A triangular park has side lengths of 3x + 7, 20x and 2(x – 4).
Write a simplified expression to represent the perimeter of the park.

Answers

Answer 1

I explore this idea a bit. obviously x < 5 (because 5-x has to be positive.

2x-5 > 0 is a requirement, also, so x > 2.5 is required


Related Questions

Convert (1/3)^x=27 to logarithmic form, with work worked out!

Answers

[tex] {a}^{x} = m \\ log_{a}(m) = x[/tex]

[tex]( \frac{1}{3} )^{x} = 27 \\ log_{ \frac{1}{3} }(27) = x[/tex]

That's the logarithmic form. Do you need with solving the equation too?

Don’t worry about number three just tell me the answer to number 1

Answers

Answer        3 1 /2 in decimal it is -3.5    

Step-by-step explanation:

7) What is the equation of a circle with the center (-8, 9) and the radius of 10?​

Answers

Answer:

(x+8)² + (y - 9)² = 100

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

match each equation with a value of x that satisfies it
options are:
5 , 9 , 18, 2, 1, -3

(x-2)^1/4=2 --->___

√x^2+7=4. --->___

^3√1-x=-1. --->___

Answers

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

The expressions are given below.

[tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1

Then By simplification, we have

x - 2 = 2⁴

    x = 16 + 2

    x = 18

√x² + 7 = 4

x + 7 = 4

x = -3

∛(1 - x) = -1

    1 - x = -1³

        x = 2

The numerical expression [tex]\rm (x - 2)^{1/4} = 1[/tex], √x² + 7 = 4, and ∛(1 - x) = -1 are correctly matched with 18, -3, and 2.

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The word particle can be used to describe a speck of dust, molecule, an atom or an electron. How can we avoid confusion in using the word particle?​

Answers

Answer:

To avoid confusion in using the word "particle," one must state that a particle is an identifiable part of dust, a molecule, an atom, or an electron.  This means that particles form these elements.

Step-by-step explanation:

For example, atoms are made up of three particles: protons, neutrons and electrons.  These particles are each composed of even smaller particles known as quarks.  Since quarks cannot be broken down further, they are the smallest particles known to mankind.

If x2 = 50, what is the value of x
Matemáticas

Answers

Answer:

x=25

Step-by-step explanation:

The school is planning a field trip. there are 2652 students and 78 seats on each school bus. How many buses are needed to take the trip

Answers

2652÷78=34 so I think it's 34

Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio

as a decimal correctly rounded to 8 places

Express the value typed in 'part a' in scientific notation. (Do not round.)

Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!

State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million

Answers

In scientific notation, the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.

What is scientific notation?

Scientific notation, or the power-of-10 notation, is a mathematical system for expressing huge and small numbers so that they look simple.

A scientific notation of the number 'n' is expressed as a∗10^b. where 'a' is an integer such that 1 ≤ |a| <10. B is an integer that takes positive or negative values.

Data and Calculations:

State         MV Deaths    Population

Indiana         693               6 million

Illinois            911              12.4 million

Ohio            1021               11.35 million

Michigan      871                9.9 million

Alaska           64               0.63 million

Motor Vehicle Deathers per capita for Ohio = 1,021/11,350,000

= 0.00008995594

= 0.00008996

= 8.996 x 10⁻⁵

Thus, the scientific notation of the Motor Vehicle Deaths per capita for Ohio is 8.996 x 10⁻⁵.

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CAN YOU HELP ME WOTH GEOMETRY! It's due TONIGHT!

Answers

Answer:

look down below

Step-by-step explanation:

We know that AB = DC, and BC = AD, ∠B = ∠D because they are given

So, ΔABC ≅ ΔCDA because of SAS congruency

Find the balance of the account.

$1600 at 5% for 1 year

This is simple interest btw. I also need a explanation too​

Answers

Answer:

$1680

Step-by-step explanation:

I = 5%

P = $1600

period = 1 year

$1600 + 15% = $1680

Answer:

$1680.

Step-by-step explanation:

The interest for 1 year = 1600 * 5%

= 1600 * 0.05

= $80.

So the new balance = old balance + interest

= 1600 + 80

= $1680.

write a quadratic function in standard form whose graph passes through (-5 0) (0,-8) and (4,0).

Answers

The required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

What is a quadratic equation ?

A quadratic equation is an equation which contains a single variable of degree 2 and its general form is ax² + bx + c = 0.

The x - intercepts of the quadratic equation are (-5, 0) and (0 , -8). That meant (x + 5) and (x -0) are two factors of quadratic equation.

f(x) = a (x + 5) (x - 0)

f(x) = ax² + 5x

The graph of quadratic equation passes through (4 , 0). So we need to substitute x = 4 , f(x) = 0 in equation 1.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

a = -20/16

We know that quadratic equation is in form ax² + bx + c = 0.

f(x) = [tex]\frac{-20}{16}[/tex] × x² + 5x

f(x) = [tex]\frac{-5}{4}[/tex]x² + 5x

f(x) = -1.25 x² + 5x  

Therefore , the required quadratic function in the standard form is f(x) = -1.25 x² + 5x.

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help me pls big points

Answers

Answer:

the answer should be 18.5

I believe it’s 6.1, actually 6.09 but you round

Don't get this can someone help

Answers

To combine two fractions into one fraction if they are being added / subtracted from each other, make it so they share the same denominator.  To do this, one way is to make [tex]\frac{1}{3}[/tex] have denominator [tex]3t[/tex], so multiply the top and bottom of the fraction by [tex]t[/tex]:

[tex]\frac{t+2}{3t} - \frac{t}{3t}[/tex]

and now you can just subtract the numerator.

[tex]= \frac{t+2 - t}{3t} = \frac{2}{3t}[/tex]

A toy store purchases Jedi lightsabers from the manufacturer for $18. The manager decides to mark up the price by of the original. What is the new markup price?

Answers

Answer:

hehe

Step-by-step explanation:

Jessica is hiring a plumber to remodel her bathroom

Answers

Answer: 1st choice and last choice

Step-by-step explanation:

just did all the math. If not right sorry plz mark brainlest have a great day!

9+6d+c
whats the answer

Answers

Answer:

15d I think

Step-by-step explanation:

Because 9+6 is 15 and then you add the d to 25

Answer:

You can't solve this question unless you have an subject to solve for. This equation is in its simplest form.

If I got your question wrong, please leave a comment! :D As I might be wrong.

Stay safe and Merry Christmas! :)

Each of the 27 turtles in the pet store needs to be fed. There is one bag of turtle food that weighs 84 ounces. If each turtle gets the same amount of food, how many ounces of turtle food will each turtle get?

3 ounces
3.1 ounces
3.ModifyingAbove 1 with bar
3.12 ounces

Answers

Answer:

3.1 Modifying Above 1 with bar is the correct answer .

Answer: 3.1 modifying ounces

Step-by-step explanation:

84/27 = 3.11111111

I need help finding an eqaution for this.

Answers

Answer:

x>7

Step-by-step explanation:

Answer

7 is less than x

Plz help me, i will mark u brainliest!!!

Answers

Answer:

Step-by-step explanation:

To find out how much should he drive more = 7/8 - 1/8 = 6/8

6/8

Both have table of 2 in common so

3/4 is the simplest form

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

No. of remaining days = [tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex]

If the denominators are the same, you can directly do the working for the numerators while leaving the denominator alone.

[tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex] = [tex]\frac{6}{8}[/tex]

6 and 8 both have a common factor of 2, so we can further simplify this fraction.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Thus, he must drive for [tex]\frac{3}{4}[/tex] more days.

which of the following inequalities matches the graph?​

Answers

The correct answer is b, x < -3.
Since the area shaded is left of x = -3, x has to be less than -3.

please solve for j: j+17=8

Answers

Answer:

-9

Step-by-step explanation:

8-17=-9

Answer: -9

Check: -9 + 17 = 8 (Check)

I hope this helps, and Happy Holidays! :)

Type the correct answer in each box.
Elena has 32 hair ties. Melanie has 8 hair ties.
The ratio of Elena’s hair ties to Melanie’s hair ties is
: 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 :
.

Answers

Answer step by step explanation:

The ratio of Elena's hair ties to Melanie At first is 32/8 divide by eight is 4:1

The new hair ties after Melanie gets 4 is 12 ,so the new ratio of Elena's hair ties to Melanie that is 32/12 divided by four will be 8:3

What is HL? Trapezoid

Answers

Answer:

HL = 21

Step-by-step explanation:

HL is the midsegment of the trapezoid shown above. Thus, it follows that:

HL = (JK + GF)/2

JK = 12

GF = 2.5(JK) = 2.5(12) = 30

Plug in the values:

HL = (12 + 30)/2

HL = 42/2

HL = 21

Need help with number 11 ASAP!!!!

Answers

Answer:

78%, no he didn't score high enough

Step-by-step explanation:

78% !!! hope this helps !

graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation y=−3x

Answers

The graph of the line is shown below

Graph of a Linear equation

From the question, we are to determine the graph of the line by plotting any two ordered pairs

First, we will find two ordered pairs on the line

y = -3x

When x = 1

y = -3x

y = -3(1)

y = -3

(1, -3)

When x = 2

y = -3x

y = -3(2)

y = -6

(2, -6)

Using the ordered pairs, the graph of the line is shown below

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Is 0.46 terminating number

Answers

Answer:

Yes because the decimal doesn't go on forever

Answer:

Yes

Step-by-step explanation:

0.46 is a terminating number because it has a finite number of decimal digits. Hence the name terminating, there is a terminated or ending to the decimal.

The length of a rectangular floor is 5m longer than its width. The area of the floor is 84m^. What is the width of the floor? How about its length

Answers

Step-by-step explanation:

I give you answer later ..........

Answer:

The width is 16.8 m

Step-by-step explanation:

A = l * w

w = A/l

w = 84m^2 / 5m

w = 16.8m

[tex]\sqrt{18} is between which two whole numbers[/tex]

Answers

You need to find which two perfect squares is the sqrt{18} between.

sqrt{16} is a perfect square = 4

sqrt{25} is a perfect square = 5.

We conclude the sqrt{18} lies between the sqrt{16} and sqrt{25}.

What is -2/3 divided 4/5

Answers

Answer:

-5/6

Step-by-step explanation:

-2/3 / 4/5 =

-2/3 * 5/4 =

-10/12 =

-5/6

Answer:

-5/6

Step-by-step explanation:

just divide it you will get the answer

Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following statements is true.

Answers

Answer:

ZY = 15

Step-by-step explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

   +5      +5

-----------------

2n = n+10

-n     -n

------------------

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15

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