Dan is cutting 4.75-foot lengths of twine from a 249-foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.

Answers

Answer 1

To show that Dan's statement is reasonable, we can set up an equation to represent the situation. Let's let x represent the number of feet of twine that Dan has cut.

We can then set up the following equation: [tex]4.75x = 249 - 40.5[/tex]

Solving for x, we find that x = 42. This means that Dan has cut 42 lengths of twine, which is what he said he would do.

Since the number of lengths of twine that Dan has cut and the amount of twine that will remain match what Dan said, his statement is reasonable.


Related Questions

Can someone help, please

Answers

slope intercept form = y = mx + b where m = slope and b = y-intercept.

You know that:

slope = 2

y-intercept = -8

y = 2x + (-8)

slope intercept form = y = 2x - 8

y=2x+-8
thats the answer u welcome

Two questions added in both images.

Answers

Answer:

17.876

Step-by-step explanation:

my math teacher Mr.Q

17.876
Hope this helped!!!!!!

If you are planning on leaving 20% tip to the waiter and your meal costs $89.95, how much will you pay all together?

Answers

Answer: $107.94

Step-by-step explanation: The bill cost $89.95 with a tip amount of 20% you would end up spending $107.94 if you are not splitting the bill

Answer: 107.94: The total you pay is 107.94

Step-by-step explanation:
Total before the tip is 89.95

20% of 89.95 is equivalent to 0.20 x 89.95, which equals 17.99

add this tip, 17.99, to the price of the meal, 89.95.

17.99+89.95=107.94

PLEASE HELP THIS IS DUE IN AN HOUR Austria-Hungary was ruled by which emperor during the late 1800's? Question 10 options: a) Archduke Ferdinand b) Napoleon c) Mohandos Ghandi d) Franz Josef e) Sun Yat-sen

Answers

Answer:

Franz Joseph

Step-by-step explanation:

Franz Joseph the first

Two square-shaped fields are next to each other. The perimeter of each field is 28 feet. The two fields are joined together to form a single rectangular field. What is the perimeter of the rectangular field?
A. 42 feet
B. 49 feet
C. 56 feet
D. 63 feet

Answers

Abecause one length is 7feet.The middle is gone so eight lengths of 7 into 6 lengths

Answer: A. 42 feet

Step-by-step explanation:

If a square has a perimeter of 28 feet, then each side would be 7 feet long because a square has 4 equal sides.

So if they are joined together to make a rectangle, the short side would be 7 feet long and the longer side would be 14 feet long.

You then add all the sides together so:

7 + 7 + 14 + 14 = 42 feet

Add 2 1/2+(−1/3) . Write your answer as a mixed number in simplest form.

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

2.16

Step-by-step explanation:

can someone show me hwo to do this so that i know how to do this please

Answers

Answer:

y = -2x - 2

Step-by-step explanation:

y=y coordinate (2in this case)
x=x coordinate (-2 in this case)
m=slope (-2 in this case)
b= y int. (we dont know the number because it doesn’t label it so we just put the letter and you can solve for b if the question tells you so)

so the answer is
y=mx+b (slope int. form)
2=-2(-2)+b

Can someone help, please

Answers

Answer:

3/-2

Step-by-step explanation:

change in y over change in x take 4 as x and minus it with 6take 8 as x minus 5divide the answers u get

im so confused on this...

Answers

The answer is 2 !!!!!!

Lmk if you need an explanation !
I think it is because hope this helps

Blanca is going to use a box that is a rectangular prism for a card box at her son’s birthday party. She will wrap and decorate the box. The dimensions of the box are shown in the diagram.
What is the total surface area of the box in square inches?

Answers

Answer:24 m/s

Step-by-step explanation:

I believe the answer to the question is 24 m/s

Which situation is represented by the inequality?
7x + 50 > 4x + 100

Answers

the correct answer is c
The answer to that question is c

(-1/2)³(-1/2)²

Please help me

Answers

Answer:

(-1/2)^5 or approx. -0.03125

Step-by-step explanation:

3 + 2 = 5

(-1/2)^5 = -0.03125

answer:
-1/32

explanation:
(-1/2)^3 = -1/2*-1/2*-1/2 = -1/8 , or -0.125

(-1/2)^2= -1/2*-1/2= 1/4 , or 0.25

Multiply your two answers.
-1/8 * 1/4 = -1/32 , or -0.03125

Compare each investment to an investment of the same principal at the same rate compounded annually.
17. Principal: $8,000
Annual interest: 6%
Interest periods: 4
Number of years: 20

Answers

Step-by-step explanation:

income is based on a formula (rt)

r is a % of p (% being Annual Interest)

t is time (number of years)

p is principal.

17. 9,600$ in interest (lost or gained, gained is added from p, lost is subtracted from p)

18. is 1,750$

I am not entirely sure what interest periods are but I assume you can use this formula to find it. good luck man.

Write an exponential function to model the data in each table. Identify the growth or decay factor. (23) Picture

Answers

The model of the exponential functions show that

23: table 1 is a decay with a rate of 50%24. tables 2 is a growth with a rate of 10%

How to write exponential function to model the data in each table

Considering the given problem,  f(x) = a(b)^x

the starting = a

the base = b

the exponents = x

23. Table 1

At x = 0

f(x) = a(b)^x

(b)^0 = 1

solving for a

4 = a * (b)^0

4 = a

At x = 1

f(x) = a(b)^x

(b)^1 = b

substituting known variables

2 = 4(b)^1

b = 2/4

b = 0.5

for decreasing rate, b = 1 - 0.5 = 0.5

rate, r = 50%

24. Table 2

At x = 0

f(x) = a(b)^x

(b)^0 = 1

solving for a

100 = a * (b)^0

100 = a

At x = 1

f(x) = a(b)^x

(b)^1 = b

substituting known variables

110 = 100(b)^1

b = 110/100

b = 1.10

for increasing rate, b = 1 + r = 1.10, r = 0.10

rate, r = 10%

The base is what determines exponential growth or decay

Learn more about exponential function here:

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1. Dele invests $6000 for 4 years at 3% per annum compound interest. Calculate the value of his investment at the end of 4 years.

2. The value of a car depreciates by 14% per annum. At the end of 2017 the car is worth $17500. How much is it worth at the end of 2020?

Answers

1 - Every year the amount will increase with 3% and considering it will be compounded the final answer after 4 year would be 6753
2 - 9573
every year the amount will increase by three percent %

How do you turn 0.302 into a fraction

Answers

0.302 as a fraction is 151/500

Answer: 151/500

Step-by-step explanation:

The slope of the line that passes through the point \left( 2 , 4 \right)(2,4) and \left( 3 , 8 \right)(3,8) is

Answers

Answer:

Step-by-step explanation:

tbh im confused

A runner completed a 26.2-mile marathon in 210 minutes.
- Estimate the unit rate, in miles per minute. Round your answer to the nearest hundredth.
- Estimate the unit rate, in minutes per mile. Round your answer to the nearest tenth.
- Another runner says, "I averaged 10-minute miles in the marathon." Is this runner talking about the unit rate described in part (a) or in part (b)?
- Explain your reasoning.

Answers

Answer:

0.123 miles per min

8 mins per mile

The runner is talking about part (b)

Part a) is miles per minute and the runner said they did 10 minutes every mile same thing as minutes per mile or part b

Step-by-step explanation:

Since your doing per minute you do you do the amount of miles over the amount of minutes so you can see how many miles the runner went in each minute

And when doing per mile its the same idea you just minutes over miles now so you get for every mile the number of minutes.

A store is instructed by corporate headquarters to put a markup of 11% on all items. An item costing $18 is displayed by the store manager at a selling price of $2. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?

(Round to the nearest dollar as needed.)

Answers

Answer: The amount off is 1.98 which means the the correct price is $16.02

Step-by-step explanation: 18 x 11 = 198 divided by 100 = 1.98 subtract 1.98 from 18 and boom you have the correct discounted price

The discount is 1.98 and the correct selling price is 16.02

(-10) to the 6th power

Answers

Answer:1000000

Step-by-step explanation:

Raise -10 to the power of  6

(-10)(-10)(-10)(-10)(-10)(-10)

1000000

since there is a parentheses around -10 and the power is a even number, the answer is positive.

10^6 = 100000 (A negative number that is taken to an even power will give you a positive)

What is the solution to the equation 46=56−5
46
=
56

5
m
?

Answers

46 = 56-5m
-56 -56
-10= 5m
-10/5 5/5
-2=m
M=2 you subtract and divide by the numbers.

on Monday, Gina ran 1 mile in 9.3 minutes. her times for running 1 mile on each of the next four days, relative to her time on Monday, were -1 2/3 minutes, -1.45, -1.8 minutes and - 1 3/8 minutes. list these relative times in order from least to greatest?
PLEASE HELP THIS WAS DUE FRIDAY BUT I DIDNT HAVE TIME
THANK YOU FOR YOUR HELP

Answers

Answer:

-1.8 < 1 2/3 < 1.45 < 1- 3/8 < 9.3

Step-by-step explanation:

-1 2/3= -1.67 min

-1 3/8 = -1.375 min

so 7he least to greatest is

-1.8 < 1 2/3 < 1.45 < 1- 3/8 < 9.3

The ordered list from least to greatest is -1.8 < -1 2/3 < -1.45 < -1 3/8

What is a mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder.

So, a mixed fraction is a combination of a whole number and a proper fraction.

According to the given question:

Gina's relative time list is [tex]-1\frac{2}{3}[/tex] , -1.45, -1.8, [tex]-1\frac{3}{8}[/tex]

Converting mixed fractions to decimal forms to make comparison easy.

-1 2/3 = -1 + 2/3 = - 1.6 min

-1 3/8 = -1 + 3/8 = -1.375 min

Hence the new list is - 1.6, - 1.45, - 1.8, - 1.375

Arranging from least to greatest as follows

-1.8 < - 1.6 < - 1.45 < - 1.375

- 1.8 < -1 2/3 < -1.45 < -1 3/8

To know more about mixed fraction visit

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ABC is a right triangle with vertices B (9, 4) and C (3, 9).

What are the coordinates of vertex A?

Enter your answers in the boxes.

Answers

Answer:

A (3, 4)

Step-by-step explanation:

A has to be positioned horizontally along B. This means its x coordinate is the same as x-coordinate of B which is 4

A also has to be positioned vertically below C. This means its y coordinate is the same as the y-coordinate of C. So y-coordinate of A is 3

So coordinates of A are (3, 4)

(3,4) is the answer

Select each situation that can represent a proportional relationship.


The price of buying x gallons of gas at $3 a gallon.


The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.


The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.


The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.

Answers

Answer: The kitten will cost more than the kids pay and the scooter will cost 0.75 dollars per mile

Step-by-step explanation:

this is overdue work help

Answers

Answer: y= - 1/4x + 1/4

Step-by-step explanation:

Equation for those points

Y=-1/4x+1/9 is the answer

can someone help?///???

Answers

Answer: 52.5

Thats the Answerr
Answer: 52.5


Thats the answer hopes this helps <3

Solve the following word problem by creating an algebraic equation and solving for the unknown value.

Madison and Mackenzie made $87 selling girl scout cookies. Madison made $15 more than 2 times as much as Mackenzie made. How much money did Mackenzie make?

Answers

Answer:

2 equations were used : x + y = 87 and x = 2y + 15

Step-by-step explanation:

Defining variables:

Madison = x

Mackenzie = y

-----------------------------------

Here's what we know:

Madison and Mackenzie made $87 selling girl scout cookies (TOGETHER). Therefore: x + y = 87

We also know that Madison made $15 more than 2 times as much as Mackenzie made.
Therefore: x = 2y + 15

Now we can substitute the 2nd equation (x = 2y + 15).

This gives us (2y + 15) + y = 87

After solving (2y + 15) + y = 87, we get y = 24

Okay, so now we know Mackenzie sold $24 worth of girlscout cookies...

this is also known as y = 24

---------------------------------------------------------------------------------------------------------

If we were to find out how much madison made aswell, here's what we would do.

We will put y = 24 back into the original equation  (x + y = 87).

x + 24 = 87

x = 63

Madison sold $63 worth of girlscout cookies.

the two equations used are x+y=87 along with x=2y+15

Which of the following tables represents a linear relationship that is also proportional?


x −1 2 5
y −1 0 1

x −2 −1 0
y −1 0 1

x −2 −1 0
y −4 −2 0

x −4 −2 1
y −2 0 3

Answers

First one

————————————————
I believe the answer to that quickly is x- 1 2 5 !! Good luck

Find the percent equivalent 6 over 15.

Answers

Answer:

40%

Step-by-step explanation:

Because 15 is the denominator in 6/15, we might change the fraction to make 100 the denominator. In order to do it, 100 is divided by the numerator:

=40/100

Now that we know our fraction is 40/100, we can see that 40% of 6/15 is represented as a percentage.

therefore youre answer would be 40%

Answer:

40%

Step-by-step explanation:

6/15 = 40/100

HELP PLEASE!!

(you get +20 points for answering correctly)

This table represents the number of ounces, u, a kitten grows after w, weeks.


When graphed, all of the points in the table lie on the same line.




What is the slope and y-intercept of the line?



slope=2/3, y-intercept=−0.2


slope=−3/2, y-intercept = 3


slope= 3/2, y-intercept = 3


slope= −2/3, y-intercept=−0.2

Answers

Answer:

dang I frfr don't know this I want some points

1. y=2/3x-0.2
2. y=3/2x+3
3. y=3/2x+3
4. y=-2/3x-0.2
hope this helped
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