For his craft project, James bought 10 pieces of ribbon that were each 2.1 feet long. How many total yards of ribbon did James buy?
James buy 7 yard of ribbon
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
James= 10 pieces of ribbon
Each of length= 2.1 feet
So, length of 10 ribbons
=2.1*10
=21 feet
Now, 1 yard= 3 feet
So, 21 feet= 21/3= 7 yard
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Jared flipped a fair coin 50 times. He expected half of his tosses to land on heads, but he only got heads 15 times. If he increased the number of times he flipped the coin to 500, he should expect the number of heads to be-
what is the answer to this problem
find the solution of the system of equations 2x-4y=32 2x-8y=48
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
To solve this problem, we are given the formulas for our new x and y. To use this formula, we must first establish our points 1 and 2. Since the problem specifically directed the point E which partitions the line segment “from J to K”, therefore
point 1 = point J = (x1, y1)
point 2 = point K = (x2, y2)
The variables m and n indicates the portion of partition segment JE and EK that takes up from the original segment. Since the ratio is 1:4, then:
JE = m = 1
EK = n = 4
Therefore calculating for x and y using the given formulas:
x = [1 / (1 + 4)] (25 – (-15)) + (-15)
x = -7
y = [1 / (1 + 4)] (15 – (-5)) + (-5)
y = -1
Therefore the coordinates of point E is (-7, -1)
The x- and y- coordinates of point E (-7,-1)
Further explanationIn the coordinates of the two-dimensional plane (xy) there is a position vector.
Two dimensions because the coordinates are only x and y, three dimensions if the coordinates are x, y, and z.
If there is a point P then
You can write P as:
P = xi + yi
where i denotes the unit vector in the x and y directions
While the size of the vector:
[tex]\displaystyle P = \sqrt{x^2+y^2}[/tex]
and its direction
[tex]\displaystyle \theta=arc\:tan\:\frac{y}{x}[/tex]
If a point C divides the line segment AB by the ratio m: n, then the coordinates of point C can be formulated:
[tex]\displaystyle \vec{C}=\frac{m\vec{b}+n\vec{a}}{m+n}[/tex]
Coordinate x :
[tex]\displaystyle x=\frac{m.x_2+n.x_1}{m+n}[/tex]
Coordinate y :
[tex]\displaystyle y=\frac{m.y_2+n.y_1}{m+n}[/tex]
line segment from J to K into a ratio of 1:4, then m = 1 and n = 4
(x1,y1) from point J= (-15,-5)
(x2,y2) from point K= (25,15)
So coordinates of point E :
Coordinate x :
[tex]\displaystyle x=\frac{1.25+4.-15}{5}[/tex]
x = -7
Coordinate y :
[tex]\displaystyle y=\frac{1.15+4.-5}{5}[/tex]
y = -1
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Keywords: line segment, vector, two-dimensional coordinates , x,y, partitions
Anna paid $4 for renting a video game for 4 days. Which graph shows the relationship between the costs of renting a video game for different days? A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.A: Points are plotted on the ordered pairs 2, 1 and 3, 2, and 4, 3. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.B: Points are plotted on the ordered pairs 1, 1 and 2, 2, and 3, 3. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. C:Points are plotted on the ordered pairs 1, 2 and 2, 3, and 3, 4. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.D: Points are plotted on the ordered pairs 0, 0 and 1, 4, and 1.5, 6.
The equation x = 6 represents a vertical line. True or false
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles. x =
Answer:
Solution of the equation 4x + 5 = 3x + 4 is:
x= -1
Step-by-step explanation:
We are given a equation:
4x + 5 = 3x + 4
We have to solve the equation for x
4x+5=3x+4
subtracting both sides by 4
4x+5-4=3x+4-4
4x+1=3x
subtracting both sides by 4x
4x|+1-4x=3x-4x
1= -x
⇒ x= -1
Hence, solution of the equation 4x + 5 = 3x + 4 is:
x= -1
The sum of the interior angles of a polygon is 9900degrees how many sides does the ploygon have?
There are 57 sides does the polygon have.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The sum of the interior angles of a polygon is,
⇒ 9900 degrees
Since, We know that;
The formula is,
⇒ (n - 2) × 180
Hence, We get;
⇒ 9900 = (n - 2) × 180
⇒ n - 2 = 9900 / 180
⇒ n - 2 = 55
⇒ n = 55 + 2
⇒ n = 57
Thus, There are 57 sides does the polygon have.
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If 3a=2b, 5b=3c, and 5c=4d, what is the ratio of a to d?
To take a taxi, it costs $3 plus an additional $2.00 per mile traveled. You spent exactly $ 20 on a taxi, which includes the $1 tip you left. How many miles did you travel
What value does 4 represent in the number 487.009
Write an algebraic expression for 15 decreased by twice a number
Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true
Answer:
The answer is C in edg.
What's the area of a circle with a radius of 5?
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
Nancy rides her bicycle 10 miles at an average rate of 12 miles per hour and 12 miles at an average rate of 10 miles per hour. What is the average rate for the entire trip? Explain your answer.
A student wants to report on the number of movies her friends watch each week. The collected data are below:
2
14
1
2
0
1
0
2
Which measure of center is most appropriate for this situation and what is its value?
Median, 1.5
Median; 3
Mean, 1.5
Mean; 3
Answer:
A) Median, 1.5
Step-by-step explanation:
Since we have given that the collected data as follows:
| 2 | 14 | 1 | 2 | 0 | 1 | 0 | 2 |
As we know that there are three measures of central tendency.
1) Mean is given by
2) Media of 0, 0, 1, 1, 2, 2, 2, 14 is given by
3) Mode of 0,0,1,1,2,2,2,14 = 2as 2 is occurring most of the times, but we know that median is the best measure to find the center. Hence, Median is the best measure and its value is 1.5.
What is the equation of the line of reflection in the following coordinate plane?
x = 0
y = 2
x = 1
y = 1
Answer:
x = 1
Step-by-step explanation:
Evan bought 6 batteries that cost $10 each and 6 there is that cost $4 each. The total cost was the same as he would have spent buying 6 there is that cost $14 each. So, (6x10)+(6x4). What property does the equation illustrate.
Yasir designs bracelets. He uses between 9 and 15 red and yellow beads in a ratio of 2 red beads to 5 yellow beads. Drag the beads into the box to meet these requirements.
Answer:
You should place 4 red beads and 10 yellow beads into the container
Step-by-step explanation:
find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder with these 6ft, 18ft, 30 ft.
A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.
What is the measure of x?
Answer: Simplified version of the answer above: (x = 9) is the correct answer.
Step-by-step explanation:
A store had 235 MP3 players in the month of January. Every month ,30% of the MP3 players were sold and 50 new MP3 players were stocked in the store. Witch recursive best represents the number of MP3 players in the store f(n) after n months?
the age of two groups of yoga students are shown in the following dot plot
when multiplying two or more fractions, you should?
Write a word phrase for the algebraic expression 3x+10
Find the sum of this infinite geometric series where a1=0.3 and r=0.55
Answer:
The sum of the infinite geometric sequence is given by:
[tex]S_{\infty} = \frac{a_1}{1-r}[/tex] ....[1]
where,
[tex]a_1[/tex] is the first term
r is the common ratio.
As per the statement:
Given that [tex]a_1 = 0.3[/tex] and r = 0.55
To find the sum of this infinite geometric series.
Substitute the given values in [1] we have;
[tex]S_{\infty} = \frac{0.3}{1-0.55}[/tex]
⇒[tex]S_{\infty} = \frac{0.3}{0.45}[/tex]
Simplify:
[tex]S_{\infty} \approx 0.67[/tex]
Therefore, the sum of this infinite geometric series approximate is, 0.67
how many solutions does the equation 4y+7=5+2+4y have?
A. one
B. two
C. None
D. infinitely many
If c1 and c2 are real numbers, give the relationship between them that will allow you to find solutions for the equation x^n + c1 = c2, regardless of the value of n.