The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7
(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos
(because 5280 has 3 significant digits)
All you have to do is substitute the y value from the 1st equation into the second equation and solve...
a) y= 2-x
5x + 4y = 5
Substitute (2-x) into the second equation anywhere there is a y...
5x + 4y = 5
5x + 4(2-x) = 5
Now solve
5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3
Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...
y = 2 - x
y = 2 - (-3)
y = 2+3 = 5
You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).
Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...
y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5
True statement... it checks!
note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.
Answer:
x+24<100
Step-by-step explanation:
