1 because 13 is not divisible buy anything other than 1
The LCM of 5, 13 and 10 is 130.
What is the LCM of 5,13 and 10?The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.
The LCM is the smallest number that is a multiple of 5, 13, and 10. To find the LCM, we can use the following steps:
1. Find the prime factorization of each number.
2. Find the highest power of each prime factor.
3. Multiply the prime factors together, using the highest power of each factor.
The prime factorization of 5 is 5.
The prime factorization of 13 is 13.
The prime factorization of 10 is 2 * 5.
The highest power of 2 is 1.
The highest power of 5 is 1.
The highest power of 13 is 1.
Therefore, the LCM of 5, 13, and 10 is:
2 * 5 * 13 = 130
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The bargain shows a company‘s income and expenses over the last five years. Which team is supported by the information in the graph
Check the picture below.
x+x+3+4 what is this answer
Answer:
2x+7
Step-by-step explanation:
a driveway is 40 yards long. about how many meters long is it? HINT: ( a yard is 0.914 meter long)
Answer:
Driveway is 36.57 meters long.
Step-by-step explanation:
We are given the length of a driveway to be 40 yards and we are to find its length in meters.
We know that 1 yard is equal to 0.914 meter long. So we will simply multiply 40 by 0.914 to find the length of the driveway in the meters.
Length of driveway in meters = [tex]40 \times 0.914[/tex] = 36.57 meters
The required, driveway is approximately 36.576 meters long.
To convert yards to meters, we can use the conversion factor: 1 yard = 0.9144 meters.
Given that the driveway is 40 yards long, we can calculate its length in meters by multiplying 40 yards by the conversion factor:
40 yards * 0.9144 meters/yard = 36.576 meters.
Therefore, the driveway is approximately 36.576 meters long.
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Which measurement could be a volume measure?
25 kg
36 m2
44 mm
75 in3
Answer:
75 in^3
Step-by-step explanation:
i know because i had the test, and the other persons answer is wrong :)
Calculate the volume of the composite solid. Round your answer to the nearest hundreth
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
V: It's the volume
A: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2) ^ 2 * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 \ m ^ 3[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac {\pi * r ^ 2 * h} {3}[/tex]
V: It's the volume
A: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac {\pi * (7.2) ^ 2 * 11} {3}\\V = \frac {\pi * 51.84 * 11} {3}\\V = 597.153931594347 \ m ^ 3[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 \ m ^ 3[/tex]
If we round up we have:
[tex]V = 2551.48 \ m ^ 3[/tex]
Answer:
[tex]V = 2551.48 \ m ^ 3[/tex]
A fair four-sided number die is marked 1, 2, 2, and 3. A spinner, equally divided into
3 sectors, is marked 3, 4, and 7. Jamie tosses the number die and spins the spinner.
a) Use a possibility diagram to find the probability that the sum of the two resulting
numbers is greater than 5.
b) Use a possibility diagram to find the probability that the product of the two
resulting numbers is odd.
The probability that the sum of the two resulting numbers is greater than 5 is 2/3
The probability that the product of the two resulting numbers is odd is 1/3
How to determine the required probabilities
From the question, we have the following parameters that can be used in our computation:
Die = {1, 2, 2, 4}
Spinner = {3, 4, 7}
The sample space is represented as
Space = {(1, 3), (1, 4), (1, 7), (2, 3), (2, 4), (2, 7), (2, 3), (2, 4), (2, 7), (4, 3), (4, 4), (4, 7)}
For the sum greater than 5, we have the following space
Space = {4, 5, 8, 5, 6, 9, 5, 6, 9, 7, 8, 11}
In the above, we have
Total = 12
Sum greater than 5 = 8
So, this probability is
P = 8/12 = 2/3
For the product resulting in odd numbers, we have the following space
Space = {3, 4, 7, 6, 8, 14, 6, 8, 14, 9, 12, 21}
In the above, we have
Total = 12
Odd results = 4
So, this probability is
P = 4/12 = 1/3
Hence, the probabilities are 2/3 and 1/3
Geometry! Please Help!
x = 7
hope this helps!
divide the number line below into thirds
Since there is no number line below I’m going to do this.
_________ __________ __________
Just split it into three ,’:b
Express the series in summation notation.
2 + 4 + 6 + 8 + 10 + 12
ANSWER
[tex] \sum _{n = 1} ^{6} 2n[/tex]
EXPLANATION
The series is:
2 + 4 + 6 + 8 + 10 + 12
The first term is:
f(1)=2
The common difference is
[tex]d= 4 - 2 = 2[/tex]
The formula for the corresponding sequence is
[tex]f(n) = 2 + 2(n - 1)[/tex]
[tex]f(n) = 2 + 2n - 2[/tex]
[tex]f(n) = 2n[/tex]
The summation notation is:
[tex] \sum _{n = 1} ^{6} 2n[/tex]
A pair of belted pulleys have diameters of 18 in. and 12 in. If the smaller pulley turns at 750 rpm, how fast will the larger pulley turn, to the nearest rpm?
I did this earlier for a senior but believed I got it wrong based on that I fixed it to this : 62.5 was the percentage so 6250% so 18x 62.5 1125 HEY that’s reasonable please keep in mind I’m in middle school and you should double check this
From conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
What is conservation of angular velocity ?The conservation of angular velocity states that the angular velocity for a conjugate system will be always equal to the angular velocity of a part of the same system.
Mathematically -
r1ω1 = r2ω2 = r3ω3 = ................. = rnωn
where r is the radius of the circular belts, ω is the angular velocity and n is the total number of segments in the conjugate system.
What is the speed of the larger pulley turn in the problem ?Given that a pair of belted pulleys have diameters of 18 in. and 12 in. Also given that the smaller pulley turns at 750 rpm.
The radius of the pulleys are 9 in. and 6 in. respectively.
Let x rpm be the speed of the larger pulley turn.
From conservation of angular velocity, we have
⇒ 6 * 750 = 9 * x
⇒ x = (6 * 750)/9
∴ x = 500 rpm
Therefore, from conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
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Choose all of the terms that describe the set of lines.
Transversal
Parallel lines
Perpendicular lines
Intersecting lines
These lines are only parallel lines because these lines don't touch each other and parallel lines don't touch each other.
Answer:
These lines are only parallel.
if the federal reserve sells 50,000in treasury bonds to a bank at 6% interest ,what is the immediate effect on the money supply
Answer:
if the federal reserve sells 50,000 in treasury bonds to a bank at 6% interest, the immediate effect on the money supply would be; the money supply would decrease by $50,000
Step-by-step explanation:
if the federal reserve sells 50,000 in treasury bonds to a bank at 6% interest, the immediate effect on the money supply would be; the money supply would decrease by $50,000.
The $50,000 will be transferred to the federal reserves and thus not available to be borrowed by the public.
When the Federal Reserve sells Treasury bonds to a bank, the money supply decreases. This is because the bank, having bought the bonds, will have to reduce its loans to maintain requisite reserves. This is a product of open market operations, a monetary policy tool active within the central banking system.
Explanation:The question you're asking pertains to the field of macroeconomics, specifically monetary policy. You're curious about the effects on the money supply if the Federal Reserve sells $50,000 in Treasury bonds to a bank at 6% interest.
When the Federal Reserve sells these bonds to a bank, it effectively reduces the amount the bank can loan out to customers. The financial institution has to hold a certain amount in reserves, hence, by buying the bonds, it has to reduce its loans to fulfill this requirement. This, therefore, results in an immediate decrease in the money supply.
It's important to note that the Federal Reserve sells bonds to control the flow of money in the economy. This selling of bonds is a type of monetary policy tool called open market operations, which is used to influence the quantity of bank reserves and the level of interest rates.
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3. One less than twice a number, x, is equal to four.
4. A number divided by six is one-half.
Answer:
3. 2x - 1 = 4
4. x/6 = 1/2
The value of the solutions are,
3) x = 5/2
4) y = 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''One less than twice a number, x, is equal to four.''
And, ''A number divided by six is one-half.''
Now,
Since, The algebraic expression is,
''One less than twice a number, x, is equal to four.''
Hence, We can formulate;
⇒ 2x - 1 = 4
Solve for x;
⇒ 2x = 4 + 1
⇒ 2x = 5
⇒ x = 5/2
4) The algebraic expression is,
⇒ ''A number divided by six is one-half.''
Hence, We can formulate;
⇒ y/6 = 1/2
Solve for y as;
⇒ y = 6×1/2
⇒ y = 6/2
⇒ y = 3
Thus, The value of the solutions are,
3) x = 5/2
4) y = 3
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Ricky has 27 fewer stamps than Elsa. If Elsa has 62 stamps, how many stamps does Ricky have?
Answer: 34
Step-by-step explanation: 34 answer
The answer is 35. This is because 62 - 27 = 35
What can you do to the equation 9x + 4 = 11x – 6 to change it to the form 4 = 2x – 6?
Answer:
Subtract 9x from both sides.
Step-by-step explanation:
Answer:
Subtract 9x from both sides
scientific notation is good way to write what numbers
It’s a great way to write numbers that are very big numbers or very small numbers.
Have a great day!
Round 1.5651 to the nearest hundredth
Answer:
1.57
it would be 1.57
Answer:
1.5651 to the nearest hundred would be 1.57
Step-by-step explanation:
what is the solution to
- 4x + 28 > 12
Answer:
[tex]\large\boxed{x<4\to x\in(-\infty,\ 4)}[/tex]
Step-by-step explanation:
[tex]-4x+28>12\qquad\text{subtract 28 from both sides}\\\\-4x>-16\qquad\text{change the signs}\\\\4x<16\qquad\text{divide both sides by 4}}\\\\x<4[/tex]
(05.06)
A system of linear inequalities is shown below:
y-x>0
x+1<0
Which of the following graphs best represents the solution set to this system of linear inequalities
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y-x> 0 -----> inequality A
y> x
The solution of the inequality A is the shaded area above the dashed line y=x
x+1<0 ----> inequality B
x < -1
The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)
therefore
The solution of the system of inequalities in the attached figure
(10 points)
Solve for x. Assume that the lines which appear to be tangent are tangent
The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.
1. 4x + 3 = 3x +12
Subtract 3x from each side:
x +3 = 12
Subtract 3 from both sides:
x = 9
2. -2 + x = 2x -7
Subtract 2x from both sides:
-2 - x = -7
Add 2 to each side:
-x = -5
Multiply both sides by -1:
x = 5
The value of x for both the circles is 9 and 5 .
What are Tangents ?
A tangent for a circle is defined as a straight line which touches the circle at just one point.
The tangent is perpendicular to the radius of the circle at the point of where tangent touches the circle.
It is given in the question to find the value of x
When two tangents meet at a point C , the distance between the point of tangency and the point C is equal for both the tangent.
Therefore for the given circle
For first circle to solve for x , we will equate the two distances
4x + 3 = 3x +12
x +3 = 12
x = 9
-2 + x = 2x -7
-2 - x = -7
-x = -5
x = 5
Therefore the value of x for both the circles is 9 and 5 .
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Isabella caries a box up a metal ramp into the back truck. The ramp is 3 meters long and the bottom makes a 32 degree angle with the ground. How many meters is the ground distance between the bottom of the ramp and the back of the truck?
Answer:
2.5 m
Step-by-step explanation:
Consider the ramp, the ground and the back of the lorry to form a right triangle where the ramp is the hypotenuse and the distance from the back of the lorry is the adjacent side, x
Using the cosine ratio in the right triangle
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3}[/tex]
Multiply both sides by 3
3 × cos32° = x, hence
x ≈2.5 m
PLEASE HELP WILL GIVE POINTS!!!!!!!!!!!!PLS PLS PLS
Answer:
25 + 144 = 169
Step-by-step explanation:
Take a look at the first possible answer:
5² + 12² = 13². Is this true or not?
25 + 144 = 169, which is equal to 13². This set of side lengths represents a right triangle.
Answer:
5² + 12² = 13²
Step-by-step explanation:
[tex] {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \\ \sqrt{169} = ±13[/tex]
I am joyous to assist you anytime.
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Use the order of operations. Which operation should you perform last to evaluate the expression? (7×4)+(10÷2)×(14.7−9)
A.multiplication
B. division
C. addition
D. subtraction
Answer:
Pemdas subtracting would be last
Step-by-step explanation:
The operation should perform last to evaluate the expression is Addition.
What is BODMAS?The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement.
B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction.
We have the expression,
(7×4)+(10÷2)×(14.7−9)
Now, using BODMAS first division is performed.
(7×4)+ 5 x (14.7−9)
Now, Multiplication is performed
28 + 5 x (14.7-9)
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Two cars simultaneously started traveling towards each other from two cities, which are 400 miles apart. Car 1 travels 20mph faster than Car 2, and they met in 4 hours. What are the speeds of the cars?
Answer:
The first car travels at 60 mph and the second at 40 mph.
Step-by-step explanation:
Let's represent the speed of the first car as s1 and that of the second car as s1. Then s1 = s2 + 20 reflects the fact that the speed of the first car is 20 mph faster than that of the second car.
The total distance traveled is 400 miles. Since distance = rate times time,
time = distance / rate.
First car: (s1*t) is the distance traveled;
Second car: (s2*t) is the distance traveled.
Adding these two distances together results in 400 miles:
s1*t + s2*t = 400 miles, or
t(s1 + s2) = 400 miles. Let's eliminate s1 by substituting s2+ 20 for it:
t(s2 + 20 + s2) = 400 miles. But we know t: the cars both travel 4 hours.
Thus,
(4 hr)(2s2 + 20) = 400 miles, or
(after dividing both sides by 4 hr)
(2s2 + 20) = 100 miles/hr
Subtracting 20 from both sides:
2s2 = 80, so that s2 = 40 mph.
If s2 = 40 mph, then s1 = s2 + 20 = 60 mph
The first car travels at 60 mph and the second at 40 mph.
Answer:
The first car travels at 60 mph and the second at 40 mph.
Step-by-step explanation:
hope this helps... :)
There are 6 people in Eden's family. Each person drinks 2/5 of a gallon of milk each week. How many gallons of milk does Eden's family drink each week?
Answer: 2 2/5
Step-by-step explanation:
You can do 6 * 2/5 = 2 2/5
OR
You can do 2 + 2 + 2/5
6/5 = 1 1/5 * 2 = 2 2/5
Answer:Answer is 2 and 3
Step-by-step explanation:trust me
2. Trey measured the mass of some pebbles What is the combined mass of the pebbles that are 4 1/2 grams or more?
Answer:
66 g
Step-by-step explanation:
You want the combined mass of pebbles that are 4.5 grams or more, given the histogram of masses.
HistogramEach dot in the diagram represents one pebble, so the 5 dots above the mass of 4.5 g mean there were 5 pebbles with that mass.
The total mass of pebbles with mass 4.5 g or more will be the sum of the masses of each of the pebbles located in that column, and the columns to its right. Of course, we can use multiplication to simplify the repeated addition:
5×(4.5 g) +4×(5 g) +3×(5.5 g) +1×(7 g) = 66 g
The combined mass of the pebbles 4.5 g or more is 66 g.
Damien has lived in the apartment building for five years. Ken has lived there for 250 weeks. Who has lived in the building longer? Explain. Make a table to help
Answer: Damien lived in his apartment longer.
Step-by-step explanation: Damien lived in his apartment longer because if you convert five years into weeks you get 260 weeks. 260 weeks is greater than 250 weeks.
Answer: Damien has lived in the apartment longer.
Step-by-step explanation: A year is aproxiamtely 52.1429 weeks long. Divide 250 by a years worth of weeks and you get 4.79 years. Damien has lived in the apartment 5 years making him live in the building longer.
How do you graph |x| = -2
Answer:
Graph of given function doesn't exist.
Step-by-step explanation:
Given equation is [tex]|x|=-2[/tex].
Now we need to determine about how do you graph [tex]|x|=-2[/tex].
We know that [tex]|x|[/tex] represents absolute value function.
By definition of absolute value function, we know that output of [tex]|x|[/tex] must always be positive.
But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.
That is not possible.
Hence there is no solution to the given problem [tex]|x|=-2[/tex].
So the graph of given function doesn't exist.
Round the answer to two decimal places
Answer:
C. 0.26
Step-by-step explanation:
If the student selected was a sophomore at the jazz concert, we'd use the table to find the student being out of 35 students in the same situation. To get the correct answer you must take 35 divided by the total number of students attended (137). Therefore, 35/137= 0.255 rounded to the nearest tenth would be 0.26
Hope this helps! :)
Answer:
C) 0.26
Step-by-step explanation:
35 sophomores attended the jazz concert out of 137 total students.
Divide 35 by 137, which is roughly 0.25547445...
Round two decimal places and you will get 0.26.
3x +2y = 19
- 4x +3y = -14
Answer:
x = 5 and y = 2, or (5,2) (Whichever one you do in class)
Step-by-step explanation:
You should solve this problem using substitution!
First you want to solve for x on this equation, 3x + 2y = 19.
start by subtracting 2y on each side, 3x + 2y(-2y) = 19(-2y). 3x = -2y + 19
Then divide by 3, 3x/3 = (-2y + 19)/3, this would give you x = (-2y + 19)/3
Next you substitute (-2y + 19)/3 in for x in 4x + 3y = -14: 4(-2y/3 + 19/3) + 3y = -14
Then Solve: (See Math Papa Algebra Calculator if you want to know exactly how to solve.) This would give you y = 2
Then substitute the 2: giving you x = 5
To solve the system of equations, use the method of elimination. Multiply both equations by suitable constants to eliminate one variable and then solve for the other variable. Substitute the value of one variable back into one of the original equations to solve for the other variable. The solution to the system of equations is obtained by finding the values of x and y that satisfy both equations.
Explanation:The given question consists of a system of two linear equations:
3x + 2y = 19
-4x + 3y = -14
To solve this system, we can use the substitution or elimination method. Let's use the method of elimination:
Multiply the first equation by 3 and the second equation by 2 to eliminate the x variable: 9x + 6y = 57 and -8x + 6y = -28Subtract the second equation from the first equation to eliminate the y variable: 17x = 85Divide both sides of the equation by 17 to solve for x: x = 5Substitute the value of x back into one of the original equations to solve for y: 3(5) + 2y = 19https://brainly.com/question/27063359
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