Answer:
<h2>y=x-2</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
the slope of the line is 1
and linear equation slope intercept form:
therefore our equation is
Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
Answer:
74.30
Step-by-step explanation:
Let s = entry price for a student
Let t = entry price for a teacher
4s +5t = 95
6s+10t = 173
I will use elimination to solve this problem.
Multiply the first equation by -2
-2(4s +5t) = -2*95
Distribute
-8s - 10t = -190
Add this equation to the second equation to eliminate t
-8s - 10t = -190
6s+10t = 173
----------------------
-2s = -17
Divide by -2
-2s/-2 = -17/-2
s = 8.50
Now we need to find t
4s +5t = 95
Substitute s=8.50
4(8.50) +5(t) = 95
34 +5t = 95
Subtract 34 from each side
34-34 +5t = 95-34
5t = 61
Divide by 5
5t/5 = 61/5
t = 12.20
We want to find the cost for 3 students and 4 teachers
3s+4t
3(8.50) + 4(12.20)
25.50 + 48.80
74.30
Answer:
x=19
Step-by-step explanation:
To find this we need to find the simplest form of y and x
Chart:
----------------------------------------------------------------------------------------------------------------Y | 45 |
X | 15 |
----------------------------------------------------------------------------------------------------------------
To find the simplest form divide both sides with their gcf which is right now 15 so divide by 15: For y 15 divided by 45 is 3, for x 15 divided by 15 is one so the graph looks like this:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 |
X | 15 | 1 |
----------------------------------------------------------------------------------------------------------------
So now we know this fact we can just divide 57 by 3
(We need to divide it to see how many times does it take for 3 to get to 57 and we can use that number to multiply it with 1 and only one since when y is 3 x is 1.)
57 divided by 3 is 19
So we multiply 19 with 1 which is 19
So x is 19
Graph:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 | 57 |
X | 15 | 1 | 19 |
----------------------------------------------------------------------------------------------------------------
Hope this helps!
