Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.
Answer:
Step-by-step explanation:
2y^4 x 5y^3 = 10y^7
3gh^2 x 4g^3h^3 = 12g^4h^5
-2y = 48 + 6x
-6x - 2y = 48 ——(1)
-6x + 9y = -84
-6x = -84 -9y ——(2)
Substitute (2) into (1):
(-84 -9y) -2y = 48
-84 -9y -2y = 48
-84 -11y = 48
-11y = 48 + 84
-11y = 132
y = - 12
Substitute y = -12 into (1):
-6x -2(-12) = 48
-6x + 24 = 48
-6x = 48 -24
-6x = 24
X = -4
ANS : y= -12, x= -4
Answer:
y = 3/8 x
Step-by-step explanation:
the smaller the number the steeper the graph
Answer:
The GCF of 27 and 45 is 9.
Step-by-step explanation:
Factors of 27: 1, 3, 9
Factors of 45: 1, 3, 5, 9, 15
The biggest number in both is 9 so the GCF is 9
