Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answers

Answer 1

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14


Related Questions

I’m in a rush and I need to find the answer quickly

Answers

Answer:

It would be

(1, -3) or D :]

order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest​

Answers

Answer:

2^9=512

5.9*10^2=590

9^3=729

5^4=625

6.81*10=68.1

6.81 × 10¹, 2⁹, 5.9 × 10²,  5⁴, 9³

The sum of the interior angles of
an n-sided polygon is 3600. The
value of n is [? ].

Answers

Answer:  22

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

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

3600 = 180(n-2)

3600/180 = n-2

20 = n-2

20+2 = n

22 = n

n = 22

Bianca calculated the height of the equilateral triangle with side lengths of 10.

tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.

A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.

The apothem, rounded to the nearest tenth, is
units.

The perimeter of the equilateral triangle is
units.

Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.

The calculated areas are
.

Answers

Answer:

The apothem, rounded to the nearest tenth, is

2.9 units.

The perimeter of the equilateral triangle is

30 units.

Therefore, the area of the equilateral triangle is

1/2(2.9)(30), or approximately 43.5 units2.

The calculated areas are

the same, despite using different formulas.

Step-by-step explanation:

Edge

Use the function z=7c to find the value of z when c=8.

Answers

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

Which value of y makes the equation y+4.2=21 true?

Answers

Answer:

16.8

Step-by-step explanation:

21-4.2= 16.8

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

3.52 in expanded form

Answers

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Convert -439° to radians

Answers

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

what does FSS stand for in math

Answers

Answer:

frequency-selective surface (FSS)

HOPE I MADE YOU SMILE!!

Answers

Answer:

ok points

Step-by-step explanation:

Answer:

Thank You so much.....You made me smile lol :D

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

B

Step-by-step explanation:

For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get

1.09x + 1.59y + 1.59z

Write an Equation for each of the lines on the graph.

Answers

NOTE: for C there is an x after -4.1176

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14

Answers

Answer: y=-6

Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?

Please show work

Answers

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

Can you Explain your thinking.

Answers

Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

could someone explain this to me? ​

Answers

Answer:  f(x) = 3x^3 - 15x^2 + 12x - 60

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

Explanation:

Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.

x = 2i

x^2 = (2i)^2

x^2 = 4i^2

x^2 = -4

x^2+4 = 0

You should find that the root x = -2i leads to x^2+4 = 0 as well.

So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.

We'll multiply those two factors mentioned:

(x-5)(x^2+4)

w(x^2+4) ..... let w = x-5

wx^2 + 4w

x^2(w) + 4(w)

x^2(x-5) + 4(x-5) .... plug in w = x-5

x^3 - 5x^2 + 4x - 20

----------

The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.

So we go from this

x^3 - 5x^2 + 4x - 20

to this

3x^3 - 15x^2 + 12x - 60

after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.

Amy is solving the equation using the steps shown.



Which could be the correct next step in solving the equation?


Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.

Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.

Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.

Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.

Answers

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

Read more about equations at:

https://brainly.com/question/7674413

pls help me solve this​

Answers

Volume = Area of triangle x length


Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 4

Area of triangle = 10


Volume = area of triangle x length

Volume = 10 x 12

Volume = 120 cm^3

n less than 10
.......................

Answers

Answer:

n<10

Step-by-step explanation:

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS HELP URGENTT

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

What is [-2,-4] and [1,0]

Answers

Answer:

m=4/3

Step-by-step explanation:

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?

Answers

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Learn more about the sample space here;

https://brainly.com/question/11666439

#SPJ2

Q.

10! (Factorial)

note : Don't be bullied, I'm not beautiful:v​

Answers

Answer:

The value of factorial of 10 is 3628800,

i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ [/tex]

The \: value of factorial of 10 is , i.e. 10!= 3628800

Can someone help me with this, and if you can Explain it.​

Answers

Answer:

20

Step-by-step explanation:

Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:

x+4=3x-10

Solve:

14=2x

x=7

Then we find AC, which is:

2x-5+x+4 = 3x-1

We can plug x in to get:

3*(7)-1=20

Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPhone is replaced is approximately normally distributed, what is the probability that the phone will need to be replaced between 60-75 months? A 47% B 82% C 54% D 68%​

Answers

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.

Answers

The height is 15meters long

The height of the triangle is 15 meters.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles

Right triangle Equilateral triangle Isosceles triangle Scalene triangle

Area of a triangle = 1/2 (base x height)

height = (2 x area ) / base

(2 x 67.5) / 9

= 135 / 9

= 15 meters

Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890

50 squared is rational

True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens

Answers

Answer:

P = 3.86n

Step-by-step explanation:

the price will be how many sets you buy multiplied by the price.

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