Answer:
x=34/5 y=6/5
Step-by-step explanation:
so first you need to isolate one variable in one equation
so lets use 3x-12y=6
3x=12y+6
x=4y+2
then, as the name implies, we substitute it into the second equation
3(4y+2)-7y=12
then we simplify
12y+6-7y=12
5y=6
y=6/5
then we plug it in to find x
3x-7(6/5)=12
3x-42/5=12
3x=102/5
x=34/5
check work
3(34/5)-12(6/5)=6
102/5-72/5=6
30/5=6
6=6
Answer: The value of Z is 14
Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.
However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;
3(X + 4) = X/2 + 37
3X + 12 = X/2 + 37
3X - X/2 = 37 - 12
(6X - X)/2 = 25
6X - X = 25 * 2
5X = 50
Divide both sides of the equation by 5
X = 10
Therefore, Z (X + 4) equals 10 + 4 which gives you 14
The value of Z = 14
Answer:
True
Step-by-step explanation:
Volume is calculated by length x width x height, so you just multiply the values. 6 x 7 x 9 = 378 cm^3.
Answer: 16
Step-by-step explanation:
72 is the record - 56 which the player has already scored = 16 points is what would be needed to tie the record
Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation: