The number of miles you run is Independent and the calories you burn is Dependent
Answer:
C is the dependent variable
m is the independent variable
Step-by-step explanation:
For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn
C= 100m
Number of calories burn depends on the number of miles you run
So calories C depends on the miles 'm'
C is the dependent variable because it depends on the value of 'm'
m is the independent variable
Property of equality states that if LM = 7, and ER + LM = NP, then ___ = NP
a. LM + 7
b. ER + LM
c. ER + 7
d. 7
Answer:
NP
Step-by-step explanation:
Your gross weekly salary is $800.00. Your federal income tax deduction is $53. The Social Security tax is 6.2%. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week you have $28.40 deducted for medical insurance and $12.00 for a health savings account. What is your net pay?
The net weekly pay is $633.4
How to determine the net pay?The gross pay is given as:
Gross = $800.00
The deductions are:
Federal income tax deduction = $53.Social Security tax = 6.2%. Medicare tax = 1.45%State tax = 1.5%Medical insurance = $28.40Health savings account = $12.00The net pay is then calculated as:
Net pay = 800.00 - (53 + 6.2% * 800 + 1.45% * 800 + 1.5% * 800 + 28.40 + 12.00)
Evaluate
Net pay = 633.4
Hence, the net weekly pay is $633.4
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The coordinates of the points M, N, P, and Q are -11, 32, -15, and 17, respectively. Which point is closest to the origin? M N P Q
Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cyliner is 54pi inches cubed. Cylinder B also had a radius of 3 inches, but the height is doubled. What is the relationship between the volumes of the two cylinders?
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose there are 600,000 shares of common stock, how much is the dividend per share?
The dividend per share is 16.67 and this can be determined by using the formula of the dividend per share.
Given :
A land developer declared a dividend of Php 10,000,000.00 for its common stock.Suppose there are 600,000 shares of common stock.The formula of Dividend per share can be used to determine the value of dividend per share. The formula of dividend per share is given by:
[tex]\rm Dividend \; per \; share = \dfrac{Dividend }{Total\; number \;of \;shares}[/tex]
Now, substitute the value of the known terms in the above formula:
[tex]\rm Dividend \; per \; share = \dfrac{10000000 }{600000}[/tex]
[tex]\rm Dividend \; per \; share = \dfrac{100 }{6}=16.67[/tex]
So, the dividend per share is 16.67.
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A line contains the points (82, −96) and (87, −86) .
What is the slope of the line in simplified form?
Enter your answer in the box.
−32+(−2)=
whats the answer
How do you write -6.16666666... as a fraction?
In a work-out facility, there are two racks with 40 towels per rack. on tuesday, there were 30 towels in use, on wednesday 50, and on thursday 25. what fraction, on average, is in use for the 3 days?
Three collinear point
Solve for B.
R = x(A+B)
When you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?
When comparing two sets of data, choose the median for skewed data and mean with standard deviation for symmetric data.
When comparing two sets of data where one is strongly skewed and the other is symmetric, for the comparison, it is advisable to choose the median as the measure of the center for the skewed data since it is resistant to outliers, and the mean and standard deviation for the symmetric data to give an overall representation of the data.
d=11/5(p-15) solve for p
Rotating a polygon in Quadrant II 270° clockwise is the same as
A) rotating it 90° clockwise.
B) rotating it 180° clockwise.
C) rotating it 90° counterclockwise.
D) rotating it 270° counterclockwise.
Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
What are two lines in the same plane that do not intersect?
A) angle
Eliminate
B) line segment
C) parallel lines
D) perpendicular lines
What is the measure of ∠F?
What is the measure of ∠R?
What is the measure of ∠C?
Answer: The measure of ∠F=55°
The measure of ∠R=36°
The measure of ∠C=43°
Step-by-step explanation:
The angle sum property of triangle say that the sum of all the interior angles of a triangle is 180 degrees.Therefore By using angle sum property in Δ RST
∠R+∠S+∠T=180°
⇒∠R+76°+68°=180°
⇒∠R=180°-144°
⇒∠R=36°
In Δ CDE, where ∠C is a right angle.
∠C+∠D+∠E=180°
⇒∠C+90°+47°=180°
⇒∠C=180°-137°
⇒∠C=43°
In ΔDEF
∠D+∠E+∠F=180°
⇒104°+21°+∠F=180°
⇒∠F=180°-125°
⇒∠F=55°
Use the listing method to write the following set.
{x | x ∈ N, x < 3}
(A.) {1, 2, 3}
(B.) {0, 1, 2, 3}
(C.) {1, 2}
∠A and ∠B are vertical angles with m∠A = x and m∠B = 4x - 30. What is m∠A?
The measure of angle m∠A such that ∠A and ∠B are vertical angles is 10.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Vertical angles are opposite angles become by the intersection of two straight lines and having the same measure.
Given that ∠A and ∠B are vertical angles
∠A = ∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
Hence "The measure of angle m∠A such that ∠A and ∠B are vertical angles is 10".
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If a person lives to be exactly 100 years old, how many leap years will that person see
What is the value of x? 3 /4 x+5− 1 /2 x=3
please help me with this!!!!!!!!!!
x/(2/9) = 6
x *(9/2) = 6
9x/2=6
9x = 6*2
9x=12
x = 12/9 = 4/3
X = 4/3
find the inverse of f(x)=-3x+3
1) what is the answer to 5(3x-2y)+2(x+2y)-3(3x-2y)?
a= 8x-12y
b= 8x
c= 8x-8y
d= 8xy
2) what is the answer to 2x-3+3x-5?
a= -x-8
b= 5x-8
c=-x+2
d= 5x+2
Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.
y =
x +
The slope intercept equation which models the data in the table given ls y = 3x + 1
General form of a slope - intercept equation :
y = bx + c ; b = slope ; c = interceptSlope can be calculated thus:
Slope = (y2 - y1) /(x2 - x1)
Slope = (-2 + 8) / (-1 + 3)
Slope = 6/2 = 3
Taking any pair of points, we can calculate the intercept, c :
y = 3x + c
10 = 3(3) + c
10 = 9 + c
c = 10 - 9
c = 1
Therefore, the slope - intercept equation is y = 3x + 1
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a baker starts with 4/10 kilogram. of flour to make bread he adds 3/100 kilogram of flour to his bread mixture how much total flour is used to make the bread
Answer:
Total amount of the flour used is [tex]\frac{43}{100}[/tex] kg.
Step-by-step explanation:
Baker starts with [tex]\frac{4}{10}[/tex] kilograms of flour to make bread.
He further adds flour to his bread mixture = [tex]\frac{3}{100}[/tex] kg
Now we have to calculate the amount of flour he used to make the bread.
Total flour = [tex]\frac{4}{10}+\frac{3}{100}[/tex]
= [tex]\frac{40+3}{100}[/tex]
= [tex]\frac{43}{100}[/tex] kg
Therefore, total amount of the flour used is [tex]\frac{43}{100}[/tex] kg
Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
She leaves Rotherham at 7:30 am.
Does she arrive in London before 10:00 am?
Please show all of your working out.
Answer:
No, she will not arrive London before 10:00 am.
Step-by-step explanation:
It is given that:
Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
i.e. in one hour she drives 60 miles.
Hence she covers 1 mile in 1/60 hours.
Now she has to travel 156 miles.
i.e. it takes her:
156/60 hours=2.6 hours.
i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London.
(
since 0.6 hours=36 minutes.
As 1 hour= 60 minutes.
so, 0.6 hours=0.6×60=36 minutes ).
Hence, if she start from Rotherham at 7:30 am.
Then she will reach London at:
7:30+2.6=10:06 am.
Hence, she will reach London after 10 am.
Janelle is five years younger than Louisa. In three years, Janelle will be half Louisa’s age. If j represents Janelle’s age now and l represents Louisa’s age now, which matrices represent the situation?
Answer: C
Step-by-step explanation: Got it right
Final answer:
The matrix form representing the given situation with Janelle and Louisa's ages is a system of linear equations derived from the word problem, and can be represented as: [1 -1 | -5] and [0.5 -0.5 | -1.5].
Explanation:
The question involves setting up equations based on the given word problem and representing them in matrix form. The situation describes a relationship between the ages of Janelle and Louisa, with Janelle being five years younger than Louisa. In three years, Janelle will be half of Louisa's age. This can be represented with two equations:
j = l - 5
j + 3 = 0.5 * (l + 3)
These equations can then be represented in matrix form. Matrices are used in mathematics to represent systems of linear equations, and the equations stages can be translated into a matrix where each row represents an equation:
Matrix for the system of equations:
[1 -1 | -5]
[0.5 -0.5 | -1.5]
The first row of the matrix represents the first equation, showing the coefficients of j and l, and the constant term on the right side of the equation. The second row represents the second equation with the respective coefficients and constant term.
Is it possible to draw a triangle with 150cm , 10cm and 10cm
Use the premises and conclusion to answer the questions.
Premises:
If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Conclusion:
If the sides of a triangle are the same length, then the measure of each angle is 60°.
Is the argument valid? Why or why not?
The argument is not valid because the premises are not true.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of syllogism.
The argument is valid by the law of detachment.
Answer: The argument is valid by the law of syllogism.
Step-by-step explanation:
Law of syllogism in geometric arguments is similar to transitive property which tells that that if x=y and y=z then x=z.
Given premises: If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Therefore by law of syllogism we can conclude that "If the sides of a triangle are the same length, then the measure of each angle is 60°."
At $1.25 per square foot, what is the cost of cleaning a rug with dimensions 9 feet 3 inches by 6 feet 9 inches?
A coupon subtracts $17.95 from the price P of a pair of headphones you pay $71.80 for the headphones after using the coupon write and solve an equation to find the original price of the headphones
Answer:
[tex]P-17.95=71.80[/tex]
Original cost: $89.75.
Step-by-step explanation:
Let P represent the original price of the headphones.
We have been given that a coupon subtracts $17.95 from the price P of a pair of headphones.
The cost of headphones after using the coupon would be [tex]P-17.95[/tex].
We are also told that you pay $71.80 for the headphones after using the coupon. We can represent this information in an equation as:
[tex]P-17.95=71.80[/tex]
Let us solve for P.
[tex]P-17.95+17.95=71.80+17.95[/tex]
[tex]P=89.75[/tex]
Therefore, the original cost of headphones is $89.75.