Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.

Answers

Answer 1

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.


Related Questions

What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π

Answers

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

What is the value of sin (π/2)?

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

[tex]x=\sin^{-1}(1)[/tex]

Solve it further,

[tex]\sin(x)=(1)[/tex]              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]

Put this value in the equation 1,

[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]

Thus, the range will be,

[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

https://brainly.com/question/10711389

Answer: C

Step-by-step explanation:

edge

Is this a function pls someone tell me

Answers

Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.

We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.

Hope this helps!

Answer:

yes

Step-by-step explanation:

If the line only goes through one point once than yes. Vertical line test.

Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"


HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST

PLEASE SHOW HOW YOU GOT THE ANSWER!

Answers

Answer:

4.04

Step-by-step explanation:

I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66

The volume would be about    [tex]4ft^2[/tex]

ANSWER THE QUESTION FOR BRAINLIST !!

In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .

Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010

Enter your answer by filling in the boxes

f(x) = ______ • (_______) ^x

Answers

Answer:

[tex]f(x) = 175000*1.025^x[/tex]

Step-by-step explanation:

Exponential function has the form

[tex]f(x) = ab^x[/tex]

Where a- initial value, b- growth rate

Find the growth rate b

[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]

The function is

[tex]f(x) = 175000*1.025^x[/tex]

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

a is the initial valueb is the growthx is the independent variabley is the dependent variable

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

[tex]a \implies 175000[/tex]

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?

Answers

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Step-by-step explanation:

lol it’s on wassa name ;) mark me brainliest? Btw

Here you go, your equation should look a lot like this:

x²-16 -----> (x+4)(x-4).

Find the unknown coordinate for each reflection.
Figure ABCDE is reflected across the y-axis to
form figure A'B'C'D’E

Answers

Answer:

A'=(-3,6)

B'=(-5,5)

C'=(-4,2)

D'=(-2,2)

E'=(-1,4)

Step-by-step explanation:

Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.

Hope this helps!!!

The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
-5 -4 -3
O {x | x <4.5)
O {x x 34.5}
O {x | x > 4.5)
O {x | x 2 4.5)
+
4 5
0
1
2
3

Answers

Answer:

Option b is the answer.

Step-by-step explanation:

As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.

find the volume for the shape below

Answers

30in I know that because I just did this .this is EASY!

A research firm has determined that 80% of telephone
respondents will agree to answer an opinion poll. If 20
people are contacted, what is the probability that exactly 14
people agree to be polled?

Answers

The probability that out of 20, 14 agree to answer is:

P(14) = 0.109

How to find the probability?

We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).

Then the probability that a random respondent agrees to answer the poll is 0.8

Now, the probability that out of 20, 14 agree to answer, is:

[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]

Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).

[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]

Replacing that in the probability, we get:

[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Concrete truck loaded with concrete was about 30 tons about how many pounds does the loaded concrete truck weigh

Answers

Answer:

30 tons of concrete

There are 2000 pounds in 1 ton

So 2000 pounds * 30 tons

30 * 2000 = 60000

60,000 pounds

What is 2 , 3492,349 rounded to the nearest hundred?

Answers

Answer:

See below.

Step-by-step explanation:

23,492,349

            /\

This is the hundreds place.

The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.

23,492,400

-hope it helps

In factorization, when you are factoring out a number, how do you know like which sign to out with it. Like if I’m factoring out 2 from a bracket. Which sign do I put with it ?

Answers

There’s no sign in factorization

Find the areas of the composite figure.

Answers

Answer:

Step-by-step explanation:

Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.

How many liters of water does Bao use per liter of flour?

Answers

Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)

Two functions, function A and function B, are shown below:


Function A


x y

7 21

8 24

9 27


Function B

the picture.



Which statement best compares the rate of change of the two functions? (1 point)


The rate of change of both functions is 2.

The rate of change of both functions is 3.

The rate of change of function A is greater than the rate of change of function B.

The rate of change of function B is greater than the rate of change of function A.

Answers

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?

Answers

Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

Help on this please.

Answers

Answer:

total - given, 360 -139 = 221

4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9

Answers

B I believe is the answer thank you

What is the length of LM?

Answers

Answer:

Step-by-step explanation:

The length of LM is 24√(3)

the short leg is 24

the hypotenuse is 24*2 = 48

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty 1-square-foot sections of fabric are randomly selected and cut from different bolts of fabric. They are then subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly greater than the mean rating for detergent B.

Which of the following is a valid conclusion?

Inferences can be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.

Inferences cannot be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.

Inferences can be made about the population of fabric from which the pieces were cut. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.

Inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.

Answers

The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.

What is sampling?

Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.

In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.

Learn more about sampling on:

https://brainly.com/question/17831271

Solve the equation:

[tex]6-(3w+1) = 8w-2[/tex]

Answers

Step-by-step explanation:

please mark me as brainlest

Hello!

[tex]===================================[/tex]

Step 1:

Use the Distributive Property:

[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]

Hence, the equation is

[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]

Move 8w to the left side

[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]

Combine Like Terms

[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]

Simplify

[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]

Move 6 and 1 to the right

[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]

[tex]\hookrightarrow\sf{-11w=-7[/tex]

Divide both sides by -11

[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!

Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.

Answers

Answer:

x = 4/5.

Step-by-step explanation:

7x - 1 = 2x + 3

Move one to the other side.

7x = 2x + 4

Subtract the 2x to the other side

5x = 4

Divide both sides by 5

x = 4/5.

Answer:

x = 0.8

Step-by-step explanation:

To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.

⇒ [tex]7x - 1= 2x + 3[/tex]

⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 3 + 1[/tex]

Now, simplify the RHS.

⇒ [tex]5x = 3 + 1[/tex]

⇒ [tex]5x = 4[/tex]

Finally, divide 5 both sides to isolate the x variable.

⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]

⇒ [tex]x = \frac{4}{5} = 0.8[/tex]

can someone help me please? I don't understand what I need to do​

Answers

Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation:

40 points!! Two questions (a) and (b)!!

Answers

Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more per hour.

Step-by-step explanation:

a)

[tex]m[/tex] = $ per hour

[tex]y = mx[/tex]

[tex](39) = m(2)[/tex]

[tex](39 = m(2)) = 19.50 = m[/tex]

b) Kaylee earns more per hour

Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.

Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anja’s claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.

Answers

As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

What is a histogram graph?

A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.

A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.

here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.

The histogram is skewed to the right because there is less data on the right side as the frequency decreases.

Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

Learn more about histograms here:

https://brainly.com/question/1230107

Answer:

d

Step-by-step explanation:

A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?

Answers

Answer:

volume = 138 cm³

Step-by-step explanation:

Equation

volume of a prism = base area × height

Given:

base area = 23 cm²height = 6 cm

Substituting given values into the equation:

⇒ volume = 23 × 6

                 = 138 cm³

Can you help me with this

Answers

In the case of multiplication in exponents, if the numbers are the same, their exponents are added.

7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.

Help ASAP giving 25 points
Just to read this handwriting please i really need it

Answers

Answer:

Solution:

The length of the arc part:

365 -60/360

x2x2x15=5/6 x2x2x15=252

Two segments: 2x15 = 30

All perimeter: (252 + 30) m

{divide into two parts?

Step-by-step explanation:

Is this what you wanted?

Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?

Answers

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:

Monthly payment = $3250 / 12 = $270.83

Money owed = $3,766 - $3,250 = $516

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

Find out more on equation at: https://brainly.com/question/2972832

Justin buys candy that costs $6 per pound. he will buy at most 9 pounds of candy. what are the possible amounts he will spend on candy? use for the amount (in dollars) justin will spend on candy. write your answer as an inequality solved for c.

Answers

Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078

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