Answer:
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Step-by-step explanation:
(8x-22)=5x+29
We move all terms to the left:
(8x-22)-(5x+29)=0
We get rid of parentheses
8x-5x-22-29=0
We add all the numbers together, and all the variables
3x-51=0
We move all terms containing x to the left, all other terms to the right
3x=51
x=51/3
x=17
Given:
An athlete who makes
laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in
laps =
m
=
m
=
m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:



Therefore, the speed of the athlete is about 8.44 m/s.
Answer:
Hello! answer: x = 85
Step-by-step explanation:
Triangles add up to 180 degrees 27 + 68 = 95
180 - 95 = 85 therefore x = 85
Answer:
Obtuse triangle.
Step-by-step explanation:
Side a = 5
Side b = 2
Side c = 4
Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad
Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad
Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad
Since one angle is above 90 degrees, the triangle is obtuse triangle.
This cannot be an acute triangle.
Answer:
Hence, the system of equations that is used to represent the situation is:
23x+7y=94-----(1)
16x+14y=38------(2)
Step-by-step explanation:
Let x represent the amount of points received for a correct answer and y represent the amount of points for an incorrect answer.
- You’ve gotten 23 questions correct and only 7 wrong,giving you a total score of 94 points.
So, the equation formed is:
23x+7y=94
- Your friend, on the other hand, got 16 questions correct and 14 wrong for a total score of 38 points.
So, the equation formed is:
16x+14y=38
Hence, the system of equations that is used to represent the situation is:
23x+7y=94-----(1)
16x+14y=38------(2)