A new neighborhood activity complex is being built in Erie. The perimeter of the rectangular playing field is 448 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of the playing field?

Answers

Answer 1

Answer:

Length = 178 yards and Breadth = 46 yards

Step-by-step explanation:

The perimeter of the rectangular field is 448 yards

Let the width is b and the length of the field is (4b-6) yards

We need to find the dimensions of the playing field. We know that the perimeter of a rectangle is given by :

P = 2(l+b)

ATQ,

[2((4b-6)+b)] = 448

2(5b-6) = 448

5b-6 = 224

5b = 230

b = 46 yards

Length = (4b-6)

= 4(46) - 6

= 178 yards

Hence, the length and breadth of the field is 178 yards and 46 yards respectively.


Related Questions

A grill at Rudy's restaurant will be used to cook sausage links that are2 lb each and briskets that are 8 lb each. No more than 140 lb of sausage links and briskets will be cooked on the grill for a graduation party.

Answers

Answer:

Step-by-step explanation:

The first one is correct.

Answer:

The firest one( 2x + 8y ≤ 140 )

Step-by-step explanation:

the math teacher gives each student a map of the amusement park that use a coordinate plane the meeting locates is at(0,0) on the map each unit is 100 ft the first ride that you want to try is located at the coordinates (0,4) the next one is located at (3,0) if you walk in a straight line from the first ride to the second ride how many feet would you travel​

A.300 feet
B.400feet
C.500feet
D.700feet

Answers

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

To find:

The actual distance between first and second ride.

Solution:

Distance formula: Distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get the distance between first ride and second ride in the map is

[tex]d=\sqrt{(3-0)^2+(0-4)^2}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

So, the distance between first ride and second ride in the map is 5 units.

We have,

1 units  = 100 ft

5 units = 500 ft

The actual distance between first and second ride is 500 ft.

Therefore, the correct option is C.

Correct answer will get brainpower and +40 points! I need step by step instructions though wrong answers will get reported.

Q1: f (x) =2x - 9

Part A) Find f^-1 (3)

Part B) Find f^-1 (x)

These are the parts that need to be solved.
tysm for the help!

Answers

Answer:

Given :-

f (x)=2x-9

To find:-

[tex]\sf f^{-1 (3)}[/tex]

[tex]\sf f^{-1 (x)}[/tex]

Solution :-

We need to find

[tex]f^-3 \\ f^{-x}[/tex]

[tex]\qquad{:}\longrightarrow\tt f^-3=2^{-3}-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -8-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^{-3}=-17 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^-x=2(-x)-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -2x-9 [/tex]

Multiply (-1)

[tex]\qquad{:}\longrightarrow\tt f^{-x}=2x+9 [/tex]

HELPPPPPPPPPPPPPPPPP

Answers

Answer: We can't see the picture

Step-by-step explanation:

Can someone explain this to me please?

Answers

Answer:

Option C

Step-by-step explanation:

Since, measure of all sides of the triangle has been given in the picture,

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(BC)cos(B)

11² = 16² + 16² - 2(16)(16)cos(B)

121 = 256 + 256 - 512.cos(B)

121 - 512 = - 512.cos(B)

cos(B) = [tex]\frac{391}{512}[/tex] = 0.763672

B = [tex]cos^{-1}(0.763672)[/tex]

B = 40.2°

Therefore, measure of angle B is 40.2°.

Option C is the answer.

jaime's older brother and his three friends want to split the cost of lunch. they also want to leave a 15%-20% tip. how much should each person pay?

cost of luch : $78.00​

Answers

Answer:

31.2 Dollars.

Step-by-step explanation:

Answer:

23.4

Step-by-step explanation:

This is also a rational and irrational worksheet so which one would it be?

Answers

if you calculated it you would get 20.25 so it is irrational

Priya family exchangers 125 dollers for 4,250 pesos. Priya bought a sweater for 340 pesos how many dollers did the sweater cost

Answers

Answer:

The sweater costs 10 dollars.

Step-by-step explanation:

We can use proportion to solve this:

[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]

please help asap!! Find the base

Answers

You collect the “like terms” and simplify which would bring you down to 1789b which is equivalent to 1345b. Then you move the “variable” to the “left-hand” side and change its sign which would give you 1789b-1345b=0. Then again collect the “like terms” which would bring you 444b=0. Then you divide the both sides of the equation by 444 and it would mean b=0. So your answer is b=0

A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups ​

Answers

Answer:

The cost of each of the six cups is 2.50.

Step-by-step explanation:

The cost of each of the six cups can be calculated as follows:

Cost per cup = Total cost / Number of cups paid for ................. (1)

Where;

Cost per cup = ?

Total cost of cups = 15

Number of cups paid for = 6

Substituting the values into equation (1), we have:

Cost per cup = 15 / 6

Cost per cup = 2.50

Therefore, the cost of each of the six cups is 2.50.

Jamal and Samuel are saving for a camping trip. Jamal starts with $18 and saves $5 each week. Samuel starts with $10 and saves $7 each week. Use the drop-down menus to complete the rule for the amount of savings for each boy.

Answers

Answer:

4 weeks

$28

Step-by-step explanation:

Let

x = number of weeks

Jamal's savings = 18 + 5x

Samuel's savings = 10 + 7x

Equate both savings

Jamal's savings = Samuel's savings

18 + 5x = 10 + 7x

18 - 10 = 7x - 5x

8 = 2x

x = 8 / 2

= 4

x = 4 weeks

Check:

18 + 5x

18 + 5(2)

18 + 10

= $28

Each boy would have saved an equal amount of $28 at the end of the 4th week

when using the correct order of operations ,you always add before you subtract.

Answers

Is this a true or false question? Or a statement? I’ll answer in comments. Don’t worry I won’t take points without giving an answer :)

Answer:

False

Step-by-step explanation:

Additions and subtractions are done in the order they appear from left to right.

How would i know if a line on a graph has passed the vertical line test?

Answers

Answer:

The vertical line will only pass the graph line once.

Step-by-step explanation:

For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.

Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!


To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Point A is one vertex of triangle ABC. Point B is the​ x-intercept of 6x-4y=-12 and point C is the​ y-intercept. What are points B and​ C? Sketch the triangle in the coordinate plane.

Answers

Answer: point b=(-2,0) point c=(0.3)

triangle graph= c at the top b on the left side bottom and a on the right side botton

Step-by-step explanation:

Create an equation that has -12 and -15 as its only solutions.

Answers

Answer:

x^2+27x+180

Step-by-step explanation:

okay so -12 and 15 are the only solutions

work backward

add 12 and add 15 from x

(x+12)(x+15)

then solve this

x*x=x^2

x*+15=15x

12*x=12x

12*15=180

now put it all together

x^2+15x+12x+180

then simplify

x2+27x+180

(x+12)(x+15)

Then solve again to try it.

x+12=0

x+15=0

x=-12

x=-15

Hope this helps.

Write an express for the perimeter of the figure shown by combing like terms.

Answers

Answer:

30c + 6 i believe

Step-by-step explanation:

A rectangular block of metal is 25cm long, 13cm wide and 10cm high.
The metal block is melted down and all of the metal is used to make a cube.
Work out the length of each side of the new cube formed.
Give your answer rounded to 1DP.

Answers

Answer:

14.8 cm

Step-by-step explanation:

Volume of the block: 25 × 13 × 10 = 3250

Side length of the cube: [tex]\sqrt[3]{3250}[/tex] ≈ 14.8

Answer:

14.8

Step-by-step explanation:

Volume of box = volume of cube

xx squared - XY + x squared - xy ​

Answers

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]                                  


Perry is making a scrapbook with pictures of all his summer activities. He filled 6 pages with
24 pictures from his weekend at the beach. Perry has 44 pictures from his week at camp.
If Perry adds pictures to his scrapbook at the same rate, how many pages will he fill with his
camp pictures?

Answers

Answer: 188

Step-by-step explanation:

So first do

6 X 24=144+44=188

Tell me if I am right

Answer:

Step-by-step explanation:

11

Can someone solve this problem with work please? :)

Answers

I hope the attachment over here helps!!!

b) through: (5, 5) and (0, -1)
Slope: m=
y-intercept: b =
Equation: y =

Answers

Answer:

For the slope, we will use the slope formula*.

[tex]m = \frac{-1 - 5}{0 - 5} = \frac{-6}{-5}[/tex]

The y-intercept is already given. It is 1.

To create the equation of the line, we put what we got for m and b in slope-intercept form**.

[tex]y = -\frac{6}{5}x + 1[/tex]

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

the altitude H of cylinder with a constant volume V is inversely proportional to the square of its radius R. write the related variation equation

Answers

Answer:

The related variation will be:

H = V/R²

Step-by-step explanation:

We know that when 'y' varies inversely with 'x', we get the equation

y ∝ 1/x

y = k × 1/x

Here 'k' is the constant of proportionality

Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.

so the equation can be mapped as

H ∝ 1/R²

H = k/R²

In this case, the k is the constant volume. i.e. V = k

Thus, the equation becomes

H = V/R²

where H is the altitude, V is the constant volume and R is the radius.

Therefore, the related variation will be:

H = V/R²

The variation equation showing the relationship between H, V and R is given by H = VR²

A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.

An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.

Let H represent the altitude and R represent the radius.

H ∝ R²

H = VR²; V (volume) is the constant of proportionality

The variation equation showing the relationship between H, V and R is given by H = VR²

Find out more at: https://brainly.com/question/13977805

Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6

Answers

17 - 9/7j

Because you would group all of the non fractions together ( 14-3+6 =17) and then group the fractions together ( 9/7j)

Answer:

[tex]t^{14}[/tex] +  3  +  − [tex]\frac{3j}{7}[/tex]  + 7 + -[tex]\frac{6j}{7}[/tex]

Step-by-step explanation:

Divide the polynomials.
right answers only

Answers

Answer: x-4

Step-by-step explanation:

1. Factor the numerator

(x-4)(x-4)

2. Cancel out factors between the numerator and denominator (if applicable)

(x-4)(x-4)/(x-4)

Since x-4 appears in both the numerator and denominator, you can cancel the factors out, as they are equal to 1, leaving the answer, x-4

Answer:

I believe it should be x-4

Step-by-step explanation:

Drag each tile to the correct box. A group of marine biologists on a marine expedition recorded the elevations at which they found a few animals, with respect to sea level. Arrange the animals in the decreasing order of the elevations at which the marine biologists found them. sea turtle -502 feet sea urchin -452 feet garden eel -396 feet great white shark -430 feet > > >​

Answers

Answer:

Garden eel, Great white shark, sea urchin, Sea turtle

Step-by-step explanation:

Given that:

Animal ____ altitude

Sea turtle __ - 502

Sea urchin __ - 452

Garden eel __ - 396

Great white shark __ - 430

Arranging in decreasing order of elevation :

-396 > - 430 > - 452 > - 502

Hence, the animals can be arranged in decreasing order of elevation thus :

Garden eel, Great white shark, sea urchin, Sea turtle

Answer:

Garden eel, Great white shark, sea urchin, Sea turtle

Step-by-step explanation:

It is the same as the question before it.

|9+x|>19 absolute value

Answers

Answer:

           x ∈ (-∞ , -19) ∪ (10 , ∞)

Step-by-step explanation:

|9 + x| > 19

9 + x > 19       ∨       9 + x < -19

   x  > 10        ∨          x < -19

         x ∈ (-∞ , -19) ∪ (10 , ∞)

simply fully 2x^2-5x+3 / x^2+5x-6​

Answers

Answer:

did this help

Step-by-step explanation:

A color printer prints 21 pages in 9 minutes. How many pages does it print per minute? Round your answer to the nearest hundredth.
? = pages per minute

Answers

Answer:

2.33 = x

Step-by-step explanation:

pages minutes

21 9

x 1

Cross multiply.

21×1 = 9×x

21 9x

9 9

9 cancels 9 leaving x. and 21 divided by 9 equals 2.33 pages. NB. both sides are divided by 9 because we want x by itself and what you do to one side, you have to do to the other.

PLEASEEEE HELPPPPPP!

Answers

Answer:

We conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

[tex]x=2a-b^2[/tex]

switching sides

[tex]2a-b^2=x[/tex]

Add b² to both sides

[tex]2a-b^2+b^2=x+b^2[/tex]

Simplify

[tex]2a=x+b^2[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]

Simplify

[tex]a=\frac{x+b^2}{2}[/tex]

Therefore, we conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

please I need help in this...it's for maths please​

Answers

Answer:

1.6962 to 2.d.p = 1.700.007395 = 0.007 to 3d.p0.4247 = 0.425 to 3.d.p0.007395 = 0.0074 to 4.d.p

                Significant Figures

32549 =  32500  to 3.s.f909520 = 910000  to 3.s.f32549 = 32550 to 4.s.f909520 = 909500 to 4.s.f

Step-by-step explanation:

Answer:

hi hifsa please talk to me I wanna talk u

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