Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
if x+1/x = 2 then x^3 + 1/x^3
Answer:
Let p (x) = x + 1 / x = 2
= x + 1 = 2x
= 2x - x = 1
or, x = 1.
let g(x) = x^3 + 1/x^3
since, x = 1
therefore,
g (1) = (1)^3 +1 / (1)^3
= 1 + 1 / 1
= 2 / 1
= 2
So, the answer to your question is 2.
x + 1 / x = 2
x × ( x + 1 / x ) = x × 2
x + 1 = 2x
x - x + 1 = 2x - x
x = 1
_________________________________
x^3 + 1 / x^3 =
1^3 + 1 / 1^3 =
1 + 1 / 1 =
2 / 1 =
2
Jimmy's Bakery sold 950 donuts last week. This week , the number of donuts sold increased 12%. How many more donuts were sold this week?
This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.6
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.57
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.34
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= P(win)×P(s<5)
= 0.6×0.34
= 0.204
Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
Learn more about the probability here:
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Solve for d.
3/2
= 5d
-1/2
Answer:
Step-by-step explanation:
3/2=5d-1/2 ( do cross multiplication )
3*2=2(5d-1)
6=10d-2
6+2=10d
8/10=d
4/5=d
0.8=d
On a certain hot summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that day?
Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
227 children and 109 adults
Step-by-step explanation:
227*1.5+109*2.5=613
227+109=336
Simple math! Please help!!!!
[tex] c.\:{x}^{ - 4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]
Note:-
[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
calculate which number after an increase of 36%, is 170
Hello there I hope you are having a Great day, Percentage increase = 36% × 170 = 36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)
A magazine collects these data measuring the battery life , in hours , of a sample of MP3 players : 5.7, 6, 6.1, 6.5, 6.8, 7.1, 7.4, 7.6, 8.1, 8.2 About how long does an MP3 player in the 50th percentile play ?
Answer:
the answer is 6.8
Step-by-step explanation:
The computation is shown below:
Since we have to determined the 50th percentile play
So,
= 50(nth value) ÷ number of observations
= 50(nth value) ÷ 10
= 5th value
= 6.8
Hence the answer is 6.8
The same is to be considered and relevant
What is the product of 4 square root 6 and 7 square root 18 in simplest radical form
Answer:
28√108
Step-by-step explanation:
4√6 * 7√18
28√108
Thank You
Hope u understand
Please mark as brainliest
Plz slove if you can!
Can you find x?
Answer:
x=19 degree
2x=2*19
=38 degree
Step-by-step explanation:
Please help!
At Jefferson Middle School, 84 seventh-grade students have been to the zoo.This number is 75% of the total number of seventh-grade students. What is
the total number of seventh-grade students at Jefferson Middle School?
Answer:
Step-by-step explanation:63
Find the volume of the solid that is created when you rotate the figure around the line: round to the nearest hundredth (two decimal places)
Answer:5
Step-by-step explanation:
Which box plot represents a data set with a lower quartile of 24 and an upper quartile of 42?
24
30 34
40 42
18
36 42 50
34
18 26 34 42 50 58 66 74 82 90
16 20 24 28 32 36 40 44 48
12
92
12 24 32 42
60
36 42 50
TT
10 20 30 40 50 60 70 80 90 100
0 8 16 24 32 40 48 56 64 72
Option D represents a data set with a lower quartile of 24 and an upper quartile of 42.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, the second quartile (also called median) is approximately in mid of the data.
The third quartile has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in the assumption that data were arranged increasingly from left to right
Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D.
Learn more about quartiles here:
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Rishan is building a number 3091 using Place-value blocks. There are no thousands block. How many hundreds blocks can he use instead?
Given:
The number is 3091.
To find:
The number of hundreds blocks if there are no thousands block.
Solution:
The given number is 3091.
It can be written as:
[tex]3091=3000+0+90+1[/tex]
[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]
[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]
There are no thousands block. So,
[tex]3000=30\times 100[/tex]
[tex]3000=30\ Hundreds[/tex]
Therefore, the number of hundreds blocks in 3091 is 30.
subtract 5 1/8 from 3 3/4
Answer:
-2 5/8
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
3-5=-2
6/8-1/8=5/8
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
с
DF
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Answer:
0.29
Step-by-step explanation:
Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35
Frequency of grade B = 10
Probability = required outcome / Total possible outcomes
Required outcome = frequency of grade B = 10
Total possible outcomes = total grade frequency = 35
P(B) = 10 / 35
P(B) = 0.2857
P(B) = 0.29
Triangle XY Z has vertices X = (5, -1), Y = (1, 4), and Z=
(-8,0). Triangle X'Y'Z' is formed when triangle XYZ is
reflected over the y-axis. What are the coordinates of
triangle X'Y'Z'?
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
X (5, - 1 ) → X' (- 5, - 1 )
Y (1, 4 ) → Y' (- 1, 4 )
Z (- 8, 0 ) → Z' (8, 0 )
25x2 – 9y2
Factories
Answer:
Step-by-step explanation:
25x^2-9y^2
=(5x)^2-(3y)^2
=(5x-3y)(5y+3y)
Answer:
=2(25×-9y) okay na po bayan
How do you write 0.0006363 in scientific notation?
Answer:
Step-by-step explanation:
Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have
[tex]6.363*10^{-4[/tex]
13.2 Area of Triangles
2. Find the area of the triangle.
14 ft
17 ft
Answer:
119
Step-by-step explanation:
Answer:
question 1 is, the area is 119
question two is, the base length is 18
Step-by-step explanation:
PART ONE
To figure this out we need to know that to find the area the equation is A=1/2bh so lets create our equation
A=1/2(17)(14)
A=1/2(238)
A=119
119 is your area
PART TWO
to find out the length we need to basically reverse what we did in the first part
270*2=540
540 divided by 30 (the height)=18
18 is the base length
to show it is correct we can use these numbers to find the answer
A=1/2(18)(30)
A=1/2(540)
A=270
what is the missing side-
Answer:
did u try looking it up lol?
Step-by-step explanation:
Which of the following linear equations has the steepest slope?
Answer:
b
Step-by-step explanation:
Find the roots of the following function:
y = x2 − 7x − 30
Answer:
x = 3, −10
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
What is the sum of interior angles of a 53-gon? Type just the number, no words, letters, or symbols
Answer:
S = 9180°
Step-by-step explanation:
Given the following data;
Number of sides = 53
To find the sum of interior angles of a 53-gon;
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sum of the interior angles
Substituting into the formula, we have;
S = 180(53 - 2)
S = 180 * 51
S = 9180°
Find the area of the triangle. b 22 in h 4 1/2 in.
Answer:
22 times 4 1/2 divided by 2
find the surface area asap i’ll give brainliest
Answer:
The surface area of the prism is 544 in²
Step-by-step explanation:
Given;
base of the triangular prism, b = 12 in
side length, = 10 in and 14 in
height = 8 in
The surface area is calculated as follows;
S.A = 2(area of the triangular face) + area of the rectangualr faces
S.A = 2( ¹/₂ x 12 x 8) + 2(14 x 10) + 14 x 12
S.A = (96) + 2(140) + (168)
S.A = 96 + 280 + 168
S.A = 544 in²
Therefore, the surface area is 544 in²
plz help i beg uu. Will give branliest
Ana ganha 1200,00 reais em seu trabalho, se ela gastar um quinto em comida e dois terços do que sobrar em aluguel, quanto sobra, ou falta?
Answer:
Ana fica com a quantia de 560
Step-by-step explanation:
Dado
Ana ganha = 1200
Ela gasta um quinto com comida e dois terços do que resta com o aluguel
Valor que sobrou com Ana depois de gastar com comida e aluguel
1200 - 1/5 (1200) - 1/3 (1200)
1200 - 240 -400
1200 -640
560
Ana fica com a quantia de 560
Which of the following best describes a basic postulate of Euclidean
geometry?
O A. A circle measures 360°.
B. A circle can be drawn with any center and radius.
C. All lines continue indefinitely
D. All isosceles right triangles are similar.
Which relation is a function?
Answer:
C
Step-by-step explanation:
if you don't have from same x different outcomes is a function
think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)
A. not a function because (6, -3) and (6, 3)
B. not a function because (4,7) and (4,2)
C. is a function
D. not a function because (2, -1) (2,1) (2,3)