9514 1404 393
Answer:
48 kph
Step-by-step explanation:
The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...
t = d/40 +d/60
And the average speed is ...
2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48
The average rate for the round trip is 48 kph.
_____
Additional comment
This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.
The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.
Answer:
216
Step-by-step explanation:
135/5=27
27*8=216
Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?
Answer:
81 stamps
Step-by-step explanation:
Here we will use the AP formula
We know that
a_n = a + (n - 1)d
a = first term = 5
n = number of terms = 20
d = common difference = 9 - 5 = 4
On putting values
=> a_20 = 5 + (20 - 1)4
=> a_20 = 5 + (19)4
=> a_20 = 5 + 76
=> a_20 = 81
Therefore,
She will have 81 stamps after 20 days
[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]
Here we have,
first term (a) = 5no. of terms (n) = 20 common difference (d) = 9 - 5 = 4[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]
Hence, there will be 81 stamps after 20 days.the population of london city is 11400. write this in scientific notation
Answer:
1.14 x 10x4
Step-by-step explanation:
thats is correct i just did the test
If the radius of one circle is 4cm and the diameter of another circle is 12cm, what is the ratio
of circumferences for the small circle to the bigger circle?
Answer:
2 cm/3 cm
Step-by-step explanation:
Diameter of smaller circle = 8cm
Diameter of bigger circle = 12 cm
8cm/12cm = 2/3
Hello! Please help!!
Answer:
3 x 6 = 18
Step-by-step explanation:
think it's right. that jump from 6 to 3 might be cause of my downfall.
Answer:
18!
Step-by-step explanation:
Its going down by 1 number, 9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 48
3 x 6 = 18
5 divided by 29.95 show work please
0.167
Step-by-step explanation:
5 ÷ 29.95
= 5 ÷ 2995/100
= 5 × 100/2995
= 500/2995
≈ 0.167
The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results
Answer:
Mean- 75.3
Median- 72
Mode- 72
Range- 77
Step-by-step explanation:
Given the following sets.
A = (0, 1, 2, 3}
B =[a, b, c, d)
C = (0, a, 2, b}
Find A n C.
O [0, 2}
O [a, b, c, d)
O [0, 1, 2, 3)
O empty set
O (0, a, 2, b)
find AnC
given,
A=(0,1,2,3)
C=(0,a,2,b)
now,
AnC=(0,1,2,3)n(0,a,2,b)
AnC=(0,2)ans.
the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
https://brainly.com/question/24950597
what is the slope of the number set of 4,1 and 4,8?
Answer:
The entered points belong to a vertical line. There is no slope.
Step-by-step explanation:
Someone help plz make sure it’s right and will make brainiest:)
The correct answer is y = -x + 3.
Good luck :) !
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
Answer:
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
125⁵
thats it easy as much
plss help ASAP
thank you
Answer:
35 in total
Step-by-step explanation:
4. "Eleven subtracted from the quotient of a
number and five is -13."
How do I write this equation?? HELP
Answer:
[tex]\frac{x}{5}-11=-13[/tex]
Step-by-step explanation:
11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13
[tex]\frac{x}{5}-11=-13[/tex]
I need help lollololol
Answer & Step-by-step explanation:
37.
Linda walked 3/4 (or 75%) of a track which is 3.5 miles long
Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)
38.
We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)
1/8 is 0.125
2/8 is 0.25
3/8 is 0.375
The track is 2.375 miles long.
Multiply 2.375 by 2.5
The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)
Step-by-step explanation:
37) ¾×7/2
21/8 miles = 2⅝miles .
38) (19/8×5/2)+19/8
= 95/16+19/8
= 133/16 = 8 5/16 miles .
hope this helps you.
subtract 3 1/6 1/7/12
Answer:
0 < 1 < 3 1/6
Step-by-step explanation:
0/6<6/6<19/6
0 is less than 1 is less than 3 1/6
using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5, 7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo, +oo)
true or false, two figures are mathematically similar if the angles change by the same scale factor.
Answer:
true
Step-by-step explanation:
when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.
number 3.) solve for x
Answer: D) 9
x = 9........
Solving Two Step Equations
9x + 6/3 = 5x + 2
Answer:
x = 0
Step-by-step explanation:
In this case it isn't exactly 2 steps, but you can still solve it.
First, simplify. Divide 6 with 3:
9x + (6/3) = 5x + 2
9x + 2 = 5x + 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:
9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)
9x - 5x = 2 - 2
4x = 0
Divide 4 from both sides of the equation to isolate the variable, x:
(4x)/4 = (0)/4
x = 0/4 = 0
x = 0 is your answer.
~
Answer:
4x+5
Step-by-step explanation:
9x+6/3=5x+2=9x-5x=4x+3+2=4x+4
The sum of thirty and a number is equal to seventy less than a number times three
Answer:
30 +x = 3(y-70)
Step-by-step explanation:
Please please help me with this question just help me on (C)
Answer:
move 3 seconds on your x-axis, and find your intersection with you y axis to determine the height h in m.
Am assuming you drew the function...
substitute 3 in the equation
[tex]h=-5({t})^{2} +20t\\ h=-5({3})^{2} +20(3)\\h=60-45=15m[/tex]
you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house
Answer:
35miles/1 hr=21miles/x hr
= x hr* 35miles/1 hr= 21 miles
= x = 21/35 =0.6 hr
So, traveling at 35mph it will take 0.6 hours to travel 21 miles.
If you want time in mins then keep going:
=> 60 mins = 1 hour, 0.6 hours = x mins
60mins/1 hr = x mins/ 0.6 hr
0.6 * 60 mins = 36 mins.
:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph
Step-by-step explanation:
Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.
Answer:
Sam average speed for the whole journey = [tex]3\frac{3}{11} mph[/tex]
Step-by-step explanation:
Formula: Speed = [tex]\frac{Distance}{Time}[/tex]
i.e. Time = [tex]\frac{Distance}{Speed}[/tex]
If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours
If he then walked 2x miles at 3 mph, then time for this period = [tex]\frac{2x}{3}[/tex]hours
Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]
=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]
=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]
=[tex]\frac{3}{\frac{3+8}{12} }[/tex]
=[tex]\frac{3 x 12}{11}[/tex]
=[tex]\frac{36}{11}[/tex]
=[tex]3\frac{3}{11} mph[/tex]
Hence, Same's average speed for the whole journey = [tex]3\frac{3}{11} mph[/tex]
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
What is 6% of 24.55 rounding to the nearest hundredth
Answer:
24.56!
Step-by-step explanation:
4 or less stays the same 5 or more goes up
Find the measure of each angle indicated.
A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°
Let the missing Angle be " x "
We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,
that is :
x + 80° = 100°x = 100° - 80° x = 20°value of missing angle = 20°
What is the result of subtracting the second equation from the first? 5x-y=6 and -2x+y=8
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,−4)
Equation Form: x= 2, y = −4
Step-by-step explanation:
I did the math
Determine the value of y
Answer:
C
Step-by-step explanation:
Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].
So, [tex]y+134=180[/tex].
We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].
So, the answer is [tex]\boxed{C}[/tex] and we're done!
hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
C) 1 ¼
Step-by-step explanation:
.25 = ⁴/⁴ ÷ .25 = ¼
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Answer:
The choice C)
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]
I hope I helped you^_^