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Georgia [21]
1 year ago
12

23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in

1.2 h at an average speed of 100 km/h. What was the total time taken for the whole journey?​

Mathematics
1 answer:
Sonja [21]1 year ago
3 0

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

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the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

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3 years ago
What is the slope of this line??
tamaranim1 [39]
-6/7 because it’s rise over run, we are going down so it’s negative, 10 down and 9 to the left which is -0.9 and -6/7 it’s -0.857 and if we round this number we have -0.9 left
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3 years ago
Which statement is true about the value of StartAbsoluteValue 6 EndAbsoluteValue?
liubo4ka [24]
Can you give more information about this question?
3 0
3 years ago
Read 2 more answers
John Sells Hamburgers For $3 Each and cheeseburgers for $3.50 each. One afternoon, he sells a total of 24 burgers for $79. How M
Alexxx [7]
Let the hamburgers be x and cheese burgers be y.

x + y = 24
3x + 3.5 y = 79

x = 24 - y.

Substituting the value of x,

3( 24 - y) + 3.5 y = 79

 72- 3y + 3.5 y = 79
72 + 0.5 y = 79

0.5y = 79 - 72 = 7
1/2 y = 7

thus, y = 7 * 2 = 14

Substituting the value for x,

x + y = 24
x + 14 = 24
x = 24-14 = 10
Thus, x = 10.

Thus, she sold 10 hamburgers and 14 cheeseburgers 
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3 years ago
PLEASE HELP ALMOST FINISHING ALBERA 1 PUT I NEED YOUR HELP PLEASE I BEG YOU BRAINLEST ANSWER!!!
tester [92]
59  is D 
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60 is C
same as above, you do the algebra of the equation. bring the one over after doing distribution with the 4 and voila!


61 is A
a relatively easy one, all you do is the the slope -4 where m goes, and 3 where b goes. y= -4x+3


62 is C.
this one requires more work.
chose one of the points, in this case (2,7) and put them into the equation. 
but wait, you need a slope! 
you get that use the formula (y2-y1)/(x2-x1) which will be
(7-5)/(2-3) which will be
-2.
now you have y-7= -2(x-2)
voila!



63 is  C.   y= 1/2x+3

64 is B. (3, -5)

66 is B. negative. the line  goes \ ( not / which is positive)

67 would be A. because it is positive and the I and the E are in the right places.


70 is C.  2/3.   as before, remember we can but the points into this equation and have (6-4)/(3-0) which = 2/3


71  is D.  y= 3x+10

72 is C. a third degree monomial

73 can't read


74 can't read 
 
75 can't read.

 
4 0
2 years ago
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