12⋅1=12
This is not divisible by 8.
12⋅2=24
This is divisible by 8.
8⋅3 =24
the least common multiple is 24
What is 380,303 rounded to the nearest ten thousands
The required number is 380,303.
It is required to find nearest ten thousands of the number.
What is "Rounding" ?
Rounding means making a number simpler but keeping its value close to what it was.
Given that:
We have to find the nearest ten thousands of the number 380.303.
We know that to round a number to the nearest 10,000, check the thousands digit to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. 45,000 to the nearest 10,000 is 50,000.
So, the number is less than 5000 so, round down or unchanged.
Therefore, the required number is 380,303.
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What is the area, in square millimeters, of a right triangle with a hypotenuse of 68 millimeters and a leg of 60 millimeters?
please Sara recorded the height of the ocean at low tide, with respect to sea level, for four days. Time Low Tide (inches) Monday a.m. −4 Monday p.m. −6 Tuesday a.m. −3 Tuesday p.m. −1 Wednesday a.m. 0 Wednesday p.m. 2 Thursday a.m. −1 Thursday p.m. −3 What is the average height of the ocean at low tide with respect to sea level? Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
The averge of low tide is of -2 inches
nine less than the product of ten and a number d is eleven
Ten times the sum of half a number x and 4 is 7?
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
What is m∠M ?
Enter your answer in the box.
Answer: We can find the measurement of the angle M using that the sum of the interior angles in any triangle is equal to 180°, then:
m<M=98°
Solution:
m<M=(3x-16)°
To find m<M we need "x".
m<N=x°
m<O=(x+6)°
The sum of the interior angles of any triangle is equal to 180°:
m<M + m<N + m<O = 180°
Replacing the angles:
(3x-16)° + x° + (x+6)° = 180°
We have one equation with one variable "x", then we can solve for x. Adding the terms:
(3x-16+x+x+6)°=180°
3x-16+x+x+6=180
Adding similar terms:
5x-10=180
Adding 10 both sides of the equation:
5x-10+10=180+10
5x=190
Dividing both sides of the equation by 5:
5x/5=190/5
x=38
Then:
m<M=(3x-16)°
Replacing x by 38 in the formula above:
m<M=(3(38)-16)°
m<M=(114-16)°
m<M=98°
Simplify the trigonometric expression. Show your work.
1/1+sin theta + 1/1-sin theta
trigonometric identites
1. D
2. B
3. tangent identity
4. A
5. B. 2sec2 therma.
(also, the answer above me is NOT correct. the asnwer was 2sec2 therma.
You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?
there are 5 letters used for the code.
The probability of A being first the number of A’s which can be picked (1) over the total number of letters that can be picked (5).
The probability of A being first is 1/5
1/5 = 0.2
Answer:
Correct answer for plato
Step-by-step explanation:
C. 0.20
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled.
The correct statement describes how the slope relates to the height of the water in the pool is,
The height of the water increases by 2 inches per minute.
Given that,
The slope of the line through the points is 2.
And, the slope relates to the height of the water in the pool.
Here, a table for the height of the water in a pool is shown.
Since the slope of the line through the points is 2.
Hence, It means that,
if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased,
4/2 = 2 inches.
So, the correct statement is,
The height of the water increases by 2 inches per minute.
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Find the complex conjugate of the given number -1+4i
What is the slope of the line that passes through points (5,0) and (10, 0)? How do you know?
TRUE OR FALSE: The number 532 has 2 significant digits.
Select one:
True
False
A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip bck took 14 hours. Find the speed of the boat in still water and the speed of the current.
Please help:
[tex]5^{x-1} + 5 [/tex] x [tex]0.2^{x-2} = 26[/tex]
When I tried it, I got up until canceling the 5s and getting x - 1 - x - 2 = 21
What did I do wrong?
Y is between points J and A. JA=17 and YA=3.
What is JY?
Enter your answer in the box.
JY =
we know that
[tex]JA=JY+YA[/tex]
solve for JY
[tex]JY=JA-YA[/tex]
in this problem we have
[tex]JA=17\ units\\YA=3\ units\\JY=?[/tex]
substitute the values in the formula above
[tex]JY=17-3[/tex]
[tex]JY=14\ units[/tex]
therefore
the answer is
[tex]JY=14\ units[/tex]
Answer:
JY = 14
Step-by-step explanation:
Given : Y is between points J and A.
and JA = 17 and YA = 3.
We have to find the length of JY.
Since, Y is between points J and A.
So, JA = JY + YA
Substitute, JA = 17 and YA = 3.
We have,
17 = JY + 3
Solve for JY, we have,
JY = 17 - 3 = 14
Thus, JY = 14
John runs every day. The number of miles that he runs varies per day. Write a variable expression to show John's total miles for three days."
How do I round 123834392 to the nearest thousand
Find the value of x that makes lines u and v parallel
How many solutions are possible for the equation 5(x-3)=7x-2(x+1)
A rectangle has a perimeter of 112 centimeters. if the length of the rectangle is 3 times its width, find the dimensions of the rectangle.
In angle abc , m angle A =x , m angle B =2x+2, m angle C = 3x+4.what is value x
The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5.
It says simplify so it is written in the form b = log a.
Amount of energy released during Earthquake is [tex]5.23*10^{6} kilowatt[/tex]
The Richter scale is used to measure the magnitude of a earthquake. The magnitude R is,
[tex]R=0.65log(0.39E)+1.45[/tex] E is the energy (measured in kilowatt-hours) released by the earthquake.
Given that, R = 7.5
Substituting the value of R into above equation.
[tex]7.5=0.65log(0.39E)+1.45\\\\7.5-1.45=0.65log(0.39E)\\\\6.05=0.65log(0.39E)\\\\9.31=log(0.39E)\\\\0.39E=10^{9.31}\\\\E=\frac{10^{9.31} }{0.39} \\\\E=5235225499watt\\\\E=5.23*10^{6} kilowatt[/tex]
Thus, Amount of energy released is [tex]5.23*10^{6} kilowatt[/tex]
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A six-sided number cube is labeled with the numbers 1–6, one number on each face. Each number is used exactly once. How many possible outcomes exist when the cube is rolled two times?
Answer:
36
Step-by-step explanation:
When the cube is rolled two times
Let (a,b) denote a possible outcome of rolling the cube twice , with a the number on the top of the first roll and b the number on the top of the second roll
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
There are 36 possibilities for (a,b).
It can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b.
So, the total number of outcomes (a,b) is [tex]6 \times 6 =36[/tex]
Hence the total number of possible outcomes is 36
When the cube is rolled two times, there are a total of 36 possible outcomes.
Use the concept of probability defined as:
Probability is the ratio of:
The number of favorable outcomes to the total number of outcomes for an event's taking place.
Given that,
A six-sided number cube is used, with numbers 1-6 labeled on each face.
Each number is used exactly once on the cube.
The cube is rolled two times.
The objective is to determine the number of possible outcomes when rolling the cube two times.
To find the number of possible outcomes when a six-sided number cube is rolled two times:
Use a simple principle called the multiplication principle.
Since there are six possible outcomes for each roll,
The total number of outcomes for rolling the number cube two times is found by multiplying the number of outcomes for each roll together.
So, if you roll the number cube two times,
There would be 6 outcomes for the first roll and 6 outcomes for the second roll.
Multiplying them together gives us a total of 36 possible outcomes.
Hence,
The answer is 36 possible outcomes when the cube is rolled two times
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If, while training for a marathon, you ran 54 miles in 2 2/3 months, how many miles did you run each month?
54 / 2 2/3 =
54/1 / 8/3 =
54/1 x 3/8 = 162/8 = 20 1/4 miles per month
You roll a six sided dice four times, what is the probability of rolling four sixes?
If the area of the outer square is 4x2, then the area of the inner square is
Final answer:
The area of the inner square is x squared. This is determined by the rule that the ratio of areas of similar figures is the square of the scale factor, with the larger square having dimensions and area four times that of the smaller square.
Explanation:
Considering a larger square with an area of 4x², and given that the dimensions of this square are twice that of a smaller square, we can derive the area of the smaller square by understanding the relationships between the scale factor and the area of similar figures. If Marta's original square has a side length of 4 inches, doubling the dimensions gives a side length of 8 inches for the larger square.
The scale factor for the sides is 2, but when considering area, the scale factor is squared. Consequently, the area of the larger square, which is 8 inches by 8 inches, will be 64 square inches. This area is four times larger than the area of the smaller square, which is 16 square inches (4 inches x 4 inches). Thus, the rule that the ratio of areas of similar figures is the square of the scale factor applies. The area of the inner square would be equivalent to the area of the outer square divided by 4, which in our case, with an outer square area of 4x², leads to an inner square area of x².
A total of 252 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
The number of adult ticket sold are 28.
What is a ticket ?"a piece of paper or card that shows you have paid for a journey, or that allows you to enter a theatre, cinema, etc."
Let, the number of student ticket be x
Let, the number of adult ticket be y
So, [tex]x = 2y[/tex]
And Given,
Total number of tickets are 252
So, [tex]x+y = 252[/tex]
[tex]2y + y = 252\\3y = 252 \\y = 28[/tex]
Hence, the adult tickets sold are 28.
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Which expression is the correct translation of the following word phrase?
"3 multiplied by the sum of a number and 5"
Answer choices:
A) 5X+3
B)3X+5
C)X+(3)(5)
D)3(X+5)
I think the answe is B ,but I think it could be A as well ,but I just need toconfirm if I'm correct or not.Thanks in advance:).
The correct translation of the word phrase '3 multiplied by the sum of a number and 5' is option D) 3(X+5).
Explanation:The correct translation of the word phrase '3 multiplied by the sum of a number and 5' is option D) 3(X+5).
In this expression, the number is represented by X. The sum of the number and 5 is represented by (X+5). Multiplying 3 by the sum gives us 3(X+5).
Which of the following shows the correct order of the numbers below? (1/2) 2 , , 0.45