A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:
AB = x+ 8
Step-by-step explanation:
Given : QS=6x and CS=5x-8
From the given figure,
QS = QC + CS
We are given with QS and CS
Replace it the above equation
6x = QC + 5x -8
Solve for QC
Subtract 5x on both sides
x = QC + -8
Add 8 on both sodes
QC= x + 8
QABC is a rectangle
QC = AB
So AB = x+ 8
The correct axis of symmetry is x = -1.
Explanation:
Our equation is

.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Answer:
48%
Step-by-step explanation:
(24/50)2
= 48/100
= 48%
Answer:
81
Step-by-step explanation:
2x+6=84
2x=78
81
find your own way