Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?

Answers

Answer 1

Answer:

[tex]27,648,000[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].

He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.

Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].

Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.


Related Questions

Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?

Answers

Answer:

108.16

Step-by-step explanation:

The question and possible answer are in the picture thank you!

Answers

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer: m^8

Explanation:

PLEASE HELP!!!!! 25 POINTS!!!!!!

Answers

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

In the parallelogram, every two opposite sides are equal in lengths

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

∵ DE = 6x - 12 and GF = 2x + 36

→ Equate them

6x - 12 = 2x + 36

→ Subtract 2x from both sides

∵ 6x - 2x - 12 = 2x - 2x + 36

∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

∴ 4x = 48

→ Divide both sides by 4

x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

6y - 42 = 4y

→ Add 42 to both sides

∵ 6y - 42 + 42 = 4y + 42

∴ 6y = 4y + 42

→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

y = 21

The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21

can u pls help me with this question ​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

PLEASE ANSWER I WILL MARK AS BRAINLIESTTTTTT
Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a + 40b

Step-by-step explanation:

hope this helps!

Answer: 56a + 40b

Step-by-step explanation:

43a - 12b + 13a + 52b

Bring like terms together

43a + 13a - 12b + 52b

Combine like terms

56a + 40b

Hope that helped!

x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)

Answers

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.

Answers

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.

does anyone know how to do this? If so can you please help me?!

Answers

4*4*4*4 so basically putting 4 in 5 groups

I need some help ? Does anyone know this:)I’m new too this thats why im asking loll

Answers

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency

Answers

If this job pays 1100 a week, in four weeks Cherie would make 4400. If she’s giving a 30% cut to the agency for four weeks, she’d be giving 330 of every weeks paycheck. At the end of those four weeks, she’d end up giving $1,320 to the agency.

Cherie owes the employment agency amount of $1,320.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ6

Which inequality is graphed on the coordinate plane?

Answers

Answer:

B

Step-by-step explanation:

The slope is 4/1 which equals 4

the y int is 2

this gives us 4x+2

the line is dotted which mean there is no equal sign with the inequality

The shaded area is above the line, meaning y is greater

Does anyone get this?

Answers

noo i don’t get it lol

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?

Answers

Answer:

The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Solution:

The expression to Michael earnings is:

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales  2500

Solve the inequality

 Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)

Answers

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?

Answers

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors

Answers

Answer: (D) a law that banned stores from selling violent video games to minors
Pretty sure it's D, just looked it up and it says that the US Supreme Court struck down a 2005 California Law banning the sale of certain violent video games to children without parental supervision. Hope that helped!

i need to know the answer

Answers

Answer:

A.

Step-by-step explanation:

Combine 7 and -3 to get 4

4+7xy is the answer

Answer:

Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy

Step-by-step explanation:

8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?

Answers

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

X^2+2x+1=4 complete the square

Answers

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

x= 1 or x= -3 is the right answer.

p(x) = -2x – 2; Find p(-3)

Answers

p(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4
The answer is p(3)=4

On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.

Answers

Answer: 0.44

Step-by-step explanation:

What is the value of the expression (0.4)​2​

Answers

If you meant multiple it’s 0.8 but if you meant to the power of 2 it’s 0.16

Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?

A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3

Answers

Answer:

The answer is A. 5m - 3

Step-by-step explanation:

Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

These are from the same question

Answers

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation:

Can someone help me?

Answers

Answer:48miles

solution on the picture

if it's helpful ❤❤❤

THANK YOU

what is 4 × 10^2 in scientific notation?​

Answers

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

in scientific notation 4 × 10^2
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