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
Prove that the values of unknown are correct. I need the answer fasttt. 6x -10 =20.
Answer:
Step-by-step explanation:
6x-10=20
6x=20+10
x=30/6
x=5
to prove 6x-10=30
substitute the value of x
6x-10
6*5-10
30-10
20
20=20 hence proved.
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months
Answer:
Step-by-step explanation:
y = ax + b
The trick is to solve for a.
y = 505
x = 8
b = 25
505 = a*8 + 25 Subtract 25 from both sides
-25 -25
480 = 8a
a = 60
What this means is that for each one of the 8 months, he added 60 dollars into his account
The equation is y = 60*x + 25
I need help or ima fail this class!!
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]g(x) = - 5x - 1 \\ x = 2 \\ [/tex]
Substitute the value of 'x' in the polynomial g(x) = - 5x - 1.
[tex]g(2) = - 5(2) - 1 \\ g(2) = - 10 - 1 \\ g(2) = - 11[/tex]
✐ The correct answer will be ⇻ C) g(2) = -11.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
Its A g(2) = 2
Step-by-step explanation:
g(2) This means that x is 2, so you can plug in 2 for "x" in the equation
Room Design Mr. Nelson is redesigning his living room. He would like to choose a new rug to place in the doorway of the room. Three possible rugs are shown. Each have a strip of fringe along each side. Rug A Rug C rug will Rug B 18 in 18 in. 18 in 13 in 13 in. Perimeter = 51 in. Perimeter = 57 in. Use the Rug A, Rug B, and Rug C figures to answer Questions 1-3. 1. For Rug A, how long will the strip of fringe be along the missing side length? 2. For Rug B, how long will the strip of fringe be along the missing side length?
-6, -2, 2, 6, 10 ,14.. find the term in position 12 (include the steps)
Friday and you are leaving school . You are going to the pizza palace and then the movies with your friends . After the movies you go home and Saturday you wake up to spend the day at the park and then go to the school to play on the basketball court. After a very active day you go home to sleep. Determine the total distance you traveled on Friday and Saturday if you always took the most direct route (HINT : Find the hypotenuse ). Each cell on the graph represents one mile. The total distance traveled will puzzle four ! Round all your answers to the nearest hundredth
Answer:
50.33
Step-by-step explanation:
please help me, i need it right now !!
Answer:
Is it 63
Step-by-step explanation:
Solve the following inequality: 30 ≥ -30 – 6x *
Answer: The answer is x ≥ -10
Step-by-step explanation:
help please!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]{ \boxed{a = 3.75}}[/tex]
[tex]{ \boxed{b = 16}}[/tex]
Step-by-step explanation:
[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT
Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS
Answer:45
Step-by-step explanation:
i know this
6x3.2=
i need the answer
Answer:
19.2 PLS GIVE BRAINLIEST
Step-by-step explanation:
Which ordered pair is a solution for the system of equations
y= x - 1 and y = x2 - 4x + 3?
Answer:
(4,3),(1,0)
Step-by-step explanation:
There is a calculator that can solve this. its called mathaway.
hi! i’ll give brainliest please help
Answer:
deposition of eroded materials
Step-by-step explanation:
Answer:
now that i have the answer button the answer is B im not copying the other guys answer i have answered first in the ch-at so please don't come at me lol
Step-by-step explanation:
Please help with this homework
Answer:
Look below.
Step-by-step explanation:
1. 3000
2. 5000
3. 6000
4. 7000
Starting from left to right.
356-45= ????????????????
Answer:
311
lol
Step-by-step explanation:
Answer:
Easy! It’s 311!
Step-by-step explanation:
1. Write down 356 - 45.
2. What is 6 - 5? It’s 1.....
3. What is 5 - 4? It’s 1......
4. Put the 3 in the hundreds place so your answer should be 311.
Plss help
I don’t don’t know how to do this 20 points
Answer:
(-3,6)
Step-by-step explanation:
(-1,3) -2x + 3y =(-3,6)
Answer:
-1,3
Step-by-step explanation:
You put the x line before the y line
help ASAP PLEASE look like a
Answer: B. 1
Step-by-step explanation: A common factor is something that two or more numbers have in common. It is 1 because you multiply 1 by 1 to get 1, and 1 by 2 to get 2.
(1 by 1) = 1
(2 by 1) = 2
These two numbers have the number 1 in common because both 1 and 2 can only be multiplied by 1 and itself to get the number. (That is also what you call prime numbers.)
Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
help me out please <3
ANSWER is Option C
Use 2πr = 2×3.14×6 = 37.68 inches
Answer:
37.68
Step-by-step explanation:
d=14
r=d/2
2(3.14)6
=3.68
=3.7
Solve for: n/6=4/2 ?
Answer:
n = 12
Step-by-step explanation:
Given
[tex]\frac{n}{6}[/tex] = [tex]\frac{4}{2}[/tex] = 2 ( multiply both sides by 6 )
n = 12
PLEASE ANSWER QUICK!! what’s the correct answer?
Answer:
48r
Step-by-step explanation:
what number multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6
=>10³
5 × 10³ × 10³ = 5 × 10⁶
The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b) in the form of (ac+bc).
We have an expression:
= 5×10³
We have to make the above expression equivalent to the [tex]5\times 10^6[/tex]
Let's suppose the number is x.
Now according to the question:
[tex]\rm (5\times10^3)\times x = 5\times 10^6[/tex]
[tex]\rm x = \frac{5\times 10^6}{(5\times10^3)}[/tex] (divide by 5×10³ on both sides)
x = 10³ (after simplification)
x = 1000
Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.
Learn more about the distributive property here:
brainly.com/question/5637942
CAN SOMEONE FIND THE VOLUME?
Hey there! I don't see any attached picture, but I can totally help in the comments if you give me a description of it :)
Newton's second law in physics states that F=ma, where F is the force of an object (measured in Newtons), m is the mass of the object (in kilograms) and a is the acceleration of that object (measured in m/s). Calculate the force created from an object with a mass of 640 grams and an acceleration of 10 m/s2
Answer:
mass=640/1000kg
=0.64kg
acceleration =10m/s^2
now,
force=mass*acceleration
=0.64*10
=6.4newton
Someone help! What is 4 1/4-5/6?
Answer:
3 5/12
Step-by-step explanation:
Answer:
3 5/12
Step-by-step explanation:
4 1/4-5/6
Get a common denominator of 12
4 1/4 *3/3 - 5/6 *2/2
4 3/12 - 10/12
Borrow from the 4
3 + 12/12 + 3/12 - 10 /12
3 15/12 - 10/12
3 5/12
Dawn is having a party. She wants to make punch and the recipe calls for 4 pints of orange juice, 5 cups of apple juice, 1/2 gallon of lemonade, and 2 quarts of pineapple juice. When she mixes this altogether, how many gallons of punch did Dawn make?
Answer:
1 13/16 gallons
1.8125 gallons
Step-by-step explanation:
convert the measures that are not in gallons to gallon
1 pint = 1/8 gallon
4 x 1/8 = 1/2
1 cup =1/16 gallon
5 x 1/16 = 5/16
0.3125
1 quart = 1/4
1/4 x 2 = 1/2
Add these figures togehter
1/2 + 5/16 + 1/2 + 1/2 = 29 / 16 = 1 13/16 gallons
PLEASE HELP IOLL GIV EBRAINLIEST ANSWER!!
Answer:
8 1/3 meters
Step-by-step explanation:
set up a proportion of corresponding sides:
TE/AY = JT/DY
25/AY = 18/6
cross-multiply:
18AY = 150
AY = 150/18 which is 8 1/3
HELP ME PLEASE!!! THANK YOU!
Answer:
down v
Step-by-step explanation:
1=20 mph
2=40 mph
3 1/4= 60.5 mph(im not sure if its correct but.)
.5 mph=10
2.5 mph=50
thats all i know
a line passes through the point (-10,9) and has a slope of -1/2 write an equation in slope-intercept form for this line.
PLEASE do this fast. I will mark the correct answer brainliest. Also, please only answer with the right answer not stuff unrelated or not answering the question. Please hurry. Thank you so so so much.
Answer:
[tex]y=-\frac{1}{2} x+4[/tex]
Step-by-step explanation:
The equation of a straight line in slope intercept form is given by:
y = mx + c;
where y, x are variables, m is the slope of the line and c is the y intercept (that is value of y when x is 0).
The equation of a line passing through point ([tex]x_1,y_1[/tex]) with a slope of -1/2 is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Given that the line passes through the point (-10,9) and has a slope of -1/2. Hence the equation of the line is:
[tex]y-9=-\frac{1}{2}(x-(-10)) \\\\y-9=-\frac{1}{2} (x+10)\\\\y=-\frac{1}{2} x-5+9\\\\y=-\frac{1}{2} x+4[/tex]
The recursive formula for a geometric sequence
Step-by-step explanation:
would you still like me to help you with this question