Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = x + 9
Let the third number = 4x
Together they make 123
x + x + 9 + 4x = 123 combine the left
6x + 9 = 123 Subtract 9 from both sides
6x = 123 - 9
6x = 114 Divide by 6
x = 114/6
x = 19
=================
First number = 19
Second number = 19 + 9 = 28
Third number = 4*19 = 76
Answer: 272
Step-by-step explanation:
Let a1=11
a2=20
a3=29
Formula for sequence=
an=a1+(n-1)d
an = nth term
a1= first term
n= nth position
d= common difference
We are looking for the 30th term,so our n=30
d= a2-a1
d= 20-11
d= 9
Using the formula
an= a1+(n-1)d
a30= 11+(30-1)9
a30= 11+(29)9
a30= 11+(29×9)
a30= 11+261
a30= 272
Therefore, the 30th term is 272
Answer:
3/5 is 60/100 in it's simplest form.
Step-by-step explanation:
60 divided by 20 is 3 and 100 divided by 20 is 5.
So 3/5
Answer:
A) (-3, 5)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
The solution set to any systems of equations is where the 2 lines intersect. According to the graph, we see that the 2 lines intersect at (-3, 5). Therefore, our answer is A.
Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6