.

-  We know that a circle is 360 degrees, so 180 + 40 is 220.

- Therefore 360-220=140

Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Juarez will have in his account at the end of 3 years?

Answers

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

[tex]A=P (1+rt)[/tex]

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

How do you write 1.98E8 in scientific notation?

Answers

Answer:

1.98x10^8

Step-by-step explanation:

Answer:

198000000

Step-by-step explanation:

where the dot it you count back words 8 times. you put 1.98 than count back 8 times remove the do than you got 198000000

Hope this helps :)

you can combine radical expression by adding or subtracting if they have the same index and radicand. True or false

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.

Select all expressions that are equivalent to 6+18i.

Answers

Answer:

The 3rd and the 5th

2(3+9i) , 6(1+3i)

Step-by-step explanation:

3. Find the value of x in the diagram below
X
6 cm
5
4 cm
3 cm
R​

Answers

Answer:

4cm is the correct answer

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