Estimate. Then determine the area. Please please please, need help!

A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.

The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower

:

Let x = the width of flower bed

:

Then the overall dimensions (flower bed & lawn) will be:

(2x + 8) by (2x + 4)

:

Overall area

(2x+8)*(2x+4) = 165

FOIL

4x^2 + 8x + 16x + 32 = 165

A quadratic equation

4x^2 + 24x + 32 - 165 = 0

4x^2 + 24x - 132 = 0

Simplify, divide by 4, results:

x^2 + 6x - 33 = 0

Use the quadratic formula to solve this

Answer: [tex]y-1=\dfrac32(x+3)[/tex]

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = [tex]\dfrac{d-b}{c-a}[/tex]

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =[tex]\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}[/tex]

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

[tex](y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)[/tex]

Required equation: [tex]y-1=\dfrac32(x+3)[/tex]

Answer:

45% that either would occur, or a 5% chance both would occur.

Step-by-step explanation:

There is one overlap, 15, so it must be subtracted from one of the number lists.

3 6 9 12 15 18

5 10 15 20

6/20 + 3/20 = 9/20 = 0.45 = 45%

15 is the ONLY overlap number, so 1/20 times both would occur.

1/20 = 0.05 = 5%

Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

Answer:

24 is a and d

25 is c

26 is b

27 is a and b

28 is b

Step-by-step explanation:

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

Average rate of change ... of what?

Given some continuous function [tex]f(x)[/tex] and some interval [tex][a,b][/tex], its average rate of change over the interval is

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Without knowing what your function is exactly, I can only give a symbolic answer,

[tex]\dfrac{f(18)-f(0)}{18}[/tex]

Answer: -5/18

Step-by-step explanation: edg

Answer:

15

Step-by-step explanation:

120+135= 255

255 is 15 more than 240.

15 people enjoy both games.

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer and Step-by-step explanation:

For the first part

Tara is incorrect as she practices the softball in 4 days in a week and she do each practice of minimum one hour

So we can conclude that she practices minimum hours in a week  

For the second part

Also in 4 days, she does practice [tex]1 \frac{1}{3}[/tex] hours per day i.e [tex]5 \frac{1}{3}[/tex]

Now convert [tex]1 \frac{1}{3}[/tex] this into a fraction which comes [tex]\frac{4}{3}[/tex]

For four days, it is

= [tex]4 \times \frac{4}{3} \\\\ \frac{16}{3} \\\\ 5 \frac{1}{3}[/tex]

Step-by-step explanation:

Without multiplying, explain how you know Tara is incorrect.

How long will Tara have softball practice this week? Write your answer as a mixed number.  

Each practice is [tex]1\frac{1}{3}[/tex] hours

Each practice is more than 1 hour. so 4 days of practice is more than 4 hours.

So Tara is incorrect

Practice for 4 days

[tex]1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}=4\frac{4}{3}=5\frac{1}{3}[/tex]

More than 5 hours .

Tara will have [tex]5\frac{1}{3}[/tex] softball practice this week

Answer:

Tara will have [tex]5\frac{1}{3}[/tex]  hours softball practice this week

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

Answer:

domain = E

range = (-&,&)

Step-by-step explanation: solved by graphing calculator

Answer:

Step-by-step explanation:

If he were to find the mean then he would need to add all the numbers up and divide by the number of numbers. The answer of this would 69.1

If you find the median you would need to put the numbers in order,

2, 38, 75, 80, 88, 90, 92, 92, 95, then find the middle which would be 88.

So the better option would be finding the median. I think that this would be the best way to get the the most favorable measure of center.

I hope this helps.

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 600; rounded to 2 sig fig, the number is 690

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

Answer:

Step-by-step explanation:

[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]

Step-by-step explanation:

look it is very easy.

use formula of simple interest

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

Answer:

outliers

explanation:

Answer:

the right answer is

no d (outliers)

Answer:

since those are angles on a straight line.

we work out as follows

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]

This is a more complicated way to write [tex]y < 2[/tex]

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".

Answer:

$402

Step-by-step explanation:

Hello!

If you made 3.80 an hour and worked 40 we can multiply these to find the total amount you earned.

3.80 * 40 = 152

You also made 250 in tips so we add that to the total

152+250 = 402

The answer is $402

Hope this helps!

let Length be [tex] l [/tex] be $b$ ,

given : $l=2b$

and area, $lb=0.5294$

put $l=2b$ in equation of area,

$2b^2=0.5294 \implies b^2=0.2647 \implies b=0.5144$

and $l=1.0288$

perimeter =$2(l+b)=3.0864$ km

The perimeter of the field will be equal to 3.0864 km.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The perimeter of the rectangle is the sum of all the sides of the rectangle.

It is given that a rectangular playing field is twice as long as it is broad. If its area is 0.5294 square km.

The perimeter of the field will be calculated as below:-

let Length be b

l=2b

l x b=0.5294

Put l=2b in the equation of area,

2b²=0.5294

b² =0.2647

b=0.5144 and l=1.0288

The perimeter will be calculated as:-

perimeter =2(l+b)=3.0864 km

Therefore, the perimeter of the field will be equal to 3.0864 km.

To know more about perimeter follow

https://brainly.com/question/19819849

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Answer:

a^2 × a^4

= a^2+4

= a^6

Remember:

a^n × a^m= a^n+m

Hope it helps

if u have any question let me know in comments ^_^

Answer:

[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]

Step-by-step explanation:

Hope it helps!

Answer:

Hello,

Answer D

Step-by-step explanation:

[tex]x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D[/tex]