Mr. Richards garden is shaped like a rectangle. The length of garden is 10 meters more than twice the width. What expression represents the length in meters of a fence needed to fully surround garden​

Answers

Answer 1

Answer:

The expression for length of fence in meters is: 6w+20 meters

Step-by-step explanation:

Let l be the length and w be the width of the given garden

Then according to given statements

[tex]l = 2w+10[/tex]     Eqn 1

As we have to find the length of fence to fully surround garden that means the perimeter has to be found.

The formula for perimeter is given by:

[tex]P = 2(length+width)[/tex]

Putting the values

[tex]P = 2(2w+10+w)\\P = 2(3w+10)\\P = 6w+20[/tex]

Hence,

The expression for length of fence in meters is: 6w+20 meters


Related Questions

In the diagram below, what is the ratio of unshaded parts to shaded parts?

(The diagram) 4 shaded triangles and 12 unshaded triangles.)

4 unshaded to 9 shaded

9 unshaded to 4 shaded

3 unshaded to 1 shaded

1 unshaded to 3 shaded

Answers

Answer:It would be c

Step-by-step explanation:because every 1 shaded rectangle comes 3 shaded triangles so the ratio would be 3:1 and it would not be 1:3 because you go the way the question asks first if that makes any sense

Answer:

c

Step-by-step explanation:

An airport shuttle company owns cars that have a maximum capacity of 4 passengers and vans that have a maximum capacity of 9 passengers. They have 11 total vehicles that can combine to carry a total of 79 passengers. (7 points) A) Write a system of equations to represent this situation (hint: x = number of cars, y = number of vans). B) Solve the system of equations to determine how many cars and vans the company has.​

Answers

Answer:

what is the subject and grade please tell

Step-by-step explanation:

Answer:

sjnjsndsf

Step-by-step explanation:

jnjnjnjn

please help!
f(x)=x^2. What is g(x)

Answers

Answer:

D

Step-by-step explanation:

The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.

A. g(x) = (4x)^2

4 = (4(1))^2

4 = 16. (not true)

B. g(x) = 1/4 x^2

4 = 1/4 (1)^2

4 = 1/4 (not true)

C. g(x) = 16x^2

4 = 16(1)^2

4 = 16 (not true)

D. g(x) = 4x^2

4 = 4(1)^2

4 = 4. (true --> correct answer)

June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?

Answers

June will be 8 years old

Alyssa had 45$ to spend on 6 snacks.after buying them she had 12$ left how much did each snack cost?

Answers

Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

Divide $45 with $12, you get $3.75

To check your answer, $12 x $3.75 = $45

Each snack costs $3.75

calculate a61 for the sequence {an} ={-5,-7/2,-2,-1/2,1,...}

A. 173/2
B. 185/2
C. 85
D. 88

Answers

Answer:

C.-85

Step-by-step explanation:

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic sequence.

= a + (n - 1)d

The 61st term of the sequence is 85.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

-5, -7/2, -2, -1/2, 1

a = -5

d = -7/2 + 5

d = 3/2

Now,

The nth term of an arithmetic sequence.

= a + (n - 1)d

Now,

n = 61

61st term:

=  -5 + (61 - 1)(3/2)

= -5 + 60 x 3/2

= -5 + 30 x 3

= -5 + 90

= 85

Thus,

The 61st term of the sequence is 85.

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pls help me with this question . I dont understand.. ​

Answers

Answer:

2, 4 the domain

5, 4 the range

2,4 domain , 5,4 range .

What is the solution to the inequality −2x+8<3(2x−4)?

Answers

Answer:

x>5/2

Step-by-step explanation:

25. Solve for x. 12x -15 = 129
O
x = 15
O
x=-12
O
x = 12
x= -15

Answers

x = 12

Work shown in picture

What is the coefficient of 7y

Answers

7 duhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

7

Step-by-step explanation:

PLEASE I NEED HELP WITH MATH HOMEWORK

Answers

Answer:

x=59

Step-by-step explanation:

3x+3=180

3x=177

x=59

x^3y-xy^3

factorize the expression​

Answers

Answer:

[tex]xy(x + y)(x - y)[/tex]

Step-by-step explanation:

[tex] {x}^{3}y - x{y}^{3} [/tex]

Taking xy common ,

[tex] = > xy( {x}^{2} - {y}^{2} )[/tex]

We know that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b) [/tex]

So,

[tex] = > xy(x + y)(x - y)[/tex]

2.) Tyler has a baseball bat that weighs 44 ounces. Find this weight in
kilograms. (NOTE: 1 kilogram = 35 ounces) *

Answers

Answer:

1.9 Kilograms.

Step-by-step explanation

To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos

Answer:

    nnn nn

Step-by-step explanation:

mmmmmmm

Find the length of AB

Answers

x=3
that is the answer

Answer:

AB is 15

Step-by-step explanation:

AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:

5x = 4x + 3

subtract 4x from both sides

x = 3

Now u have x, put it in the equation

5x = 5(3) = 15

The student council wants to rent a ballroom for the junior prom. The ballroom’s rental rate is $1500 for 3 hours and $125 for each additional half hour. Suppose the student council raises $2125. What is the maximum number of hours for which they can rent the ballroom?

Answers

They can rent it out for the additional 5 times

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

I think its D because don’t functions only have 1 equation?

Answer:

d

Step-by-step explanation:

it is d, because functions will only have 1 equation until worked out.

hope this helped ;)

Help me please I tried every possible way and got it wrong if you get it right I will mark you brainilest

Answers

Answer:

Did you try 227+6=233 then subtract 52??

Step-by-step explanation:

Write an equation for the line that passes through (-2,4) and (0,7)

Answers

Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7

At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question and the graph in the attached file.

[tex]\to \frac{12}{l}= \frac{5.5}{l-x}\\\\\to 12(l - x) = 5.5l\\\\\to 12l - 12x = 5.5l\\\\\to 12l -5.5l = 12x\\\\\to 6.5l =12x\\\\\to 12x = 6.5l \\\\\to x = ( \frac{6.5}{12})l \\\\[/tex]

Calculating the Derivative of the above value:

[tex]\to \frac{dx}{dt} = (\frac{6.5}{12}) \frac{dl}{dt}\\\\\to \frac{dl}{dt} = (\frac{12}{6.5}) \frac{dx}{dt}\\\\\to \frac{dx}{dt} = 2 \\\\ \to \frac{dl}{dt} = ( \frac{12}{6.5} \times 2)[/tex]

        [tex]=\frac{24}{6.5} \\\\= \frac{48}{13} \ \frac{ft}{sec}[/tex]

by subtracting the rate of the shade from that of the man:

[tex]\to \frac{48}{13} - 2 \\\\ \to \frac{48-26}{13} \\\\ \to \frac{22}{13} \ \frac{ft}{sec}[/tex]

WILL GIVE BRAINLEST plz help meeeeeeeee

Answers

Answer:

4

Step-by-step explanation:

Which expression gives the measure of angle
XYZ in the diagram below?

A. (154° + 46°)
B. 154° + 46°
c. 1/2 (154° -46° )
D. 154° - 46°

Answers

Answer:

C. 1/2(154-46) hope this helps :)

Step-by-step explanation:

The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.

What is angle ?

Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

We have,

Arc ST = 46°, and

Arc XZ = 154°

Now,

We know that the measure of the arc is same as that of central angle.

Now,

Join X and T,

Now,

We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.

So,

Angle XTZ [tex]=\frac{154}{2}[/tex]

And,

Angle SXT [tex]=\frac{46}{2}[/tex],

Now,

∠XTZ = ∠XYZ + ∠SXT  [Exterior angle is equal to the sum of interior opposite angles]

So,

∠XYZ = ∠XTZ - ∠SXT

Now,

Substituting the values,

We get,

∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]

i.e.

∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]

So, measure of angle XYZ is  [tex]\frac{1}{2} (154-46)[/tex] .

Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.

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The multiplication table below can be used to find equivalent ratios. A multiplication table. Which ratio is equivalent to the ratio 18:24? 15:20 20:15 30:36 36:30

Answers

Answer: 15:20

Step-by-step explanation:

18=6*3

24=6*4

now 15=5*3

20=5*4

Answer:THE answer IS 15:20

Step-by-step explanation:ToOk ThE TeSt PlS MaRk Me BrAiNlIeSt NeEd AwArD

you have 15 milk chocolate Valentines and 10 dark chocolate Valentine.What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.​

Answers

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

Please Answer Fast i dont have time

Answers

Answer:

X✓X✓✓X

Step-by-step explanation:

Answer:

2/12

3/18

4/24

Step-by-step explanation:

Given m||n, find the value of x.
+
(6x+10)
(10x+10)°

Answers

Answer:

(6x+10)°=(6x+10)°[vertically opposite angle]

now,

6x+10+10x+10=180°[being cointerior angle]

16x=180-20

x=160%16

x=10°

2x - y + 3z = -6
-x + 2y - 3z = 12
y + 5z = -6

Answers

Answer:

Solving the system of equations we get:

x=2, y=4, z=-2

Step-by-step explanation:

We need to solve the system of equations

[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]

Let:

[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]

First we find value of y from equation 3

[tex]y+5z=-6\\y=-6-5z[/tex]

Put value of y in equation 1

[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]

Now, put value of y in equation 2

[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]

Multiply equation 5 with 2 and add both equations 4 and 5

[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]

So, we get z=-2

Now put value of z in equation 3

[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]

So, we get y=4

Now, put value of y=4, and z=-2 in equation 1

[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, solving the system of equations we get:

x=2, y=4, z=-2

Which of the answer choices below gives the correct formula for the lateral
surface area (that is, not including the bases) of a regular prism?

Answers

Answer:

It’s B

Step-by-step explanation:

I just did it

natalie went skydiving, she jumped out of the plane at 3,080 feet above the ground. at 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. at this point, how far is she from the plane?

Answers

Answer: 1675 feet

Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.

We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet

The question is below. Tks

Answers

Step-by-step explanation:

Remember the identity sin²x + cos²x = 1.

Therefore 1 - cos²x = sin²x and 1 - sin²x = cos²x.

sqrt(1 - cos²x) / sinx + sqrt(1 - sin²x) / cosx

= sqrt(sin²x) / sinx + sqrt(cos²x) / cosx

= sinx / sinx + cosx / cosx

= 1 + 1

= 2. (H)

2. Which of the following is the standard form of a linear equation in two variables?
A. y = mx + b
B. y = mx - b
C. Ax + By = C
D. Ax – By = C​

Answers

Answer:

C. [tex]Ax+By=C[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex]

standard form: [tex]Ax+By=C[/tex]

2. Which of the following is the standard form of a linear equation in two variables?

A. y = mx + b

B. y = mx - b

C. Ax + By = C

D. Ax – By = C

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