Answer:
There are 15 friends
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:
a ⇒ b
c ⇒ x
Then: [tex]x=\frac{c*b}{a}[/tex]
where a, b and c are known values and x is the value to be calculated.
In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?
[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]
or, what is the same,
number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]
Solving:
number of people= 15
There are 15 friends
help me please! don’t right nonsense! i have 15 minutes left!
Answer:
let M(-3,-4) be (x1, Y1)
T(5,0) be (x2,y2)
m:n = 2 : 3
using section formula
Q(x,y) = {mx2 + nx1/(m+n), my2 + ny1/(m+n)}
{ ( 10 -9)/5, (0 -12)/5}
(1/5, -12/5)
This could be answer if internally
Two students calculated the area of a polygon in the coordinate plans using different strategies explain the two methods and which do you prefer and why
Answer:
There are following two methods.
1-By using pre programmed calculator
2-By using formoula
Step-by-step explanation:
1-The first method i suggest for the calculation of area is by using the pre programmed calculator.
Enter the vertex clockwise or anticlockwise into the calculator.
this method is very fast but there is a draw back of this method it is unable to calculate the area of self intersecting polygons. This method is most efficient for the simple polygons and we calculate area very fast.
2-To overcome the draw back of above given method i suggest the method calculate the area by using formoula
First number the vertex in clockwise or anticlckwise direction.
Than use the following formoula to calculate the area of polygon.
Area of polygon= [tex](x_{1}y_{2}-x_{2}y_{1})+(x_{2}y_{3}-x_{3}y_{2})+............+(x_{n}y_{1}-x_{1}y_{n})/2[/tex]
here, if area is negative we take mode of it
[tex]x_{n}[/tex] is the x coorinate of nth vertex.
[tex]y_{n}[/tex] is the Y coorinate of nth vertex.
This method is universal. By using this method we can calculate area of any type of the polygon.
you need to write an essay that has no more than 500 words. you have written 285 words so far. write and solve an inequality that represents the number of words (w) that you could still write.
Answer:
Step-by-step explanation:
w≤500-285
first term is 3, common difference is 4 what is the 5th term
Answer:
19
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 4 , thus
a₅ = 3 + (4 × 4) = 3 + 16 = 19
why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
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this is for you Keaira
Answer:
C
Step-by-step explanation:
2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
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Easy, 13 points: Name the intersection of plane X and plane Y
The intersection of the plane X and plane Y is line CQ.
What is plane?A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.
Here, we have two planes, X and Y.
There will always be a line at the intersection of two planes.
The planes should intersect in a straight line as long as they are not parallel.
Let CQ be the extended line of CB.
And here we have line CQ.
Which is the intersection of the planes.
Therefore, line CQ is the intersection of the planes X and Y.
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Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?
Steven's cards = x
Nathaniel's cards = 2x
Marcus' cards = 2x - 4
Kurt's cards = 2x - 5
Since the sum of the cards is equal to 47, let's set all the cards equal to 47
x + 2x + 2x - 4 + 2x - 5 = 47
Combine like terms.
7x - 9 = 47
Add 9 to both sides
7x = 56
Divide both sides by 7
x = 8
Let's plug 8 into x for Kurt's cards.
Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.
What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long
As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.
We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?
SOH
[tex]sin = \frac{opposite}{hypotenuse} [/tex]
CAH
[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]
TOA
[tex]tan = \frac{opposite}{adjacent} [/tex]
In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.
adjacent, a = 45.0
opposite, o = 32.0
So, to find the angle of elevation, refer to the second picture above.
what property does this equation use.
If LM = NP , then NP = LM
-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric
Answer:
reflexive
Step-by-step explanation:
memorize it as the equal sign is a mirror that reflects so its the same!
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?
Answer:
The equation is C = 65h
Round 9.492 to the nearest tenth.
Answer:
9.5
Step-by-step explanation:
The correct answer is 9.5 because 9.49 is closer to 9.5 than 9.4
Answer:
9.5
Step-by-step explanation:
9.492 to the nearest tenth
First you would round 0.092, which would just be 0.09 because 2 is less than 5. You would then have 9.49. You would then round the 0.49, and since 9 is greater than 5, it would be 9.5 because 9 would round to 10.
The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum
O A. True
O B. False
The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. Hence, Option A. True is the right choice.
What are absolute maxima and absolute minima?The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the lowest values respectively.
What are relative maxima and relative minima?The relative maximum is the point on the graph where the graph changes its direction from an increasing function to a decreasing function.
The relative minimum is the point on the graph where the graph changes its direction from a decreasing function to an increasing function.
How to solve the question?In the question, we are asked whether the given statement:
The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum,
is true or not.
In the given graph, we can observe that it was first a decreasing function, until a certain point, then it starts increasing until a certain point, then again decreased until a certain point, and after that went on increasing.
Hence it shows 3 points of inflections.
The first point is an absolute minimum point as the graph never goes below it.
The second point is a relative maximum as there is only a change in direction at that point, and there are points higher than that point.
The third point is an absolute minimum point as the graph never goes below it.
Therefore, we can say that the graph has:
Two absolute minimaOne relative maximumHence, the given statement is A. True.
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Answer:
false
Step-by-step explanation:
apie
Can someone create an addition integers word problem. I’ll mark you brainliest.
Answer:
A football team loses 5 yards on one play and then loses 8 yards on
the next play. How many yards did they lose on the two plays?
How do we represent a loss of 5 yards?
How do we represent a loss of 8 yards?
Step-by-step explanation:
Answer:
Step-by-step explanation:
When Steve woke up. His temperature was 102º F. Two hours later it
was 3º lower. What was his temperature then?
Give 3 expressions equivalent to the expression 24x+60
In expanded form, log(1,000a^3/b) is equivalent to...
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
what is the solution of 2 - 3i and 2 + 3i?
Answer:
Step-by-step explanation:
Multiplying
(2 + 3i)(2 - 3i)
4 - 6i + 6i - 9i^2
4 - 12i + 9
13 - 12i
Add/subtract
2 - 3i + 2 + 3i = 2
2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i
Determine the answer to 3 + (−5) and explain the steps using a number line and its not -2 because i tried and she said it was wrong my teacher.HELPPP!!!!!!!!!!!
Answer:
-2
Step-by-step explanation:
Here is a number line:
<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Start at 3, marked with an S below:
<-------+-----+-----+-----+-----+-----+-----+-----+-----+-----S----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Since you are adding a negative number, -5, count 5 numbers to the left starting on P which corresponds to 3.
5<---4<---3<----2<---1<---Start
<-------+-----+-----+-----+-----E-----+-----+-----+-----+-----S----+-----+-----+------>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
You end up at E which corresponds to -2.
Therefore, -5 added to 3 is -2.
I don't know how your teacher can say that 3 + (-5) is not -2 since -2 is the correct answer. Perhaps you should check on the question to make sure it really is 3 + (-5) and not something else.
I was reading a book last night that said about 2/3 of Americans attend college, and about 40 percent of those actually graduate. So, about what percent of Americans actually earn college degrees?
Answer:
26.67% Of Americans earn college degrees.
Step-by-step explanation:
[tex]\frac{2}{3} *40 = 26.67[/tex]
Solve the equation.
t + 25 = 26
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
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1. Write 0.00000248 in scientific notation.
Answer:
2.48 × 10 -6
Step-by-step explanation:
i don't know how to put it, but the negative next to the 6 is small, and high up, and so is the 6
The domain of the function y=3x+1 is 1, 2, 3, 4. What is the range?
Answer:
4, 7, 10, 13
Step-by-step explanation:
Step 1:
3 ( 1 ) + 1 = 4
Step 2:
3 ( 2 ) + 1 = 7
Step 3:
3 ( 3 ) + 1 = 10
Step 4:
3 ( 4 ) + 1 = 13
Answer:
4, 7, 10, 13
Hope This Helps :)
Evaluate the expression. Use y = 5 and z = 3
Yz² - 3
Yz²-3
y = 5
Z = 3
5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)
so we'll solve the multiplication first, followed by substraction so 5×9 = 45
45 -3= 42
If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to segment MB.
AB is the large segment.
AM is half of the large segment.
MB is the second half of the large segment.
AM = MB is true.
Segment AM is congruent to segment MB is true.
AB = MB is false.
The statements that are true.
-Segment AM is congruent to segment MB.
- AM = MB.
What is a midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
If M is the midpoint of segment AB, then the following statements are true.
- AB = 2MB
Since M is the midpoint of AB, MB is half the length of AB.
Therefore,
AB is twice as long as MB.
- AM = MB
Since M is the midpoint of AB, AM, and MB are equal in length.
This is a property of the midpoint of a segment.
Now,
Segment AM is congruent to segment MB.
Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.
Therefore,
Segment AM is congruent to segment MB with AM = MB statement being true.
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24 - x = 32 , what is it he answer to this please !
Answer:
- 8
Step-by-step explanation:
Step 1:
24 - x = 32
Step 2:
- x = 32 - 24
Step 3:
- x = 8
Answer:
x = - 8
Hope This Helps :)
A rectangular lawn is 40 feet by 50 feet. How wide a uniform strip has been mowed around
the edge if 3/10 of the lawn has not yet been mowed?
Answer:
The width of the strip is 28 ftStep-by-step explanation:
First lest us calculate the area of the rectangle
given that
length= 50ft
width= 40 ft
Area = length *width
Area= 50*40
Areaa= 2000 ft^2
given that 3/10 of the lawn is yet to be mowed
(3/10)*2000
0.3*2000= 600ft^2
Therefore the area that has been mowed is 2000-600= 1400 ft^2
1400 ft^2
since the direction of the mower is along the lenght of the lawn
area= lenght*width
1400= 50*width
width= 1400/50
width= 28 ft
Please Help :)
What is the distance between the points in the image below?
Answer:
5?
Step-by-step explanation:
You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5