Mathematics Middle School

The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (<= : less than or equal to)

a) 3.5 <= x <= 18

b) 10 <= x <= 68

c) 7 < x < 36

d) 7 <= x and x <= 36

Answers

Answer 1
We know that the perimeter is the all the sides added up together. Generally, you have [tex]p = 2l+2w[/tex], where l is length and w is width.

For a square, all sides are of the same length, so you can write [tex]p=4x[/tex], where x is any side.

If the smallest perimeter is 14, then [tex]14 = 4x[/tex], so x is 3.5. If the largest perimeter is 72, then [tex]72 = 4x[/tex], so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.
Answer 2
Final answer:

The length of the sides of a square with a perimeter between 14 and 72 feet inclusive ranges from 3.5 to 18 feet. By dividing the perimeter limits by 4, we find the possible side lengths, leading to the answer: 3.5 ≤ x ≤ 18 (option a)).

Explanation:

The student is asking about the possible lengths of the sides of a square given that the perimeter must be between 14 and 72 feet inclusive. To solve this, we recall that the perimeter (P) of a square with side length (a) is given by P = 4a. Therefore, if P is between 14 and 72 feet, we divide these values by 4 to find the possible values for a.

The lower limit for the side length is 14 ÷ 4 = 3.5 feet, and the upper limit is 72 ÷ 4 = 18 feet. So the possible values for the side length of the square can be represented as 3.5 ≤ x ≤ 18. Hence, the correct answer to the student's question is option a).

Related Questions

determine the measure of angle bpc in the figure

Answers

from the last answer
angle CPD = 38°
agian,
angle BPC + angle CPD = 90° ( sum of complementary angles)
or, angle BPC + 38 = 90
or, angle BPC = 90 - 38
or, angle BPC = 52°
therefore BPC = 52

Can someone please help me

Answers

Hey there! :D

So, those both will be equal to 180 degrees. Consecutive angles are supplementary. 

2x-20+3x= 180

5x-20=180

Add 20 to both sides.

5x=200

x= 40

I hope this helps!
~kaikers
2x-20+3x=180
Add like terms
5x-20=180
Add 20 on both sides
5x=200
Divide by 5 on both sides
X=40

There were n signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old. The oldest was Benjamin Franklin, who was y years old. X is 25% of 104, 7 is 10% of y, and n is 80% of y. Y is what percent of (n+y-x)?

Answers

X = .25 x 104 X=26
Y= 7/.10 Y=70
N= .8 x 70 N=56
n+y-x 56+70-26=100

70/100 = .7 or 70%
The answer is: Y is 70% of (n+y-x)

Answer:

70%

Step-by-step explanation:

First we calculate X using the following formula:

X = 25/100 * 104

X = 0.25 * 104

X = 26

Then we calculate Y using the following formula:

7 = 10/100 * Y

7 = 0.1 * Y

7/0.1 = Y

Y = 70

Then we calculate N as per the formula below:

N = 80/100 * Y

N = 0.8 * 70

N = 56

Finally using the formula mentioned in question we derive Y what percent of N + Y - X:

= Y/ (N + Y - X) * 100

= 70/ (56 + 70 - 26) * 100

= 70/100 * 100

= 70%

The table on the right shows last initials of basketball players and the number of games played by each. Find the​ z-score for player Upper G​'s games played.


Player Games Played


A 75


B 81


C 72


D 79


E 76


F 80


G 75


H 79


J 73


K 79

Answers

are u doing a test or no

create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4

Answers

Here is one that meets your requirements.

What is the volume of the cube?




A.


1944 mm3


B.


54 mm3


C.


324 mm3


D.


5832 mm3
PLEASE HELP , I WILL MARK BRAINLIEST ..

Answers

Hi !
The volume of the cube is :
18 × 18 × 18= 5 832 mm³
The answer is D.

Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)

Answers

13. (1/3)*(3/4) = 1/4 . . . . of the aquarium animals are clown fish

14. 4*(1/5) = 4/5 . . . . . . . pounds of beef in 4 hamburgers

The table of values represents a quadratic function.

What is the average rate of change for f(x) from x = 0 to x = 10 ?

x ​f(x)​
​−10​ 184
​−5​ 39
0 ​−6​
5 49
10 204

Answers

(f(10) -f(0))/(10 -0) = (204 -(-6))/10 = 21

The average rate of change on the interval is 21.

The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-

Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]

It says to find the average rate of change from x = 0 to x = 10.

From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.

So we have two points A(0, -6) and B(10, 204).

Using the above formula, we can find average rate of change from A to B.

Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]

Hence, the final answer is 21.

determine which fraction goes in the middle to make the comparison true. 5/8< ? < 8/10. so the answer to pick from are 1/2,1/3,7/10,1/4

Answers

7/10 is the answer. 

7/10 is greater than 5/8 but it is less than 8/10

The fraction that goes in the middle to make the comparison true is 7/10.

5/8 < 7/10 < 8/10

Option C is the correct answer.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

5/8 < x < 8/10

The value for x is greater than 5/8 but less than 8/10.

1/2 is less than 5/8.

1/3 is less than 5/8.

7/10 is greater than 5/8 and less than 8/10.

1/4 is less than 5/8.

Thus,

5/8 < 7/10 < 8/10

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

The local water slides have 80 employees, of which 30% are temporary. How many temporary employees are there ?

Answers

30% of 80 is 24 56 of them are permanent

ASAP
Kim and Leon together have $111. if kim has $17 more than Leon, how much does each person have?

Answers

To solve this, we should make an equation. The equation has to be in terms of L, which is Leon since Kim has $17 more than him.
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.

Leon has $47 and Kim has $64. We solved the problem by setting up an equation with the given information and solving for each person's amount.

The question presents a typical algebraic problem. Let's denote Leon's amount of money as L and Kim's amount as K. According to the problem, Kim has $17 more than Leon, so we can write this as K = L + $17.

Since the total amount of money they have together is $111, we can formulate the following equation: L + K = $111. By substituting the first equation into the second, we get L + (L + $17) = $111.

Simplifying by combining like terms, we get 2L + $17 = $111. To find the value of L, we subtract $17 from both sides, resulting in 2L = $94. Dividing by 2 gives us L = $47.

Since K = L + $17, we substitute the value of Leon's money to find Kim's: K = $47 + $17 = $64. So Leon has $47 and Kim has $64.

bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?

Answers

Multiply 500 times .75 and it equals 375, hope this helps!!

Answer:

500 x 0.7 = 350 I hope it helps

Step-by-step explanation:

Main Idea: To evaluate an exponential growth or decay function, substitute a value for the exponent variable and simplify.

Evaluate each exponential function for the given value.

Answers

Hey there!

In order to do this, we can just plug in 1 where it says t. It's exponential decay because the decay factor is less than one. We have:

f(t) = 2 * (1/2)^3 =
2* 1/2 * 1/2 * 1/2 =
2 * 1/8 =
2/8 =
1/4

Hope this helps!

Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Please show steps.

Answers

1. That is a right triangle, what means that it has a angle of 90°, so you can calculate the value of "x" "as below:

 Tan(α)=Opposite leg/Adjacent leg

 The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.

 2. When you substitue these values, you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(60°)=x/5
 x=(5)(Tan(60°)
 x=5√3

 Then, the answer is: The value of "x" is 5√3

which equation below will produce a decay curve

y=2(4)^x
y=3^x-4
y=6(1/3)^x
y=1/2(3)^x

Answers

answer : y=6(1/3)^x, option C

Decay curve means when x value increases the y value will decrease.

We plug in 3 values for x and check the y value

Lets start with first option

[tex] y=2(4)^x [/tex]

x=0 , y= 2

x=1, y= 8

x=2, y=32

when x value increases the y value also increases. so option A is not a decay curve

[tex] y=3^x -4 [/tex]

x=0 , y= -4

x=1 , y= -1

x=2 , y = 5

when x value increases the y value also increases. so option B is not a decay curve.

[tex] y= 6(\frac{1}{3})^x [/tex]

x=0, y = 6

x=1, y = 2

x=2 , y= 0.67

when x value increases the y value decreases. so option C is a decay curve

Final answer:

The equation that will produce a decay curve is y = 6(1/3)^x.

Explanation:

The equation that will produce a decay curve is y = 6(1/3)x.



A decay curve is characterized by exponential decay, where the base of the exponent is less than 1. In this equation, the base is 1/3, which is less than 1. As x increases, the value of (1/3)x decreases, resulting in a decay curve.



For example, if we substitute x = 0 into the equation, we have y = 6(1/3)0 = 6(1) = 6. As x increases, the value of y decreases exponentially.

Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective

Answers

golden mean is the asnwer
Answer: option c. one-point perspective

Justification:

The one-point perspective is a mathematical (geometric) technique that permits to represent the real objects (which are in 3D) in a flat sheet of paper (or canvas or any flat surface use to draw), which is a 2-D figure.

With this technique, the objects appear smaller as they are further away which is what gives the illusion of 3D (perspective).

To get the effect of 3D, the lines on the drawing converge towards a point on the horizon line.


I need help please help please please please

Answers

Problem 1 is asking "the other cost."

It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."

The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.

___
The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.

What happens if the correlation coefficient equals 0?

Answers

It means the variables are independent.

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)

Answers

We apply the rule to each of the vertices:
 (x, y) ---> (x-5, y + 3)
 P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
 Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
 R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
 S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
 Answer:
 a.
 P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Answer:

a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Step-by-step explanation:

What is the area of the object Below?
A.
158 sq cm
B.
102 sq cm
C.
94 sq cm
D.
142 sq cm

Answers

split the image into 2 rectangles
so
A = (8 x 4) +(10 x 7)
A = 32 + 70
A = 102 

answer
B. 
102 sq cm
7 x 10 = 70

4 x 8 = 32

32 + 70 = 102

102 is your answer. :-)

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?

Answers

15 inches.

The side length of the base is 4. Find the surface area of the base only by squaring the side length - 4² - which is 16. The surface area of the base is 16 in². 

The surface area of the entire pyramid can be found using this equation:

[tex]SA = B + \frac{1}{2} nbl[/tex] 

Where:
- SA is the surface area (136 square inches)
- B is the area of the base (16 square inches)
- n is the number of triangles (4, because it's a square pyramid)
- b is the base length (4 inches)
- l is the slant length

Note that we have many parts of this equation, and all we need is the slant length. So, let's format the equation with what we have:

[tex]136 = 16 + \frac{1}{2} * 4 * 4 * l[/tex]

So then we want to solve for l, the slant height. So, start by subtracting 16 from each side. This would give us: 

[tex]120 =  \frac{1}{2} * 4 * 4 * l[/tex]

Now, multiply both sides by 2 to get rid of the fraction:

[tex]240 = 4 * 4 * l[/tex]

Finally, divide both sides by four, twice (divide by 16):

[tex]15 =  l[/tex]

So, we know that the slant height of this pyramid is 15 inches.

The cost of a gallon of gas recently doubled. By what percent did it increase? A) 50% B) 100% C) 150% D) 200%

Answers

Hey there!

If a cost of a gallon recently doubled, then it increased by 50%. This is because half of 100% is 50% and it takes one more 50% to double.

Hope this helps you.
Have a great day!

Answer:

it is 100%

Step-by-step explanation:

i did it on usa test prep

Jane drew a point that was 1 unit to the right of the y-axis and 7 units above the x-axis.what is the ordered pair for this location

Answers

the ordered pair will be (1,7)

In a fifth grade class 3/4 of the students like to go to the movies.Of the students who like to go to the movies 2/3 of them like action movies.What fraction of the students in the class like to go to action movies?

Answers

2/3 of 3/4

[tex] \frac{2}{3}* \frac{3}{4} = \frac{1}{2}=0,5 [/tex]   or 50% of the students like to go to action movies.

what is 2.8 millimeters written in expanded form?

Answers

It’s simple, 2.0 + .8= 2.8

Expanded form is a way to write a number that shows the value for each place.

[tex] 2.8 \; mm = 2\; mm+\; 0.8\; mm [/tex]

This is an ADDMATHS QUESTION so I'm not sure if anyone can help me but please try to ㅠ ㅠ: Find the equation of the normal to the curve y=ln(2x^2 - 7) at the point where the curve crosses the positive x-axis. Give your answer in the form ax+by+c=0 , where a, b and c are integers.

Answers

You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).

We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0
This equation crosses the positive x-axis at (0, 2). I used a graphing calculator, you could brute force it if you'd like.

First, take the derivative of the equation given:
[tex]y = ln(2x^2-7)[/tex]
[tex]y' = \frac{4x}{2x^2-7} [/tex]

At 2, the function has a derivative of 8 (just plug in 2 to y'). So, the perpendicular to that has to have the slope -1/8 because of the negative-inverse rule. We have this until now:
[tex]y = -\frac{1}{8}x -2[/tex]

Now, we have to get a 0 on the right side, so, just get everything on the other side, and you are done. 

Find the quotient of -5x^3+20x^2-25x/-5x
A: -5x^3+20x^2+5
B: x^2-4x+5
C: -x^2-4x+5
D: x^2+4x-5

Answers

-5x^3+20x^2-25x/-5x
divide -5x into each term
=(-5x^3/-5x) + (20x^2/-5x) + (-25x/-5x)
when dividing exponents, subtract
=1x^2 - 4x + 5
=x^2 - 4x + 5

ANSWER:
B) x^2 - 4x + 5

Hope this helps! :)

hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the account. with x representing the number of years since she first opened the account and y representing the number of dollars in it. what is the slope of the line?

Answers

if we take the graph with x as number of years and y as amount of dollars in it as mentioned in the equation;
gradient of the graph/ slope (m) = Change in y / change in x 
so if we take a certain portion of the graph 
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
              = 28

which is most likely the equation of the line shown on the graph?

Answers

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to 
y = x + 3

Hope this helps!

Answer:

The equation of line is y=x+3.

Step-by-step explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

[tex]m = \frac{Rise}{Run}[/tex]

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

[tex]m = \frac{1}{1}=1[/tex]

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.

The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?

Answers

1 foot = 12 inches
9 * 12 = 108 + 6 = 114 inches ( length of the bed)

114 - 79 = 35 inches too short

Answer:

its 2 feet and 11 inches

Step-by-step explanation:

Other Questions
Please Help!! 20 Points. Read the poems "Will There Really be a 'Morning'" and "Ozymandias."Will There Really be a "Morning"Will there really be a Morning?Is there such a thing as Day?Could I see it from the mountainsIf I were as tall as they?Has it feet like Water lilies?Has it feathers like a Bird?Is it brought from famous countriesOf which I have never heard?Oh some Scholar! Oh some Sailor!Oh some Wise Man from the skies!Please to tell a little PilgrimWhere the place called Morning lies!OzymandiasI met a traveler from an antique land,Who saidTwo vast and trunkless legs of stoneStand in the desert.... Near them, on the sand,Half sunk a shattered visage lies, whose frown,And wrinkled lip, and sneer of cold command,Tell that its sculptor well those passions readWhich yet survive, stamped on these lifeless things,The hand that mocked them, and the heart that fed;And on the pedestal, these words appear:My name is Ozymandias, King of Kings,Look on my Works, ye Mighty, and despair!Nothing beside remains. Round the decayOf that colossal Wreck, boundless and bareThe lone and level sands stretch far away.Compare and contrast the poems. Write two paragraphs in answer to the prompt. How does each poet use form to create meaning? How does the form affect the poem? Use specific examples from the poem as evidence to support your answer. Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply5 inches by 7 inches20 inches by 28 inches7 inches by 20 inches21 inches by 15 inches10 inches by 14 inches is y=0.8(2.1)x exponential growth or exponential decay 6) What is the best way to combine these two sentences into one without changing the meaning? The Winter Olympics are fun to watch on television. Some of my favorite events are skiing, skating, and bobsledding. A)My favorite event during the Winter Olympics is speed skating. B)Some of my favorite televised events during the Winter Olympics are skiing, skating, and bobsledding. C)During the Winter Olympics, my television is always on. D)Skiing, skating, and bobsledding are fun sports in which to participate. How are Michelangelo's David and Gianlorenzo Bernini's David similar? Choose all answers that are correct.A.They are nonrepresentational.B.They are lifelike.C.They are marble sculptures.D.They are larger than life. Which was a result of the US occupation of Japan after World War II According to vygotsky, guided participation requires that a child _____. given the conversion factor 3.28 ft/ 1m which cube above has the larger surface area cube A is 7 cube b is 2m You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor. Don't want any answers, just how to solve, step by step. please :) Saying that a term or expression is problematically vague means that the word or expression _____________ In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?trapezoidparallelogramrectanglerhombus What type of cells is yogurt and cheese made out of? I need desperate help A 9-pound bag of lollipops costs $12.04. What is the unit price, rounded to the nearest cent? Comparative advantage emerges because of the presence of: If you were interested in how a child's culture influences cognitive development, you would be most likely to consider ________ approach to cognitive development. At high noon, you're laying on the beach. You can feel _____ air coming from _____. miguel ran 1 3/10 miles on monday. on friday miguel ran 3 times as far as he did on monday. how much farther did miguel run in friday than he did on monday? Why, according to this proclamation, should Congress grant the right to vote to the newly freed slaves?