Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
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What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27
Answer:
4
Step-by-step explanation:
Hope this helps!
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children
under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children
plzz help
Answer:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.
Step-by-step explanation:
Hope this helps
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
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PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
Tom bought 3 boxes of books at a yard sale. If each box had 2 books how many books did he Buy ?
i will be giving brainliest.
Answer:
6
Step-by-step explanation:
2 books in each box.
There are three boxes
2 times 3 equals 6
What is the weight of a 10 kg dog
100 kg
5
O
1N
90N
O
100N
somebody please help
Answer:
729
Step-by-step explanation:
hope it helps
Answer: 27/2 = 13 1 2\
also 729
What is the range of the function graphed below ?
Answer:
C
Step-by-step explanation:
I counted by recording all the numbers nd steps
Answer:
C
Step-by-step explanation:
Solve for z.
11z + 2z = -13
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
Answer:
z=-1
Step-by-step explanation:
Combine like terms: 11+2 ( 13z )
Divide: -13/13 ( -1 )
Which angles are vertical angles?
Answer:
T and Q
Step-by-step explanation:
It is right
Answer:
<STQ and <UTV
Step-by-step explanation:
Solve the following equation
5x + 2 = 4x - 1
Answer:
x=-3
Step-by-step explanation:
Solve for x:
5x+2=4x−1
Move all terms containing x to the left side of the equation.
x+2=−1
Move all terms not containing x to the right side of the equation.
x=−3
"Write the equation of the line that is perpendicular to the line x - 4y = 20 and passes through the point (2, -5)." Thank you in advance!
Answer:
y= -4x +3
Step-by-step explanation:
① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.
x -4y= 20
4y= x -20
y= ¼x -5 (÷4 on both sides)
∴ Gradient of line= ¼
② Find the gradient of the new line.
The product of the gradients of perpendicular lines is -1.
¼(gradient of line)= -1
gradient of line
= -1 ÷¼
= -1 ×4
= -4
③ Substitute the value of the gradient into the equation.
y= -4x +c
④ Find the value of c by substituting a pair of coordinates.
When x= 2, y= -5,
-5= -4(2) +c
-5= -8 +c
c= -5 +8 (+8 on both sides)
c= 3
Thus, the equation of the line is y= -4x +3.
What is the remainder when 4x3+8x−32 is divided by x+10?
The graph of a non-invertible function passes through the points (- 1, 2), (0, 6) and (3, - 4) How is the inverse of this function graphed ? Drag a phrase or group of coordinates into each box to correctly complete the statement.
Answer:
The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).
Explanation:
I just took the test.
As per the graph, the non-invertible functions pass through the point of (-1, 2)), (0,6), and (3, - 4).
The inverse of the function on the graph will be depicted by the Y = X. The graph of the inverse passes through the vertical line test for the inverse function. While the graph of the inverse function will pass through the (2,-1), (6,0), (-4, 3)Learn more about the graph of a non-invertible function that passes through the point.
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The image of the point (9,0) under a translation is (7,4). Find the coordinates of
the image of the point (0,8) under the same translation.
Answer:
(-2, 12)
Step-by-step explanation:
The directrix of a parabola is y = 4. Its focus is (2,6).
What is the standard form of the parabola?
Answer:
Step-by-step explanation:
The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
What is a parabola ?
A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.
We know that , the standard form or general equation of a parabola is given by :
y = a ( x - h )² + k
where : vertex is (h, k) and focus ( h , k + p)
We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]
It is given that focus is (2 , 6).
From focus :
h = 2 and k + p = 6
whereas from directrix :
k - p = 4
Adding both
k + p = 4
k - p = 6
We get :
2k = 10
or
k = 5
So ,
p = 1
And vertex will be :
(h , k) = (2 , 5).
The vertical distance from vertex to directrix p = 1 :
y = a ( x - 2 )² + 5
here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4
So , the standard form of given parabola will be :
y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5
Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
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Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.
if you had two = five what would five + seven be
Answer:
14
Step-by-step explanation:
2 plus 5 plus 7
Which of the following phrases translates to the expression yn
seven more than a number
the product of a number and seven
a number decreased by seven
a number divided by seven
Answer Hope this helps ^_^ Diamond is the name
Seven more than a number
Step-by-step explanation:
More than means + that number after the term. Because +7 comes after y, +7 is more than.
A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?
get 10,000 point//// Let be the world population as of March 23, 2013. Approximately, = 7,073,981,143.
Answer:
io
Step-by-step explanation:
Solve: -2+x=4 Please please answer quickly
Answer:
x = 6
Step-by-step explanation:
-2 + x = 4
x = 4 + 2
x = 6
Thank you :-)
PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U
In parallelogram WXYZ, the shorter sides are half the length of the longer sides.
Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.
Which statements are true? CHECK ALL THAT APPLY.
A. Quadrilateral WXYZ is a rectangle.
B. The quadrilateral has opposite sides that are parallel.
C. The quadrilateral has opposite angles that are congruent.
D. If W X = 12 in., then X Y = 6 in.
E. Side WZ must be 12 inches.
F. mAngle Z = measure of angle X
G. Measure of angle W = 120 degrees
H. Measure of angle Z = 120 degrees
Answer:
B
E
H
I think this is right
For the given parallelogram following statements are true
B. The quadrilateral has opposite sides that are parallel
F. Measure of angle Z = Measure of angle X
G. Measure of angle of W =120 degrees
What is parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides
Given,
Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W
Draw the figure using the the data
Using the figure we can say that
The quadrilateral has opposite sides that are parallel
Measure of angle Z = Measure of angle X
Measure of angle of W =120 degrees
Hence, the correct options are B,F and G
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What is the solution to the equation above
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
What is the value of x?
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
Solve for y in terms of x: 3x = 15-5y
Helppp
Answer:
Step-by-step explanation:
3x =15-5y
Add 5y and subtract 3x on both sides
5y=15-3x
y=(15-3x)/5
What is the slope of a line that passes through these points? (5, 3) and (4, 1).
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -3)/(4 -5) = -2/-1
m = 2
The slope of the line is 2.
Answer:
2
Step-by-step explanation:
ΔY = 1 – 3 = -2
ΔX = 4 – 5 = -1
two negatives make a positive
Can you also help me with this one?