10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work

Answers

Answer 1

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

Related Questions

What is the median out of 55,85,95,100,105,122,158,162,165,174

Answers

The answer is 122.1.

113.5 because I said so and you better believe me.

A pencil costs $0.30 and a pen costs $0.50. You buy 10 pencils and the total Is $7.50. How many pens did buy?

Answers

The answer is 9.
This is because if you buy 10 pencils, it will cost a total of three dollars. 0.30 times 10=3.00. You then subtract this amount by 7.50, getting 4.50. 4.50 is the total amount that was spent on pens, but since you are trying to figure out how many pens were bought, you divide 4.50 by the cost of one pen (0.50).
This gives you 9.

Hope this helps~

1. Which graph models the equation y = 3.5x?
2. Determine the equation of the line given by the graph.
A)y = 3x + 2(Wrong, I'm retaking the test)
B)y = 3x − 2
C)y = 1/3x + 2
D)y = 1/3x − 2
3.Determine the equation of the line given by the graph.
A)y = 2/3x - 1
B)y = 3/2x - 1
C)y = -2/3x - 1(Wrong, retaking)
D)y = -3/2x - 1
4.Determine the equation of the line given by the graph.
A)y = 5/3x - 4
B)y = 3/5x - 4
C)y = -5/3x + 4
D)y = -3/5x + 4

Answers

1) is C because the line is increasing not decreasing and it goes up 7 & right 2.
2) the y-intercept is -2 and the slope is up 3 over 1, so the answer has to be B
3) the answer is A because the up 2 over 3
4) the y-intercept is a positive 4, and the slope is going down 3 and to the right 5, and the line is decreasing so you know it has to be negative. the answer is D

Which is the best display for the set of the number of daily 911 calls made during a month, if you want to be able to identify the mode?

A. Histogram with intervals of 5
B. Histogram with the intervals of 3
C. Line plot
D. Line graph

Please help me I can not and I mean CAN NOT figure this out by myself. So please please please help me ASAP!!!!!!!!!!!!!!!!!!!!

Answers

It is indead D. Line graph shows information over time.

Answer:C

Step-by-step explanation: It is line plot. The key word is mode. You can identify the mode more easily from a line plot than a line graph.

A school is constructing new tennis courts. Each rectangular court will be enclosed by a 600 ft fence. The length of the rectangular region will be 60 feet longer than the width. What are the dimensions of the new courts? Use an equation or a system of equations to explain how you determined your answer.

Answers

The dimensions are 120 ft by 180 ft.

Let L be the length. We know that L is 60 feet more than the width, or w+60=L.

We know that the perimeter is given by 2w+2L; in this case, we have 2w+2(w+60) = 600

Using the distributive property, we have
2w+2*w+2*60 = 600
2w+2w+120 = 600

Combining like terms,
4w+120=600

Subtract 120 from both sides:
4w+120-120 = 600-120
4w = 480

Divide both sides by 4:
4w/4 = 480/4
w=120

The width is 120; the length will be 120+60 = 180

(9r-5)-(-4r+9)
[tex](9r - 5) - ( - 4 + 9) [/tex]

Answers

The first step for solving this expression is to remove the first set of parenthesis.
9r - 5 - (-4 + 9)
In order to find the sum inside the parenthesis we must keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger. This will look like the following:
+ (9 - 4)
Now subtract the numbers and add it back into the expression.
9r - 5 - 5
Now we will calculate the difference between -5 - 5 and add it back into the expression.
9r - 10
Since we cannot simplify this any further,, 9r - 10 is going to be the correct answer to your question.
Let me know if you have any further questions.
:)

Find the slope of the line.

A.) -7/2
B.) -2/7
C.) 7/2
D.) 2/7

Answers

The answer is C.
Starting from the bottom point, you go up 7 and go to the right 2, which makes the slop 7/2

The answer is c Hope this helps!!!

On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski

Answers

10 different groups can ski.

This is a combination of 5 items taken 3 at a time:
[tex]_5C_3=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{120}{12}=10[/tex]

Merl is a canadian exchange student in china and he currently has 12000 yuan in his bank account. If the exchange rate changes from 1 canadian dollar= 6.78 chinese yuan what happens to the value in canadian dollars of the money in merla bank account

Answers

Merl has 12,000 yuan, which if you divide by 6.78, gets you 1769.9115, in money terms is $1,769.91. So he has 1,769.91 Canadian dollars.

First Response gets brainliest!

Number 18 BTW!

Answers

120 * percentage = 72
percentage = 72/120
percentage = 0.6

The lamp is 60% of its original price. This means that the percentage discount is 40%.

Simplify
(4y^2-13y+3)/2y^2-5y-12 multiplied by
(2y^2+9y+9)/16y^2-1) Multiplied by
(Y^2+3y-28)/y^2-9)

Answers

After factoring each polynomial and canceling the resulting binomials that appear in both the numerator and denominator, you are left with this fraction for your answer:

[tex] \frac{y+7}{4y+1} [/tex]

As a wedding treat, a couple plans to order 600 candles. The choice they have for the color of the candles are silver, gold, white, or teal. The couple asks 50 random guests what color they would prefer, and the results of the survey are given in this table.
Based on the results, which
Interim Checkpoint:
Grade 7 Checkpoint 4 - Part 1

Assessment items

As a wedding treat, a couple plans to order 600 candles. The choice they have for the color of the candles are silver, gold, white, or teal. The couple asks 50 random guests what color they would prefer, and the results of the survey are given in this table.
Based on the results, which color should the couple order?

white

silver

gold

teal
Color
Frequency
Silver
18
Gold
19
White
7
Teal
6

color should the couple order?

Answers

Hello!

Since gold is what most people wanted the answer is gold

The answer is gold

Hope this helps!

Answer:

C. Gold

Step-by-step explanation:

We are given that,

The frequency table for the preference of different colors is given by,

Color Frequency

Silver 18

Gold 19

White 7

Teal 6

As we see that,

The table shows that out of 50 random people, most people preferred the color 'Gold' over any other color.

Hence, the couple should order 'Gold' colored candles.

Which table shows the function y = -2x + 4? A) x y 0 4 1 2 2 0 B) x y 1 25 2 26 3 27 C) x y 0 -4 1 -2 2 0 D) x y -1 6 -2 8 -3 12

Answers

The answer is A.

From looking at the A graph, you must plug in the x variable into y = -2x + 4.

y = -2(0) + 4 = 4
y = -2(1) + 4 = 2
y = -2(2) + 4 = 0

Can you help me list the following stocks and bonds in order from highest default risk to lowest default risk?
-A municipal bond in a city with a population of 150,000
-A common stock in a company under federal investigation
-A preferred stock in a 150-year old firm with good business practices

Answers

Final answer:

From highest to lowest default risk, the investments would likely be ranked as follows: common stock in a company under federal investigation, a municipal bond from a relatively small city, and preferred stock in a stable, long-established firm.

Explanation:

The default risk of a financial investment is the likelihood that the issuer of the instrument will be unable to meet their obligations, thereby causing a default. From the highest to lowest default risk, the list would likely be:

Common stock in a company currently under federal investigation: This company has the highest default risk because the investigation could lead to penalties, disruptions in its business, or damage to its reputation.A municipal bond from a city with a population of 150,000: Though generally considered safe, these bonds can still go into default. The default risk here is lower than the stock under investigation because municipal bonds are backed by the taxes and revenue of the municipality, making them more stable than corporations which are dependent on their business performance.A preferred stock in a 150-year old firm with good business practices: This has the lowest default risk. Preferred stocks have a lower risk than common stocks because they receive dividends before common stock and have a higher claim on the assets in case of bankruptcy. The age of the firm and its good business practices also suggest stability and reduced risk.

Learn more about Default Risk here:

https://brainly.com/question/34906573

#SPJ2

Write an equation in standard form for the line whose slope is undefined and and passes through (-6,4).

Answers

A line whose slope is undefined has no finite slope; the line is a vertical one.
A vertical line has an equation of the form x = k. In this case, since the line passes thru (-6,4), the eq'n of the line is x = -6.

The equation represents a vertical line passing through the point (-6, 4) is x= -6.

When the slope is undefined, it means that the line is vertical.

In this case, the line passes through the point (-6, 4).

A vertical line has the equation of the form x = k, where k is a constant. Since the line passes through (-6, 4), the equation of the line in standard form is:

x = -6

This equation represents a vertical line passing through the point (-6, 4).

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

Plzz help me im going to most more like this because im not understanding it

Answers

Hi there!

In order to solve, you can use substitution. This means that you use one equation and solve for one variable, then use that one equation and plug it into the other equation. Here's how we'd do it:

WORK:
x = 12 - y (since x is already solved for, we'll use that to plug into the other given equation.
2(12 - y) + 3y = 29 (using substitution)
24 - 2y + 3y = 29
24 + y = 29
y = 5
Plug the value of y back into the first equation
x = 12 - 5
x = 7

ANSWER:
A - x = 7, y = 5

It seems as though you're having some trouble with these questions, PLEASE MESSAGE ME!! I'd be more than happy to help you work through as many problems as you need until you get the hang of it (plus, it doesn't cost you any points!)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?

Answers

I think y ou meant "one thirtieth of an hour."

What is her ratet:

(1/2) mile 1*30 mile
-------------- = --------------- = 15 mph
(1/30) hr 2*1 hr

She could travel (15 mph)(1 hr), or 15 miles, in 1 hour.

0,5miles-90min
x miles-60 min
0.5*60/90=0.33

answer:0.33 miles

Find the values for a and b that would make the following equation true. (ax^2)(-6x^b) = 12x^5

Answers

[tex]\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3[/tex]

[tex]Answer:\ a=-2;\ b=3[/tex]

whats 6.09 billion in scientific notation?

Answers

(6.9 x 10^9)

hope this helps!

the answer is 6.5 x 10^11

PLEASE HELP, ASAP!

Deborah is planting a rectangular garden. The garden is 15.25 feet long and 12.5 feet wide.

The formula for the area of a rectangle is A=bh.

What is the area of the garden?

Enter your answer as a decimal in the box.

Answers

27.75 hope it helps!

Answer: [tex]190.625\text{ feet}^2[/tex]

Step-by-step explanation:

Given: Deborah is planting a rectangular garden.

The breadth of the garden (b)= 12.5 feet

The length of the garden (h)= 15.25

The formula for the area of a rectangle is given by :-

[tex]A=bh\\\\\Rightarrow\ A=12.5\times15.25\\\\\Rightarrow\ A=190.625\text{ feet}^2[/tex]

Therefore, the area of the garden = [tex]190.625\text{ feet}^2[/tex]

I can’t remember what distributive property is.

Answers

The distributive property is a special way where multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as:

a(b + c) = ab + ac.

Does this help in any way?

So technically, you multiply the number outside the parentheses (which is 8) by the numbers inside the parentheses. But you have to do whatever the math symbol is. If it's division, divide the number outside to the numbers inside. So in this case, it will be

1) 8 times 3x which will equal to 24x
2) 8 times 5= 40
3) The last step is to put them together which will be 24x + 40. You can't add them together because one is a number and one is a number with a variable.
4) Answer=24x+40 (hope this helps)

Which expression is equivalent to the expression shown please help!!!

Answers

Answer:

[tex]5^{15}[/tex]

Step-by-step explanation:

[tex]\frac{(5^3)^9}{5^12}\\\\\frac{5^{3*9}}{5^12}\\ \\\frac{5^27}{5^12}\\ \\ 5^{27-12}\\ \\ 5^{15}[/tex]

How do you divide fractions

Answers

Use the Keep, Change, Flip method.

Keep the first fraction.
Change the division sign to a multiplication sign.
Flip the last fraction (reciprocal).

Example:
3/4 ÷ 1/2

Keep the 3/4.
Change the ÷ sign to ×.
Flip the 1/2 to 2/1.

New equation:
3/4 × 2/1 = 6/4 ⇒ 3/2

The answer for 3/4 ÷ 1/2 is 3/2.

How I learned it is the same way as doing it normally

Lara solved an equation incorrectly, as shown below:

Step 1: 2x = 18
Step 2: x = 18 − 2
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Lara's solution?

A) She did not divide 18 by 2.
B)She did not add 2 to 18.
C)She did not multiply 18 by 2.
D) She did not multiply 18 two times.

Answers

The answer is b. 18/2=9

We have been given the steps to solve the equation as

Step 1: 2x = 18

Step 2: x = 18 − 2

Step 3: x = 16

There is an error in step 2.

We have [tex]2x=18[/tex]

x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.

So we must divide both sides by 2.

Therefore, A is the correct option.

A) She did not divide 18 by 2.

What property is used to say that the expressions 5x + 7 - 2x is equivalent to the expression 5x - 2x + 7?

Commutative, distributive, associative or identity

Answers

i want to say it is the Commutative Laws

The commutative property says that 5x + 7 - 2x = 5x - 2x + 7.

The order does not matter and does not change the answer.

the odometer in Mr Washington's car does not work correctly the odometer recorded 13.2 miles for his last trip to the hardware store but he knows the distance traveled is 15 Mi what is the percent error

Answers

12 percent is the error.

Factor out the coefficient of the variable 5/6s+4/6

Answers

Okie, we find out the coefficient
5/6 s+ 4/6= 1/6 x 5s+ 1/6 x 4= 1/6(5s+4)

we have done this
Have a good day

A coin is flipped five times. Find the number of possible sets of heads and tails that have 2 heads. a. 0 c. 5 b. 1 d. 10

Answers

There is a possibly of getting tails is 5 and the chance of getting heads is 5 as well

D. The amount of possible sets is C(5,2), which is equal with 10.

vic is driving 450 miles to his grandma's house. if vic can drive 25 miles per gallon of gas,how many gallons if gas will he use round trip

Answers

In order to find the answer to this question, you need to multiply 450 by 2 to find the amount of miles in the round trip, which is 900.

Next, you divide 900 by 25, because that will leave you with the amount of gas it needs.

So the answer is 36.

P.S. I don't know if 450 miles is round trip or it is half. But if it is half, the answer would be 18

Which of the following shows that polynomials are closed under subtraction when polynomial 3x2 + 4 is subtracted from x2+ 2x + 5?
−2x2 + 2x + 1 may or may not be a polynomial
2x2 − 2x − 1 will be a polynomial
−2x2 + 2x + 1 will be a polynomial
2x2 − 2x − 1 may or may not be a polynomial

Answers

For this case we have the following polynomials:
[tex]3x ^ 2 + 4 x ^ 2 + 2x + 5[/tex]
Subtracting both polynomials we have:
[tex](3x ^ 2 + 4) - (x ^ 2 + 2x + 5) [/tex]
Subtracting terms from the same exponent we have:
[tex]x ^ 2 (3-1) - 2x + (4-5) [/tex]
Rewriting we have:
[tex]2x ^ 2 - 2x - 1 [/tex]
Answer:
[tex]2x ^ 2 - 2x - 1[/tex] will be a polynomial

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