Comparing the price of a 50000 mercedes to the price of a 40000 lexus The absolute price difference is 10000 while the relative price difference is 20%
How to find absolute price difference
Absolute difference refers to the gap between the prices. This implies the amount one has more than the other.
This could be solved by subtraction an is solves as follows:
price of a mercedes - price of a lexus
= 50 000 - 40 000
= 10 000
How to solve for relative price difference
Here, the price difference is expressed in percentage of the reference price being checked with. This is achieved using the formula below:
( price of a mercedes - price of a lexus ) / price of a mercedes * 100
= (( 50 000 - 40 000 ) / 50 000 ) * 100
= (( 10 000 ) / 50 000 ) * 100
= ( 0.2 ) * 100
= 20%
Hence the absolute price difference is 10 000 and the relative price difference is 20%
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What is the least common multiple of 3, 9, and 12?
Answer:
36
Step-by-step explanation:
3=3
9=3*3 = 3^2
12=2*2*3 = 2^2*3
lcm = 2^2*3^3
= 4*9
therefore lcm= 36
Answer:
36
Step-by-step explanation:
[tex]\bold{3} \times \bold{12} = 36\\\bold{9} \times 4 = 36[/tex]
Rearrange bn - w = f to make n the
subject.
Answer:
n = (f + w)/b
Step-by-step explanation:
bn - w = f
Rearrange the equation so that the subject is on its own, in the format Ax = B
bn - w + w = f + w
bn = f + w
Isolate the subject, so that it's in the format x = C
bn = f + w
bn/b = (f + w)/b
n = (f + w)/b
Determine whether this statement is true or false. If false, identify the correct explanation.
If an angle is acute, then its supplement is a right angle.
true
false; the complement is a right angle
false; supplement is less than a right angle
false; supplement is an obtuse angle
If an angle is acute, then its supplement is an obtuse angle (true).
What is an Acute Angle?An acute angle is an angle that has a measurement that is below 90 degrees (right angle).
What is an Obtuse Angle?The measurement of an obtuse angle is less than 180 degrees but more than angle 90 degrees (right angle).
What is the Supplement of an Angle?The supplement of an angle is the measure of that angle subtracted from 180 degrees.
For example, if an acute angle measures 30°, therefore:
The complement of 30° = 90 - 30 = 60°. 60° is also an acute angle.
The supplement of 30° = 180 - 30 = 150°. 150° is an obtuse angle.
Therefore, we can conclude that: if an angle is acute, then its supplement is an obtuse angle (true).
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A garden is in the shape of a square with a perimeter of 60 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is
2 feet from the first fence on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?
The total length between the two fences is 136 ft, and the total cost is 164.56 dollars.
What was the total cost of the fences?We have a square garden with a perimeter of 60ft. Then if the sidelength of the square is S, we have that:
60ft = 4*S
S = 60ft/4 = 15ft
We know that the first fence is around the perimeter of the garden, so the length of the first fence is exactly 60ft.
Now, the other fence is 2ft away from the first fence, so it forms a square of sidelength of:
15ft + 2*2ft = 19ft
Then the perimeter of this square is:
P = 4*19ft = 76ft
This means that the length of the second fence is 76 ft.
So the total length of fence is 76ft + 60ft = 136ft
And the cost is $1.21 per ft, then the total cost for the fence is:
C = 136*$1.21 = $164.56
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Amelia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.60 plus $0.50 per mile. The total fare was $13.60, not including the tip. Write and solve an equation which can be used to determine
m
m, the number of miles in the taxi ride.
Solution: the number of miles in the taxi ride.= 180 miles
Miles : A unit of length equal to exactly 1.609344 kilometers.
Also equal to 1,760 yards or 5,280 feet.
The average walking speed is 3 miles per hour (so it takes about 20 minutes to walk 1 mile).
The taxi company charged a pick-up fee of $4.60
The taxi company charged $0.50 per mile.
The total fare was $13.60
The total fare = pick-up charged + traveling charged
the number of miles in the taxi ride = m
$13.60= $4.60 + m x $.50
$13.60-$4.60 = $.50m
9 =.50 m
9 /.50 = m
900/5 = m
180 = m
the number of miles in the taxi ride.= 180 miles
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One of the worlds largest crocodiles weighed 38,400 ounces how many tons did the crocodile weigh
Answer: 1.2 tons
Step-by-step explanation:
Answer: 1,777
Step-by-step explanation:
help me please !!!!!!!
The rate of change in gas usage is 34.70 miles per gallon.
What is the rate of change?The rate of change is the total gallons used for every one mile travelled. To determine the rate of change, divide the miles driven by the gallons used.
Division is the mathematical operation that is used to determine the quotient of a number. It involves grouping a number into equal parts using another number. The sign used to represent division is ÷.
Rate of change = miles driven / gallons used
1041 / 30 = 34.70 miles per gallon
1596. 2 / 46 = 34.70 miles per gallon
1665.6 / 48 = 34.70 miles per gallon
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21 increased by twice Gail's height
Use the variable g to represent Gail's height.
The expression represented by 21 increased by twice Gail's height is 21 + 2g
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
21 increased by twice Gail's height
Where
g represents Gail's height
So, we have
21 increased by twice Gail's height ⇒ 21 increased by twice g
Twice means 2*
So, we have
21 increased by twice Gail's height ⇒ 21 increased by 2g
increased by means +
So, we have
21 increased by twice Gail's height ⇒ 21 + 2g
Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g
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Simplify each number. (32)⁻⁴/₅
The result of simplifying each number (32)⁻⁴/₅ using the exponent rules is 1/16
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(32)⁻⁴/₅
Base= 32
Exponent= -4/5
As we have a negative exponent, you have to pass the exponent to the denominator:
1/(32)⁴/₅
As we have a fractional exponent, you must convert the exponent to root:
1/[tex]\sqrt[5]{}[/tex](32)⁴
1/[tex]\sqrt[5]{}[/tex]1048576
1/16
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Write an equivalent expression by distributing the "—" sign outside the parentheses:
3v - (7.9w - 9.3)
By applying the distributive property, the equivalent expression to 3v - (7.9w - 9.3) is: 3v - 7.9w + 9.3.
What is an Equivalent Expression?Two expressions are equivalent if they both have equal values when simplified or evaluated.
How to Apply the Distributive Property?To apply the distributive property, the term or operation sign outside the parentheses is used to multiply each of the terms that are within the parentheses.
Given the expression, 3v - (7.9w - 9.3)
Apply the distributive property to find an equivalent expression
3v - (7.9w - 9.3) = 3v -(7.9w) - (-9.3)
3v - (7.9w - 9.3) = 3v - 7.9w + 9.3
Therefore, by applying the distributive property, the sign "-" is distributed to get the equivalent expression to 3v - (7.9w - 9.3, which is: 3v - 7.9w + 9.3.
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Domain and range graph helppppppp plssssss
For graph number 13:
We can see that the domain is: {-3, 3} the range is: R: {-4, 2} this is not a function
How to find the domain and range with a graph?
For a relation that maps elements x into elements y, we define the domain as the set of the inputs and the range as the set of the outputs. And we say that the relation is a function if each input is mapped into, at most, one output.
If you look at the graph 13 you can see several points, which are of the form (x, y) and are:(-3, 2), (3, 2), (-3, -4), (4, -4)And it makes a little square.
Then you can see that the inputs are -3 and 3, so the domain is:
{-3, 3}
And the outputs are 2 and -4, then the range is:
R: {-4, 2}
And this is not a function, because for example, output 3 is being mapped into two different values.
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50 pts to whoever can solve these correctly
The quadratic equation is an equation of the form ax^2 + bx + c =0. Note that the quadratic equation is a polynomial of degree two. This implies that the highest power of x in the quadratic function is power two.
The quadratic formula is given by x = -b ± √b^2- 4ac/2a. The discriminant can be used to obtain the nature of the roots of a quadratic equation. If the roots are real and positive we would have a positive discriminant. If the value of the discriminant is negative then it implies that the roots of the equation are imaginary.
The discriminant can be given as √b^2 - 4ac. The statements that are true about the quadratic formula are;
x = -b/2a gives the line of symmetry
√b^2- 4ac/2a gives the maximum and the minimum points of the quadratic equation
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Solve for x and graph the solution on the number line. If possible, resolve your answer to a single inequality. In case of no solution leave the number line blank.
22>=-3x+7 and -3x + 7 >-17
The solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x < 8
What is a number line?A number line is a vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval
How to plot the number line?The expression is given as
22 >= -3x + 7 and -3x + 7 >-17
The above expression is an inequality expression
As a general rule:
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
So, we have
22 >= -3x + 7 and -3x + 7 >-17
Evaluate the like terms
15 >= -3x and -3x >-24
Divide through by -3
So, we have
-5 <= x and x < 8
Combine the expressions
-5 <= x < 8
Hence, the solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x < 8
See attachment for the number line
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Write each expression as a single logarithm. Identify any properties used. log 8+log 3
log (24) is each expression as a single logarithm.
A logarithm is defined simply.
The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.Each of the properties of exponential functions has an analog for
logarithmic functions.
logb(x)+logb(y)= logb(xy)
Use this properties
log 8+log 3 = log ( 8 * 3 )
log 8+log 3 = log (24)
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Assume you have applied for two jobs a and b. The probability that you get an offer for job a is 0. 25. The probability of being offered job b is 0. 20. The probability of getting at least one of the jobs is 0. 40. What is the probability that you will be offered both jobs? enter your answer as a decimal rounded to two places.
If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.
Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.
As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;
P(A∩B) = P(A) × P(B)
Here, P(A∩B) represents the probability of both the events to take place together
As P(A) is equal to 0.25
P(B) is equal to 0.20
P(A∩B) = (0.25)(0.20)
P(A∩B) = 0.05
Therefore, 0.05 is the probability that both jobs will be offered.
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If the variable h represents how many hours samantha works, write an algebraic expression that describes how much
samantha earns if she makes $14. 55 an hour. Create another an real life algebraic expression (or equation). Choose and define your variable
The algebraic expression that describes how much Samantha earns after h hours if she makes $14.55 an hour is x = $14.55h, where x is the amount of money she earns and h is the number of hours she works.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
If Samantha makes $14.55 an hour, and h is the number of hours she works, then the algebraic expression to demonstrate how much she earns is:
x = $14.55h
where x = amount of money she earns
h = number of hours she works
Another real life situation:
A piggy bank contains $25, and $1.50 is added each day. The algebraic expression to demonstrate how much money the piggy bank contains is:
m = $25 + $1.50(d)
where m = amount the piggy bank contains after d days
d = number of days
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Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.
Leena consumed 1,500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Leena consumed 500 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation.
Leena consumed 1,000 calories at dinner.
The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 + 300) = x can be used to model the situation
The correct statement regarding the algebra will be:
A. Leena consumed 1,500 calories at dinner.
B. The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
How to illustrate the information?Calories consumed at dinner = x
x = 2/3 of daily calorie
Hence, the fraction of calories consumed during breakfast and lunch can be calculated thus :
1 - 2/3 = 1/3
Let the total amount of calories consumed per day = c
1/3 × c = 750
c/3 = 750
c = 750 × 2 = 2250 calories
Calories consumed at dinner = (2250 - (750)) = 1500 calories
Therefore, the correct options are A and B.
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PLEASE HELP ME NOW!!! I OBLY HAVE 1 HR TO SOLVE THIS!!!
If A=1, B=2, C=3, …, and Z=26, find a word whose letter will sum to 75.
Answer:
Arrow
Because I used a word calc that took me like 5 mins to find lol
Questions in the picture
Answer:
198299 - Hundreds
2040949 - Millions
94.542 - Hundredths
5848 = 5800
1.83 = 2
459900 = 460000
0.07234 = 0.07
Find the value of x.
3x = 2 + 31
Answer:
x=11
Step-by-step explanation:
3x=2+31
3x=33
divide both sides by the coefficient of x
x=11
The diameter of a circle is 8 m. Find its area in terms of pi
Answer:
50.28 m²
Step-by-step explanation:
Area of a circle = pi r²
= 22/7 × 4 × 4
= 50.28 m²
HURRY FAST
Which equation applies the associative property of multiplication?
Answer:
8/9×7/4×(-5/8)=8/9×(-5/8)×7/4
Step-by-step explanation:
first equation
For A-D, select each fraction that is equal to 4 5
The fractions 16/20, 12/15, and 8/10 are equivalent fractions to 4/5.
When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number. This is the reason why when these fractions are simplified, they are reduced to the same value.
Let us understand the two ways in which we can make equivalent fractions:
Now, Divide the denominator or numerator by the same number or multiply the denominator and the numerator by the same number.
So, the equivalent fractions for 4/5 are:
(4/5) × (2/2) = (4 × 2) / (5 × 2) = 8/10
(4/5) × (3/3) = (4 × 3) / (5 × 3) = 12/15
(4/5) × (4/4) = (4 × 4) / (5 × 4) = 16/20
After simplifying, 16/20, 12/15, and 8/10 equal 4/5, indicating that they are identical in nature.
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A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture.
Part A: Write an expression to represent the total amount of juice left in the jar.
Part B: Simplify the expression and identify which property is used in each step.
Part A: Expression to represent the total amount of juice left in the jar : (0.25 +0.30 + 0.75) - 0.20
Part B: Simplifying above expression using properties of addition and subtraction gives that total amount of juice left is 1.1 liter.
What is an expression?An expression is a group of terms consisting of numbers and mathematical operators ( +, -,*,/) and "=" is not there.
Given that a jar contains 0.25 liter of apple juice, 0.30 liter of grape juice, 0.75 liter of pineapple. Melissa then drank 0.20 liter of the mixture.
Therefore, total juice in the jar before Melissa drank it = quantity of (apple juice + grape juice + pineapple juice ) = (0.25+ 0.30+0.75) liters
After Melissa drank 0.20 liter juice left = total juice before - 0.20
Thus, Expression to represent the total amount of juice left in the jar is: (0.25 +0.30 + 0.75) - 0.20
And it can be solved as (0.25 +0.30 + 0.75) - 0.20 = (0.55+0.75)-0.20
= 1.30-0.20 = 1.1 liter
Thus, after simplifying expression we get that the left juice in the jar is 1.1 liter.
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Oil flows through a pipe at a rate of 40m^3/s. How long will it take to fill a tank of volume 1.2x10^5m^3?
Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. If oil flows through a pipe at a rate of 40m³/s then it takes 50mins to fill a tank of volume 1.2x10⁵m³
What is Volume?Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.
Given that Oil flows through a pipe at a rate of 40m³/s.
Volume of the tank is 1.2x10⁵m³
volume =Rate *time
Time=Volume/ Rate
Time= 1.2*10⁵m³ / 40m³=3000seconds
We need to convert time in seconds to minutes
We know that 1 hr = 60 mins.
So divide 3000 sec by 60
3000/60= 50 minutes.
Therefore 50 min it will take to fill a tank of volume 1.2x10⁵m³.
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I need help on this it’s been hours
Answer:Eric cause 5/12 is greater
Step-by-step explanation:
HOW DO I SOLVE THIS PLEASE HELP ITS DUE IN 30 MIN
The numeric values for the function are given as follows:
A. f(a) = 9a - 9.
B. f(a + h) = 9a + 9h - 9.
C. f(a + h) - f(a) = 9h.
D. (f(a + h) - f(a))/h = 9.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the function is given by:
f(x) = 9x - 9.
At x = a, the numeric value is given by:
f(a) = 9(a) - 9 = 9a - 9.
Hence:
f(a) = 9a - 9.
At x = a + h, the numeric value is given by:
f(a + h) = 9(a + h) - 9 = 9a + 9h - 9.
Hence:
f(a + h) = 9a + 9h - 9.
Subtracting these values, we have that:
f(a + h) - f(a) = 9a + 9h - 9 - 9a + 9 = 9h.
Hence:
f(a + h) - f(a) = 9h.
Dividing by h, we have that:
(f(a + h) - f(a))/h = 9h/h = 9.
Hence:
(f(a + h) - f(a))/h = 9.
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What is 1/2 to the negative third power as a fraction
Answer:
Dunno
Step-by-step explanation:
PLEASE HELP ME ASAP!!!!
Which of these can most easily be found on a frequency chart?
A) The median
B) The mode
C) The mean
D) None of these
Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur(C)
( 8, 2 ), ( 4, -4 ) find the distance between each pair
Answer:
52 is the answer to that question