Answer:
C
Step-by-step explanation:
You have to divide both sides by the coefficient of x
Answer:
(0, -2)
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-3y = 6 - 2x
y = -2 - 2/3x
Step 2: Find y-int
y = -2 -2/3(0)
y = -2
(0, -2)
This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
10c=3c+21
To make c the subject we begin by subtracting 3c from both sides
10c-3c=3c+21-3c
7c=21
dividing both sides by 7 we get:
(7c)/7=21/7
c=3
The answer is c=3
Answer:
Earl should order 76 yellow paper reams and 24 white paper reams.
Step-by-step explanation:
This problem can be computed as system of equations.
I will say that x is the number of yellow paper reams and that y is the number of white paper reams.
Earl will order 100 reams in total, so
x + y = 100
He has a budget of $484, so this is what he is going to spend. Each yellow paper ream(x) costs $4.00 and each white paper ream costs $7.50, so we know that
4x + 7.5y = 484
To know how many reams of each color should he order, we need to solve the following system of equations
1) x + y = 100
2) 4x + 7.5y = 484
I am going to write x as a function of y in equation 1), and then replace it in equation 2).
x = 100-y
Now replacing in equation 2)
4(100-y) + 7.5y = 484
400 - 4y + 7.5y = 484
3.5y = 84
y = 24.
Returning to equation 1)
x = 100-y = 100-24 = 76
So, Earl should order 76 yellow paper reams and 24 white paper reams.
