Given:
A train travels 288 km at a uniform speed.
If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
To find:
The initial speed of the train.
Solution:
Let x km/h be the initial speed on the train.
New speed of train = (x+4) km/h
We know that,
[tex]Time=\dfrac{Distance}{Speed}[/tex]
Time taken by the train initially to cover 288 km is [tex]\dfrac{288}{x}[/tex] hours.
New time taken by the train to cover 288 km is [tex]\dfrac{288}{x+4}[/tex] hours.
It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.
[tex]\dfrac{288}{x}-\dfrac{288}{x+4}=1[/tex]
[tex]\dfrac{288(x+4)-288x}{x(x+4)}=1[/tex]
[tex]288x+1152-288x=x^2+4x[/tex]
[tex]1152=x^2+4x[/tex]
[tex]0=x^2+4x-1152[/tex]
Splitting the middle term, we get
[tex]x^2+36x-32x-1152=0[/tex]
[tex]x(x+36)-32(x+36)=0[/tex]
[tex](x+36)(x-32)=0[/tex]
[tex]x=-36,32[/tex]
We know that the speed cannot be negative. So, the only possible value of x is 32.
Therefore, the speed of the train is 32 km/h.
Which of the following are valid names for the triangle below? Check all that apply.
Below is how you insert a picture
pls help question in the pic
Answer:
x = 13
Step-by-step explanation:
Looking at the angle labeled, this is a 90-45-45 right isosceles triangle. As a result, x (the side indicated) is also 13, like the labeled side.
A tire on a vehicle has a diameter of 30in. As it moves down the
road it makes 50 full revolution. What is the approximate distance
it traveled?
Answer:
94.25 in
Step-by-step explanation:
In one revolution, the tire moves a distance equal to its circumference. If the diameter is 30 in, the radius is half of that, 15 in. Circumference is 2 pi times the radius:
[tex]C=2\pi r= 2\pi (15) = 30\pi \approx 94.25 \text{ in.}[/tex]
i dont undersyand jnjnjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiin
Answer:
no 36x is not a solution the answer is 36/9=4
Step-by-step explanation:
you plug in 36 for x and then divide by 9
pls answer quickly, ill give u brainly .
Why was the Tet Offensive considered a turning point in the Vietnam War? Check all that apply.
◯The US and South Vietnam reclaimed towns that were attacked.
◯President Johnson decided not to run for reelection.
◯Americans wanted the war to continue in Vietnam.
◯US confidence in winning the war was weakened.
◯Fighting communism was easy for troops in Vietnam.
Answer:
Its A, B, and D.
Step-by-step explanation:
The Tet Offensive considered a turning point in the Vietnam War because:
The US and South Vietnam reclaimed towns that were attacked.President Johnson decided not to run for reelection.US confidence in winning the war was weakened.What happen in Vietnam war?Troops from the United States and South Vietnam targeted North Vietnamese and Viet Cong hideouts in Cambodia and Laos.
Although being a military defeat, the Tet Offensive was a stunning propaganda win for communists. In fact, it is frequently regarded for changing the tide of the war in their favour.
As Viet Cong rebels invaded rural areas previously held by the South Vietnamese government, the South Vietnamese began to lose authority.
Despite tremendous deaths, North Vietnam secured a strategic triumph with the Tet Offensive, which represented a watershed moment in the Vietnam War and the start of the protracted, agonising American withdrawal from the region.
Learn more about Vietnam War here:
https://brainly.com/question/11375126
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find m in this screenshot
Answer:
Angle measure KRQ is 146 degrees
Step-by-step explanation:
Here, we want to find the measure of the indicated angle
From what we have in the question;
angle measure KRQ is corresponding to angle measure KNM
Mathematically, when two angles are corresponding to each other, their values are equal
What this means is that the value of the measure of KRQ is 146 degrees too
Mason built a model of a birdhouse for his engineering class,as pictured below.10 in,14 in,8 in,8 in.Find the area of Mason's birdhouse.
Answer:
672 square inches
Step-by-step explanation:
i took the test and got this question right
The area of Mason's birdhouse is 664 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
For the area of Mason's birdhouse,
We need to calculate the surface area of all the sides and add them up.
Now,
The birdhouse has six sides.
= a top, bottom, front, back, left, and right side.
The top and bottom of the birdhouse are both rectangles with dimensions 10 inches by 8 inches.
So,
The area of each rectangle.
= 10 in × 8 in
= 80 square inches
So,
The total area of the top and bottom of the birdhouse.
= 2 × 80 square inches
= 160 square inches
Now,
The front and back of the birdhouse are both rectangles with dimensions 10 inches by 14 inches.
The area of each rectangle.
= 10 in × 14 in
= 140 square inches
The total area of the front and back of the birdhouse.
= 2 × 140 square inches
= 280 square inches
Now,
The left and right sides of the birdhouse are both rectangles with dimensions 8 inches by 14 inches.
The area of each rectangle.
= 8 in × 14 in
= 112 square inches
The total area of the left and right sides of the birdhouse.
= 2 × 112 square inches
= 224 square inches
Now,
The total surface area of Mason's birdhouse.
= 160 + 280 + 224
= 664 square inches.
Thus,
The area of Mason's birdhouse is 664 square inches.
Learn more about rectangles here:
https://brainly.com/question/15019502
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A number b times 12 is at least 17.
Answer:
12 times 1
Step-by-step explanation:
Simplify the expression.
Answer:
25/64
Step-by-step explanation:
Find the circumferences of of both circles to the nearest hundredth.
9 ft
2.5 ft
L
18
The circumference of the yellow circle is about
ft.
The circumference of the purple circle is about
ft.
ty
Answer:
yellow circle = 43.96 ft
purple circle = 28.26 ft
Step-by-step explanation:
yellow circle = πd = (3.14)(14) = 43.96 ft
purple circle = πd = (3.14)(9) = 28.26 ft
The circumference of a circle is 30 miles. What is the radius?
Answer:
4.777
Step-by-step explanation:
Circumference of a Circle = 2πr
To solve for the radius = Circumference ÷ 2π
Answer = 30 ÷ (2 ×3.14)
Radius = 4.777
what is the use of yellow card in the game of football
The weather man says that the temperature is going to drop 5 degrees each day for the next 4 days. How much has the temperature dropped on the third day?
Answer:
hi
Step-by-step explanation:
i think 15
hope it helps
have a nice day
Answer:
15 degrees
Step-by-step explanation:
Because each day it drops 5 degrees, so for three days that will be 5x3 and the answer will be 15
Please answer this question!
Answer:
the answer is 45 . so circle 4
Answer:
(4) y = 45
Step-by-step explanation:
[tex]\frac{y}{5} - 2 = 7\\\frac{y}{5} = 7 + 2\\\frac{y}{5} = 9\\y = 9 (5)\\y =45[/tex]
a net of a triangular prisam is shown below. what is the surface area of the prism?
Wait, how are we supposed to know how the net looks like when you didn't take a picture of it???
Answer all questions in the spaces provided
17
Beth drives 300 miles in 6 hours.
She drives the first 36 miles at an average speed of 72 mphene om
Work out her average speed for the rest of the journey.
Answer:
nako ni gwapa ko
thankyouuuuu
The following table shows how much Dave gave each of his kids for allowance last month Find the median allowance
Answer:
7
Step-by-step explanation:
1. arrange the numbers from smallest to biggest
2. cross on each side until you reach a middle number
3. if there's two digits , add them both and divide by two
Answer:
7
Step-by-step explanation:
PLSSSSS HELPPPPPP ANSWER
Can someone help me with this because I am struggling and if you don't mind show me the steps?
Answer:
C) 1.5 in
Step-by-step explanation:
(7 + 1.5 + 1.5)(5 + 1.5 + 1.5) = 80
100 POINTS PLS HELP
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form
4 cm
27 cm
6 cm
Answer:
Step-by-step explanation:
Volume of prism = length * width * height
= 6*2.5*4.5
= 67 1/2 cm^3
Answer:
Step-by-step explanation:
vol = length*width height
= 6*2.5*4.5
= 67.5cm^3
An angle measuring 28.3 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
The terminal side of angle will lie in thirds quadrant
Step-by-step explanation:
Given the angle is 28.3 degree radians
Converting it into degrees we get -
28.3rad × 180/π = 1621.471°
Total 360 degrees rotation in this angle
1621.471°/360 = 4
SO the remaining degrees 181.471
The angle grater than 180 lies in third quadrant.
The terminal side of angle will lie in thirds quadrant
what is the sum of -7/18 and - 3/6 A) 4/9 B)-8/9 C) 4/9 D) 8/9
Answer:
B) -8/9
Step-by-step explanation:
multiply - 3/6 by three to have the same denominator as -7/18 so that they can add up
=> -9/18 + (-7/18) = -16/18 = -8/9
Help me please... I need help asap!
Answer:
ur doing exams
Step-by-step explanation:
hahhaha ur doing exams
1) Let X represent the number of tires with low air pressure on a randomly chosen car. The probability of distribution of X is as follows:
X 0 1 2 3 4
P(X) 0.1 0.2 0.4 0.2 0,1
a) Find the probability of 1 tire with low air pressure P (1) =
b) Find the probability of more than 2 tires having low air pressure P (more than 2) =
c) P (all 4 tires) =
d) Compute the expected number of tires with low air pressure.
e) Compute the standard deviation for the number of tires with low air pressure.
Answer:
0.2 ; 0.3 ; 0.1 ; 2
Step-by-step explanation:
X 0 1 2 3 4
P(X) 0.1 0.2 0.4 0.2 0,1
a) Find the probability of 1 tire with low air pressure P (1) :
From probability distribution table Given :
P(1) = 0.2
b) Find the probability of more than 2 tires having low air pressure P (more than 2) =
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.2 + 0.1 = 0.3
c) P (all 4 tires)
From the table :
P(x = 4) = 0.1
d) Compute the expected number of tires with low air pressure.
E(X) = Σx * p(x)
E(x) = (0*0.1) + (1*0.2) + (2*0.4) + (3*0.2) + (4*0.1) = 2
which is the asymptote of the graph
It's B
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The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6
9514 1404 393
Answer:
x = 25; ∠3 = ∠6 = 60°
Step-by-step explanation:
Angles 3 and 6 are alternate interior angles, so are congruent.
2x +10 = 3x -15
25 = x . . . . . . . . . . . add 15-2x
2x +10 = 2(25) +10 = 60
The measures of angles 3 and 6 are 60°.
What is the solution to the system of equations
y=2/3x+3b
x=-2
Answer:
You can solve this question by equating the two linear systems (by "substitution" or "elimination")
Step-by-step explanation:
I like dogs but this question is a hard one.
Answer:
Work below
Step-by-step explanation:
49 total dogs.
36 more small dogs.
13 big dogs.
lol just realized today's school has sh*t wording and this question can be taken TWO ways. 36 more as in, 36 more dogs in total or 36 more small dogs than large dogs adding the amount of large dogs with this. this gives us 49.
the only way to get the x value (large dogs) and add this on top of the 36 (small dogs) and get 49 is to do 6.5 + 42.5 (36 + 6.5) this gives us 49.
Thanks guy in the comments for giving the second response, after some thinking i realized that i could also read it that way.
F** k today's hw and their wording
Answer:
6.5 Large Dogs
42.5 Small Dogs
Step-by-step explanation:
You simply do not have enough love for dogs to solve the question.
Luckily I have an extremely high affection for dogs so I can help.
S = amount of small dogs
L = amount of large dogs
S + L = 49
S = 36 + L
plug the second equation into the correct variable of the first equation so:
(36+L) + L = 49
36 +2L = 49
2L = 49-36
L = 6.5 *this doesn't make sense*
S = 42.5 *this also doesn't make sense*
I don't know why your questions produce answers with 6 and a half dogs, haha, but these are the correct answers. Math never lies!
8 3/4 + 9 5/9=
with working?
8 3/4 + 9 5/9 Add 8 and 9
17 + 3*9/4*9 + 5*4/9*4 Find common denominator
17 + 27/36 + 20/36 Add
17 + 47/36 Convert into mixed fraction
17 + 1 11/36 Simplify mixed fraction
18 11/36. Answer
If you need the decimal form, it is 18.31. But other than that, the answer is 18 11/36.
what’s the upper and lower bound of 3.115
Answer:
its not bounded
Step-by-step explanation:
if a sequence is bounded both above and bounded below then we say its bounded. we can only conclude that 3.115 is either upper bound or the lower bound.