It will them 15 minutes to change the tire of one car which is option d.
What is inverse proportion?Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.
It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.
so the time taken one tire by the two men 30/2 = 15 minutes.
In conclusion it took the 2 men 15 minutes to change one tire
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ILL GIVE BRAINLY PLEASE HURRY State the area of the given parallelogram.
Responses
A 35 units squared35 units squared
B 28 units squared28 units squared
C 70 units squared70 units squared
D 11 units squared11 units squared
Answer:
35
Step-by-step explanation:
The area of the parallelogram will be equal to 28 units squared. Hence, option B is correct.
What is Parallelogram?The phrase "parallelogram" is a translation of the Greek phrase "parallelogrammon," which means "bound by the contract by parallel lines." As a consequence, a quadrilateral that is bordered by parallel lines is called a parallelogram. It has parallel and equal opposite sides on all sides.
As per the data obtained from the given values,
Length of base (b) of parallelogram = 7
Length of height (h) of parallelogram = 4
Use the formula of area (A) of a parallelogram,
[tex]Area = Base*Height[/tex]
A = 7 × 4
A = 28 units squared.
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Data were recorded for a car's fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour
(mph). Given the least-squares regression line, In(Fuel Efficiency) = 1.437 +0.541 In(Speed), what is the fuel efficiency
for a speed of 60 mph?
A)3.65 mpg
B)33.90 mpg
C)36.52 mpg
D)38.55 mpg
The fuel efficiency for the speed of 60 mph is (d) 38.55 mpg
How to determine the fuel efficiency for the speed?From the question, we have the following least-squares regression line equation that can be used in our computation:
ln(Fuel Efficiency) = 1.437 +0.541 In(Speed)
Also from the question, we have the following parameters:
Speed = 60 mph
This means that we substitute 60 mph for speed in the given equation
ln(Fuel Efficiency) = 1.437 + 0.541 In(Speed)
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 0.541 In(60)
Take the natural logarithm of 60
This gives
ln(Fuel Efficiency) = 1.437 + 0.541 * 4.09434456222
Evaluate the products
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 2.21504040816
Evaluate the sum
So, we have the following representation
ln(Fuel Efficiency) = 3.65204040816
Take the exponent of both sides
Fuel Efficiency = e^(3.65204040816)
Evaluate
Fuel Efficiency = 38.5532502162
Approximate
Fuel Efficiency = 38.55 mpg
Hence, the fuel efficiency is (d) 38.55 mpg
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A ball is drawn randomly from a jar that contains 5 red balls, 2 white balls, and 1 yellow ball. Find the probability of: Find P(red ball): Find P(NOT Yellow): Find P(white or yellow)
The answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
PRobability formula: P(E) = favourable events/Total events
(A) P(red ball):
P(E) = favorable events/Total events
P(E) = 5/8
(B) P(NOT Yellow)
P(E) = favorable events/Total events
P(E) = 7/8
(C) P(white or yellow)
P(E) = favorable events/Total events
P(E) = 3/8
Therefore, the answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
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How many different flag can be made from 10 colors of cloth if each flag is consist of 3 diffferent stripes?
Answer: 1000 different flags
Step-by-step explanation:
So for the flag there are 10 color options and you need to have 3 different stripes. Where you are able to use a color more than once.
For the first stripe there are 10 options so it can be any of the 10 choices.
For the second option you are able to use any of the 10 colors again so it can be any of the 10 colors.
For the last option for stripe 3 you can pick from ay of the 10 colors so there are 10 color options is could be.
Now that you know the how many choices of color there can be for each stripe you multiple the color choice for each stripe by each other to get the number of combinations for different flags.
colors for stripe 1x colors for stripe 2x colors for stripe 3= # of different flags
10x10x10=1000
so there can be 1000 different 3 stripe flags that can be made with 10 colors
How to divid mix numbers
What’s 0.4 divided by 2.56 i need help
Answer:
Step-by-step explanation:
0.15625
Which of the following is a solution to the inequality below? –5 ≥ –1 + s
The solution of the inequality –5 ≥ –1 + s will be less than or equal to negative 4.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
–5 ≥ –1 + s
Simplify the inequality, then the value of the variable 's' is given as,
–5 ≥ –1 + s
–5 + 1 ≥ s
s ≤ –4
The solution of the inequality –5 ≥ –1 + s will be less than or equal to negative 4.
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On a coordinate plane, the points (3,4) (8,4) (5,0) and (0,0) form a parallelogram. What is the perimeter of the parallelogram?
Question 15 options:
25
20
30
15
Answer:
20
Step-by-step explanation:
A parallelogram has 4 sides.
Each pair of opposite sides is congruent.
To find the perimeter, find the length of 2 adjacent sides and multiply by 2.
Length of side (0, 0) to (5, 0) is 5.
Length of side (5, 0) to (8, 4) is the hypotenuse of a right triangle with legs of lengths 3 and 4.
a² + b² = c²
3² + 4² = c²
c² = 9 + 16
c² = 25
c = √25
c = 5
The hypotenuse measures 5 units.
perimeter = 2(5 + 5)
perimeter = 2(10)
perimeter = 20
Please help! Provide an answer with an explanation to my question & you will receive a 100 points for one question! :)
Answer:
B
Step-by-step explanation:
Standard deviation is the average distance away from the mean, thus B is correct
Find the area between the curves y=x^2 and y=-3*x
the area between the curves y=[tex]x^{2}[/tex] and y=-3x is 9/2 sq units
What is the area of the curve?By performing a definite integral between the two point, one may determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a & x = b. With the specified restrictions, integration may be used to compute this area.
The area between the curves y=[tex]x^{2}[/tex] and y=-3x
y=[tex]x^{2}[/tex] and y=-3x
firstly calculated the point of intersection. y = y
[tex]x^{2}[/tex] = -3x
[tex]x^{2}[/tex] + 3x = 0
x( x+ 3) = 0
x = 0 , x = -3
point of intersection is 0 , -3
Area = [tex]\int\limits _ {} \, x^{2} + 3xdx[/tex] from -3 to 0
Area = [ [tex]x^{3}/3 + 3x^{2} /2[/tex] ] from -3 to 0
Area = [ -27/3 + 27/2 ]
Area = [ -9 + 27/2]
Area = [-18 + 27] / 2
Area = 9/2 sq units
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Rewrite 302+40=342 in a different way, using the commutative of addition
Answer:
40+32=342
Step-by-step explanation:
Using the commutative of addition change the position of 302 and 40 the expression is 40+302=342 [analysis]
Mrs. Feinman has 20 boxes of markers. Next year, She plans to buy 560% more boxes. How many boxes will she have in all? Group of answer choices
Answer:
112
Step-by-step explanation:
Select all the equations that represent a line passing through the point (–2, 5) with a slope of 4. Multiple select question. cross out A) y − 5=4(x+2) cross out B) 4x – y= –13 cross out C) y+5=4(x – 2) cross out D) 4x – y=13 cross out E) y+2=4(x – 5) cross out F) 2x – 5y=4
The equations that represent a line passing through the point (–2, 5) with a slope of 4 are:
A) y − 5=4(x+2) B) 4x – y= –13How to find the equation of a line passing through point (–2, 5) with a slope of 4Equation of the line of slope = 4 passing through point (-2, 5) is calculated using the point slope formula which is
(y - y') = m(x - x')
y' = 5
slope, m = 4
x' = -2
substituting the known variables and solving
(y - 5) = 4(x - ( -2 ) )
y -5 = 4( x + 2)
y - 5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
the equation of the line with a slope of 4 and passing through point (-2, 5) is y = 4x + 13
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Given that cosO =8/17 and sinO=-15/17 what is the value of tanO
.
Answer:
15/8
Step-by-step explanation:
Factor 2/3x+4 2/3 linear equation hint 2/3 is gcf please help!!!!!
Answer:
To factor the expression 2/3x + 4, we first need to find the greatest common factor (GCF) of the coefficients of the terms in the expression. In this case, the GCF is 2/3, so we can write the expression as (2/3)(x + 12/2). This is the factored form of the expression, and it can be simplified to (1/3)(2x + 6).
Step-by-step explanation:
Max draws 2 rectangles each with an area of 24 square centimeters what could be the side lengths of max rectangles
Answer:
see explanation
Step-by-step explanation:
1 rectangle could have the side lengths of 6 and 4
The other could have the side lengths of 8 and 3
(Hope this is what the question asked)
The James family purchased a home for $180,000 five years ago and obtained an 80% LTV loan. Now the property has appreciated 25%. In addition, the loan has been paid down $11,000. What is the James’s current equity in the home?
$92000 is the James’s current equity in the home.
What is equity?Equity, also known as shareholders' equity or owners' equity for privately held businesses, is the sum of money that, in the event of a company's liquidation, would be distributed to its shareholders after all of the company's assets have been sold and its debt has been fully repaid.
In an acquisition scenario, it is equal to the sum of the company's sales less any liabilities that were not transferred to the new owner.
A company's book value can also be represented by shareholder equity. A payment-in-kind arrangement may occasionally include equity. Furthermore, it represents the proportionate ownership of a company's shares.
James’s current equity = (180000 × 1.25) - ((180000 × 0.8) -11000)
= 92000
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The length of the longer leg of a right triangle is 6inches more than twice the length of the shorter leg. The length of the hypotenuse is 9inches more than twice the length of the shorter leg. Find the side lengths of the triangle.
The length of shorter leg is 15 inches, length of longer leg is 36 inches and the length of hypotenuse is 39 inches.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angle.
Let,
x = Longer leg of triangle
y = Shorter leg of triangle
h = Hypotenuse of triangle
Given: The length of the longer leg of a right triangle is 6inches more than twice the length of the shorter leg.
The length of the hypotenuse is 9inches more than twice the length of the shorter leg.
⇒ x = 6 + 2y
h = 9 + 2y
The given triangle is a right angled triangle.
⇒ x^2 + y^2 = h^2
(6 + 2y)^2 + y^2 = (9 + 2y)^2
36 + 24y + 4y^2 + y^2 = 81 + 36y + 4y^2
36 + 24y + 5y^2 = 81 + 36y + 4y^2
36 - 81 + 24y - 36y + 5y^2 - 4y^2 = 0
-45 - 12y + y^2 = 0
y^2 - 12y - 45 = 0
y^2 - 15y + 3y - 45 = 0
y(y - 15) + 3(y - 15) = 0
(y - 15)(y + 3) = 0
y - 15 = 0, y + 3 = 0
y = 15, y = -3
Since the length is not negative.
So, y = 15
Hence,
Shorter leg = 15 inchs
Longer leg = 6 + 2y = 6 + 2(15) = 36 inches
Hypotenuse = 9 + 2y = 9 + 2(15) = 39 inches
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A tower on the bank of a river is of 20 m high and the angle of elevation of the top of the tower from the opposite bank is 30 degree. find the breadth of the river
the breadth of the river is [tex]20\sqrt{3} m[/tex] or 34.614 m
as per given in the question ,
the length of the tower (l) = 20m
the angle of elevation of the top of the tower from the opposite bank
[tex]\theta[/tex] = [tex]30^{0}[/tex]
the breadth of the river should be found
let the breadth of the river be x,
to find breadth,
[tex]tan\theta=\frac{opposite\ side}{adjacent\ side}[/tex] ----(1)
the opposite side will be the length of the pole i.e, 20m
the adjacent side will be the breadth of the river i.e, x
now substitute all the values in equation (1)
[tex]tan\theta=\frac{20}{x}[/tex]
=> [tex]tan 30^0= \frac{20}{x}[/tex] ( the value of [tex]tan30^0 =\frac{1}{\sqrt{3} }[/tex] )
=> [tex]\frac{1}{\sqrt{3} } =\frac{20}{x}[/tex]
=> [tex]x=20\sqrt{3}m[/tex]
so,
the breadth of the river is [tex]20\sqrt{3} m[/tex] or we can write 34.614m
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Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
Interesting Slopes- Definitions
the slope of the line is zero, as change in y cordintae is 0.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
In the given line in the graph, the change in y coordinate is 0.
We know that slope = change in y / change in x
As the change in y coordinate is 0.
The slope of the line will be zero.
Hence, the slope of the line is zero.
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RHOM is a rhombus with point O at the origin. Find the
x-coordinate
of point M.
01
02
03
04
M (7,4)
R
H (5,0)
The points on the rhombus M(?, 0) and H(5, 0), and the location of the point O of the rhombus, indicates that the length of a side of a rhombus is 5 units from which Pythagorean Theorem indicates that the x-coordinate of the point M is 3
What does the Pythagorean Theorem state?Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equivalent to the square of the length of the hypotenuse side of a right triangle.
The shape of the quadrilateral RHOM = A rhombus
The specified coordinates of the vertices of the rhombus are;
Point M = (?, 4)
Point H = (5, 0)
A rhombus is a parallelogram that have all four sides of the same length
The length of side OH, which is on the x-axis = 5 - 0 = 5
Therefore, the length of OM = 5 (properties of a rhombus)
Let x represent the x-coordinate of the point M
According to Pythagorean Theorem, we get;
x² + 4² = 5²
Where x = The horizontal distance of the point M from the y-axis
x² = 5² - 4² = 9
x = √9 = 3
The x-coordinate of the point M, x = 3
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Using the functions s = 13.5h, which statement is true?
The domain of s = 13.5h is (0, 1, 2, 3, 4).
The range of s = 13.5h is (0, 13.5, 27, 40.5, 54).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
s = 13.5h
For h = 0,
s = 0
For h = 1,
s = 13.5
For h = 2,
s = 27
For h = 3,
s = 40.5
For h = 4,
s = 54
Thus,
The domain is (0, 1, 2, 3, 4).
The range is (0, 13.5, 27, 40.5, 54).
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when asked to rewrite 27+45 as a product of the GCF and a sum of two numbers, a student wrote 3(9+15). is the student correct? why or why not?
Answer:correct
Step-by-step explanation: If you distribute the 3 to 9 and 15 you will get this,
3x9 + 15x3
27 + 45
I need help with this. Reasons are below :)
Answer:
2.) definition of vertical angles
3.) the vertical angles theorem
4.) symmetric property of congruence
Use the quadratic formula to find the solutions to the quadratic equation
below.
2x²-5x+ 5 = 0
O A. x=-
OB. X=
O C. x=
5±i√55
4
OD. X=-
5± √15
4
5± √55
4
5+√15
4
A quadratic equation's solutions can be found using the quadratic formula, which is option D.
What's the quadratic equation's formula?Any quadratic problem can be resolved using the quadratic formula. First, we change the equation's form to ax2+bx+c=0, where a, b, and c are the coefficients. Then, we enter these coefficients into the formula: (-b(b2-4ac))/(2a). View examples of how to apply the formula to a range of equations.If necessary, simplify the right side while writing the left side as a square. Create two linear equations by combining the positive and negative square roots of the right side with the square root of the left side. Each of the two linear equations must be resolved.Explanation:
2x^2 - 5x +5 = 0.
x = - 5 +-[tex]\sqrt{5[/tex].
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A quadratic equation's solutions can be found using the quadratic formula, which is option D.
What's the quadratic equation's formula?Any quadratic problem can be resolved using the quadratic formula. First, we change the equation's form to ax2+bx+c=0, where a, b, and c are the coefficients. Then, we enter these coefficients into the formula: (-b(b2-4ac))/(2a). View examples of how to apply the formula to a range of equations.
If necessary, simplify the right side while writing the left side as a square. Create two linear equations by combining the positive and negative square roots of the right side with the square root of the left side. Each of the two linear equations must be resolved.
2x^2 - 5x +5 = 0.
x = - 5 [tex]\pm[/tex] √5
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What is a simplified expression for the perimeter of the polygon?
Perimeter of the polygon is [tex]5x^{2} +y^{2}+3x+4y[/tex]
What do you mean by perimeter of polygon?
A polygon is a closed, straight-sided two-dimensional plane shape in geometry. There are no curves on the polygon's surface.
The total of a polygon's sides is referred to as the polygon's perimeter. A regular polygon's perimeter is provided by if it is one.
Regular polygon perimeter equals (number of sides) x (length of polygon's sides) units.
Given sides of the polygon are 4y , [tex]y^{2} , 4x^{2} -y^{2},3x,x^{2} +y^{2}[/tex]
Perimeter of the polygon is the sum of all sides of the polygon
Perimeter of the polygon = [tex]4y+4x^{2} -y^{2}+3x+x^{2} +y^{2} +y^{2}[/tex]
= [tex]5x^{2} +y^{2}+3x+4y[/tex]
Therefore, perimeter of the polygon is [tex]5x^{2} +y^{2}+3x+4y[/tex]
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is 1+1=11 or does 1+1= window
Answer:
Step-by-step explanation:
Probably "1+1=window" was discovered by some cheeky primary school student, and then it spread without attribution. We will never know for sure who originally came up with that.
a train leaved the station at 5=0 traveling at a constasnt speed the train travels 360 kilometer in 3 hours Write a function that relates the distance traveled d to the time t
The function is determined using speed and is found to be d = 120t.
What is speed?Speed is generally the change in distance per unit time. (rate of change of distance)
What is the formula of speed?To calculate speed, we will use speed = distance/time.
speed = 360/3
= 120km/hr
Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.
120 = d/t
Hence, d = 120t.
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A store is selling an NBA jersey for $60 that has been discounted by 25%. What is the original selling price?
The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.
Define discount.The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.
Given,
Discount = 25%
Selling price = $60
Original price = x
Original price
= Selling price/1 - discount
= 60/ 1 - 0.25
= 60/ 0.75
= 80
The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.
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