Answer:
Speed of slower bus = 50mph and
speed of faster bus = 60 mph
Step-by-step explanation:
Let speed of first bus be x mph
Then speed of second bus = x+10 mph.
Let A and B have a distance d.
Then given that faster bus reached in 3.5 hours.
i.e. ... i
THe other bus was away from B by 1/6 times d.
Distance travelled by slower bus = 1-1/6 = 5d/6
Time taken = 3.5 hours
i.e. ... ii
Divide i by ii to eliminate d.
ie Speed of slower bus = 50mph and
speed of faster bus = 60 mph
Use ii equation
miles
Please answer below :) I will mark the brainiest answer
Answer:The last option is correct.
Step-by-step explanation:
Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?
Answer: 126 cubic centimeters
Step-by-step explanation:
volume = (pi)(r^2)(1/3)(h)
diameter = 8 so radius = 4
4 squared is 16
multiply height by 3/4
10(3/4) = 30/4 = 15/2
Multiply this value by 1/3
15/2 x 1/3 = 15/6 = 5/2
(pi)(25)(5/2)
16x5/2 = 80/2 = 40
(pi)(40)
note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.
126 cubic centimeters
94.2 cubic centimeters is the approximate volume of water in Anju's cup.
To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:
Volume = (1/3) × π × r² × h
Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.
The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.
Substituting these values into the formula:
Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)
Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm
Volume = 12.56 cm² × 7.5 cm
Volume = 94.2 cm²
Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).
To learn more on Volume click:
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For what value of P, the binary number 1910, represents 14?
Answer:
1110
Step-by-step explanation:
14 in binary is 1110
1.1x10^5 in standard notation
Answer:
110000
Step-by-step explanation:
first, expand 10^5, which is 100000
use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000
A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.
Answer:
y=3/2x+18
Step-by-step explanation:
Hi there!
We are given a point (-6,9) and a slope of 3/2
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:
y=3/2x+b
Now let's find b
Since the equation of the line passes through (-6,9), we can use it to help solve for b
Substitute -6 as x and 9 as y:
9=3/2(-6)+b
Multiply
9=-9+b
Add 9 to both sides
18=b
Substitute 18 as b into the equation.
y=3/2x+18
Hope this helps!
The cookie's diameter is 14 cm. How much is the radius?
Answer:
7Step-by-step explanation:
The cookie's diameter is 14 cm. How much is the radius?
diameter = 2 * radius
radius = 1/2 diameter
14 : 2 = 7
solve for x, find the measure of all angles hurryyyyyyy!
Answer:
x=6 as 180 in triangle take away 150 30 by 5 is 6
pls help will mark as brainlist
Step-by-step explanation:
In n -sided polygon,
sum of interior angles =(n−2)×180°
Hexagon has 6 side
n=6
sum of interior angles of a hexagon =(6−2)×180°
=720°.
______________________________________
In n -sided polygon,
sum of interior angles =(n−2)×180°
Hexagon has 10 side
n=10
sum of interior angles of a hexagon =(10−2)×180°
=1440°.
hope this helps you.
A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.
please help
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
i need help on this pls
Answer:
the answer is 15 bc 30-15=15
Step-by-step explanation:
Answer:11?
Step-by-step explanation:30 buldogs
pirates 10 plus star 9 19 in 30 wwhats left
Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:
Answer: $920
Step-by-step explanation:
$115x8=$920 which is the total cost of eight tickets
what is the simplest form 2 sqrt 3 / sqrt 6
howdy the answer is A
sqrt 2
l=3cm×b=4cm×h=2cm
Can u pls help
Answer:
24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm
Step-by-step explanation:
3 x 4 x 2 = 12
If 7 boxes of crackers have a total of 98 crackers, how many crackers are in each
box?
Answer:
1 box = 14 crackers.
Step-by-step explanation:
7 boxes = 98 crackers
=> [tex]\frac{7 boxes}{7} = \frac{98 crackers}{7}[/tex]
=> 1 box = 14 crackers.
Therefore, each box will have 14 crackers.
Hoped this helped.
[tex]GenuisUser[/tex]
What is the quotient of 4/5÷1/3
The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.
[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]
Okay?!I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.
Answer:
tan 72 = 6/x
OR
cos 72 = x/15
Step-by-step explanation:
A good way to remember trig ratios is this
SOH CAH TOA -
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
You can find x in a few different ways.
If you did tangent, it would be
tan 72 = 6/x (because tangent is opposite over adjacent)
Or, there's also the pythagorean theorem...
Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ?
Answer:
243 km
precio de los kilómetros: $2357.10
Step-by-step explanation:
precio total = tarifa mínima + precio de los kilómetros
Para x kilómetros,
P = 490 + 9.7x
P = 2847.1
490 + 9.7x = 2847.1
9.7x = 2357.1
x = 243
precio de los kilómetros: 243 × $9.70/km = $2357.10
Respuesta: 243 km
precio de los kilómetros: $2357.10
-4 + (-3) – 8 + (-2) =
The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
Answer:
a. Use two sets of coordinates to write an equation to describe the relationship.
m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]
y = 8x
b. Interpret the equation in words.
Each roller coaster car holds 8 passengers.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
i need some help with simple algebra! using pemdas :p
Answer:
the answer is 69
Step-by-step explanation:
the step by step explanation is that 2+2+4
pemdas
perenthasy
exponents
multiplication
division
adition
subtraction
circle math problem,, area
Answer:
(E). (33/2)π + 18
Step-by-step explanation:
The reflex angle = 360 - 30 = 330 degrees.
Length of the curved part = (330/360) * 2π*9 = 33π/2.
The length of the straight lines = 9 + 9 = 18
So the required perimeter = 18 + 33π/2
grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below
Answer:
...
Step-by-step explanation:
Which expression is equivalent to -14x + 28?
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
PLEASE HELP FIND THE MEASURE OF X
Answer:
28.3
Step-by-step explanation:
if a side is 90 degrees, this makes the two other angles 45 degrees.
if the base side is 40, this makes the two other sides 28.284.
rounding 28.284 to the nearest tenth, we get 28.3
You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins
Number of pennies =
Number of nickels =
Number of quarters =
Answer:
There are 20 pennies, 33 nickels and 11 quarts.
Step-by-step explanation:
Total number of coins = 64 Amount of money = $4.60 = 460 cents
x = pennies y = nickels x = quarters
y x 3 = x
x + y + z = 64 coins
x + 5y + 25z
x + 4z = 64
x + 40z = 460
x = 20 z = 11
y = 3z = 33
19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.
Answer:
1
Step-by-step explanation:
how to do the first question?
Answer:
DUDE MAYBE SHOW THE GRAPH ????