Answers
Answer:
65°
Step-by-step explanation:
180-115=65
Have a great day
Answer:
[tex]\displaystyle\Huge \bf\red{\underline{\underline{ANSWER}}}
[/tex]
Let the speed of the train be x km/hr and the speed of the bus is y km/hr.
So according to question and using
[tex] \huge \boxed{\sf{Time = \frac{Distance}{speed}}}
[/tex]
Total distance =300 km
Mansi travels 60 km by train and 300−60=240 by bus in 4 minute,
[tex] \bf\frac{60}{x} + \frac{240}{y} = \red4
[/tex]
and 100 km by train, 300−100=200 by bus, and takes 10 minutes more,
[tex] \bf {\frac{100}{x} + \frac{200}{y} = 4 + \frac{1}{6} = \frac{24 + 1 }{6} = \purple{\frac{25}{6}}}
[/tex]
Now, let
[tex]\bf\color{blue}{\frac{1}{x} = a}[/tex]
and.
[tex] \bf \color{blue}{ \frac{1}{y} = b }[/tex]
[tex]\bfthen 60a+240b=4.............(1)[/tex]
[tex]\bf100a+200b=25/6----(2)[/tex]
multiply (1) by 5 and (2) by 6 we get
[tex]\bf300a+1200b=20..........(3)[/tex]
[tex]\bf600a+1200b=25...........(4)[/tex]
Subtracting (3) and (4) we get
[tex]\bf \green{−300a=−5}[/tex]
[tex]\bf{a = \frac{1}{60}}[/tex]
Putting the value of a in (1) we get
[tex]\bf{60 \times \frac{1}{60} + 240b = 4}[/tex]
[tex]
\bf240b = 3 \\ \\ \bf b = \frac{1}{80} [/tex]
Now ,
[tex] \bf\frac{1}{x} = a \\ \\ \bf \red{a = 60 km/h \: \blue \bigstar}[/tex]
[tex] \bf\frac{1}{y} = b \\ \\ \bf \red {b = 80 km/h \: \pink \bigstar} [/tex]
Hence, the speed of the train is 60 km/hr and the speed of the bus is 80 km/hr.
Related Questions
Indica que medida hay que adicionar alas siguientes para obtener 1dm cúbico en cada caso a. 27cmcubicos b. 300cm cúbicos c. 0,0001 m cúbicos d. 12,000mm cúbicos
Answers
Answer:
A) Debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Debe agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Debe agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Debe agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
Step-by-step explanation:
A) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 27 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-27\,cm^{3}[/tex]
[tex]x = 973\,cm^{3}[/tex]
Por tanto, debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 300 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-300\,cm^{3}[/tex]
[tex]x = 700\,cm^{3}[/tex]
Por tanto, deben agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Sabemos que 0,0001 metros cúbicos equivalen a 0,1 decímetros cúbicos, entonces la cantidad a adicionar a 0,1 decímetos para obtener un decímetro cúbico es:
[tex]x = 1\,dm^{3}-0.1\,dm^{3}[/tex]
[tex]x = 0.9\,dm^{3}[/tex]
Por tanto, deben agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Sabemos que 1 decímetro cúbico equivale a 1000000 milímetros cúbicos, entonces la cantidad a adicionar 12 milímetros cúbicos es:
[tex]x = 1000000\,mm^{3}-12\,mm^{3}[/tex]
[tex]x = 999988\,mm^{3}[/tex]
Por tanto, deben agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
A sales agent makes 40 calls a day. About 15% of the call result in a sale. How many days will it take for the sales agent to meet a quota of 120 sales.
A. 6days
B.18 days
C.3 days
D. 20 days
Answers
Answer: 18
Step-by-step explanation:
I just did an old fashioned percentage table :) 15(%) divided by 100(%) times 120(whole) is 18, so it will take 18 days to meet a quota of 120 sales :)
A cargo plane can hold at most 38,000 lb. There are 35 boxes on the plane. Each box weighs 625 lb. How many additional boxes of the same weight can the cargo plane hold?
Answers
(35 x 625 = 21875)
38,000 - 21875 = 16125
16125/625 = 25.8
Technically 25.8, but it rounds to 25 boxes
Answer:
25 boxes
Step-by-step explanation:
a shopkeepee bought 7 books for rs.525 and sold 4 books for rs 360 .if he/she sold the remaining books at the same rate of cost price find his/her profit or losspercent
Answers
Answer:
His profit is 105 rs
Step-by-step explanation:
if he bought 7 books for 525 RS,that means 1 book costs 75 rs
if he sold 4 books for 360 RS,that means 1 boo costs 90 RS
90×7=630.
630-525=105
ות
A dock is 7 3/4m high. The portion of the dock above water one day was measured at 2 2/5m high.
How much of the dock structure was above water that day?
Answers
Answer:
dont use this
Step-by-step explanation:
oinf+euiv=4
Find BD.
plz help me
Answers
Answer:
BD = 28
Step-by-step explanation:
BC and CD are within line BD, so add those to make up for the length of BD
21 + 7 = 28
Circumference=( ) ft
Answers
Answer:
785.398 ft
Step-by-step explanation:
Circumfrence = pi * diameter
You can download songs online for $0.99 each. Write an equation relating the total cost (c) to the number of songs (s) you download. Define your variable: Write the equation: How much would 50 songs cost?
I'LL GIVE BRAINLIEST !!!
Answers
Answer:
It would cost $49.50
$0.99 x 50 = $49.50
31.41 to the neartest hundredth
Answers
Answer:
31.4 is the answer
Step-by-step explanation:
Answer:
31.4
I hope this helps!
Need help! Need to find both 1 and 2!
Answers
Answer:
How are you supposed to work this out? There is only 1 number then the rest you have to figure out...
Step-by-step explanation:
Im sorry i don't know how to work this :/
You can report this if you want Idc
-Cutepie465
big pp big ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig ppbig pp
Answers
What is the value of √x+3 when x = 15? 15√3 9√2 6√3 3√2
Answers
Answer:
√15+ 3
6,9
√3,9 x 3,9+ 3
3,9 +3 =6, 9
y/-7 = 1/14
y = ?
pls answer as a reduced fraction.
Answers
Answer:
y = -1/2
Step-by-step explanation:
−7⋅
Answer:
y=-1/2Step-by-step explanation:
y/-7=1/14
use cross multiplication
ie,14×y=1×-7 14y= -7 y= -7/14 y= -1/2Hope it helps
Given that y varies directly with x and x = 15 and y = 5 , then find what x would equal if y = 20 .
Answers
Answer:
X=60
Step-by-step explanation:
y=kx
5=15k
k=1/3
y=1/3 x
20=1/3 x
x=60
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
3 loaves
4 loaves
5 loaves
7 loaves
Answers
Sandals are on sale for 30% off. The original price of one pair of sandals is $15. What is the total cost, in dollars, of two pairs of sandals at the sale price and including 7% sales tax?
Answers
Answer:
$4.82
Step-by-step explanation:
30% of 15 = 4.5
7% of 4.5 = 0.315
4.5+0.315 = $4.815 approx $4.82
Please mark me brainliest
A. 22 trees
B. 35 trees
C. 40 trees
D. 55 trees
Answers
Answer:
A. 22 trees
D. 55 trees
Step-by-step explanation:
A and D are the answers because (6x2) + (5x2) = 22 and (6x5) + (5x5) = 55
Write the slope-intercept form of the equation of the line if m= 3 and b =
(0, 1)
Answers
Answer:y=3x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
(m) is slope
(b) is y int
y=3x+1
how many meters can a sprinter run in 3 mins at 600 m/min ?
Answers
Which expression is equivalent to 4(x + 6)?
O A. 4x + 6
O B. 5x + 10
O C. X + 24
OD. 4x + 24
Answers
4(x+6)
4x + 4•6
4x + 24
And 4 times by 6 is +24
Therefore it’s 4x +24
A bug was sitting on the tip of the propeller blade 4 ft. Long when the propeller started to rotate. The bug held on for 3 rotations before flying away. How far did the bug travel before it flew away?
Answers
Answer:
75.39 ft
Step-by-step explanation:
r = Radius of the circle drawn by the propeller = 4 ft
Circumference of the circle is
[tex]C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}[/tex]
So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.
Now the ant held on for 3 rotations so distance traveled is
[tex]3\times 25.13=75.39\ \text{ft}[/tex]
The bug traveled 75.39 ft.
Circle M is shown below
If mKN is 20° and m<T=30°, what is the measure of SP?
A. 50°
B. 80°
C. 35°
D. 25°
Answers
Answer:
Step-by-step explanation:
A
The measure of SP is 80°, therefore, option (B) is correct.
What is the arc measure?The center angle that creates the intercepted arc is what is known as the arc measure, which is measured in degrees.
Given that, mKN= 20° and m∠T = 30°.
The formula for the measure of angle ∠T is:
[tex]m\angle{T}= \frac{mSP - mKN}{2}\\30^{\circ} = \frac{mSP - 20^{\circ}}{2}[/tex]
60° = mSP - 20°
mSP = 60° + 20°
mSP = 80°
Hence, the measure of SP is 80°, therefore, option (B) is correct.
Learn more about the arc measures:
https://brainly.com/question/24199694
#SPJ5
Simplify [tex]\sqrt{ \frac{25y^2}{6x}[/tex]
the answer should look smething like this [tex]\frac{b \sqrt{x} }{y}[/tex]
Answers
Answer:
[tex] \frac{5y \sqrt{6x} }{6x} [/tex]
Step-by-step explanation:
[tex]\sqrt{ \frac{25y^2}{6x}} \\ \\ = \frac{5y}{ \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{ \sqrt{6x} \times \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{6x} [/tex]
HURRY PLEASE
What is the end behavior of the polynomial function?
Answers
heya! ^^
Help me
[tex]\boxed{ \large{ \sf{Question: }}}[/tex]
Five years ago,A's age was four times the age of B.Five years hence A's age will be twice of the age of B. Find their present ages.
_______________________
best of luck ^^
And don't spam =_=
Answers
Answer:
Let us consider B’s age = X
Then A’s age = 4X
Five years ago
⇒ A’s age = 4X + 5
⇒ B’s age = X + 5
Five years hence
⇒ A’s age = 4X + 5 + 5
⇒ A’s age = 4X + 10
⇒ B’s age = X + 5 + 5
⇒ B’s age = X + 10
From the given question
4X + 10 = 2(X + 10)
4X + 10 = 2X + 20
4X – 2X = 10
2X = 10
X = 5
A’s age = 4X + 5
A’s age = 25 years
B’s age = X + 5
B’s age = 10 years
please mark me as brainliest
If RT bisects SU, find each measure ST, RU, SV, SU,
Answers
Answer:
ST = 23
RU = 8
SV = 5
SV = 10
Step-by-step explanation:
Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:
✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.
ST and TU are a pair of adjacent sides.
TU = 23
✅Therefore, ST = 23.
RU and RS are a pair of adjacent sides.
RS = 8
✅Therefore, RU = 8.
✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.
Since UV = 5, therefore,
✅SV = 5
SU = UV + SV
✅SV = 5 + 5 = 10
A bisector divides the lines it bisects into equal segments
The measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
From the diagram, we have:
[tex]\mathbf{TU = 23}[/tex]
[tex]\mathbf{UV = 5}[/tex]
[tex]\mathbf{RS = 8}[/tex]
Because RT bisects SU, then:
[tex]\mathbf{ST = TU}[/tex]
So, we have:
[tex]\mathbf{ST = 23}[/tex]
Also, we have:
[tex]\mathbf{RU = RS}[/tex]
So, we have:
[tex]\mathbf{RU = 8}[/tex]
Also, we have:
[tex]\mathbf{SV =VU \times 2}[/tex]
[tex]\mathbf{SV =5 \times 2}[/tex]
[tex]\mathbf{SV =10}[/tex]
Lastly, we have:
[tex]\mathbf{SU =VU}[/tex]
[tex]\mathbf{SU =5}[/tex]
Hence, the measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
Read more about bisectors at:
https://brainly.com/question/13438893
Find the value of x.
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
The sum of exterior angles of a polygon is equal to 360 degrees[tex](12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7[/tex]how do you find whether a pair of lines are parallel, perpendicular?
Answers
Answer:
If two lines are parallel they have the same slope, if they are perpendicular they have opposite slopes.
Step-by-step explanation:
Example of parallel lines: y=3x+10 & y=3x-4
Example of perpendicular lines: y=2x-9 & y=-1/2x+1
Write an equation like y=mx+b to describe the graph
Answers
hope this helped !:)
one-step-solving-equation
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