Answer:
he fell 11 meters
Step-by-step explanation:
132 divided by 12 is 11.
Solve. Show your work. Draw bar models to help you.
Brooke and Samuel had the same number of marbles. Brooke gave away
20 marbles and Samuel gave away 44 marbles. Brooke then had 3 times
as many marbles as Samuel. How many marbles did Brooke and Samuel each have at first?
Brooke and Samuel each had 56 marbles as represented by the bar model.
In mathematics, a bar model is a visual representation of a subject or problem where the known and unknown quantities are represented by bars or boxes.
To answer issues involving the four operations of addition, subtraction, multiplication, and division, bar models are most frequently utilized.Children can determine which operations to perform or how to visualize word problems by using bar models.The concrete pictorial abstract (CPA) learning approach's pictorial stage, which deals with math mastery, centers on the bar model. However, bar models just make it simpler for students to determine which calculation needs to be made in order to answer the problem. They do not perform the calculations for the student.Let us consider that each had x marbles. Now Brooke gave away 20 marbles and Samuel gave away 44 marbles :
∴ x - 20 = 3 (x - 44)
or, x -20 = 3x - 132
or, -2x = -112
or, x = 66
Brooke and Samuel each have 56 marbles as calculated from the bar models.
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a farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one additional vertical segment (to seperate the regions) are made up of fencing, as shown below. If the farmer has 246 feet of fencing, what are the dimensions of the region which enclose the maximal area?
The dimensions of the region which enclose the maximal area is 61.5 feet by 41 feet .
The area of a rectangle is the area occupied by the rectangle within its four sides or boundaries. The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of the length and width of a rectangle which is given by [tex]AREA=L \times w[/tex] ....(1)Let the length of the rectangular plot be "L" and width be "w"
It is given that farmer wants to do fencing of 246 feet which means all the boundary will be covered which is given by
[tex]L+L+w+w+w=246\\2L+3w=246\\2L=246-3w\\\\L=\frac{246}{2} -\frac{3w}{2} \\\\L=123-\frac{3w}{2}[/tex] ...(2)
Putting the value of "L" in equation (1) , we get
[tex]A=({123-\frac{3w}{2}}) \times w\\\\A=123w-\frac{3w^2}{2}[/tex] ....(3)
Now , we are asked to find the maximum area then , put
[tex]\frac{dA}{dw}=0[/tex]
[tex]123-\frac{6w}{2} =0\\123-3w=0\\123=3w\\w=41[/tex]
Putting w = 41 in equation (3) , we will get the maximum area
[tex]A=123(41)-\frac{3(41)^2}{2} \\\\A=5043-2521.5\\\\A=2521.5[/tex]
Putting w = 41 in equation (2) , we will get the length
[tex]L=123-\frac{3(41)}{2} \\L=123-61.5\\L=61.5feet[/tex]
Hence , the dimensions will be 61.5 feet by 41 feet .
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Please help me out boys
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{(~~ 2- (-4)~~)^2 + (~~ 3- 0~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 6 )^2 + ( 3)^2}\implies \boxed{AB=\sqrt{45}}[/tex]
[tex]B(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill BC=\sqrt{(~~ 6- 2~~)^2 + (~~ 0- 3 ~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad D(\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) ~\hfill CD=\sqrt{(~~ 0- 6~~)^2 + (~~ -3- 0~~)^2} \\\\\\ ~\hfill CD=\sqrt{( -6)^2 + ( -3)^2}\implies \boxed{CD=\sqrt{45}}[/tex]
[tex]D(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{-4}~,~\stackrel{y_2}{0}) ~\hfill DA=\sqrt{(~~ -4- 0~~)^2 + (~~ 0- (-3)~~)^2} \\\\\\ ~\hfill DA=\sqrt{( -4)^2 + ( 3)^2}\implies \boxed{DA=5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{\sqrt{45}~~ + ~~5~~ + ~~\sqrt{45}~~ + ~~5 ~~ \approx ~~ \text{\LARGE 23.42}}[/tex]
The length of a hemoglobin molecule is 6.8 * 10-6 millimeter. Which of the following is equivalent to this length?
0.00000068mm
0.0000068mm
0.0000680mm
0.000068mm
Answer:
Step-by-step explanation:
15 POINTS HELP I WILL GIVE BRAINLIEST!!!!Which linear functions represent a slope of 4? Check all that apply. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries negative 11, 1, 13, 25. On a coordinate plane, a line goes through points (0, 3) and (5, 4). A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 1, 3, 7. Column 2 is labeled y with entries negative 32, 24, 16, 8. On a coordinate plane, a line goes through points (2, 0) and (3, 4).
Answer:
The function which has a slope of 4 will be that function or line which is going through the points (2, 0) and (3, 4).
What is a linear function?
A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
In the given question is saying for the second case the line goes through points (2, 0) and (3, 4) so the slope will be
(4 - 0)/(3 - 2) = 4 hence, it will be the correct answer because it is the only line that has a slope of 4.
Answer:
On a coordinate plane, a line goes through points (2, 0) and (3, 4).
Step-by-step explanation:
Estimate the average rate of change from x=4 to x=5 .
According to the plot, it looks like [tex]y=3.5[/tex] when [tex]x=4[/tex], and [tex]y=7[/tex] when [tex]x=5[/tex]. Then the average rate of change from [tex]x=4[/tex] to [tex]x=5[/tex] is
[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{7 - 3.5}{5 - 4} = 3.5[/tex]
Everyday I earn 5$. I am saving up for a total of 400. How many Days will it take for me reach my goal. Of 400$?
Answer:
80 days
Step-by-step explanation:
Total wanted ($400) divided by how much per day ($5)= Total amount of days
$400/$5= 80 days
Answer:
80 days
Step-by-step explanation:
Total wanted ($400) divided by how much per day ($5)= Total amount of days
$400/$5= 80 days
What scales are equal to 3 cm to 15 m
The scale is equal to 1:500.
The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
if 1 cm on the map corresponds to 100 cm on actual ground then the scale of the map is given by the ration 1:100.
Scale of map is widely used in cartography and constructions.
The given condition states that 3 cm to 15 m.
We know that 1 cm =100 meters
Hence 15 meters = 15 × 100 cm =1500 cm
Therefore length on map = 1 cm
Length on ground = 1500 cm
Scale = distance on map : distance on ground
or, Scale = 3 : 1500
or, Scale = 1: 500.
Therefore the scale is 1: 500.
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Helpppp plsssss!!!!!!!!!!
Answer:
Step-by-step explanation:
a Whar grsde are u even in >:/
Ninety students auditioned for the school play. One-third of thise who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Write your answer as a decimal
The fraction of those who were cast got major roles is 1 / 5.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated.
Given that ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles.
The fraction will be calculated as below:-
Fraction of the students cast = 90 / 3 = 30
Fraction of the students selected for major roles = 6 / 30 = 1 / 5
Therefore, the fraction of those who were cast got major roles is 1 / 5.
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what expression is would show how much it would cost for 3 football tickets
Answer:
3x, where x = the price of a football ticket
what is the answer to this 1.93 x 9 ????????????????????
Answer:
17.37
Step-by-step explanation:
HELP ASP I NEED TO KNOW WHATS 1+1 IS OR I MIGHT GET A B AHHHHHHH WHATEVER IS RIGHT GETS10 POINTS!!!!!! HELPPPPPPPPPP
Answer:
2
Step-by-step explanation:
Which equation illustrates the associative property of addition
A. 5 + (6 + 2) = (6 + 2) + 5
B. 5 + (6 + 2) = (5 + 6) + 2
C. 5 + (6 + 2) = 5 + (2 + 6)
D. 5 + (6 + 2) = 5 + (6 + 2)
The required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equation that represents the associative property of addition?The expression is given as
-15 + 0
The associative property of addition states that
(x + y) + z = x + (y + z)
This means that
(x + y) + z = x + (y + z) is a representation of the associative property of addition
From the list of given options, we have
5 + (6 + 2) = (5 + 6) + 2
The above is a perfect illustration of (x + y) + z = x + (y + z)
So, 5 + (6 + 2) = (5 + 6) + 2 is a representation of the associative property of addition
Hence, the required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2
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Answer:
5 + (6 + 2) = (5 + 6) + 2
Step-by-step explanation:
A boat traveled 27 miles in 2 hours. At this rate, home many miles will the boat travel in \frac{1}{2}
2
1
hours?
Answer:6.75 miles per half hour
Step-by-step explanation:6..75 miles per half hour
What is the slope of the line?
Answer:
Slope = (4/5)
Step-by-step explanation:
Point 1: (-2, 0); Point 2: (3, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 0 4 4
m = ----------- = ------------ = ------------ = ------
x₂ - x₁ 3 - (-2) 3 + 2 5
y - y₁ = m(x - x₁)
y - 0 = (4/5) (x - (-2)
y - 0 = (4/5) (x + 2)
y - 0 = (4/5)x + (8/5)
y = (4/5)x + (8/5)
I hope this helps!
-1/2 + 1/3a = 1/8 find a please
2m/5=2 trial error solution please help
Answer:
(2m+5)
2
=
Use binomial theorem (a+b)
2
=a
2
+2ab+b
2
to expand (2m+5)
2
.
4m
2
+20m+25
Answer - 4m + 2 + 20m + 25
Step-by-step explanation:
help
Find the ratio created when BA is partitioned by C.
Write your answer as a ratio with a colon and no spaces. Example 10:3
The ratio of the point C on the line segment is 3 : 5
How to determine the ratio of the point C on the line segment?The line segment that completes the question is added as an attachment
On the attached line segment, we have the following points assuming that the point A is at A = 0
So, we have
A = 0
C = 3
B = 8
The above means that
AB : CB = C - A : B - C
So, we have
AB : CB = 3 - 0 : 8 - 3
Evaluate the difference
AB : CB = 3 : 5
Hence, the ratio of the point C on the line segment is 3 : 5
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Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite half-planes of segment AB. Prove that segment CD bisects segment AD. Segments CD bisects segment AB
The proof based on the triangle was done based on the fact that they are congruent triangles.
How to find the proofIn this question we have ΔABC ≅ ΔBAD
We have the following congruent sides in this triangle.
These are:
AB ≅ BA;
AC ≅ BD;
BC ≅ AD
These are corresponding angles too
∠ABC ≅ ∠BAD;
∠BCA ≅ ∠ADB;
∠CAB ≅ ∠DBA.
From the question we can see that the angles A and D can be said to be common. Hence we can say that
AE ≅ EB
Then CD would bisect AB
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Help me out please!!
Answer:
No
Step-by-step explanation:
substitute x = - 4 and y = - 17 into the left side and compare the result obtained to the right side.
2y - 3x
= 2(- 17) - 3(- 4) = - 34 + 12 = - 22 < 12
thus (- 4, - 17 ) is not a solution of the inequality
WHO EVER GETS THIS QUESTION RIGHT WILL GET 30 POINTS!
Scott was 63 ⅜ inches tall when he started seventh grade and 65 ¼ inches tall when he started eighth grade. How many inches did he grow during this time?
Please show work.
Answer: 1 inch 7/8
Step-by-step explanation: 65 1/4 inches is the same and 65 2/8 inches. its now just as simple as finding the difference.
<-----------take 8/8 or 1 away from the 65 and add it to the 2/8 65 2/8
- 63 3/8
----------------
64 10/8 <------now the equation looks like this
- 63 3/8 <----10-3 is 7 ---- 64 - 63 is 1
----------------
1 inch and 7/8
Complete the following descriptions with adjectives of nationality.In a normal distribution, x = 9 and z = −1.21. This tells you that x = 9 is _______ standard deviations to the left the mean
In a normal distribution, x = 9 and z = −1.21. This tells you that x = 9 is 1.21 standard deviations to the left the mean.
What is the z-score?The z-score is a mathematical measure that allows us to see how much above or below the mean a value in a distribution is in terms of standard deviation.
When the value is above or right of the mean, the z-score would be positive and when the z-score is left or below the mean, the z-score would be negative.
In this instance, x = 9 has a z-score of -1.21 which means that it is 1.21 standard deviations to the left of the mean.
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karen tiene 60100 soles ,compro 23 cocinas,28 televisores y 15 refrigeradoras.cuantos nuevos soles le quedan a un.
The amount that will be left based on the information will be 60100 - 23s - 28t - 14r.
How to calculate the value?Total number of soles = 60100
From the information, she bought 23 stoves, 28 television, and 14 refrigerators.
Therefore, the amount that will be left based on the information will be:
= 60100 - 23s - 28t - 14r
where s = stove
t = television
r = refrigerator
Therefore, the amount that will be left based on the information will be 60100 - 23s - 28t - 14r.
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Ganesh spends 60% of his income every month and saves Rs 11120 in a month. Find his monthly income and expenditure.
Monthly income and expenditure of Ganesh will be-16680
Let Ganesh's monthly income be x
The problem can be solved using linear equation
The amount of 60% of his salary is spent which can be written as 60% of x or 0.6x
The amount of money saved by Ganesh = total salary - amount spent
= x - 0.6x
= 0.4x
The amount of savings made by Ganesh as per the question = 11120
Lets equate both the equation
0.4x = 11120
x = (11120 × 100)/ 40
x = 27800
Hence, Ganesh's monthly salary comes out to be 27800
Ganesh's monthly expenditure = 0.6 x= 0.6 × 27800 =16680
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line
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If f(x) = 5 then what does f’ (x) equal?
Answer:
f'(x) = 0
Step-by-step explanation:
the derivative of a constant is zero , that is
f(x) = 5 ( a constant ) , then
f'(x) = 0
Solve 2x +2y=4
2x+4y=66
The solution of the system of equation are as follows:
x = -29y = 31How to solve system of equation?The system of equation can be solved as follows;
2x + 2y = 4
2x + 4y = 66
subtract equation(i) from equation(ii)
4y - 2y = 66 - 4
2y = 62
divide both sides by 2
y = 62 / 2
y = 31
Therefore, substitute the value of y in equation(i)
2x + 2(31) = 4
2x + 62 = 4
2x = 4 - 62
2x = -58
divide both sides by 2
x = -58 / 2
x = - 29
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.................................................................................................................................................
Answer:
.........................................................
Step-by-step explanation:
.................................................
if you help me you will have good luck karma exists
The volume of the given three-dimensional figures are:
64ft³72ft³30ft³80ft³What is a cuboid?A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.So, the volume of the cube: a³
(1) a³ = 4³ = 64ft³
The volume of the cuboid: whl
(2) whl = 4 × 6 × 3 = 72ft³
(3) whl = 2 × 3 × 5 = 30ft³
(4) whl = 2 × 5 × 8 = 80ft³
Therefore, the volume of the given three-dimensional figures are:
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I need help with this question please
20 people likes movies, such that 12 of these also like music, then the probability is just the quotient between:
Q = 12/20 = 0.6
The probability that a person likes music given that he/she lies movies is 0.6 or 60%
How to find the probability P(movies|music)?Notice that there are 5 + 7 common elements between movies and music, and a total of 20 people likes movies, such that 5 + 7 = 12 of these also like music, then the probability is just the quotient between the numbers of total people that likes movies which we know is 20, and the people that likes movies and also music.
So the quotient between 12 and 20, that will gave us the probability we want to find.
The probability that a person likes music given that he/she lies movies is 0.6 or 60%
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