HELP PLEASE I WILL GIVE BRAINLIEST IF I CAN
The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find what the length of the sides should be. Solve the inequality by showing all of your work and explaining each step.

Answers

Answer 1

Answer:

[tex]L[/tex] ≤ [tex]29[/tex]

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter [tex]=L+L+L[/tex]

So,

[tex]L+L+L[/tex] ≤ [tex]57[/tex]

[tex]3L[/tex] ≤ [tex]57[/tex]

Divide both sides by 3

[tex]3L[/tex] ÷ [tex]3[/tex] ≤ [tex]57[/tex] ÷ [tex]3[/tex]

[tex]L[/tex] ≤ [tex]29[/tex]


Related Questions

Help x^2+10x=24 solve and simplify

Answers

Answer:

x= 2, x= -12

Step-by-step explanation:

cuz i said so

first move the 24 to the other side of the equation by subtracting it from both side's

now the equation looks like this

x^2+10x-24

then find values that add to equal 10 and that also multiply to equal -24

this works out to (x-2) (x+12)

which means that x is equal to 2 and -12

what is the standard form of this graph

Answers

the standard form of that graph is ax squared +bx+c

what is the number of pie in math​

Answers

Answer:

A pie in maths have a degree of 360 degrees

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction

a =

b =

c =

d =

e =

f =

g

Answers

Answer: I got you

The values are:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Step-by-step explanation: Hope this helps

The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.

What is rational expressions?

From the information, the denominator and numerator of the first term are multiplied by x.

The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.

The common factor x can be factored out of the denominator of the second term which gives ...

[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]

Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...

[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]

Writing the sum over the common denominator, we have;

[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]

Collecting terms in the numerator gives ...

[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]

Finally, canceling the common factor we get;

1/(x-6)x

The values of the letters are;  a=6, b=2, c=6, d=2, e=6, f=6, g=1

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The Board of directories has 13 members. How many ways are there to elect a Chair and a Vice-Chair if the bylaw has a rotation rule: Chair and Vice-Chair cannot keep their positions for two years in a row

Answers

The number of ways to elect a Chair and a Vice Chair is 156.

Amount calculation

Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:

13 x 12 = X156 = X

As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.

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Answer:The number of ways to elect a Chair and a Vice Chair is 156.

Step-by-step explanation:

THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 72 FIND THE THIRD INTEGERS.​

Answers

Answer: The three consecutive even numbers are 22, 24, 26

22+24+26 = 72

========================================================

Explanation:

x = first even numberx+2 = second even number directly right after x(x+2)+2 = x+4 = third even number directly after x+2

For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.

However 12+14+18 = 44 is not 72 like we want.

You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.

(first) + (second) + (third) = 72

(x) + (x+2) + (x+4) = 72

3x+6 = 72

3x = 72-6

3x = 66

x = 66/3

x = 22

So we have,

x = 22 = first even numberx+2 = 22+2 = 24 = second even numberx+4 = 22+4 = 26 = third even number

As a check: 22+24+26 = 72 which verifies the answers.

What is this question asking and how do I solve it?

Answers

Answer:

the question is asking what it is the segment between HB,HG and CG

Step-by-step explanation:

pls help me wirh this

Answers

No. It’s faces are triangles

Use the graphing calculator to graph the parent function. f(x) = log(x) add the translated function. f(x) = log(x - h) k plug in different values of h and k to answer the following questions. what happens when h is positive? what happens when h is negative? what happens when k is positive? what happens when k is negative?

Answers

The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions

How to interpret the graph?

The functions are given as:

f(x) = log(x)

f(x) = log(x - h) + k

From the graph of both functions, we have the following highlights:

When h is positive, the graph moves closer to the positive x-axisWhen h is negative, the graph moves closer to the negative x-axisWhen k is positive, the graph moves closer to the positive y-axisWhen k is negative, the graph moves closer to the negative y-axis

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Answer:

horizontal shift to the right,

horizontal shift to the left,

vertical shift up,

vertical shift down.

Step-by-step explanation:

An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the value of the test statistic to test this claim

Answers

The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex]Sample size = n Population mean (hypothesized)= [tex]\mu[/tex]Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not given, then we can estimate it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.

We're provided that:

n = sample size = 81sample mean = [tex]\overline{x}[/tex] = 3.25sample standard deviation = s  = 0.3hypothesized population mean with which comparison is done = [tex]\mu= 3.5[/tex]

Thus, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]

Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

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A trapezoid has an area of 36 square feet. If its height is 8, and one base is 4, what is the length of the other base?

Answers

Answer:

5

Step-by-step explanation:

A=a+b/2 x h

4 = a

5 = b

8 = h

4 + 5 / 2 = 4.5

4.5 x 8 = 36

So the other base length is 5

carnival a charges an entres fee of 7.50 and 0,75per tiket for the rides carnival b charges an entrence fee of 12.00

Answers

Answer:

So what? Please tell the full question

The width of a box is one third of its length. The
height of the box is one third of its width. If the
length of the box is 27 cm, what is the volume of
the box?
a. 81 cm3
b. 162 cm3
c. 243 cm3
d. 729 cm3

Answers

Answer:

d) 729cm^3

Step-by-step explanation:

Length =27cm

Width = 1/3 of length

= 1/3 of 27cm = 1/3 × 27cm = 9cm

Height = 1/3 of width

= 1/3 of 9cm = 1/3 × 9cm = 3cm

So, length = 27cm; width = 9cm; height = 3cm

So, volume = length × width × height

= 27cm × 9cm × 3cm = 729cm^3

Factor the following expression. x^3 + 2x^2 - 16x - 32
IMMAGE ATTACHED

Answers

Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32

This is the hardest one yet! Please help!!

Answers

Answer:

Write your question.

Step-by-step explanation:

We're waiting...

Answer:

whats the question?

Step-by-step explanation:

The length of a rectangle is 10 cm and the width is 15 cm. What is the
area of the rectangle in square meters?

Answers

Answer:

0.015 m²

Step-by-step explanation:

Since we need the area in square meters, we need to first convert our centimeter values into meters.

[tex]\frac{1m}{100cm} =10cm[/tex]

1 · 10 = 10
10/100 = 0.1 m

[tex]\frac{1m}{100cm} =15cm[/tex]

1 · 15 = 15
15/100 = 0.15 m

The area of a rectangle is a = l · w. Plugging in the given values, we get:

a = 0.1 × 0.15

a = 0.015 m²

hope this helps!

1. Find the sum of the series
15
∑ (2n-1)
n-1.
Show your work.​

Answers

[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]

[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]

Sum of first 15 odd nos

n²15²225

PLEASE HELP!! I’m really bad with word problems.

Answers

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099

in a bowl, there are green candies for every 5 red candies. If the bowl has a total of 160 candies (red and green only), which proportion will solve for the number of green candies in the bowl?

Answers

Answer:

see below

Step-by-step explanation:

3 green   for  5   red

then   3 out of (3+5)   are green   ... or  3/8 are green

3/8 * 160 = green         = 60 green

Answer:

60 green candies

Step-by-step explanation:

We know the proportion :

Red : Green = 5 : 3

Let's make a linear equation where candies is denoted by x.

5x + 3x = 1608x = 160x = 20

Number of green

3x3(20)60 green candies

Solve 7k+17=30

give your answer as a fraction in its simplest form

Answers

7k+17=30
7k=13
k= 7/13

The equation of k is 13/7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7k+17=30

Now, solving for k

Subtract both side 17

7k + 17 - 17 = 30 - 17

7k = 13

k= 13/7

Hence, the equation of k is 13/7.

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Given x varies inversely as y and x = 4 when y=−9, find y when x = 6.

Answers

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

What is Proportional relationships?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Inverse variation It is expressed as;

x ∝ 1/r then x = k/y

Where k is the proportionality constant.

Given the data in the question;

x = 4y = -9

First we find the proportionality constant.

x = k/y

4 = k / -9

k = -36

Now, If x = 6 then y = ?

x = k/y

6 = -36 / y

6y = -36

y = -36 / 6

y = -6

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

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An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?

Answers

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

Please Help! This is really urgent!!!! Please!!

The diagram shows a sector of a circle of radius 3 units, formed from an angle of size 125 degrees. Find the length of the arc rounded to two decimal places.
Arc length = _____

Answers

130^2 is the answer z

Answer:

6.54498

Step-by-step explanation:

The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.

Two prisms are similar if the ratio of the base if the two prisms is 49:196 what is the ratio of the volumes of the prisms​

Answers

Answer:

1:8

Step-by-step explanation:

First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.

16 ounces is equivalent to 1 pound. A lion cub born at the zoo weighs 2 1/2 pounds. How many ounces does the lion cub weigh? Show your work.

Answers

Answer:

40 ounces.

Step-by-step explanation:

Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.

2.5 * 16 = 40

Therefor, the lion cub weighs 40 ounces.

Complete the table below to show that the relationship holds for all the triangles above.

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE

Answers

Hope I helped- use the picture at the bottom for help next time

Answer two questions about Equations A and B:
A. 5x2+x= x=4
B.
5x + x = x - 4-
1) How can we get Equation B from Equation A?
2) Are these equations equivalent?

Answers

Answer:

Equation B is the same as Equation A + 2

Step-by-step explanation:

To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.

Equation B: 5x+x=x-4.

Equation A: 5x-2+x=x-4.

Simplifying equation A to be in the form of equation B:

5x -2 + x = x - 4

Adding 2 to both sides:

5x + x -2 + 2 = x - 4 + 2

5x + x = x - 4 + (+2)

= equation A + 2

But 5x+x=x-4 = equation A

Therefore Equation B is the same as Equation A + 2

Which polynomial identities are correct?

Select ALL that apply.
1. a2−b2=(a−b)(a+b)
2. (a+b)3=a3+3ab+b3
3. (a−b)3=a3−b3

Answers

Answer:

a2−b2=(a−b)(a+b) is correct.

Step-by-step explanation:

(a+b)3=a3+3a²b+3ab²+b3

(a−b)3=a3-3a²b+3ab²−b3

Solve the system of equations.

Answers

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Consider the graph of the function f(x)=log2 x. What are the features of the function g if g(x)=f(x+4)+8?​

Answers

The function of g is plugging in f+2 and then equaling it to the f(x+4)+8
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