The greatest common factor of 160, 320 and 480 will be 160.
What is the Greatest Common Factor?The largest positive number that can be evenly divided into the supplied numbers is the most common factor. The largest number that evenly divides all the specified numbers is the greatest common factor.
In maths, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two numbers x and y is represented by the symbol GCD(x,y)
Assumed to be 160, 320 and 480. The numbers are factored to determine the largest common factor.
Factorize number 160
160 = 2×2×2×2×2×5
Factorize number 320
320 = 2×2×2×2×2×2×5
Factorize number 480
480 = 2×2×2×2×2×3×5
The common number between all three numbers is 2⁵×5. Therefore, the greatest common factor of 160, 320 and 480 will be 160.
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Find the measure of the exterior angle.
Answer:
x is 109°
hopefully this will help u
A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.
graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10
Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20
Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.
The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:
Almond bark costs $0.25 more per ounce than peanut brittle.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:
10k = 10
k = 10/10
k = 1.
For Almond Bark, the price per candy is obtained as follows, from the table:
4k = 5
k = 5/4
k = 1.25.
Hence the difference of the prices is:
1.25 - 1 = $0.25.
Which means that the first option is correct.
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Answer:
Almond bark costs $0.25 more per ounce than peanut brittle.
Step-by-step explanation:
absolute value -2i help me quick please
The absolute value of the expression given as -2i is 2i
How to determine the absolute value?From the question, we have the following parameters that can be used in our computation:
Expression = -2i
The absolute value of an expression is represented as
Absolute value = |Expression|
Substitute the known values in the above equation, so, we have the following representation
Absolute value = |-2i|
Evaluate the expression
Absolute value = 2i
Hence, the result of the expression is 2i
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what is 1311 divided by 20=?
using long division and with a remainder
The value of the solution of division is 115 with the remainder 11.
We have to give that,
1311 divided by 20.
Now, using long division as,
1311 divided by 20.
20 ) 2311 ( 115
- 20
------------
31
- 20
------
111
- 100
--------
11
Hence, the solution of division is, 115 with the remainder 11
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A medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total, how many tongue depressors and Band-Aids are there?
The total number of tongue depressors and Band-Aids are 56 and 128 respectively.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,
Let the number of wrapped tongue depressors be w and that of Band-Aids be b,
Therefore,
w+b= 184
0.04w+0.08b = 12.48
w+2b = 312
On solving the equation, by elimination method, we get,
b = 128
Therefore, w+128 = 184
w = 56
Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.
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PLEASE HELP ASAP!!! I WILL MARK YOU YOU BRAINLIEST
Which equations are true equations?
Select all correct answers.
39-3-6 6-10 +4
56 +8+3² - 2.2³
=
24
04-50-6²-8
82 5² 4² - 7
=
-
-
Answer:
C and A
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 0 3 -2 4 -4
The equation of the line is will be y = -2x + 4.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Calculate the slope of the line,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0) / ( 2 - 1) = -2
The y-intercept will be calculated as,
y = mx + c
0 = -2 x 2 + c
c = 4
The equation of the line will be,
y = mx + c
y = -2x + 4
Therefore, the equation of the line will be y = -2x + 4.
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NO LINKS!! Please help me with this one
Answer:
The letter a in an ellipse equation is:
Half of the major axis if a > b and the ellipse is horizontal, orHalf of the minor axis if b > a and the ellipse is vertical.Step-by-step explanation:
General equation of an ellipse
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
where:
center = (h, k)Vertices = (h±a, k) and (h, k±b)Foci = (h±c, k) or (h, k±c) where c²=a²−b²If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical, b is the major radius, and a is the minor radius.
The major axis is the longest diameter of an ellipse, so the major radius is one half of the major axis.
The minor axis is the shortest diameter of an ellipse, so the minor radius is one half of the minor axis.
Therefore the letter a in an ellipse equation is:
The major radius (half of the major axis) if a > b and the ellipse is horizontal, orThe minor radius (half of the minor axis) if b > a and the ellipse is vertical.The table shows the outputs, y, for different inputs, x:
Input
(x) 5 6 7 8
Output
(y) 2 5 8 11
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7?
Part C: Using the relation in Part B, what is the value of x if f(x) = 75?
A. Yes, the data justifies a function because there is no repeating x values.
B. The relation f(x) = 2x + 13 has a greater value at x = 7
C. The value of x when f(x) = 75 is; 31
How to Interpret Function Tables?A) The general formula for equation of a line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
Slope is;
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 2)/(6 - 5)
m = 3
Let us test the first coordinate;
2 = 3(5) + b
2 = 15 + b
2 - 15 = b
-13 = b
so the equation is : y = 3x - 13
B) When x = 7, we have;
y = 3(7) - 13
y = 21 - 13
y = 8
Let us now test for when f(x) = 2x + 13 to get;
f(x) = 2x + 13, when x = 7
f(7) = 2(7) + 13
f(7) = 14 + 13
f(7) = 27
the function has a greater value for f(x) = 2x + 13
C. f(x) = 2x + 13
when f(x) = 75
Thus;
75 = 2x + 13
75 - 13 = 2x
62 = 2x
62/2 = x
31 = x
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4.
Consider the following amount of energy
used for three different activities:
. 1 minute of walking uses
25 kilojoules of energy
A (4
• 1 minute of jogging uses 84 kilojoules
of energy
1 minute of swimming uses
50 kilojoules of energy
a) How many more kilojoules of energy
would you use in an hour of jogging
than an hour of swimming?
b) To the nearest tenth, how many
minutes of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar
In given word problem ,
a) 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) 45 minutes 2 seconds of walking would you have to do to burn up the 1,130 kilojoules in a candy bar.
What is word problem ?
Our extensive collection of math word problems ranges from addition, subtraction, multiplication, and division to more specialised operations. Mathematical questions that are written as one or more sentences and ask students to use their mathematical understanding to solve problems from "real-life" situations are known as word problems. As a result, for kids to understand the word problem, they need to be familiar with the terminology that goes along with the mathematical symbols that they are already used to.
Here the given ,
=> 1 minute walking = 25 kilojoules
=> 1 minute jogging = 84 kilojoules
=> 1 minute swimming = 50 kilojoules.
a) 1 hour = 60 minutes.
1 hour jogging = 60*84 = 5040 kilojoules.
1 hour swimming = 60*50 = 3000
Then , => 5040-3000=2040 kilojoules.
Therefore 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) x minute of walking = 1130 kilojoules.
=> 25*x=1130
=> x = 1130/25 = 45minutes 2 seconds.
Therefore 45 minutes 2 seconds of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar.
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Use technology to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. (Zoom in for improved accuracy.)
Find the intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.4, 0).
(x, y) =
Answer:
(x, y) ≈ (3.4, 1.8)
Step-by-step explanation:
You want the point of intersection of the lines through (0, 1), (4.3, 2) and (2.1, 3), (5.4, 0).
GraphThe first attachment shows a graph of the lines and the coordinates of the point of intersection. The solution is ...
(x, y) ≈ (3.42, 1.8)
(x, y) = (3.4, 1.8) . . . . accurate to 1 decimal place
__
Additional comment
For each pair of points, the equation of the line can be written as ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(2 -1)(x -0) -(4.3 -0)(y -1) = 0 ⇒ x -4.3y +4.3 = 0
and
(0 -3)(x -2.1) -(5.4 -2.1)(y -3) = 0 ⇒ -3x -3.3y +16.2 = 0
The calculator result in the second attachment shows the exact solution to be ...
(x, y) = (3 229/540, 1 43/54) ≈ (3.42407, 1.79630)
Milan has been given a list of bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?
The number of possible different votes for Milan, based on the list of bands is 60 different votes.
How to find the number of possible votes?There are 5 lists of bands that Milan has to choose from to place a vote and there are only 3 bands to be chosen out of the 5 lists.
The total number of different votes possible is therefore possible by performing a permutation:
= 5! / ( 5 - 3) !
= 5 ! / 2 !
= (5 x 4 x 3 x 2 x 1) / (2 x 1)
= 60 different votes
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Evaluate the power.
0.5² =
(Type a whole number or a decimal.)
plseas help
There are 7 students in grade 11 and 15 students in grade 12 that are part of the VSS robotics club. A committee consisting of a president, vice president, media rep, and accountant is being chosen.
a. In how many ways could the panel be chosen if the president and vice president must be from different grades?
b. In how many ways could the panel be chosen if it must include at least one grade 11 student and at least one grade 12 student?
The number of ways to form the committees, using the Fundamental Counting Theorem, are given as follows:
a) President and vice from different grades: 79,800.
b) At least one from each: 141,960.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the factorials as presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For item a, there are two possible cases for the parameters, as follows:
[tex]n_1 = 7, n_2 = 15, n_3 = 20, n_4 = 19[/tex]: President from grade 11, vice from grade 12, the remaining two roles can be chosen from any student.[tex]n_1 = 15, n_2 = 7, n_3 = 20, n_4 = 19[/tex]: President from grade 12, vice from grade 11, the remaining two roles can be chosen from any student.Hence the number of ways is:
N = 7 x 15 x 20 x 19 + 15 x 7 x 20 x 19 = 79,800.
For item b, the total number of outcomes is obtained as follows:
N = 22 x 21 x 20 x 19 = 175,560.
The number of outcomes with only grade 11 students is:
N = 7 x 6 x 5 x 4 = 840.
The number of outcomes with only grade 12 students is:
N = 15 x 14 x 13 x 12 = 32760.
Hence the number of students with at least one of each is:
N = 175,560 - (840 + 32,760) = 141,960.
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what is 4 2/3 - 1 1/3 / 4= because i cant get the right awnser
Step-by-step explanation:
first you have to multiply 4 with 3 and add with 2 and do same as in second .
then do lcm
Find the value of each variable. For the circle, the dot represents the center.
The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
What is meant by circle?A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.
1) Measure of ∠d
∠d+109°=180°
∠d=71°
2) Measure of ∠c,
∠c+93°=180°
∠c=87°
3) Measure of arc a is,
109°=1/2[97°+arc a]
218°=97°+arc a
arc a=121°
4) Measure of arc b,
87°=1/2[121°+arc b]
174°=121°+arc b
arc b=53°
Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
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what is the answer to
$224.50- $225.00
i already did calculator many different wayss
i will report wrong answers UNLESS you actually tried
Answer:_______________________________________________
-0.5
Answer:
224.50
-225.00
$0.50
- 50 cents
Question as shown in the image:
Answer:
arc ABC ≈ 18.2 cm
Step-by-step explanation:
the length of the arc ABC is calculated as
arc = circumference of circle × fraction of circle
the angle around the centre O is 360° , then
angle subtended by arc = 360° - 100° = 260°
then
arc = 2πr × [tex]\frac{260}{360}[/tex] ( t is the radius = 4 )
= 2π × 4 × [tex]\frac{26}{36}[/tex]
= 8π × [tex]\frac{13}{18}[/tex]
= [tex]\frac{8\pi (13)}{18}[/tex]
≈ 18.2 cm (to 3 significant figures )
what is 954 divided by 70 using long division and with a remainder
Answer:
13 Remainder 44
Step-by-step explanation:
The solution after divide is, 13 and remainder = 44
We have to given that;
954 divided by 70 by using long division and with a remainder.
Now, We can divide as,
⇒ 954 divided by 70
70 ) 954 ( 13
-70
----------
254
- 210
----------
44
Therefore, The solution is, 13 and remainder = 44
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Given the following function, the values of p and q are...
f(x)= 3x^2-x-4
A. p=1, q=3
B. p=4, q=3
C. p= -4, q= 3
D. p=3, q=-4
what is the product of 3/4 of 4/5
Answer:
0.6
Step-by-step explanation:
3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2
Then we use this fraction of a fraction formula to solve the problem:
(N1 x N2) / (D1 x D2)
When we enter 3/4 of 4/5 into the formula, we get:
(3 x 4) / (4 x 5) = 12/20
Therefore, the answer to 3/4 of 4/5 in its lowest form is:
3/4 of 4/5 = 3/5
The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6
Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.
Find the value of x.
70
7x
x=?
Answer:
x=5
Step-by-step explanation:
7x=70/2
7x=35
7x/7=35/7
x=5
2x - 5 = 6x + 4
I got 2.25x I think? It's wrong though...
Answer:
x = -2.25
Step-by-step explanation:
To solve this we want to put the x alone on one side
Then by subtracting 6x from both sides
2x - 5 - 6x = 6x + 4 - 6x
- 4x - 5 =4
add 5 for both sides
- 4x - 5 + 5 = 4 + 5
- 4x = 9
Divide both sides by - 4
Then x = 9 / -4 = -2.25
So you only forget the negative sign
Glad to Help
Answer: x= - 9/4 or -2.25
Step-by-step explanation:
2x - 5 = 6x + 4(subtract 4 from the right side to move to the left side and subtract 2x from left side to move to right side)
-4 - 5 = 6x - 2x (now subtract these numbers as they have the same components)
-9 = 4x (divide by 4 to get X alone)
-9/4 = x
find the Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
The polar cordinates given are (r,θ)=(5,− π/4)
And we need to find the cartesian coordinates
We have,
x=rcosθ, y=rsinθ
x=5cos(− π/4) ,y=5sin(− π/4)
x= 5/√2 ,y=− 5/√2
So, the cartesian form is ( 5/√2, -5/√2)
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
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2a × ( 3 + b ) = 6a + 2ab is an example of the property
Answer:
It's an example of the distributive property
2. Find the missing digits of the following UPC code:
55X200100102
The missing digits of the following UPC code 55X200100102 is 3.
What is UPC code?Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.
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In an ecology experiment, a number of mosquitoes are placed in a container with water and vegetation. The population of mosquitoes, P, increases and can be modelled by the function:
P9T)=24*4^0.385t, t is greater than or equal to 0
Where t is the time, in days, since the mosquitoes were placed in the container.
(a) find the number of mosquitoes in the container after 5 days
The maximum capacity of the container is 5000 mosquitoes
(b) Find the number of days until the container reaches its maximum capacity.
Using the given exponential function, it is found that:
a) The number of mosquitoes in the container after 5 days is of: 346.
b) The number of days until the container reaches the maximum capacity is of: 10 days.
What is the exponential function?The exponential function that models this problem is presented as follows:
P(t) = 24(4)^(0.385t).
Hence, after five days, the number of mosquitoes is of:
P(5) = 24(4)^(0.385 x 5) = 346 mosquitoes.
The number of days that it takes for the container to reach it's maximum capacity of 5000 is obtained solving the exponential function with logarithms as follows:
[tex]5000 = 24(4)^{0.385t}[/tex]
[tex](4)^{0.385t} = \frac{5000}{24}[/tex]
[tex](4)^{0.385t} = 208.3[/tex]
[tex]\log{(4)^{0.385t}} = \log{208.3}[/tex]
Applying the power property of logarithms, we have that:
[tex]0.385t\log{4} = \log{208.3}[/tex]
[tex]t = \frac{\log{208.3}}{0.385\log{4}}[/tex]
t = 10 days.
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how much is 1191 less than 1111
Answer: If you mean how much is 1111 less than 1191, then your answer is
80.
Step-by-step explanation: 1191 - 1111 = 80.
write the equation of the line perpendicular to y= 3/2x + 1/2 that passes through the point (-2,4)
The equation of the line is y = (-2/3)x + 8/3
What is a perpendicular line?
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular line can be used to graphically depict the condition of perpendicularity. It can be defined between any pair of lines, any pair of planes, or any pair of lines and planes.
The slope-intercept form of a line is written in the form:
y = mx + b
where:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Here, We have
y= 3/2x + 1/2 that passes through the point (-2,4)
But we do not know the value of b.
We can do this by substituting the point(-2,4), into the equation and we get
y = mx + b
4 = (-2/3)(-2) + b
b = 8/3
Now that you know all your values, rewrite the equation in slope-intercept form:
y = (-2/3)x + 8/3
Hence, the equation of the line is y = (-2/3)x + 8/3
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The length of a rectangle is 26 meters and the width is 1 meters. Find the area. Give your answer without units.
The area of the rectangle is 26 square meters.
Area of a rectangleFrom the question, we are to determine the area of the described rectangle.
The area of a rectangle can be determined by the formula
A = l × w
Where A is the area of the rectangle
l is the length of the rectangle
and w is the width of the rectangle
From the given information,
l = 26 meters
w = 1 meter
Thus,
Area = 26 × 1
Area = 26 square meters
Hence, 26 square meters is the area of the rectangle.
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