Answer: 210
Step-by-step explanation:
This question is about LCM.
We are finding the same time for all 3 light flashes.
Light A: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110,115,120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210
Light B: 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150, 156,162,168,174,180,186,192,198,204,210
Light C: 7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147,154,161,168,175, 182,189,196,203,210
Light A: 42 Light B: 35 Light C: 30
Is this a valid argument?
Given: If two points lie on the same plane, then they are coplanar.
Points X and Y both lie on plane R.
Conclusion: Points X and Y are coplanar.
Yes, this is a valid argument. This argument uses the Law of Detachment.
What is the Law of Detachment in logic?The Law of Detachment states that if the hypothesis of a true conditional statement is true, then the conclusion must be true as well. The Law of Detachment is the most often employed deductive reasoning theory.
Given:
Points X and Y both lie on plane R.
Conclusion: Points X and Y are coplanar.
The argument is true because,
The term "coplanar" refers to "being on the same plane." Coplanar points are points that are on the same plane. A group of points in space is said to be coplanar if there is a geometric plane that contains all of them.
Hence, the Conclusion is Points X and Y are coplanar.
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Which is more 15% or 1/4
Answer: 1/4 is more
Step-by-step explanation:
1/4=25%
25%>15%
1/4>15%
1/4 is more than 15%
izzes
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 45° arc?
45⁰
The area of the sector is 6.28 cm².
What is a sector?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the shape of a circle's sector.So, the area of the sector:
The formula for the area of the sector: θ/360 πr²Where θ is 45° and r is 4cm.Now, substitute the values in the formula as follows:
θ/360 πr²45/360 π4²1/8 π16π2(Let π be 3.14)
π2 = 6.28Therefore, the area of the sector is 6.28 cm².
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use lagrange multipliers to find two positive numbers whose product is 196 and whose sum is a minimum. (enter your answers as a comma-separated list.)
Required Lagrange multipliers are 14,14.
What are Lagrange multipliers?
In multivariable calculus, Lagrange multipliers are used to locate the maximum and minimum of a function that is subject to restrictions.An approach for locating a function's maximum or minimum is the Lagrange multiplier method.The growth in the optimization problem (f(x, y)) that results from a marginal relaxation of the constraint is quantified by the Lagrange multiplier.We have to minimize f(x,y)=x+y'
subject to xy=196 ............(1)
x>0,y>0
Let L(x,y,d)= f(x,y)+d(XY-196)
∀L= [tex](\frac{Lx}{Ly} )=(\frac{1+dy}{1+dx} )[/tex]
For critical points,
∀L=0
⇒[tex](\frac{1+dy}{1+dx} )=\frac{0}{0}[/tex]
⇒ x,y= -1/d
Substituting in equation 1, we get,
d=±1/14
d=+1/14 ⇒ x=y=-14 (neglect)
d=-1/14 ⇒ x=y=+14
∵ x>0, y>0.
Hence, x=y=14
Function's maximum or minimum
f(x,y)=f(14,14)=28
Required Lagrange multipliers are 14,14.
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Graph the line with slope -3/4 and y-intercept 9.
The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.
Based on the conditions formulate:
m=-3/4
and b = 9
Write the equation of the linear function:
y=mx+b
substitute m=-3/4 and b=9 into y=mx+b:
y = -3/4x+9
A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.
This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.
plot the y intercept (0,9) in the xy axis.
Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.
Hence the required graph is plotted.
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A farmer has 80 animals on his farm.The animals consist of cows and chickens .Given there are 216 legs altogether among the animals, how many cows are there?
The farmer has 28 cows from a total of 80 animals in the farm.
How many cows and chickens does the farmer have in the farm?
Each chicken has two legs and each cow has four legs. The farmer has a total of 216 legs among all the animals, which are 80. Then, we can represent the situation with the following system of linear equations:
x + y = 80
4 · x + 2 · y = 216
Where:
x - The number of cows.y - The number of chickens.The system can be solved easily by some algebraic handling:
x = 80 - y
4 · (80 - y) + 2 · y = 216
320 - 4 · y + 2 · y = 216
320 - 2 · y = 216
2 · y = 320 - 216
2 · y = 104
y = 52
x = 80 - 52
x = 28
The farmer has 28 cows.
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in a sale , normal prices are reduced by 17%. the normal price of a washing machine is reduced by £42.50. work out the sales price of the washing machine
The sales price of washing machine is 250.
What is sales price?The price at which something sells or is offered for sale after having its price lowered is known as sales price.
A sale price is the reduced cost at which goods or services are offered for sale. Typically, this price is provided for a brief period of time in an effort to boost sales during a slow period or get rid of extra inventory.
The promotional price is indicated as a percentage off of the standard list price.
Let x be the sales price of washing machine, then as per given
17% of x = 42.5
(17/100) * x =42.5
x = 250
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Find the slope of the line that contains the given point
Answer:
(2, 1) and (4, 2): [tex]\frac{1}{2}[/tex]
(-4, 5) and (-3, -7): [tex]-12[/tex]
Step-by-step explanation:
Hello! Let's help you with that problem there!
So we know that in a slope intercept form, it is depicted as [tex]y=mx+b[/tex]. There are two ways to essentially find m, which is slope in this case. The first method is the [tex]\frac{rise}{run}[/tex] method. This is typically used when you have a graph to look off from and it's just a matter of counting the displacement from one point to another.
However, there is another way to find the slope given 2 points and that is what we are going to do here, since we have no graph to reference and have all the relevant information to find the slope using this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
With this formula, we can plug in the coordinate values and solve for the slope!
(2, 1) and (4, 2):
[tex]m=\frac{2-1}{4-2}[/tex]
[tex]m=\frac{1}{2}[/tex]
Therefore, the slope of these points is [tex]m=\frac{1}{2}[/tex]
(-4, 5) and (-3, -7):
[tex]m=\frac{-7-5}{-3-(-4)}[/tex]
[tex]m=\frac{-12}{1}[/tex]
[tex]m=-12[/tex]
Therefore, the slope of these points is [tex]m=\frac{-12}{1}[/tex] or [tex]m=-12[/tex]
Aislinn bought a new car. After 8 months, the odometer read 14,010 miles. How many miles did
Aislinn average per month on her car?
OA. Aislinn drove an average of 876 miles per month.
OB. Aislinn drove an average of 1,168 miles per month.
OC. Aislinn drove an average of 1,401 miles per month.
D. Aislinn drove an average of 1,751 miles per month.
When
out their o
19 milon
4
if their
d) Aislinn's average per month on her car is 1,751 miles per month.
How to find the average speed?The average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. Speed is the rate at which something moves at any given time.
Average speed is the average rate of speed over the course of a journey. Velocity exists as the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard.
Given,
After 8 months, the odometer read 14,010 miles.
Solution:
t = 8,
d = 14,010 miles,
s = ?
s = d/t
s = 14,010/8
s = 1751 miles/month.
Aislinn drove an average of 1,751 miles per month.
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A pet store clerk suggested 4 small fish for a 5-gallon fish tank. What size tank would be suggested to hold 60 small fish?
12-gallon tank
48-gallon tank
75-gallon tank
240-gallon tank
The size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
A pet store clerk suggested 4 small fish for a 5-gallon fish tank.
4 small fish = 5-gallon
60 small fish = x gallon
x = (5)(60)/4
x = 75 gallon-tank
Thus, the size of the tank would be suggested to hold 60 small fish is 75 gallon-tank option (C) is 75 gallon-tank.
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is 0.49 a rational or irrational number?
(please explain how you know this)
Answer:
Rational
Step-by-step explanation:
there are very few irrational numbers, such as
[tex] \sqrt{2} [/tex]
or π
most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as
[tex] \frac{49}{100} [/tex]
Look at the pic tell me what’s correct
Answer:
B
Step-by-step explanation:
V = 27(0.8)^1
V = 21.6
V = 27(0.8)^2
V = 17.28
And more
24 students in a class took an algebra test
If 18 students passed the test, what percent passed
Answer:
only 75% of the class or students passed the algebra test
Answer: 75%
Step-by-step explanation: The equation for percentages is: part = percent • whole.
We can use our given values and plug them into the equation to solve for our percent.
In this problem, the “part” is 18, and our “whole” is 24, since the whole class has 24 people, and part of the class (18) passed.
P = % • W
18 = % • 24
(to solve for %, we have to get isolate it, or get rid of the • 24. We use division, the opposite operation, to cancel our • 24.)
18 = % • 24
÷24 ÷24
0.75 = %
Since percents are out of 100, we have to multiply 0.75 by 100.
0.75 • 100 = 75%
I hope this helped!
What is a x? Show your work
Answer:
a value that is not yet shown
Step-by-step explanation:
Mark me as branlist to help
Sam counted 12 liters of hand sanitizer in the storage cabinet . He fills the seven of the examination rooms as follows : 350 mL , 600 mL , 475 mL, 580 720 , and 500 mL .a)How many total milliliters did sam use to fill the dispensers?B) After filling the dispensers, how many liters of sanitizer remain in the storage cabinet?
a) To know the total millilites that sam use to fil the dispenser, we will have to add all the seven amount filled as shown;
Total (in milliliters) = 350 mL + 600 mL + 475 mL + 580mL + 720mL + 500 mL
Total (in milliliters) = 3225mL
Hence the total milliliters that sam use to fill the dispensers is 3225millilitres
b) The amount liters of sanitizer remaining will be 12litres - 3225mL
Convert 3225mL to litres
3225mL = 3225/1000 Litres
3225mL = 3.225litres
The amount liters of sanitizer remaining = 12 - 3.225
The amount liters of sanitizer remaining = 8.775litres
Determined whether the relation is a function. If it is not a function, circle the ordered pairs that cause it not to be a function.
To be a function, each input can only go to one output
A. The input 1 goes to two different output values
(1,6) (1,7) causes it not to be a function
B. This is a function. Each input has only one output value
C. The input 0 goes to two different output values
(0,-5) snf (0,4) causes it not to be a function
What is The sum of two consecutive even integers divided by four is 1895
Answer:
I don't understand what the question is asking, so just see if you can get something from what I wrote below.
Step-by-step explanation:
Call the first number x and the next one x+2.
(x+ (x+2))/4 = 1895
Multiply by 4 on both sides...
x+(x+2) = 7580
Simplify on the left side...
2x+2 = 7580
2x = 7578
Divide by 2...
x = 3,789
x+2 = 3791
8. the floor of a rectangular meeting room has raised platform that is the same length as the room. the whole room has an area of 46 14/15, ( 7 1 /3 yards )
Part B Suppose there are of the platform is 7 34/45 square yards. what fraction of the entire floor is the raised platform. P.s make sure to show your work
Answer:The width of the room is .
Step-by-step explanation:
Consider the provided information.
It is given that the whole room has an area 46 14/15 sq yd.
This can be written as:
yd.
Now consider the figure shown below:
From the figure we know that the length of the rectangular meeting room is yd.
The area of rectangle is
Let width of the rectangle is w yard.
Hence, the width of the room is .
active attachment
Step-by-step explanation:
The width of the room is .
Step-by-step explanation:
Consider the provided information.
It is given that the whole room has an area 46 14/15 sq yd.
This can be written as:
yd.
Now consider the figure shown below:
From the figure we know that the length of the rectangular meeting room is yd.
The area of rectangle is
Let width of the rectangle is w yard.
Hence, the width of the room is .
active attachment
How many toys would Patricia build in 10 hours if she built 5 toys
every 6 minutes?
Answer:
500
Step-by-step explanation:
she can build 5 in 6 minutes. 6 × 10 is 1 hour
so you would do 5 × 10 = 50
then multiply 50 × 10 hours = 500 toys
Answer:
Patricia will build 500 toys in 10 hours
Step-by-step explanation:
5 toys ? toys
--------- = ----------
6 minutes 10 hours
so we would turn the hours into minutes which would be
600 minutes.
5 toys ? toys
--------- = ----------
6 minutes 600 mins
Then we would cross multiply and that will give us how many toys she can build in 10 hours, which is 500 toys.
What is the area of a triangle whose vertices are R(3, 4), S(6, 2), and T(7, 10)?
Enter your answer in the box.
[ ] units²
The area of the triangle is 13 square units.
We are given the coordinates of the vertices of a triangle.The coordinates of the vertices of the triangle are R(3, 4), S(6, 2), and T(7, 10).We need to find the area of the triangle.We know the coordinates of all the vertices.We will use the formula in coordinate geometry.Let the area of the triangle be "A".The equation can be written as given below :A = (1/2)[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]A = (1/2)[3(2 - 10) + 6(10 - 4) + 7(4 - 2)]A = (1/2)[3(-8) + 6(6) + 7(2)]A = (1/2)[-24 + 36 + 14]A = (1/2)(26)A = 13The area of the triangle is 13 square units.To learn more about equations, visit :
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Pls, Help Right Now For 10!!!!!!!
Answer:
9
01000101010101010101011101010110110101011010
10101010101010110101101010101011011001010101
10101010100101010101010101101101101010101010
Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?
Answer:
15 hours
Step-by-step explanation:Easy math
Answer:
663
Step-by-step explanation:
Good luck on this
for a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?
The z-score corresponding to a score that is 12 points above the mean is 2.
The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that
z-score = (x – μ) / σ
where x = sample data value
μ = mean
σ = standard deviation
If the sample score is 12 points above the mean, then (x – μ) = 12.
(x – μ) = 12
σ = 6
Substitute the values to the z-score formula.
z-score = (x – μ) / σ
z-score = 12/6
z-score = 2
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show me the standard algorithm for 546 divided by 13
The value of the quotient expression 546 ÷ 13 is 42
How to evaluate the expressions?The expression is given as
546 divided by 13
Rewrite the expression as
546 ÷ 13
By the standard algorithm, we have
The expression can be solved using a calculator and with the use of standard algorithm i.e. partial decomposition
By the rule of partial decomposition, we have
a ÷ b = (c ÷ d) ÷ b
Where
a = c + d
Next, we expand the expression as follows:
546 ÷ 13 = (520 + 26) ÷ 13
Remove the brackets
So, we have
546 ÷ 13 = 520 ÷ 13 + 26 ÷ 13
Evaluate the quotients
So, we have
546 ÷ 13 = 40 + 2
Evaluate the sum
So, we have
546 ÷ 13 = 42
Hence, the solution of 546 ÷ 13 is 42
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In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class how many boys are there
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Nerissa will choose a purple bow?
1/2
2/5
1/10
3/5
Answer: 2/5 is
Step-by-step explanation: 2/5 is equal to 40% and there is 10 bows
Help me please is do today
The unknown variable, h of the equation is 18
How to find variable in an equation?A variable is a number represented by a letter in an equation.
The unknown variable in the equation is variable h.
Therefore, let's find the value of h.
A = 1 / 2 h(B + b)
where
A = 153B = 10b = 7Therefore, let's substitute the known values in the equation.
153 = 1 / 2h(10 + 7)
153 = 1 / 2 h(17)
153 = 17 / 2 h
cross multiply
153 × 2 = 17h
306 = 17h
divide both sides by 17
h = 306 / 17
Therefore,
h = 18
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◄) Add.
8/11+6/11+6/11+7/15
Answer:
[tex]\frac{377}{165}[/tex] or 2 [tex]\frac{47}{165}[/tex]
Step-by-step explanation:
Please please help! :)
Answer:
∠ 2 = 140°
Step-by-step explanation:
the left base angle in the triangle and 110° are a linear pair and sum to 180°
base angle + 110° = 180° ( subtract 110° from both sides )
base angle = 70°
the 2 sides of the triangle are congruent so Δ is isosceles with base angles congruent.
the vertex of the Δ is then
(180 - 70 - 70)° = 180° - 140° = 40°
the vertex and ∠ 2 are a linear pair and sum to 180° , that is
∠ 2 + 40° = 180° ( subtract 40° from both sides )
∠ 2 = 140°
Directions: Write the slope form of the equation with the given information.
13) through (3,4) and (5,-2)
Answer:
y=-3x+13
Step-by-step explanation:
step one you will need to find the slope by the Y2 minus y1 all over x2 minus X1 formula. so you would have -2 - 4 all over 5 - 3 . you will get -6 over 2 which is equal to -3 . that means that -3 is the slope .
Step 2 you can find the equation with the point slope form formula . the point slope form formula is y-y1=m(x-x1). by substituting your values into these equation you can find the equation of this line . you can substitute any point into it as long as it is on the line . let's use (3,4) where 3=x1 and 4=y1.
step 3. simplify. you will get y-4=-3(x-3). keep in mind I substituted -3 into the equation because -3 is the slope.
you can simplify this if you want to . you will get y=-3(x-3)+4. it becomes through foiling, y=-3x+9+4. it simplifies to y=-3x+13.
