On average Exante Express trains are 50km/hr faster than Paral passenger trains. A Paral passenger train requires 60% more time then Exante train to travel 1800 km from Matsay to Rawindi. Calculate average speed of each train. Calculate time it takes for each train for the journey.

Answers

Answer 1

Answer: $V- average\ speed\ of\ Exante\ Express\ train\nt-travel\ time\ of\ Exante\ Express\ train \n \nV= (S)/(t) \ \ \ \ and\ \ \ V-50= (S)/(t+60\%t) = (S)/(1.6t)\ \ \ \ and\ \ \ S=1800\n \nV= (1800)/(t) \ \ \ and\ \ \ V-50=(1800)/(1.6t)\ \ \ \Rightarrow\ \ \ (1800)/(t)-50= (1125)/(t) \ /\cdot t\n \n1800-50 t=1125\ \ \ \Rightarrow\ \ \ 50t=1800-1125\ \ \ \Rightarrow\ \ \ 50t=675\ /:50\n \nt=13.5\ [h]=13\ [h]\ 30\ [min]\n\n1.6t=21.6\ [h]=21\ [h]+ 0.6\cdot60\ [min]=21\ [h]\ 36\ [min]$

$V= (1800)/(t) =(1800)/(13,5) =133 (1)/(3) \ [km/h]\approx133.3\ [km/h]\n\nV-50\approx83.3\ [km/h]$

$Ans.\n average\ speed\ of\ Exante\ Express\ train\ is\ 133.3\ km/h,\ntravel\ time\ of\ Exante\ Express\ train\ is\ 13\ h\ 30\ min;\naverage\ speed\ of\ Paral \ passenger \ train\ is\ 83.3\ km/h,\ntravel\ time\ of\ Paral \ passenger\ train\ is\ 21\ h\ 36\ min$

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The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a kiwi?A) 22 inches

B) 27 inches

C) 44 inches

D) 66 inches

Answers

If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The height of an ostrich is 20 inches more than 4 times the height of a kiwi.

Let y be the height of the ostrich and x be the height of a kiwi. Then the equation is given as,

y = 4x + 20

If an ostrich is 108 inches tall. Then the height of the kiwi will be

108 = 4x + 20

4x = 88

x = 22

If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.

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h=height of ostrich
k=height of kiwi
h is 20 more than 4 times k
k=20+4k

k=108
108=20+4k
minus 20 from both sides
88=4k
divide both sides by 4
22=k

answer is A

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

One
Two
Three
Four

Answers

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

$f(x)=-(11)/(3)x+ (11)/(3)$

$g(x)=x^(3)+2x^(2)-x-2$

To solve the system of equations equate f(x) and g(x)

$f(x)=g(x)$

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

$x=1$

There is only one point of intersection both graphs

therefore

The total number of solutions is one

Answer:

the answer is One

Step-by-step explanation:

A solution is where the two lines intersect on the graph, and as you can see, in the picture above, the two lines only intersect once

ten brothers receive 100 gold coins between them . Each brother receives a constant number more than the next oldest . The seventh oldest brother receives 7 gold coins . How much does each brother receive ? Show all your calculations

Answers

let's set 'a' as the coins the first brother recieves (the youngest) and for every older brother, we will add 'x' (the constant number)
Since we know the sum has to be equal to 100, our equation is:
100=a+(a+x)+(a+2x)+(a+3x)+...+(a+8x)+(a+9x)

the 7th oldest brother is the 3rd youngest, therefore, if we look at our equation, he gets (a+2x) - we know now that 7=a+2x

We can now simplify the first equation by summing up our 'x' and 'a'
we get: 100=10a+45x

In order to resolve the equation (since we have 2 variables), we can use the subtraction method

100=10a+45x
-10(7=a+2x)

100=10a+45x
-(70=10a+20x)

30=25x
1.2 = x

and for 'a' -> 7 = a +2(1.2)
a=4.6

Therefore, the youngest gets 4.6 coins (a), the second 5.8 (a+x) ...

Final answer:

The question involves arithmetic sequences. The first brother gets 5.5 gold coins with subsequent brothers getting 1 more coin than the brother before them. This gradually increases to the tenth brother who gets 14.5 gold coins.

Explanation:

This problem involves the concept of arithmetic sequences where each term is a constant amount different from the previous term. Given the seventh oldest brother receives 7 gold coins, we can denote the amount of money the first brother gets as x. The increment in each sequential brother's amount is then 1.

Firstly, denote the amount of money the first brother gets as x. Since each subsequent brother gets 1 more gold coin, we can denote the amount the other brothers receive as follows: x, x+1, x+2, ..., x+6 (for the seventh brother), ..., x+9 (for the tenth brother).

As the problem states that the total gold the brothers receive is 100, you would set up the equation: 10x + 45 = 100, where 45 is the sum of the increments from 1 to 9. Solving this equation for x, we get x=5.5. This means the first brother received 5.5 gold coins and each subsequent brother received 1 more than his immediate predecessor.

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What is the answer to 2/3[(15-6)-8(8+1)]

Answers

Calculate the brackets:
$(2)/(3)[ 9- 8 *9] = (2)/(3) (9-72) = (2)/(3) (-63) = 2*(-21) = \boxed {-42} <--answer$

The Hamilton Brush Company issued 2,500 shares of common stock worth 100,000.00 total. What is par value of each share?

Answers

51. The Hamilton brush Company issued 2 500 shares.The total stock worth is 100 000.Now, the question here is what is the par value of each share?meaning, if wea re going to divide the 100 000 total amount, how much will it cost for each share.=> Divide 100 000 by 2 500=> 100 000 / 2 500=> 40, thus each shares has a par value of 40 in total

Round number to the place of the ungerline digit 6333 under line is 6

Answers

When you round you look at the number to it's left. In this case it is 3. If the number is 4 and below you change it and all other number to its left to 0. If the number is 5 or more you add 1 to the number to its right then change all to its left to 0. In this case the number to the left of 6 is 3, 3 is lest than 4 so it will be 6000

Final answer:

In the number 6333, rounding to the place of the underlined digit (6) results in the number 6000, as the digit next to the 6 is less than 5.

Explanation:

In the number 6333, when we are asked to round to the place of the underlined digit - in this case, the 6 - we need to look at the next digit to the right, which is 3.

Since this digit is less than 5, when we round to the thousands place (the place of the 6), it remains the same, leading our rounded number to be 6000.

Remember rounding rules: 5 or more, we round up, and less than 5 we round down.

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Miguel’s steps in evaluating an expression are given below. 32 ÷ 2(23 – 4) Step 1: = 32 ÷ 2(8 – 4) Step 2: = 32 ÷ 2(4) Step 3: = 32 ÷ 8 Step 4: = 4 What, if any, was Miguel’s mistake?

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