An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
Answers
--------------------------------------------
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To find that answer, we simply solve for m
m/(30-15) = m/(30+15) + 1
m/15 = m/45 + 1
45*m/15 = 45*(m/45 + 1) ... multiply both sides by the LCD to clear out fractions
3m = 45*(m/45) + 45*(1)
3m = m+45
3m-m = m+45-m
2m = 45
2m/2 = 45/2
m = 45/2 <--- answer as a fraction
m = 22.5 <--- answer in decimal form
Use a calculator or long division to convert from fraction to decimal form.
Related Questions
How many diagonals can be drawn from one vertex of a hexagon
Answers
Nine diagonals can be drawn from the vertex of a hexagon.
What is diagonal?A diagonal of a polygon is a line segment joining two vertex points, excluding the sides of the polygon.
The formula used to find the number of diagonals of a polygon is
(n(n-3))/2
where n is the number of sides of the polygon.
A hexagon has six sides. So, n=6.
The number of diagonals in a hexagon is given by
(6(6-3))/2=9
Hence, a hexagon has nine diagonals.
To learn more about diagonals, use the link given below:
https://brainly.com/question/12274248
#SPJ2
-7+n/5= -11 can someone help me I'm bad a math
Answers
n/5 - 7 (+7) = -11 (+7)
n/5 = -4
n/5 (5) = -4(5)
n = -20
hope this helps
-20 / 5 = -4.
-7 + -4 = -11
So, your answer is -20.
Hope I helped! ☺♥
if f(x)= 5x +40 what is f(x) when x= -5
Answers
f(-25)=5+40.
f(-25) is your answer.
Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle?
Answers
4 angles = 360
120 + 117 +55 = 292
360-292 = 68
4th angle = 68 degrees
the recommended dosage of a drug for pediatric patients is 200 mg per kilogram of a patients weight if janine weights 76lb how much of the drug should she get
Answers
To determine the dosage of a drug for Janine, who weighs 76 pounds, convert her weight to kilograms and then multiply by the recommended dose per kilogram. The conversion and the dose calculation led to approximately 6894.6 mg of the drug.
The recommended dosage of a drug for pediatric patients is 200 mg per kilogram of the patient's weight. To calculate the dosage for Janine, who weighs 76 pounds, we first need to convert her weight from pounds to kilograms, as dosages are usually measured in metric units. To do so, we use the conversion factor where 1 kilogram equals 2.20462 pounds.
First, we convert Janine's weight to kilograms:
[tex]\frac{76}{2.20462}[/tex] lb/kg = 34.473 kg roughly.
Next, we calculate the total dosage needed in milligrams by multiplying her weight in kilograms by the dosage per kilogram:
34.473 kg * 200 mg/kg = 6894.6 mg.
Therefore, Janine should receive a dose of approximately 6894.6 mg of the drug.
How to know if a line is parallel perpendicular or neither?
Answers
John has on his shelf four books of poetry, four novels, and two reference works. suppose from these ten books, we were to pick two books at random. what is the probability that we pick one novel and one reference work? (a) 1/2
Answers
The probability isf 8/45.
Probability calculation:
Calculate the total number of ways to pick 2 books from the 10 books, which is 10 choose 2 = 45.
Calculate the number of ways to pick 1 novel and 1 reference work, which is 4 choose 1 for novels * 2 choose 1 for reference works = 8.
Divide the number of favorable outcomes by the total outcomes to get the probability: 8/45 = 8/45.
Find the volume of a cube that will hold sixty-four 4.19 in3 toy bouncy balls. (round to nearest whole number)
Answers
we know that
The volume of the ball (sphere) is equal to
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
In this problem we have
[tex]V=4.19\ in^{3}[/tex]
Find the radius of the sphere
[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substitute the value of V
[tex]r=\sqrt[3]{\frac{3*4.19}{4\pi}}=1\ in[/tex]
for the calculation of the total volume I will assume that each ball is a cube
The volume of each ball is
[tex]V=b^{3}[/tex]
where
b is the diameter of the ball
[tex]b=1*2=2\ in[/tex]
Substitute
[tex]V=2^{3}=8\ in^{3}[/tex] ------> volume of each ball in the shape of cube
so
Multiply by [tex]64[/tex]
[tex]64*8=512\ in^{3}[/tex]
therefore
the answer is
[tex]512\ in^{3}[/tex]
What is the value of x in the equation below?
–3 – (–8) – (–2) = x
Answers
If I'm not mistaken (it's been a while since I was in school) I believe the answer is x=11.
for lunch , you must choose a sandwich, a piece of fruit, and a drink. your choices include a ham sandwich, tuna sandwich, or cheese sandwich; an apple or an orange; and skim milk, whole milk, fruit juice, or bottle water. how many combinations of choices are possible
Answers
PLEASE HELP ASAP:))) I WILL GIVE YOU BRAINLEST ANWSER
(use the graph)
The picture below shows the dependence of the breaking distance on its speed on a dry road (curve OA), on a wet road (curve OB), on an icy road (curve OT). Answer the following questions:
a) What is the breaking distance of the car at a speed of 50 kilometers per hour in each case?
On a dry road : m
On a wet road : m
On an icy road : m
b) What should be the car’s speed in all three cases so that the breaking distance doesn’t exceed 60 meters?
On a dry road : the highest speed should be km/h
On a wet road : the highest speed should be km/h
On an icy road : km/h
Answers
Breaking distance "s" in meters is on the y-axis.
Each curved line represents the different road conditions.
for (a.) find the y-coordinate for each
Dry, curve A. follow the 50km/hr up to the curve and see it corresponds to about 30 m
Wet road, curve B. follow the 50km/hr mark up to see it corresponds to 80 m
Icey, curve T is 140 m
for (b.) they give you the breaking distance on the y-axis to find the corresponding speeds for each road condition. Follow the 60 m mark across to find each x-coordinate,.
Dry curve A, 70 km/hr
Wet curve B, about 45 km/hr
Icey curve T, 30 km/hr
You are dealt one card from a 52-card deck. find the probability that you are not dealt: a heart.
Answers
Quadratic inequalities
Answers
HELPS ASAP PLEASE!!!!
Find the product of -9 and -3.
A. 27
B. -27
C. 3
D. -3
Answers
5c+2(10−c) ????????
(x+8) - (X-8) ?????
Answers
[tex]5c + 2(10-c) Use the distributive property =5c+(2)(10)+(2)(-c) =5c + 20 -2c = 3c + 20 -------------------------- (x+8)-(x-8) x + 8 - x + 8 = 16 Best of luck! [/tex]
Find the real roots of the equation x^4-5x^2-36=0
Answers
Then x^4 - 5x^2 - 36 = 0 becomes p^2 - 5p - 36 = 0.
This factors nicely, to (p-9)(p+4) = 0. Then p = 9 and p = -4.
Equating 9 and x^2, we find that x=3 or x=-3.
Equating -4 and x^2, we see that there's no real solution.
Show that both x=3 and x=-3 are real roots of x^4 - 5x^2 - 36 = 0.
The root x = 1 has multiplicity 3 for the function f(x)=x^3-x^2-x+1. True or false
Answers
Plug in x = 1:-
1 -1 - 1 + 1 = 2 - 2 = 0 so x =1 is a root.
If it has multiplicity 3 then the function will factor to (x - 1)^3:-
(x - 1)^3 = (x - 1)(x^2 - 2x + 1) = x^3 - 2x^2 + x - x^2 + 2x - 1
= x^3 - 3x^2 + 3x - 1 so it is FALSE
The root x = 1 has multiplicity 3 for the function f(x) = x³ - x² - x + 1.
Explanation:The statement is true.
A root of a polynomial function has a multiplicity equal to the number of times it appears as a factor in the polynomial. In this case, the root x = 1 appears three times as a factor in the function f(x) = x³ - x² - x + 1. Therefore, it has a multiplicity of 3.
A perpendicular bisector intersects a segment at a right angle. Which of the following objects can a perpendicular bisector be? A. Ray, line, or line segment B. Line segment C. Ray D. Line or line segment
Answers
Answer with explanation:
The meaning of Perpendicular Bisector is ,to divide the segment into two equal parts , and angle between given segment and either ray or line or line segment which is used as perpendicular bisector has measure of angle equal to 90°.
A ray has a end point ,and other end goes infinitely in other direction.
A line has no end point in either direction.It goes till infinitely in both direction.
A segment has both ends fixed,does not go till infinity in either direction.
The perpendicular bisector can be any of the following:
A.⇒ Ray, line, or line segment
Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose into meters per second and explain how you set up the conversion factor.
Answers
Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 - 3 xy + 4 y^3 = -113 at the point ( -1,-3 ).
Answers
(12y² -3xy)dy/dx = -8x
dy/dx = -8x/[12y² -3xy]
dy/dx |(x=-1 , y=-3) : = -8(-1)/[12(-3)² - 3(-1)(-3)]
= 8/[108 -9]
=8/99
What is 2 1/5, 2.25, 8/20, 2.8 all
from least to greatest
Answers
Order from least to greatest is
.4 2.2 2.25 2.8
8/20, 2 1/5, 2.25, 2.8
let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))
Answers
Answer:
15x^4-5x^2+1
Step-by-step explanation:
g(x)=5x^2-1 and f(x)=3x^2-x+2
f(g(x))would mean that g(x) would be x in f(x).
So f(g(x) would be 15x^4-3-5x^2+1+2
simplified would be 15x^4-5x^2+1
Samantha is planting a garden in her backyard that is going to be 600 square inches. She loves tomatoes and wants them to cover 60% of the garden. She then put lettuce in 1/3 of what was left. The remaining part of her garden was used for fresh herbs. What is the area of the garden that is fresh herbs?
Answers
10% of 600 is 60
60×6=360
so 360 sq inches are used for tomatoes.
600-360=240
240 square inches are left
240/3 = 80 square inches used for lettuce
240-80=160
therefore she uses 160 square inches of garden for fresh herbs! :)
Gail owns a small business. There was a profit of $43 on Saturday and a loss of $48 on Sunday. Find the total profit or loss for the weekend.
A) $5 profit
B) $5 loss
C) $91 loss
D) $91 profit
Answers
Identify the transformation that maps the figure onto itself.
A) rotate 180° clockwise about (8, 4) and reflect across the line y = 1
B) rotate 180° clockwise about (8, 4) and reflect across the line x = 8
C) rotate 180° clockwise about (7, 1) and reflect across the line y = 1
D) rotate 180° clockwise about (7, 1) and reflect across the line x = 8
Answers
The temperature of dry ice is −109.3°f−109.3°f. this is 184.9°f184.9°f less than the outside temperature. write and solve an equation to find the outside temperature tt (in degrees fahrenheit).
Answers
Final answer:
To find the outside temperature T when the temperature of dry ice is -109.3°F, and it is 184.9°F less than the outside temperature, we simply need to add those two numbers. The outside temperature T is found to be 75.6°F.
Explanation:
The student is asked to find the outside temperature T given that the temperature of dry ice is −109.3°F. The temperature of dry ice is 184.9°F less than the outside temperature. To find the outside temperature, we can set up the following equation:
T = (-109.3°F) + 184.9°F
Now, we simply add the two numbers to solve for T:
T = 75.6°F
The calculation shows that the outside temperature T is 75.6°F.
If the width of the rectangle is three times the length and the perimeter of the rectangle is 72 ft, what are the length and width of the rectangle?
Answers
W+W+L+L=72
Replace W with 3L: 3L+3L+L+L=72
8L=72
L=9
W=27
Which of the following is the quadratic parent function
Answers
Answer:
A. F(x)=x^2
Step-by-step explanation:
Answer: Option A F(x)=[tex]x^{2}[/tex]
Explanation:
Quadratic function is the function which has degree two
Degree is the highest power of a polynomial
In option B we have |x| in which degree is one hence, discarded
In option C we have [tex]x^{3}[/tex] in which degree is three hence, discarded
In option D we have x which is a linear function being of degree one. Hence, discarded.
What is the x-intercept of the function graphed below?
Answers
because the line crosses the x-intercept (the horizontal line)
Answer:
Option C is correct
(-8, 0)
Step-by-step explanation:
x-intercept:
The point where function cuts x-axis that is point where y = 0.
Given that:
A graph with equation of line.
we have to find the find the x-intercept of the function graphed.
By definition of x-intercept.
From the given graph,
it can be seen clearly that the given line crosses that x-axis at (-8, 0)
⇒x-intercept = (-8, 0)
Therefore, the x-intercept of the function graphed is, (-8, 0)
find the product of (a²+b)(2a²-5b)