Answer:
15
Step-by-step explanation:
Answer:
300/20 = 15
Step-by-step explanation:
There are a number of ways to solve this problem, but I will show you the easiest way.
3/20 x 100/1 =
First, do 3 x 100. This gives you 300.
Next, do 20 x 1. This gives you 20.
So now, your answer is 300/20.
300 divided by 20 is 15, so this simplified version of 300/20 is 15!
300/20 = 15 (simplified)
Alicia says that 6 ÷ 2 + 5 is the same as 5 + 6 ÷ 2. Is Alicia correct or incorrect? Explain.
Answer:
alicia is right
Step-by-step explanation:
if u divide 6 by 2 that would be 3 and then add 5 = 8. If you do the same with the next equation it still = 8 bc pemdas so divide first
Answer:
She is correct.
Step-by-step explanation:
6 ÷ 2 + 5=
6 ÷ 2=3
3+5=8
5 + 6 ÷ 2=
6 ÷ 2=3
3+5=8
67. If mn + p = m + 3n, what is the value of m when
n = 4 and p = 6? MP 2
A -2
B
2
C 3
D 3.6
O E 6
Answer:
2
Step-by-step explanation:
mn + p = m + 3n, n = 4 and p = 6
m(4)+6=m+3(4)
4m+6=m+12
4m=m+6
3m=6
m=2
Answer:
B) 2
Step-by-step explanation:
Step 1: Plug in the values of n and p.
\(m(4) + 6 = m + 3(4)\) \(4m + 6 = m + 12\)Step 2: Subtract m from both sides.
\(4m + 6 - m = m + 12 - m\) \(3m+6=12\)Step 3: Subtract 6 from both sides.
\(3m + 6 - 6 = 12 - 6\) \(3m = 6\)Step 4: Divide both sides by 3.
\(\frac{3m}{3} = \frac{6}{3}\) \(m = 2\)Step 5: Check if solution is correct.
\((2)(4)+(6)=(2)+3(4)\) \(8 + 6 = 2 + 12\) \(14 = 14\)Therefore, the answer is B) 2.
Can anyone help me on this
What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?
Answer:
11π/4 (radians) or 495° (degrees)
Step-by-step explanation:
Convert 165° to radians:
165 * π/180 = 165π/180 = 11π/12
s = r/Ф
arc length = 3(11π/12) = 33π/12 = 11π/4
Convert back to degrees if asked to:
11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)
pe Hvite
1. Estimate the circumference of the circle with the given radius or diameter. Use 3.14 for .
Round to the nearest unit.
24 in.
027 in.
079 in.
1,809 in.
0151 in.
D
(1 point)
The circumference of the circle with a radius of 24 in is 151 in.
What is an equation?An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.
The circumference (C) of a circle is given by:
C = 2π * radius
The circle shown has a radius of 24 in and π = 3.14. Hence:
C = 2π * radius = C = 2π * 24 = 151 in
The circumference of the circle is 151 in.
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How to solve and answer to the question
Answer:
x = 29
Step-by-step explanation:
147 + 147 + 2x - 25 + 2x - 25 = 360
294 + 2x - 25 + 2x - 25 = 360
294 + 2(29) - 25 + 2(29) - 25 = 360
294 + 58 - 25 + 58 - 25 = 360
352 - 25 + 33 = 360
327 + 33 = 360
360 = 360
x = 29
PLEASE ASAP!!Graph the line 4x+5y=20
Step-by-step explanation:
Might be a little easier to visualize if yo re-arrange it into y = mx + b form:
4x+ 5y = 20
5y = -4x + 20
y = - 4/5 x + 4 y-axis intercept at y = 4
x axis intercept is found by:
0 = -4/5 x + 4
- 4 = -4/5 x
x = 5
So===> plot the two intercept points ( 0,4) and ( 5,0) and connect the dots
The difference in the x coordinates of two points is 3, and the difference in the y coordinates of the two points is 6.
What is the slope of the line that passes through the points?
O 2
O 3
O 6
O 9
Answer:
2
Step-by-step explanation:
Slope =( difference in the y coordinates)/ (difference in the x coordinates)
= 6/3
= 2
Saw the system of equations using matrices. Use the Gaussian elimination method with back substitution
From the system of equation, we construct the matrix of coefficients:
\(\begin{bmatrix}{5} & {4} & {-4} & {|13} \\ {1} & {1} & {5} & {|2} \\ {1} & {-4} & {0} & {|17} \\ & & & \end{bmatrix}\)Now, we subtract the second row from the third row:
\(\begin{bmatrix}{5} & {4} & {-4} & {|13} \\ {1} & {1} & {5} & {|2} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)We exchange the first and the second row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {5} & {4} & {-4} & {|13} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)Subtracting 5 times the first row from the second row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {0} & {-1} & {-29} & {|3} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)Finally, we subtract 5 times the second row from the third row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {0} & {-1} & {-29} & {|3} \\ {0} & {0} & {140} & {|0} \\ & & & \end{bmatrix}\)Now, using back substitution:
\(\begin{gathered} 140z=0 \\ \Rightarrow z=0 \end{gathered}\)\(\begin{gathered} -y-29z=3 \\ -y=3 \\ \Rightarrow y=-3 \end{gathered}\)\(\begin{gathered} x+y+5z=2 \\ x-3=2 \\ \Rightarrow x=5 \end{gathered}\)The solution set is:
\(\lbrace(5,-3,0)\rbrace\)The population of pigs at a free range farm has a growth rate of 13%. If the farm originally has 155 pigs, how many will there be after 2 years?
FYI: MY CALCULATIONS IN THIS ANSWER ARE ACCORDING TO 13% GROWTH RATE OF PIGS!
Answer:
Step-by-step explanation:
1. Find 13% of 155.
13 percent *155 =
(13:100)*155 =
(13*155):100 =
2015:100 = 20.15
Now we have: 13 percent of 155 = 20.15
2. Multiply 20.15 by 2
20.15x2= 40.3
3. Add 40.3 into 155
40.3+155= 195.3
After 2 years, the total population of the pigs is 195.3 pigs.
Answer:
Step-by-step explanation:
Sorry for the very late answer but the other answer may not be right.
Assuming pigs have growth rate of 13% in 1 year
The farm originally with 155 pigs will have 155 * ( 1 + 13%)
= 155 * 1.13 = 175.15
= 175 pigs (as you cannot have 0.15 pig)
Repeat it for the the second year but with 175 pigs in the farm now,
175 * 1.13 = 197.75
Again as you cannot have 0.75 pig, there will be 197 pigs after 2 year.
Help i ran out of answers to sseeee PLZ COMMENT
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Answer:
Subtract 5x
Step-by-step explanation:
Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!
Answer:
this is what i used as my answer on the advice i would give tucker for what to do as his first step.
Step-by-step explanation:
i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.
Which did you include in your response?:Either first step will isolate the variable.
Twice a certain number is subtracted from 9 times the number. The result is 21. Find the number.
Answer:
3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
9x - 2x = 21
7x = 21
x = 3
So, the number is 3.
Find the value of x to
the nearest degree.
Answer:
Step-by-step explanation:
a
Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana. At the 0.05 significance level, test the claim that the sample of 100 subjects has a distribution that agrees with the distribution of state populations.
Answer:
Step-by-step explanation:
From the given information:
the null hypothesis and the alternative hypothesis can be computed as follows:
\(\mathbf{H_o:}\) The sample have a distribution that agrees with the distribution of state populations.
\(\mathbf{H_1:}\) The sample have a distribution that does not agrees with the distribution of state populations.
The Chi-Square test statistics \(\mathbf{X^2 = \dfrac{(Observed \ value - Expected \ value )}{(Expected \ value ) ^2 }}\)
Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana.
The observed and the expected value can be computed as follows:
States Observed Expected \(X^2 = \dfrac{(O- E)^2}{E}\)
Washington 450 0.51 × 1000 = 510
Oregon 340 0.30 × 1000 = 300
Idaho 150 0.11 × 1000 = 110
Montana 60 0.08 × 1000 = 80
Total 1000 1000
For washington :
\(X^2 = \dfrac{(O- E)^2}{E}\)
\(X^2 = \dfrac{(450 -510)^2}{510}\)
\(X^2 = \dfrac{3600}{510}\)
\(X^{2}=\) 7.06
For Oregon
\(X^2 = \dfrac{(O- E)^2}{E}\)
\(X^2 = \dfrac{(340- 300)^2}{300}\)
\(X^2 = \dfrac{1600}{300}\)
\(X^{2}=\) 5.33
For Idaho
\(X^2 = \dfrac{(O- E)^2}{E}\)
\(X^2 = \dfrac{(150- 110)^2}{110}\)
\(X^2 = \dfrac{1600}{110}\)
\(X^2 =14.55\)
For Montana
\(X^2 = \dfrac{(O- E)^2}{E}\)
\(X^2 = \dfrac{(60- 80)^2}{80}\)
\(X^2 = \dfrac{400}{80}\)
\(X^2 = 5\).00
The Chi-square test statistics for the observed and the expected value can be computed as follows:
States Observed Expected \(X^2 = \dfrac{(O- E)^2}{E}\)
Washington 450 0.51 × 1000 = 510 7.06
Oregon 340 0.30 × 1000 = 300 5.33
Idaho 150 0.11 × 1000 = 110 14.55
Montana 60 0.08 × 1000 = 80 5.00
Total 1000 1000 31.94
The Chi-square Statistics Test \(\mathbf{X^2 = 31.94}\)
Degree of freedom = n - 1
Degree of freedom = 4 - 1
Degree of freedom = 3
At 0.05 level of significance, the critical value of :
\(X^2_{(df, \alpha) }=X^2_{(3, 0.05)\) = 7.815
Decision Rule: To reject null hypothesis if the test statistics is greater than the critical value
Conclusion: We reject the null hypothesis since test statistics is greater than critical value, therefore, we conclude that there is sufficient information to say that the sample has a distribution that does not agrees with the distribution of state populations.
Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. How do I write an expression to show the total number of songs on Iris's playlist after w weeks
The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.
We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -
y = 120 + 4w
Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
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Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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what is the effect on the graph of f(x)=x^2 when it is transformed to h(x)=1/8x^2-13?
a.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
b. the graph of f(x) is vertically compressed by a factor of 8and shifted 13 units down
c. the graph of f(x) is horizontally compressed by a factor of 8 and shifted 13 units down
d. the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right
please help!
The transformation of a function may involve any change. The correct option is D.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + d Down by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)The given function f(x)=x² is transformed to h(x)=(1/8)x^2-13, therefore, the graph or f(x) is horizontally stretched by a factor of 8 and shifted 13 units to the right.
Hence, the correct option is D.
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Answer:
A.the graph of f(x) is vertically compressed by a factor of 8 and shifted 13 units to the right
A poll is given, showing 55% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 8 of them favor the new building project?
The probability that exactly 8 of them favor the new building project is; 0.0034
How to solve the probability of selection?The formula form binomial probability distribution is;
P(X = x) = ⁿCₓ * p^(x) * (1 - p)^(n - x)
where;
number of trials is n.
The number of successes is x
The probability of success is p.
We are given;
p = 0.55
n = 9
x = 8
Thus;
P(X = 8) = ⁹C₈ * (0.55)⁸ * (1 - 0.55)⁹⁻⁸
P(X = 8) = 9 * 0.0083734 * 0.45
= 0.0034
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HELP PLZZ ANWSER I KNOW
Answer:
2(w+10)=50
Step-by-step explanation:
rectangle two sides are equal and the other two sides are equal
so we know two sides are ten in this equation the w can be the unknown sides so 2*w and 2*10 = 50
2(15+10)=50
Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?
Answer:
initial velocity = 15 m/s
final velicity = 0 m/s
time required = 10sec
Formula is V = U + at
0 = 15 + a 10
-15 ÷ 10 = acc
acc = - 1.5 m/s^2
plz give branlist
The perimeter of the triangle shown is 225 feet, find the length of each side
X feet = How many Feet?
5x feet = how many feet?
(6x - 3) feet = for many feet?
Answer:
I have solved it and attached in the explanation.
Step-by-step explanation:
Write the solution to -9×+4<40??
Answer:
Simplifying
-9 + 4 = 40
Combine like terms: -9 + 4 = -5
-5 = 40
Solving
-5 = 40
Couldn't find a variable to solve for.
This equation is a the left and right sides are not equal, therefore there is no solution.
Hope This Helped
Given g(x)=c^2-x+3 which is g(a+1) in simplest form
Answer:
We know that:
\(g(x)=c^2-x+3\)
so:
\(g(a+1)=c^2-(a+1)+3=c^2-a-1+3=\boxed{c^2-a+2}\)
Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 2; B: the numbers add to 6; C: at least one of the numbers is 3; and D: the numbers do not add to 9. Express the given event in symbols. HINT [See Example 5.] The numbers do not add to 6.
B
D
D'
B'
B' ? D
How many elements does it contain?
The set B' ∩ D' represents the event "the numbers do not add to 6." It contains 20 elements.
The complement of event B is B' = {2, 3, 4, 5, 7, 8, 9, 10, 11, 12}. The complement of event D is D' = {2, 3, 4, 5, 6, 7, 8, 10, 11, 12}. Taking the intersection of their complements, we get B' ∩ D' = {2, 3, 4, 5, 7, 8, 10, 11}. This set represents the event "the numbers do not add to 6." It contains 8 elements out of the 36 possible outcomes of rolling two dice, so the probability of this event is 8/36 or 2/9.
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Select the correct statement based on the relation shown above.
A)
The relation is a function because every element of the domain has exactly one corresponding element of the range.
B)
The relation is a function because every element of the range has been used.
C)
The relation isn't a function because not every element of the range has a corresponding element of the domain.
D)
The relation isn't a function because an element of the domain corresponds to two different elements of the range.
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
One -tenth of books are picture books 2/10 are story books and half are science fiction and remainings are encyclopaedia what fraction are encyclopaedia
Answer:
1/5 of books are encyclopediaStep-by-step explanation:
Remaining fraction:
1 - (1/10 + 2/10 + 5/10) = 1 - 8/10 = 2/10 =1/51/5 of books are encyclopedia
Answer:
Let the total fraction of books be 1, then;
\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)
Therefore, 1/5th of the books are encyclopaedia.10) Lena recorded the number of late trains at a station in a day over a period.
She shows this information in a diagram.
Number of
days
5
4
3
2
1
*
*
1
*
*
*
*
*
*
23 4
*
*
*
5
Number of late trains in a day
6 7 8
*
9
(a) For this information work out the median number of late trains in a day
.
4
Key
means there were 2
days when 4 trains
were late each day
(2)
Median of the late trains in a day = 10
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.From the given diagram , we have
Number of trains late on day 1 = 1 + 2 + 3+ 4 + 5 + 6 + 7 + 8 +9 = 30
Number of trains late on day 2 = 1 + 2 + 3+ 4 + 5 = 15
Number of trains late on day 3 = 2 + 3 = 5
Number of trains late on day 4 = 2
Arranging the above data in accending order we get
2,5,15, 30
as number of observation is even
So, median = mean of two middle numbers
= 5 + 15/2 = 20/2 = 10
Therefore, median of the late trains in a day = 10
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.
We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding
m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.
m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.
m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).
m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.
m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
Based on the above analysis, the statements that are always true regarding the diagram are
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°
m∠2 + m∠3 + m∠5 = 180°
Therefore, the correct options are B, C, and E.
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The area of a triangle is 154 square inches. The base is 14 inches. What is the height in inches? Do not include units in your answer.
The height of the triangle is, 22 units.
WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that the area of a triangle is 154 square inches. The base is 14 inches.
Now, We get;
Base = 14 units
Height =h units
We know that;
Area of triangle = 1/2 x base x height
154 = 1/2 x 14 x h
h = 154 / 7
h = 22
Thus, The height is, 22 units.
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if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs
Answer:
12 people are need to walk 24 dogs
Step-by-step explanation:
12/2=6
24/2=12
Answer:
12 people can walk 24 dogs.
Step-by-step explanation:
Given information,
→ 6 people can walk 12 dogs.
→ People required for 24 dogs = ?
Let us assume that,
→ Missing value = p
Forming the equation,
→ 6/12 = p/24
Then the value of p will be,
→ 6/12 = p/24
→ p/24 = 6/12
→ p × 12 = 6 × 24
→ 12p = 144
→ p = 144/12
→ [ p = 12 ]
Hence, the value of p is 12.