Answers
The center of dilation of the triangle is (7, 5)
How to determine the center of dilation.From the question, we have the following parameters that can be used in our computation:
Two triangles
The center of dilation of the triangles is the center of both triangles
From the figure, we can see that the center is located at (7, 5)
Hence, the center is (7, 5)
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Related Questions
A group of people was asked which color of car they prefer. The results are shown in the table below. Which statement is true? Responses About 49% of people prefer a blue car. About 49 percent of people prefer a blue car. Over 12 of people prefer either a silver or red car. Over 1 half of people prefer either a silver or red car. About 14 of people prefer a silver car. About 1 fourth of people prefer a silver car. Less than 50% of people prefer a black or white car.
Answers
The results of the survey show that the majority of people prefer a blue car.
Which statement is true?About 49% of respondents said that blue was their preferred color, making it the most popular choice overall. Silver and red were the second and third most popular choices, with over 1 half of respondents selecting either one of these two colors. Silver was the more popular choice of the two, with 14% of people preferring it. Black and white were the least popular choices, with less than 50% of people selecting either one of these colors. In conclusion, blue cars are the most popular choice among the people surveyed, followed by silver and red cars. Black and white cars are the least popular choices.This statement is true: Over 1 half of people prefer either a silver or red car. This statement accurately describes the data given in the table. In the table, a total of 50 people were asked which color of car they prefer. Out of the 50 people, 28 people prefer a silver car, and 24 people prefer a red car. When added together, this is a total of 52 people, or over 1 half of the people surveyed.This type of statement is known as a descriptive statistic. Descriptive statistics are used to summarize data in order to gain insight into the data set as a whole. They provide information about the frequency, range, shape, and other aspects of the data. Descriptive statistics are used to help people better understand the data and draw meaningful conclusions, as seen in the statement in this example.To learn more about descriptive statistic refer to:
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On a certain hot summer's day,718 people used the public swimming pool. The daily prices are 1.25 for children and 2.00 for adults. The receipts for admission totaled 1151.75 How many children and how many adults swam at the public pool that day?
Answers
The number of children is 379 and the number of the adults is 339.
What is system of equations?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A collection of equations fulfilled by the same set of variables is called a system of linear equations."
Let us suppose the number of children = C, and the number of adults = A.
Given that, 718 people used the public swimming pool:
C + A = 718 people
The cost for one child is 1.25 for children, then the cost for C child is: 1.25C
The cost for one adult is 2.00 for adults, then the cost for A adults is: 2A
The receipts for admission totaled 1151.75:
1.25C + 2A = 1151.75
The two equations are:
C + A = 718
1.25C + 2A = 1151.75
For the first equation we can write:
C + A = 718
C = 718 - A
Substitute the value of C in second equation:
1.25(718 - A) + 2A = 1151.75
897.5 - 1.25A + 2A = 1151.75
0.75A = 254.25
A = 339
Substituting the value of A in the first equation we have:
C + A = 718
C + 339 = 718
C = 379
Hence, the number of children is 379 and the number of the adults is 339.
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Which measure is equivalent to 3 mi?
1 ft = 12 in.
1 mi = 5,280 ft
Answers
Answer: See below
Step-by-step explanation:
First, we will use the conversions that you provided to find how many feet are in 3 miles. Since we know that one mile = 5,280 feet, all we have to do is multiply that number by 3 to find the conversion.
5,280 * 3 = 15,840 feet
Now, we can use the value found above to find how many inches are in 3 miles. We know that 12 inches are in one foot, so we have to multiply 12 by 15,840. This equals 190,080 inches.
I hope this helps, and if you need me to show you the step-by-step work for multiplication, let me know!
your bank statement shows a balance of -R500 what does it mean
Answers
A bank statement balance of -R500 means that the account holder has an overdraft of R500. This means that the account holder has spent more money than they have in their account and now owe the bank R500. It is a negative balance, which indicates that the account holder needs to deposit funds into their account to bring the balance to zero or above.
at the beginning of the week my investment account's balance was 1,459 dollars. if it grows at a constant rate of 4.73/day, what is my account's balance at every point in time during the week? use n to represent the number of days since the week began.
Answers
The balance of your investment account at any given point in time during the week can be calculated using the exponential growth formula:
N(t) = N0 * (1 + r)^t, where N0 is the initial balance (1,459 dollars), r is the growth rate per day (4.73/day), and t is the number of days since the week began (n).
For example, if it is the fourth day of the week (n = 4), then the balance of your investment account would be N(4) = 1,459 * (1 + 4.73/day)^4 = 2,719.37 dollars.
The exponential growth formula is a mathematical equation used to calculate the growth of a population over time. It is expressed as N(t) = N0 * (1 + r)^t, where N0 is the initial population size, r is the growth rate, and t is the time in days.
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consider a group of 20 people. if everyone shakes hands with everyone else, how many handshakes take place?
Answers
If everyone shakes hands with everyone else in a group of 20, the number of handshakes take place is 210.
In a group of 20 people, if everyone shakes hands with everyone else, the number of handshakes that take place is equal to the sum of the first 20 positive integers, which can be found using the formula for the sum of an arithmetic series:
= n (n + 1)/ 2
= (20 * 21) / 2 = 210
To understand why this is the case, consider that each person shakes hands with 19 other people, so there are a total of 20 * 19 = 380 handshakes. However, each handshake is counted twice (once for each person involved), so we need to divide the total number of handshakes by 2 to get the actual number of unique handshakes. Hence, the answer is 380 / 2 = 210.
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evaluate the iterated integral. 1 0 s7 cos(s8) dt ds
Answers
The value of the evaluated iterated integral is = 0.002
As per the given data the iterated integral is, = integral. 1 0 s7 cos(s8) dt ds
Here we have to evaluate the given iterated integral.
The definite integral of a real-valued function f(x) with respect to a real variable x on an interval [a, b] is expressed as,
= f(b) - f(a)
Where,
a = Lower limit
b = Upper limit
f(x) = Integrand
dx = Integrating agent
Thus, ab f(x) dx is read as the definite integral of f(x) with respect to d x from a to b.
Indefinite integrals are implemented when the boundaries of the integrand are not specified.
= integral. 1 0 s7 cos(s8) dt ds
Integrate the given iterated integral.
We get:
= integral. 1 0 s7 cos(s8) dt ds
= t when s = 0
= 6 t = 0
= ds when s = 1..... t = 1
Replace the assumed terms.
Then we get:
= cos(t)
= cos(t) dt
= [sin(t)]
= [ sin(1) - sin(0) ]
= 0.002
Therefore,
The value of the evaluated iterated integral is = 0.002
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Ethan buys a video game on sale. If the video game usually costs 39.99 and it was on sale for 20% off how much did Ethan pay
Answers
The amount ethan payed is $31.992.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given;
The video game usually costs 39.99
Sale off= 20%
Now,
Let the 20% be x
x*100/39.99=20
x=20*39.99/100
x=799.8/100
x=7.998
After off;
=39.99-7.998
=31.992
Therefore, the value after 20 percent off will be $31.992
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i12 + 1 = 1 - i 1 + i 0 2
Answers
i^12 + 1 = 1 - i / (1 + i^2)
Expanding the denominator on the right side:
i^12 + 1 = 1 - i / (1 - (-1))
i^12 + 1 = 1 - i / 2
Rearranging the equation:
i^12 = -1/2 + i/2
So, the equation i^12 + 1 = 1 - i / (1 + i^2) can be simplified to i^12 = -1/2 + i/2
Solving systems by elimination -4x-5y=8,7x+5y=16
Answers
Answer:
(8, -8)
x = 8
y = -8
Step-by-step explanation:
-4x - 5y = 8
7x + 5y = 16
-----------------------
3x = 24
÷3 ÷3
----------------
x = 8
7x + 5y = 16
7(8) + 5y = 16
56 + 5y = 16
-56 -56
----------------------
5y = -40
÷5 ÷5
------------------
y = -8
(8, -8)
I hope this helps!
the variables r and s are inversely proportional, and r=7 when s=6. determine s when r=10.
Answers
If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .
When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :
⇒ r × s = k, where k is a constant ;
the value of variable "r" = 7 when s = 6,
First , we have to find the value of k:
⇒ k = r × s = 7 × 6 = 42 ;
So, for any value of r and s, the product "rs" will always be equal to 42.
When r = 10, we can use the equation to find s:
⇒ s = k/r = 42/10 = 4.2
Therefore , when r = 10 , the variable "s" is 4.2.
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Frank had 4/7 of a spool of yarn. He used 4/5 of his yarn for a project. What fraction of the spool was used for the project?
Write your answer in the simplest form.
Answers
Answer:
f = 4/7 * 4/5 = 16 / 35 Fraction of spool used
4/7 of spool was originally present and Frank used 4/5 of the yarn left on the spool
what is the probability that the sample has one democrat, one republican and one independent? express your final answer as a decimal and round to four decimal places.
Answers
The probability that the sample has one democrat, one republican and one independent is 0.1518.
Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 indicates that an event is impossible, 1 indicates that an event is certain, and values between 0 and 1 indicate the degree of uncertainty or likelihood of an event occurring.
The total number of ways to select 3 voters out of 40 can be determined using the combination formula:
C(n, k) = n! / [k!(n - k)!]
where n is the total number of elements in the set and k is the number of elements to be selected.
C(40,3) = 40! / [3!(40 - 3)!] = 9880
The number of ways to select 1 Democrat, 1 Republican and 1 Independent is as follows:
C(20, 1) x C(15, 1) x C(5, 1) = 20 x 15 x 5 = 1500
So, the probability of selecting 1 Democrat, 1 Republican and 1 Independent in a sample of 3 voters is 1500 / 9880 = 0.151821, which rounded to four decimal places is 0.1518.
The problem seems incomplete, it must have been...
"A small town has 40 registered voters out of which 20 are Democrats, 15 Republicans and 5 Independents. A sample of 3 voters without replacement is to be selected. What is the probability that the sample has one Democrat, one Republican and one Independent? Express your final answer as a decimal and round to four decimal places. "
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What is the coefficient of q in the sum of these two expressions?(2/3q−3/4)and(−1/6q−2)
Answers
Answer:
the two coefficients are 2/3 and -1/6
the sum of the expressions are = 1 /2 q−r+ −3 /4
hope this helps :)
when the bread doubles its size, how much does the distance between any two raisins will change?
Answers
The distance between two raisins will increase by a factor of the square root of 2.
As the bread dough rises and doubles in size, each linear dimension of the dough, including the distance between the raisins, will also double. This means that the distance between two raisins will increase by a factor of 2.
However, since the change in distance is related to a change in the linear dimension, and not the area, the increase in distance is proportional to the square root of 2, not 2. This means that the distance between the two raisins will increase by a factor of the square root of 2, or approximately 1.41.
This increase in distance between the raisins is a result of the increase in the volume of the dough, as the yeast ferments the sugars in the dough, producing carbon dioxide and causing the dough to rise. The increase in volume causes the dough to stretch, resulting in the increased distance between the raisins.
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let :ℝ2→ℝf:r2→r and suppose that lim(,)→(−1,7) (,)=4.lim(x,y)→(−1,7)f (x,y)=4. what can you say about the value (−1,7)?f (−1,7)?
Answers
The value (−1,7) is equal to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.
Since the limit of f(x,y) as (x,y) approaches (−1,7) is 4, that means that as (x,y) gets closer and closer to (−1,7) the value of f(x,y) gets closer and closer to 4. Therefore, when (x,y) is equal to (−1,7), the value of f(x,y) is 4.
The limit of the function f(x,y) as (x,y) approaches (−1,7) is 4, which means that as (x,y) gets closer and closer to (−1,7), the value of f(x,y) gets closer and closer to 4. In the limit, when (x,y) is equal to (−1,7), the value of f(x,y) is the same as the limit, which is 4. Therefore, the value of f(−1,7) is 4.
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Which 3-dimensional figure is associated with the volume formula?
Answers
Answer:
Prisms
Step-by-step explanation:
The only two associated are rectangles and prisms
The distance from Mexico City, Mexico to Monterrey, Mexico is 931 kilometers. How far is this in miles? Round your answer to the nearest whole number. (1 mile = 1.6 kilometers)
Answers
Answer:
578
Step-by-step explanation:
divide the length value by 1.609
Y=1/2x-1 and it passes through (6, 2) what is the slope and y intercept
Answers
Answer:
slope = 1/2
y-intercept = -1
Step-by-step explanation:
Y=1/2x-1 and it passes through (6, 2) what is the slope and y intercept?
The equation given is: y= 1/2x - 1
y = mx + b
where m = slope and b = y-intercept, so:
slope = 1/2
y-intercept = -1
The formula v=u+at is used in physics
Find the value of u when u=1/2, a=3/4 and t =1 1/2
Answers
u = v - at
Given v = 1/2, a = 3/4, and t = 1 1/2, we can substitute into the equation:
u = 1/2 - (3/4)(1 1/2)
To simplify the expression in parentheses, we can convert 1 1/2 to a decimal:
u = 1/2 - (3/4)(1.5)
We can then perform the calculation:
u = 1/2 - (3/4)(1.5) = 1/2 - (3/4)*(1.5) = 1/2 - 1.125
u = -0.625
So the value of u is -0.625
Find the Volume.
Pls i need this answer its for a grade
Answers
Answer:
12 cubic units
Step-by-step explanation:
Since 1 cube is equal to 1 cubic unit and there are 12 cubes in total, this means the volume is 12 cubic units.
In rectangle QRST QS= 4x 2 and RT = 5x - 1 find the length of the diagonal of QRST
Answers
The lengths of the diagonals of QRST is 14units.
In a rectangle, the diagonals are equal in length and bisect each other at 90 degrees. This means that the diagonals divide the rectangle into four congruent right triangles.
Since the diagonals of a rectangle are of equal length. then
QS = RT
4x + 2 = 5x - 1
Simplify and solve for the value of x.
4x + 2 = 5x - 1
x = 3
Substitute the value of x in any of the expression for the length of the diagonal.
QS = 4x + 2
length of diagonal = 4(3) + 2 = 14
Hence, the length of the diagonals QS and RT is 14 units.
The problem seems unreadable, it must have been...
"In rectangle QRST, QS = 4x + 2 and RT = 5x - 1. Find the lengths of the diagonals of QRST."
Attached is the full question together with the diagram that shows the rectangle.
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9) Which inequality represents the solution to the given inequality? State the letter of the correct answer.
-13t≤78
A. t<-6
B. t≤6
C. t>6
D. t>-6
10) For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make
the inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
(-10,-9,-8,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
Answers
Answer:
see explanation
Step-by-step explanation:
solving the inequality
- 13t ≤ 78
divide both sides by - 13, reversing the symbol as a result of dividing by a negative quantity.
t ≥ - 6
this means that any value of t greater than 6, including 6, is a solution.
listing the solutions from - 10 through to 10 that are solutions when substituted for t
- 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6
Charlotte is going to drive from her house to City A without stopping. An equation that determines Charlotte's distance from City At hours after leaving her house is D = -30t +300. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Answers
The y-intercept of the equation D = -30t + 300 is 300.
What is the y-intercept of the equation?
The constant variable b represents the y-intercept in a linear equation written in slope-intercept form (y=mx+b).
The given equation is D = -30t +300.
The y-intercept represents the distance from City A (in miles) when Charlotte has just left her house (i.e. when t = 0). So in this context, the y-intercept of 300 means that Charlotte is 300 miles from City A when she just leaves her house.
Hence, The y-intercept of the equation D = -30t + 300 is 300.
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Twice the difference of a number and 3 is equal to 2. Translate the sentence into an equation
Answers
Answer:
equation:
2( x - 3 ) = 2
Step-by-step explanation:
you can also solve for x:
2(x-3) = 2
2x - 6 = 2
2x = 2 + 6
2x = 8
x = 8/2
x= 4
how many solutions does x^2=7 have in each of the following rings?You need not find the solutions(a) Z/19 (b) Z/21 (c) Z/57
Answers
The solution of the expression is Z/57
A ring is a mathematical structure that combines the properties of an additive group with the properties of a multiplicative group.
When we look at solutions to the equation x² = 7 in different rings, we are asking "In what mathematical structures can we find numbers which, when squared, equal 7?"
(a) In the ring Z/19, the solutions are the residue classes modulo 19 that satisfy x² = 7. This means that we only consider the integers 0, 1, 2, ..., 18, and we take their remainders after dividing by 19. In this ring, we use the operations of addition and multiplication modulo 19.
(b) In Z/21, the equation x² = 7 has no solutions. This is because none of the remainders 0, 1, 2, ..., 20 after dividing by 21 can be squared to give 7.
(c) In Z/57, the equation x² = 7 has exactly 2 solutions. This is because there are exactly two residue classes modulo 57 that, when squared, give 7. To find these two solutions, we would need to perform a bit of calculation to determine which residues satisfy x² = 7.
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22. Thomas lists all of the different arrangements of the letters in the word CABOOSE. How many of Thomas's arrangements begin with a C and end with an E?
(A) 100
(B) 120
(C) 80
(D) 90
(E)Other
If a b a♣︎b - a - b - 1, then what is the value of 284♣︎1001?
(A) 282435
(B) 283000
(C) 283283
(D) 282000
(E)Other
What is the product of 4% of 112 and 61% of 375?
(A) 144
(B) 90
(C) 120
(D) 105
(E)Other
. Josh rolls two standard six-sided dice. What is the probability that the product of the numbers shown on the dice is a multiple of six?
(A) 4/9
B) 1/3
(C) 5/12
D) 1/2
(E)Other
What is the remainder when the sum of the terms of the arithmetic series 101 108 + 115 + 290 is divided by 28?
(A) 7
(B) 0
(C) 14
(D) 21
(E)Other
Two right triangles have the same perimeter, and each triangle's side lengths are all whole numbers. One right triangle has legs of length 10 and 24. The other right triangle has a hypotenuse of length 25. What is the area of the second triangle?
A) 150
(B) 112
(C) 120
(D) 144
(E)Other .
A function f is defined for positive integers x as f(x) = 0 if x ≤ 2. Otherwise, f(x) = f(x - 1) if x is not divisible by 3, and f(x) = 2 + f (3) if x is divisible by 3. What is the value of f(2020)?
A) 16
B) 14
C) 12
D) 8
E)Other
Answers
Thomas lists all of the different arrangements of the letters in the word CABOOSE. How many of Thomas's arrangements begin with a C and end with an E?
(B) 120
If a b a♣︎b - a - b - 1, then what is the value of 284♣︎1001?
(A) 282435
What is the product of 4% of 112 and 61% of 375?
(D) 105
Josh rolls two standard six-sided dice. What is the probability that the product of the numbers shown on the dice is a multiple of six?
(C) 5/12
What is the remainder when the sum of the terms of the arithmetic series 101 108 + 115 + 290 is divided by 28?
(A) 7
Two right triangles have the same perimeter, and each triangle's side lengths are all whole numbers. One right triangle has legs of length 10 and 24. The other right triangle has a hypotenuse of length 25. What is the area of the second triangle?
(D) 144
A function f is defined for positive integers x as f(x) = 0 if x ≤ 2. Otherwise, f(x) = f(x - 1) if x is not divisible by 3, and f(x) = 2 + f (3) if x is divisible by 3. What is the value of f(2020)?
(B) 14
find the general solution of the given differential equation. (x 1) dy dx (x 2)y = 6xe−x
Answers
The general solution of the differential equation is [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex], where C is an arbitrary constant.
To find the general solution, we can first try separating the variables by dividing both sides of the equation by x²:
The given differential equation is (x²)dy/dx + (x²)y = [tex]6xe^{-x[/tex]
[tex]\frac{dy}{y} = 6e^{-x} \frac{dx}{x^2}[/tex]
Integrating both sides with respect to their respective variables:
[tex]\int (dy/y) = \int 6e^{-x} \frac {dx}{x^2} + C[/tex]
ln [tex]|y| = \frac{-3e^{-x} - 1}{x} + C[/tex]
Exponentiating both sides:
[tex]|y| = \frac{Ce^{3e^{-x}} - 1}{x}[/tex]
where C is an arbitrary constant.
Since the solution for y is not unique, we need to determine the sign of y. To do this, we can analyze the initial conditions or the nature of the problem. If the initial conditions indicate that y is positive, then [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex]. If the initial conditions indicate that y is negative, then [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex].
Therefore, the general solution of the differential equation is [tex]y = \frac{\pm Ce^{3e^{-x}} + 1}{x}[/tex], where C is an arbitrary constant.
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name and briefly explain at least one alternative method for correcting the external effect that exists between the players. explain how the method would work to achieve a pareto efficient outcome and what effect it would have on the distribution of fish. do not get into the mathematics of the way to correct for the external effect, simply explain it intuitively in no more than 30 words for each alternative method.
Answers
One alternative method for correcting the external effect between players is the Coasian bargaining solution. This method allows players to bargain with each other to reach a mutually beneficial outcome that is Pareto efficient.
Another alternative method is a Pigouvian tax. Under this approach, the government taxes each player based on their fishing effort, thus reducing the external effect between them. The revenue generated from the tax is then used to subsidize fishing activities and to finance conservation efforts. This results in a more efficient distribution of fish among the players, as the external effect is reduced.
Finally, another alternative method is the use of tradable fishing permits. Under this approach, a certain number of permits are allocated to each player, and they can trade them with each other in order to achieve a Pareto-efficient outcome. This allows players to internalize the external effect of their decision, as they have to pay for the fishing permits. This results in a more equitable distribution of fish among the players.
Overall, the use of Coasian bargaining, Pigouvian taxes, and tradable fishing permits are all alternative methods for correcting the external effect between players in order to achieve a Pareto-efficient outcome. These methods allow players to adjust their strategies in order to reduce the external effect and to ensure a more equitable distribution of fish among them.
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Maya has 7 yards of ribbon. She uses 4 yards to make bows and 1 yard 2 feet for
a wreath. How many feet of ribbon does Maya have left?
Answers
Answer:
1 yard and 1 foot
Step-by-step explanation:
7-4=3
3-1 yd and 2 feet
there are three feet in a yard. you can subtract the yard first, leaving you with two yards, then subtract two feet. you will be left with 1 yard and 1 foot.
Explanation is edge2023
