Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
Kinyua spent 1/4 of his net salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally has she. 8400 calculate his total salary
Answer:
Let his net salary = x.
He spent 1/4th of x on School fees
Remainder = 1-1/4 = 3x/4
He spent 1/4th THE REMAINDER on Electricity and Water Bils
1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16
He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand
New Remainder = 3x/4 - 3x/16
= 9x/16.
He spent 1/9th OF WHAT REMAINED ON TRANSPORT.
1/9 x 9x/16
=x/16
New Remainder
= 9x/16 - x/16
=x/2.
If he finally had 8,400
Then
x/2=8,400
x=2x8,400
x= 16,800.
This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!
Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora
Respuesta:
03:40 pm;
15: 40;
20 minutos antes de las 4 pm;
40 minutos después de las 3 pm
Explicación paso a paso:
20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:
Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm
Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40
Además, el tiempo se puede informar en palabras de la siguiente manera:
20 minutos antes de las 4 pm
También ;
40 minutos después de las 3 pm
Help me this is giving my head a brain poop
Answer:
I suck at algebra. your on your own for this one buddy
Answer:
40 minutes
Step-by-step explanation:
I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes
Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]
Answer:
17
Step-by-step explanation:
the following equation can be derived from the question
7 = 1/3(4 + n)
multiply both sides of the question by 3
21 = 4 + n
combine like terms
21 - 4 = n
n = 17
What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)
How much paper is needed to cover a square-based pyramid with sides that are 3 inches and faces that have a height of 5 inches?
Answer:You get 21 Square inches i believe
Step-by-step explanation:
Answer:20
Step-by-step explanation:
A bag contains 4 red, 2 blue, 6 green and 8 white marbles. What is the probability of selecting a green marble, replacing it, then selecting a red marble
Answer:
14.7%
Step-by-step explanation:
Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.
(8/20)*(7/19)=.147
.147*100=14.7
A set of twenty cards is labeled 1 through 20. Anna draws one card randomly. What is the probability that Anna will draw an even number greater than 10?
Answer:
50% chance
Step-by-step explanation:
43 - 12y = 8
41 + 12y = 56
Answer:
no solution
Step-by-step explanation:
+12y and -12y cancel each other out.
we are left with 43+41=8+56
84 doesn't equal 64
so NO SOLUTION
Need help on this please so confusing
Answer:
x = 37 if im correct
Step-by-step explanation:
find x please help me this is due soon and I don’t know what to do
Answer:
116
Step-by-step explanation:
a line is 180 degrees so subtract 64 and you get 116, that is your angle
Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees
because 4 is given we know 6 is also 64 becasue they are alternative interior angles
all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)
becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)
Solve for x algebraically, x - 15 < 25
Answer:
x<40
Step-by-step explanation:
x-15<25
Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.
x-15<25
+15 +15
x<40
---
hope it helps
Solve for c.
53= 7 c +11
10
Answer:
c=6
Step-by-step explanation:
7c+11=53
you subtract 11 from both sides giving you
7c=42
then divide both sides by 7
c=6
PLS HELP ASAP
List all of the possible outcomes of head and tails when you toss four coins at the same time.
Answer:
2 x 2 x 2 x 2 = 16 possible outcomes
You have two sides of a coin, you flip 4 coins.
Now we just multiply 2 by itself 4 times.
Answer:
Tails, Head, Tails, Head
Tails, Tails, Head, Head
Head, Head, Tails, Tails
Head, Tails, Head, Tails
Tails, Tails, Tails, Head
Tails, Tails, Head, Tails
Tails, Head, Tails, Tails
Head, Tails, Tails, Tails
Head, Head, Head, Tails
Head, Head, Tails, Head
Head, Tails, Head, Head
Tails, Head, Head, Head
Tails, Tails, Tails, Tails
Head, Head, Head, Head
Leonardo put a 600 ring on layaway and putting a 10% down payment to pay $65 a week . How many weeks will it take for him to pay off the ring
can someone explain, i'm literally sweating trying to figure it out
Answer:
54 degrees.
Step-by-step explanation:
So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).
Given this, set these values equal to each other to get the value of a.
d = a + b
2a = (a+10)+44
2a = a + 54
a = 54
The measure of the exterior angle is 54 degrees.
................helpppp.......................
Answer:
36 cm³
Step-by-step explanation:
V = lwh
you can separate the figure into a 2 ×2 × 3 rectangular prism on left which gives you a volume of 12
the remaining portion is 2 × 2 × 6 which gives a volume of 24
12 + 24 = 36 cm³
Addition and Subtraction Property
what is x + 5 + 7
Answer:
the answer to the equation is x + 12
Step-by-step explanation:
x + 5 + 7 = x + 12
x + 12
Answer:
x+12 it think im not sure
Step-by-step explanation:
add 5 and 7 which get 12
The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?
Answer:
y=65+ 30x
Step-by-step explanation:
Given data
Cost of rental= $65
Additional month= $30
The expression for the total cost for x months is
y=65+ 30x
There are six bottles and five cans on a table. Three bottles have water in them and one can has water in it. What is the probability of randomly selecting a container with no water?
64%
81%
76%
100%
Answer:
64%
Step-by-step explanation:
There are 11 containers in total, in which 4 are filled. 11-4=7.
7×100=700÷11=63.6363...
rounded=64
9 2/3 – 4 1/5?
I don’t really know and umm yea …
Answer:
The answer is 188/15
Hope this helps!
Brainliest??
Can someone help with this math question please?
While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?
Answer:
288 pages
Step-by-step explanation:
Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)
[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]
Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)
[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]
Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)
[tex]100\\\\2.88 \times 100\\\\= 288[/tex]
Therefore, the book is 288 pages long.
What two numbers multiply to 7 and add up to -6?
Answer:
-7 and 1 multiply to 7 and add up to -6
Step-by-step explanation:
-7 and 1 multiply to 7 and add up to -6
y is inversely proportional to x.
When =9, y = 8.
Find y when x= 6.
Answer:
y=12
Step-by-step explanation:
y is inversely proportional to x
y=k/x
k is a constant of proportionality
k=yx
y1x1=y2x2
8(9)=y2(6)
y2=8(9)/6
y2=12
please help and show work
Answer:
1. 23
2. 8
Step-by-step explanation:
1. 180-157 = 23
2. 15²+x²=(9+x)²
225 +x²=81+18x +x²
225-81=18x
144 = 18x
x = 144/18 = 8
What is 150 mm in metres (m)?
A.0.015
B.0.15
C.1.5
D.15
Answer:
.15 meters
Step-by-step explanation:
answer is B
Step-by-step explanation:
150 mm is 0.15 metres
Is this a right triangle?
Answer:
yes
Step-by-step explanation:
it has a 90 degree angle
Will mark the correct answer brainliest
Answer:
How long the ball was in the air
Step-by-step explanation:
3.5 seconds is the amount of time that the ball's height starts from 0 meters and ends to 0 meters.
Answer:
How much long was the ball was in the air
Step-by-step explanation:
mark brainliest
i have no idea what this means pls help lol