The city plans to extend the Wildflower Tral to make it 2 ½ times its current length in the next 5 years. How long will the Wildflower Trail be at the end of 5 years?

Answers

Answer 1

Answer: 5¹⁵/₁₆

Step-by-step explanation:

The Wildflower Trail is currently 2³/₈ miles long.

If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;

= 2³/₈ * 2¹/₂

= 19/8 * 5/2

= 95/16

= 5¹⁵/₁₆


Related Questions

Find the next 4 terms in this sequence. Show your work to​

Answers

Answer:

[tex]a_2 = a_1 + 6 = -13 + 6 = -7[/tex]

[tex]a_3 = a_2 + 6 = -7 + 6 = -1[/tex]

Step-by-step explanation:

Can you find a₄ and a₅ yourself?

Answer:

a1=-13 so a-13-1+6=-8 continue with this formula and you will get the 3 left terms

and the next -8-1+6=-3

and the -3-1+6=2

the last one 2-1+6=7 that's all

Solve for x.
2x + 3 >=7
OR 2x +9 > 11
help
the >= is great or equal too btw

Answers

Step-by-step explanation:

2x + 3 >= 7

2x >= 4

x >= 2

2x + 9 > 11

2x > 2

x > 1

The school cafeteria sold 283 slices of pizza and 66 apples what is the ratio of the number of slices of pizza sold to the number of apples sold?


A.283:66


B.283:195


C.283:129


D.283:261


PLEASE HELPPPP I will give brainly try your hardest

Answers

Answer:

283:66 (A)

(Can I get brainliest please)

Answer:

Answer

Aaaaaaaa it had to be at least 20 characters

At a quick-lunch counter, 3 pretzels and 1 soda cost
$2.75. Two pretzels and 1 soda cost $2.00.
What is the cost of a pretzel?

Answers

Answer:

I really did try man ;-;

Step-by-step explanation:

PLEASE HELP!!!
Solve the inequality:
5 (2x-3) - 6x > -2 (x - 6) +3

Answers

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

Answer:

x>5 have a great day

Step-by-step explanation:

what is the answer to the question?​

Answers

Substitute the given number into the equation

Sum = 180(15-2)

Solve brackets

180(13)

Which is equal to 2340

So, the sum of interior angles is 2340 degrees


Can someone please help with this question?

Answers

Answer:

2,4,1

Step-by-step explanation:

since mode means the number that occurs most often in the data set. The numbers 1,2, and 4 all occur three times meaning they occur most often

translate into an algebraic expression and simplify if possible. what number exceeds m by five more than n

Answers

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

How would I show my work on this ? 25 points

Answers

Answer:

I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.

Step-by-step explanation:

i hope this helped :))

Answer I know the answer I’m just making sure if I’m correct, thanks. Plug in -5 for every x.

Answers

.................................

Solve the equation.
8n -(5n+6)= 9
n =
(Simplify your answer.)

Answers

Answer:

n = 5

Step-by-step explanation:

8n -(5n+6) = 9

8n -5n - 6 = 9

combine like terms

3n - 6 = 9

     +6    +6

3n = 15

divide both sides by 3

n = 5

Hope this helps!!!

Jade types 40 words in 7 minutes. Andrew types 35 words in 6 minutes. Who is the faster typist?

Answers

Andrew types faster than Jade

40/7 = 5.7 words per minute (Jade)

35/6 = 5.8 words per minute (Andrew)

May I have brainliest please? :)

I think it’s Andrew

please answer someone!! I need this asap!!!​This is in similarity! I need to find the lengths marked by the letter

Answers

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

Solve the quadratic equation x2 - 12x + 23 =0 by completing the square.
A) x = 13 6
B) x = 13 - 6
C) x = -6 13
D) x= 6 13

Answers

Answer:

Completing the square is always confusing, but if you keep in mind it's just a way to write  (A + B )^2  so that the problem is in some easier form it makes a bit better sense.  A perfect square has some helpful properties.. anyway..

Step-by-step explanation:

Given: [tex]x^{2}[/tex] - 12x +23 = 0   ( not a perfect square , tough to work with )

take 1/2 of the second term  coefficient  12/2 = 6   and square it

[tex]x^{2}[/tex] - 12x + ([tex]-6)^{2}[/tex] +23 = [tex](-6)^{2}[/tex]

[tex]x^{2}[/tex] -12x + [tex]6^{2}[/tex] +23 = [tex]6^{2}[/tex]

now there is a perfect square :)

(x - 6)^2 =36-23

(x - 6)^2 = 13

take the square root of both side now

x -6 = [tex]\sqrt{13}[/tex]

x = [tex]\sqrt{13}[/tex] +6

sooo  what is supposed to happen in these problems  is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots?   so maybe A is right  :/

We want to solve a quadratic equation by completing squares.

What we need to use is the general relation:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

We will see that the solutions are:

[tex]x = 6 \pm \sqrt{13}[/tex]

We start with the equation:

[tex]x^2 - 12x + 23 = 0\\[/tex]

We can rewrite the middle term as:

[tex]x^2 - 2*6*x + 23 = 0\\[/tex]

Now remember that 6*6  = 36

Then we can add 13 and subtract 13 to get:

[tex]x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0[/tex]

Then the solutions are:

[tex](x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}[/tex]

If you want to learn more, you can read:

https://brainly.com/question/17177510

find the value of X in each of the given triangles.​

Answers

Answer:

x = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Combine like terms:                    5x + 60 = 180Isolate x term:                              5x = 120Isolate x:                                       x = 24

i need help with number 4

Answers

Answer:  (2) (-8,10]

Step-by-step explanation:

Answer:

(2) (-8, 10]

Step-by-step explanation:

First, note that a bracket (“[“ and “]”) is inclusive and a parentheses ( “(“ and ”)” ) are exclusive.

For -8< x <= 10, -8 is excluded in the interval because x must be GREATER THAN (since -8 isn’t greater than -8) and 10 is inclusive in the interval because x must LESS THAN OR EQUAL TO 10 (since 10 is greater than or equal to 10).

So, using what we know, we put it together into interval notation: (-8, 10]

I hope this helps! :)

I am working on an assignment about simple Harmonic Motion and I need help seriously.

Answers

Answer:

I don't know let me know what it is plez

sorry I can't be help now

Number 8 please thank you people>>>>>

Answers

Answer:

I believe the correct answer is C.

Step-by-step explanation:

When you put it in simplest firm they equal the same ratio:

1/5

3x+7y=17
3x-6y=4
solve this by elimination method plzzzzzzzzzzzzz helppppppppppppp meeeeeeeeeee

Answers

Answer:

[tex](\frac{10}{3}, 1)[/tex]

Step-by-step explanation:

1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.

This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together.  (This work is shown in the first picture.)

Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.

2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:

[tex]3x + 7 (1) = 17\\3x + 7 = 17 \\3x = 10 \\x = \frac{10}{3}[/tex]

Therefore, the answer would be [tex](\frac{10}{3} , 1)[/tex].

When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can finish the job in 2.5 hours.

Answers

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

PLEASE HELP ASAP!
what is the slope represented in the table?

Answers

Answer:

it increases by 5 basically if you graph it you will see the increase of the slope by 5 and its 10x,9y

Brainliest answer pls

Javier is helping his parents put up posters in their movie theater. Each poster has a thickness of 0.012 inch. How thick is a stack of 10 posters? 100 posters? 1,000 posters?
and why

Answers

Step-by-step explanation:

1=0.012inch

10=0.012x10

10=0.12inch

100=0.012x100

100=1.2inch

1000=0.012x1000

1000=12inch

because if 1 poster has a thickness of 0.012 inch

than you have to multiple the number of posters with 0.012 inch

Find the value of A in the following expression
x³ + x² - 2Ax + A² has remainder 8 when divided by x - 2

Answers

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

please mark me brainliest and follow me my friend.


What is the value for x?
Angle A=73°
Angle B=(6x + 4)º
Angle C=(8y-7)° Enter your answer in the box.
X=

Answers

The value of x is 5 from the diagram.

The sum of angles in a triangle.

The sum of interior angle of a triangle is 180 degrees. Hence:

m<A + m<B + m<C = 180

From the information given,;

73 = 8y - 7 (base angles are equal)

8y = 80

y = 10

Take the sum of the angles:

73  + 6x + 4 + 73 = 180

6x + 150 = 180

6x = 30

x= 5

Hence the value of x is 5 from the diagram.

Learn more on triangles here: https://brainly.com/question/2938476

The value of x is 5.

Since triangle ABC is an isoceles triangle, angle A = Angle C(base angles of an isoceles triangle are equal)

Since angle A = 73° and angle C = (8y - 7)°

angle A = angle C

73 = 8y - 7

Adding 7 to both sides, we have

73 + 7 = 8y - 7 + 7

80 = 8y

Dividing both sides by 8, we have

y = 80/8

y = 10

Also, angle A + angle B + angle C = 180° (sum of angles in a triangle)

73 + 6x + 4 + 8y - 7 = 180

Collecting like terms, we have

73 + 4 - 7 + 6x + 8y = 180

6x + 8y + 70 = 180

Subtracting 70 from both sides, we have

6x + 8y + 70 - 70 = 180 - 70

6x + 8y = 110

Making x subject of the formula, we have

6x = 110 - 8y

x = (110 - 8y)/6

Substituting the value of y into the equation, we have

x = (110 - 8y)/6

x = (110 - 8 × 10)/6

x = (110 - 80)/6

x = 30/6

x = 5

So, the value of x is 5.

Learn more about angles in a triangles here:

https://brainly.com/question/7888180

Please help!!!!! Select the interval

Answers

Step-by-step explanation:

When f(x) > 0, the graph is above the x-axis.

Only -2 < x < -1 is above the x-axis. (A)

Steven’s retirement income is $54,500. Assuming it is 70% of his final salary, what was his final salary?

$38,150
$54,500
$77,857
$81,985

Answers

Answer:

third choice

Step-by-step explanation:

His final salary must be 100% so to find it,

100%/70%×$54500

=$77857.14≈$77857

Answer:

77,857$

Step-by-step explanation:

correct on odyssey

5 less than the number k

Answers

Answer:

5 less than the number k(k-5) is the right answer.

Type the correct answer in the box use numerals instead of words

Answers

Answer:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?

First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]

[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]

So, the polynomial we get is: [tex]4x^2-3x+14[/tex]

Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]

[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]

The difference is 14

So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 3 scoops of powdered drink mix with 1 gallon of water to make each pitcher of juice. One of Ms. Albero's students said she will mix 12 scoops with 3 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?

Answers

Answer: ok

Step-by-step explanation:

What is 24.5 divided by 2? Please show your work.

Answers

Answer: 12.25

Explanation:
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