Let the length of the 2 equal pieces be x m. Then the length of the third piece = 0.25x m.
So we have the equation:-
2x + 0.25x = 54
x = 54 / 2.25 = 24
So the length of the 3 pieces are 24,24 and 6 meters.
answer: 321
work: factors are two numbers that are multiplied together to equal another number. so, the other factor is whatever the result of 9309/29 is. 9309/29= 321. so, the other factor is 321.
Answer:
0.398
Step-by-step explanation:
From clue 3, we know that the three numbers average to 15. This means we add up the three numbers x,y and z and divide by 3 to get 15. So one equation is (x+y+z)/3 = 15 which turns into x+y+z = 45 after multiplying both sides by 3.
Let's say that x < y < z. In other words x is the smallest number, y is the middle and z is the largest. Based on clue 2, this would tell us that z = 8*x (since largest is 8 times the smallest). We can replace the 'z' in the equation x+y+z = 45 with 8x like so
x+y+z = 45
x+y+8x = 45 ... replace z with 8x
9x+y = 45
Now onto clue #1. The smallest number x is a prime number and it is 1/6 times the size of the middle number y. Put another way, the middle number y is 6 times larger than the smallest number. We have this equation y = 6*x
9x+y = 45
9x+6x = 45 ... replace ywith 6x
15x = 45
x = 45/15
x = 3 which is a prime number
Now that we know x = 3, we can use it to find y
y = 6*x = 6*3 = 18
and then use x = 3 to find z
z = 8*x = 8*3 = 24
Therefore the three mystery numbers are 3, 18, and 24. Note how these three values add to 3+18+24 = 45 which you then divide over 3 to get 45/3 = 15. So the average of the values 3, 18, 24 is the number 15. This helps confirm the answer.
Answer:
x is 21°
Step-by-step explanation:
The angles formed between the transversal <em>t</em> and lines <em>m</em> and <em>n</em> are; (8·x - 7)°, and (9·x - 28)°
Based on the similar location the angles are formed by the transversal, <em>t</em>, and lines <em>m</em> and <em>n</em>, the angles are corresponding angles
Given that lines, <em>m</em> and <em>n</em> are parallel, we have the corresponding angles formed by the transversal, <em>t</em>, and the lines are equal, therefore;
(8·x - 7)° = (9·x - 28)°
Simplifying the above equation to make <em>x</em> the subject, we get
(28 - 7)° = 9·x - 8·x = x
∴ 21° = x
x = 21°.
