Answer:
Step-by-step explanation:
45=3×3×5
60=2×2×3×5
L.C.M=180
2| 180
2|90
3|45
3|15
3|5
180=2×2×3×3×5
third number=2×3=6
or 2×2×3=12
or2×3×3=18
or 2×2×3×3=36
so third number can be one of 6,12,18,36
Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.
Answer:
[tex]AC=20[/tex]
Step-by-step explanation:
The line segment AC is the entire length of the line. Within this segment, point B is found.
Point B, in a way, splits the segment into two, creating the segments AB and BC.
To find the length of AC, add the lengths of the lines AB and BC together:
[tex]AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC[/tex]
The length of AC is 20.
:Done
Answer:
20 units.
Step-by-step explanation:
Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.
If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.
Hope this helps!
Sam ran 63,756 feet in 70 minutes. What is Sam's rate in
miles per hour? (There are 5,280 feet in one mile.)
Step 1: What is Sam's rate as stated?
63,756 feet
63, 756 ft
70 min
70 minutes
Step 2: What factor is used to convert feet per minute into
miles per minute?
Step 3: what factor is used to convert miles per minute to miles per hour
Answer:
10.35 miles per hour
Sam's rate as stated is 63,756 feet per 70 minutes
Divide by 5,280 feet
Divide by 60 minutes
Step-by-step explanation:
1. Find how many feet Sam ran in one minute
63,756 ÷ 70 = 910.8 ft.
2. Find how many feet he ran in one hour
910.8 · 60 = 54,648 ft.
3. Convert the feet to miles
54,648 ÷ 5280 = 10.35
Step 2: There are 5280 feet in one mile. Therefore, you would divide by 5280 feet to convert feet per minute into miles per minute.
Step 3: There are 60 minutes in one hour. Therefore, you would divide by 60 minutes to convert miles per minute to miles per hour.
Answer:
1: 63,756 and 70 mins
2: 1 mile and 5,280 feet
3: 60 mins and 1 hour
4: 10.35
Simplify 18-2[x + (x - 5)].
O8-4x
28 - 4x
28 - 2x
Answer:
28-4x
Step-by-step explanation:
Step 1: Open most inner bracket and simplify
=18-2(x+x-5)
=18-2(2x-5)
Step 2: Expand brackets by multiplying 2 in and simplify
=18-2(2x)-2(-5)
=18-4x+10
=28-4x
Therefore the answer is 28-4x
James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? removing the last 10 trials from the experimental data completing the experiment many more times and combining the results to the trials already done including a fifth possible outcome performing the experiment again, stopping immediately after each event occurs once
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Step-by-step explanation:
The table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day. What is P(took a vitamin | got the flu)? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
1/4
Step-by-step explanation:
25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4
The P(took a vitamin | got the flu) will be 1/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.
We need to find the P(took a vitamin | got the flu).
Now, 25 people took a vitamin and still got the flu.
The total number is 100.
So, the fraction is 25/100 which can be reduce to 1/4.
P(took a vitamin | got the flu) = 25/100
P(took a vitamin | got the flu) = 1/4
Therefore, the P(took a vitamin | got the flu) will be 1/4.
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x^{2m+n} * x^{n-m} / x^{m+2n}
Answer:
=x
Step-by-step explanation:
Answer:
[tex]\boxed{1}[/tex]
Step-by-step explanation:
[tex]x^{2m+n} * x^{n-m} / x^{m+2n}[/tex]
When bases are same for exponents in division, subtract exponents.
[tex]x^{2m+n} * x^{n-m-(m+2n)}[/tex]
[tex]x^{2m+n} * x^{n-m-m-2n}[/tex]
[tex]x^{2m+n} * x^{-n-2m}[/tex]
When bases are same for exponents in multiplication, add exponents.
[tex]x^{2m+n+-n-2m}[/tex]
[tex]x^{2m+0-2m}[/tex]
[tex]x^0[/tex]
Any base with power or exponent of 0 is 1.
[tex]x^{0}=1[/tex]
An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207?
Answer:
The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112
Step-by-step explanation:
The given information of the naming of the apartments are;
The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112
Therefore;
The first digit number, 1, which is consistent, represent the floor number (first floor)
The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each
Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number
The previous building apartment will be numbered X05, X06, X07, X08
Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.
Answer:
Apartment 207 is in 7th floor of the building number 6 .
Step-by-step explanation:
Given:
There are 9 floors in the building
The number of building and floor of apartment 207 .
Each floor in the building has four apartments
The number of apartment in a building = 4 * 9 = 36
Numbers on each floors are 01 to 36 after floor number
first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.
From the numbers, 1 is representing the floor number
9 , 10 , 11 & 12 are representing four apartments number
Recall,
Each floor has 4 apartments
207 = 36 * 5 + 4 * 6 + 3
36 * 5 = 5 buildings
4 * 6 = 6 floor of 6th building
180+24=204
205 - 208 =6th building 7th floor
Apartment 207 is in 7th floor of the building number 6 .
Who’s salary represents the median of the data in the table?
Answer:
Rajesh salary is the median
Step-by-step explanation:
Am not good in explanation
Answer:
1: Ram
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
if we put these salaries in order we can find out what the median salary is.
32,701 , 45,600 , 52,000 , 67,250 , 71860.
The number in the centre or the middle is 52,000. That is Ram's salary.
The answer is 1. Ram
I hope you find this useful, rate me the brainliest if you did ;)
What is the perimeter of the figure shown?
Answer:
[tex]\boxed{16 units}[/tex]
Step-by-step explanation:
Hey there!
Well since all the sides are congruent and there are 8 sides we can make the following expression,
P = 2*8
P = 16
Hope this helps :)
Answer:
16
Step-by-step explanation:
The sides of this figure are equal to each other .
the permiter is the sum of the sides
The figure has 8 sides.
● P = 8 × 2
● P = 16
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
Answer:
y = 2x + 1
Step-by-step explanation:
first find slops
(9-5)/(6-4) = 4/2 = 2 = m
y = mx + b
5 = 2(2) + b
1 = b
y = 2x + 1
Answer:
y = 2x - 3
Step-by-step explanation:
gradient of the line is
[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]
equation will be:
[tex] \frac{y - 5}{ x - 4} = 2[/tex]
y - 5 = 2x - 8
y = 2x - 3
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly
Answer:
[tex]\huge\boxed{x = -5.8}[/tex]
Step-by-step explanation:
2x + 17.6 = 6
Subtracting both sides by 17.6
2x = 6 - 17.6
2x = -11.6
Dividing both sides by 2
x = -11.6 / 2
x = -5.8
4x
5.
If 7:5 = (x + 2y): (x - y), find the value of
5y
Answer:
5/2 OR 2.5
Step-by-step explanation:
( x + 2y ) = 7 , ( x - 2y ) = 5
x = 7 - 2y , x = 5 + 2y
substitute the two eqns together:
7 - 2y = 5 + 2y
7 - 5 = 2y + 2y
2 = 4y
y = 1/2
when y = 1/2 ,
5y = 5(1/2)
= 5/2 OR 2.5
What are all the numbers of Pi? I need this now please
Thank you!! ♥︎
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
Step-by-step explanation:
Figure A is a scale image of Figure B. What is the value of x?
please answer asap!
Answer:
[tex]\huge \boxed{x=30}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ use \ ratios \ to \ solve.[/tex]
[tex]\displaystyle \frac{45}{27} =\frac{x}{18}[/tex]
[tex]\sf Multiply \ both \ sides \ by \ 18.[/tex]
[tex]\displaystyle \frac{45}{27}(18) =\frac{x}{18}(18)[/tex]
[tex]\sf Simplify \ the \ equation.[/tex]
[tex]\displaystyle \frac{810}{27} =x[/tex]
[tex]30=x[/tex]
1.Solve by factorization method: x+1/x=11 1/11 2.Comment on the nature of roots for 4x^2-5=2(〖x+1)〗^2-7 plz, help...
Answer:
The equation
[tex]4\,x^2-5=2\,(x+1)^2-7[/tex]
can be solved by first expanding all indicated operations, and later when the constant terms disappear, by factoring out 2x , leaving the equation as a product of two factors equal zero, from which it is easy to extract the roots. See below.
Step-by-step explanation:
When solving for x in the following expression, and using factoring to apply at the end the zero product theorem:
[tex]4\,x^2-5=2\,(x+1)^2-7\\4\,x^2-5=2\,(x^2+2x+1)-7\\4\,x^2-5=2\,x^2+4\,x+2-7\\4\,x^2-5=2\.x^2+4\,x-5\\4\,x^2=2\,x^2+4\,x\\4\,x^2-2\,x^2-4\,x=0\\2\,x^2-4\,x=0\\2\,x\,(x-2)=0[/tex]
We observe that for the last product, to get a zero, x has to be zero (making the first factor zero), or x has to be "2" making the binomial factor zero.
Which system of linear inequalities is represented by
the graph?
Oy> x-2 and y < x + 1
O y< x-2 and y > x + 1
Oy x + 1
O y > x-2 and y < x + 1
Answer:
The correct option is;
y < x - 2, and y > x + 1
Step-by-step explanation:
The given graph of inequalities is made up of parallel lines. Therefore, the slope of the inequalities are equal
By examination of the graph, the common slope = (Increase in y-value)/(Corresponding increase in x-value) = (0 - 1)/(-1 - 0) = 1
Therefore, the slope = 1
We note that the there are three different colored regions, therefore, the different colored regions opposite to each inequalities should be the areas of interest
The y-intercept for the upper bounding linear inequality, (y >) is 1
The y-intercept for the lower bounding linear inequality, (y <) is -2
The two inequalities are y > x + 1 and y < x - 2
The correct option is y < x - 2, and y > x + 1.
The system of linear inequalities is represented by the graph is y> x-2 and y < x + 1
Inequalities is an expression that shows the non equal comparison of two or more variables and numbers.
Given that:
y and x are variables, plotting the inequalities using geogebra online graphing tool.The system of linear inequalities is represented by the graph is y> x-2 and y < x + 1
Find out more on linear inequalities at: https://brainly.com/question/21103162
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
1/6
Step-by-step explanation:
People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.
There are a total of 36 people.
People who answered their calls before the second ring were only 6/36.
When we simplify the fraction, we get 1/6.
So, the answer is 1/6.
Pattern A starts at 20 and has the rule 'subtract 2 Pattern B starts at 20 and has
the rule 'subtract I". Which shows the first several terms of Patterns A and B?
Pattern A: 20, 17, 15, 13, 11,
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 21, 22, 23, 24, 25
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Pattern A: 20, 22, 24, 26, 28, 30
Pattern B: 20, 21, 22, 23, 24, 25
Answer:
The correct option is C.
Step-by-step explanation:
The two patterns are defined as follows:
Pattern A starts at 20 and has the rule 'subtract 2'.Pattern B starts at 20 and has the rule 'subtract 1'.Form the two patterns as follows:
Pattern A : 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0
Pattern B : 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
The first several terms of Patterns A and B are shown by:
Pattern A: 20, 18, 16, 14, 12, 10
Pattern B: 20, 19, 18, 17, 16, 15
Thus, the correct option is C.
F(x)=0.5x^2-2 and g(x)=8x^3+2
Answer:
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
Step-by-step explanation:
To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.
f(x) = 0.5x² - 2
g(x) = 8x³ + 2
(f*g)(x) = (0.5x² - 2)(8x³ + 2)
(f*g)(x) = 4x⁵ + x² - 16x³ - 4
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?
5 buses is the answer pls mark me brainliest
Least number of bus require for trip = 5 buses
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Total number of classes = 9
Number of student in each class = 25
Number of teacher = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
Now,
Total number of student = 9 × 25
= 225
Number of chaperones = 4 × 2
= 8
Total people = 225 + 8 + 4
= 237
Least number of bus require for trip = Total people / Bus hold
= 237 / 45
= 5.266
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How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?
Answer:
12
Step-by-step explanation:
There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of
points and since two equilateral triangles can be drawn having
that pair of points as vertices, there are 12 equilateral
triangles that can be drawn having two vertices in the set
{(0,0), (0,1), (1,0), (1,1)}.
The number of the equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.
What is an equilateral triangle?An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
There are 4 points, so there are C(4,2) = 4C2 = 6 pairs of points and since two equilateral triangles can be drawn having that pair of points as vertices, there are 12 equilateral triangles that can be drawn having two vertices in the set {(0,0), (0,1), (1,0), (1,1)}.
Therefore, the number of the equilateral triangles in the plane that have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)} will be 12.
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Y = 0.2(0.35)^t decay rate
Answer:
Step-by-step explanation:
At 1 year old it is: e1 = 2.7 mm high ... really tiny!
At 5 years it is: e5 = 148 mm high ... as high as a cup
At 10 years: e10 = 22 m high ... as tall as a building
At 15 years: e15 = 3.3 km high ... 10 times the height of the Eiffel Tower
At 20 years: e20 = 485 km high ... up into space!
A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole
Answer:
4 ft/sec
Step-by-step explanation:
Hope it helps
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)?
Answer:
Hey There!! The Correct answer C: ) is the average number of days a house stays on the market before being sold for price p in $1,000s
A little more clearer explanation:
p is the price in $1000s, and
f(p) is the number of days before its sold for p
Hence, f(250) would be the number of days before its sold for 250,000 (since p is in $1000s)
Answer choice C is the correct one.
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer: C
Step-by-step explanation: This is the average number of days the house stayed on the market before being sold for $250,000
A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?
A). Data point A
B). Data point B
C). Data point C
D). Data point D
Answer:
Data Point B and Data point E
Step-by-step explanation:
Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.
Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.
I answered all my work correctly but I don’t understand this one.
f(x)=3-2x whats f(0) =?
Answer:
The answer would be F(x)= 3
Step-by-step explanation:
you just substitute the 0 for all the x's in this case the x next to the 2.
f(x)= 3-2(0)
Then you multiply the 2 to the 0 which will give you 0.
f(x)= 3-0
And lastly you would subtract the 3 from the 0 and your answer will be
F(x)=3
Hope this helped!!!
Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together
Answer:
The number of seedlings the three boys planted together is 560 seedlings
Step-by-step explanation:
The possible information in the question are;
Percentage of the seedlings planted by Ali = 40%
Percentage of the seedling planted by Ben = 45%
The percentage of the seedling planted by Cliff = The rest of the seedling
The number of seedling planted by Cliff = 84 siblings
Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Given that Cliff planted 15% of the seedlings, we have;
15% of seedlings Cliff planted = 84
Let X = the total number of seedlings
15/100 × X = 0.15×X = 84
X = 84/0.15 = 560
The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!