Final answer:
To find out how many 3/7 foot pieces can be made from 7/2 feet of rope, divide the total rope length by the length of one piece, resulting in 8 whole pieces with a small amount left over.
Explanation:
The question asks how many pieces of rope, each measuring 3/7 of a foot, can be made from a total length of 7/2 feet. To find the answer, you need to divide the total length of the rope (7/2 feet) by the length of each piece (3/7 foot), which is a division problem involving fractions:
(7/2) ÷ (3/7) = (7/2) × (7/3) = 49/6.
This means you can cut the rope into 49/6 pieces. Since you can't have a fraction of a physical piece of rope, the practical answer is that you can make 8 whole pieces of rope, each 3/7 of a foot long, with a little bit of rope left over.
You can make 8 full pieces of rope that are each 3/7 of a foot long from 7/2 feet of rope, with a small leftover piece.
Explanation:The question asks how many pieces of rope measuring 3/7 of a foot each can be made from 7/2 feet of rope. To find this, we divide the total length of rope by the length of one piece:
Total length of rope: 7/2 feet
Piece length: 3/7 foot
We divide 7/2 by 3/7, which is the same as multiplying 7/2 by the reciprocal
of 3/7 (which is 7/3):
(7/2) * (7/3) = 49/6
This simplifies to 8 1/6, which means you can make 8 full pieces of rope that are each 3/7 of a foot long, with a small piece leftover.
Estimate how many 12 inch rulers will be about the same length as a sheet of paper
is a simplified version of 5(x+8)-10x =60
find the surface of the area of the rectangular prism 16m 5m 14m
How do you get the value of x
? - 12 = -6
What is the missing number?
Radius is 8 what is the area of the circle then ?
In a survey of 398 students, 52% said they loved music. Use estimation to explain how many students loved music. PLZ HELP I HAVE THIS FOR HOMEWORK RIGHT NOW AND I NEED TO FINISH IT!!!!!
Please help asap
The table below shows which sports events have sold out and which have not.
What do you draw to show that 50,000 pennies is equivalent to 100 five dollar bills?
the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth
In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :
Ratio of area =[tex] a^{2} :b^{2} [/tex]
Given ratio of area =81:64
Or 81:64=[tex] a^{2} :b^{2} [/tex]
Taking root of both sides
9:8=a:b
The ratio of perimeter of any two similar polygon is equal to the ratio of sides.
Ratio of perimeter = a:b
Perimeter of first polygon is 32 cm.
Let the perimeter of second polygon be x.
32:x=a:b
Or, 32:x=9:8
[tex] \frac{32}{x} =\frac{9}{8}
[/tex]
Cross multiplying
9x= (32)(8)
9x=256
Dividing both sides by 9
x=28.4.
The perimeter of second polygon is 28.4cm.
Given the function f(x) = 2x-5/3, which of the below expression is correct?
F^-1(x) = 5-2x/3
F^-1(x) = 3x-5/2
F^-1(x) = 3x+5/2
F^-1(x) = -2x - 5/3
I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.
what is the slope of the line (2,-2) and (9,3)
HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!
if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?
3×1 1/2=3×6/3=18/3=6
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.
Answer:
128
Step-by-step explanation:
Just did the test ;)
Can anyone solve this?
NEED HELP ASAPPP
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units
Step-by-step explanation:
What is the volume of the composite figure ?
The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?
Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?
The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.
32 minutes – 28 minutes = 4 minutes faster than last week
To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:
4 minutes / 32 minutes = 0.125 or 12.5% faster than last week
What is the value of x?
Enter your answer in the box.
Last summer, Mike received a tip from 35% of his babysitting customers. If he had 20 customers, how many customers gave Mike a tip?
PLEASE HELP
If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.
The probability that a randomly selected senior student is male is 40%.
Given Data:
We have a two-way table representing the number of students by gender and grade level.
The relevant information is that there are 2 male seniors.
Event Definitions:
Let’s define the following events:
A: Student is male.
B: Student is a senior.
Conditional Probability:
We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).
We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]
Calculations:
From the table, we know:
Number of male seniors (A and B): 2
Total number of seniors (B): 5
Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]
Rounded Answer:
Rounding to the nearest whole percent:
([tex]0.4 \times[/tex]100% = 40%)
Summary: The probability that a randomly selected senior student is male is 40%.
A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?
Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Pedro need to paint?
For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?
Let us suppose the number of balloons purchased is x in number.
It is given balloons are purchased for $.79 each
Cost of x balloons = .79x.
Total amount spent on purchasing balloons = $11.85
Cost of x balloons = Total cost of balloons.
.79x=11.85
With x .79 is multiplied .Opposite of multiplication is division.
We perform the opposite operation both sides
Dividing both sides by .79
x=11.85÷.79
x=15
Total number of balloons purchased is 15.
The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation
Let "m" represent the money required.
Let "n" represent the number of gallons filled.
Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:
[tex] m\propto n [/tex]
We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".
Therefore the above expression will become:
[tex] m=k\times n [/tex]
Now, it is given that m=$16.56 and n=6 gallons
Therefore, [tex] 16.56=k\times 6 [/tex]
Dividing both sides by 16.56 we get:
[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]
Thus, k=2.76 $/gallon is the value of the constant of variation.
Write 6 percent as a decimal