The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path​

[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]

Answer:

This doens't realy make sense dude

Answer:

A

Step-by-step explanation:

[tex](1-\sin^2 x) \tan x \\\\=\cos^2 x \cdot \dfrac{\sin x}{\cos x}\\\\=\cos x \sin x[/tex]

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

-11/20

Step-by-step explanation:

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

first you want to get a common denominator (number on the bottom)

[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]

now you can subtract the numerators (number on tope) (also don't touch bottom)

[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]

Answer:

-67/12168

Step-by-step explanation:

(5/12-11/13)/3/26​ Find the least common denominator to get

65/156 - 132/156 = -67/156

-67/156 /3 /26 multiply -67/156 by 1/3 to get -67/468

-67/468 /26 multiply -67/468 by 1/26 to get 12168

-67/12,168

Answer:

8

Step-by-step explanation:

3(x - 2) = 6

3x - 6 = 6

x - 6 = 2

x = 8

hope it helps :)

mark brainliest!!

Answer:

7, 9, 11

Step-by-step explanation:

question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.

make the 3 consecutive odd intergers x, y, and z.

numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:

x+2=y

y+2=z

given that: "difference of twice the second and the first is 11."

difference means subtraction

second number is the variable y

first number is the variable x

2y-x=11

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

3 equations:

2y-x=11

x+2=y

y+2=z

----------solve by substitution

x+2=y

x =y-2 into 2y-x=11

2y-(y-2)=11

2y-y+2=11

y=9

second number is 9

-----

numbers are 7, 9, 11

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

[tex]\mathfrak{215+70+2x+13x=360} [/tex]

[tex]\mathfrak{285+15x=360} [/tex]

[tex]\mathfrak{15x=360-285} [/tex]

[tex]\mathfrak{15x=75} [/tex]

[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]

[tex]\underline{\mathfrak{x=5}} [/tex]

So,

2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]

13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]

[tex]\mathbb{MIREU} [/tex]

Answer:

x=6,y=4

Step-by-step explanation:

10x-9(x-2)=24

10x-9x+18=24

x=24-18

x=6

sub x

y=6-2

y=4

Answer:

x=6 y=4

Step-by-step explanation:

Substitute x-2 in for y: 10x-9(x-2)=24

Distribute: 10x-9x+18=24

Subtract 10x-9x=1x

Subtract 18 from both sides

x=6

Substitute 6 for x

y=6-2

y=4

x=6 y=4

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

Answer:

The bisector of a given angle

Step-by-step explanation:

Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.

Answer: I do not think this problem is solvable; the cost of apples and oranges at the stores are different

Answer:

9

Step-by-step explanation:

5 x 3 = 15  and 5 x H = 45

45 / 5 = 9

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

2) 20cm=200mm

225÷200×100

=112.5%

Step-by-step explanation:

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

Step-by-step explanation:

Answer:

Adelina

Step-by-step explanation:

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

[tex]\boxed{\boxed{\Large \text{Ted will run 60 kilometres in 285 minutes.}}}[/tex]

Using the distance-time-speed relationship:

[tex]\boxed{\Large \text{speed = $\frac{\rm distance}{\rm time}$}}[/tex]

[tex]\boxed{\Large \text{distance = speed $\times$ time}}[/tex]

[tex]\boxed{\Large \text{time = $\frac{\rm distance}{\rm speed}$}}[/tex]

so if Ted can run 20 kilometres (distance) in 95 minutes (time), then his speed = 20 ÷ 95 = 4/19 km/min.

Using this result, to calculate how far Ted will run in 285 minutes, we can say that distance = 4/19 × 285 = 60 kilometres.

∴ Ted will run 60 kilometres in 285 minutes.

[tex]\hrulefill[/tex]

To learn more about speed:

https://brainly.com/question/31756299

Answer:

Lower quartile 3, median 5, Upper quartile 7

Step-by-step explanation:

First divide the data in half  1 3 4  and 6 7 7

The median is the middle between 4 and 6, so it is 5.

The lower quartile is the median in the lower half, 3

The upper quartile is the median in the upper half, 7

Answer:

A\ B=-30

Step-by-step explanation:

Y=mx +b, Y=10,X=2 ,m=4

10=4*10+b

10=40+b

-40+10=b

b=-30

I GUESS...

Answer:

y=-4x+18

Step-by-step explanation:

y-y1=m(x-x1)

y-10=-4(x-2)

y=-4x+8+10

y=-4x+18

Answer:

-13x. (I think)

Step-by-step explanation:

Answer:

18 cards

Step-by-step explanation:

Answer:

$12.96

Step-by-step explanation:

Before Tax Price: $12.00

Sale Tax: 8.00% or $0.96

After Tax Price: $12.96

Answer:   (1,-5)

In other words, x = 1 and y = -5

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

Work Shown:

6x + y = 1

6(1) + y = 1

6 + y = 1

y = 1-6

y = -5

The solution as an ordered pair is (1,-5)

Notice I started with the second equation and substituted in the first equation. The idea is to somehow reduce the two variables into one variable, so you can solve for that remaining variable.

Answer:

6x+y=1

or,6×1+y=1

or,6+y=1

or,y=6-1

ans,y=5

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

Explanation:

He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.

85% in decimal form is 0.85

The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.

The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901

This tells us that Andrew's father pays 90.1% of the original bill

0.901*40 = 36.04 dollars

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

An alternative method:

15% of $40 = 0.15*40 = 6

Andrew's father saves $6

The bill of $40 drops to 40-6 = 34 dollars before tax.

6% of $34 = 0.06*34 = 2.04

The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Answer:

About 2.9 pounds per day.

Step-by-step explanation:

20÷7=2.85714...

rounded- 2.9

So Tank, the Great Dane, ate about 2.9 pounds per day.

Answer:

Step-by-step explanation:

2 6/7

Step-by-step explanation:

2x - 17 = - 53

2x = - 53 + 17

2x = - 36

x = - 36/2

x = - 18

Answer:

x = -18

Step-by-step explanation:

2x - 17 =  -53

    +17 = + 17            Add 17 to both sides

2x       =   -36            

  x = -36 ÷ 2           Divide by 2

   x = -18