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.
Answer:
x=4
Step-by-step explanation:
Hey there!
I am going to use this image as an example so you can understand the formula
The formula for problems like these is
B(BA)=D(DC)
So all we have to do is plug in the numeric values
so now we have 5(5+x+3)=6(6+x)
now we just solve for x
5(5+x+3)=6(6+x)
step 1 distribute the 5 to what is in the parenthesis (5, x and 3)
5x5=25
5*x=5x
5x3=15
so now we have
25+5x+15=6(6+x)
step 2 distribute the 6 to what is in the parenthesis (6 and x)
6x6=36
6*x=6x
now we have
25+5x+15=6x=36
step 3 combine like terms, the only like terms are 25 and 15
15+25=40
now we have
40+5x=6x+36
step 4 subtract 5x from each side
5x-5x cancels out
6x-5x=x
now we have
40=x+36
step 5 subtract 36 from each side
40-36=4
36-36 cancels out
now we have
x=4 so we can conclude that x=4
hope this helps :)
Answer:
The percent equation states that the part equals the percent multiplied by the whole number.
We Know that
For a function to have an inverse function, it must be one-to-one—that
is, it must pass the Horizontal Line Test.
1. On the interval [–pi/2, pi/2], the function
y = sin x is
increasing
2. On the interval [–pi/2, pi/2], y = sin x takes on its full
range of values, [–1, 1]
3. On the interval [–pi/2, pi/2], y = sin x is
one-to-one
sin x has an inverse function
on this interval [–pi/2, pi/2]
On the restricted domain [–pi/2, pi/2] y = sin x has a
unique inverse function called the inverse sine function. <span>f(x) = sin−1(x)
</span>the range of y=sin x in the domain [–pi/2, pi/2] is [-1,1]
the range of y=sin-1 x in the domain [-1,1] is [–pi/2, pi/2]
1. On the interval [0, pi], the function y = cos x is decreasing
2. On the interval [0, pi], y = cos x takes on its full range of values, [–1, 1]
3. On the interval [0, pi], y = cos x is one-to-one
cos x has an inverse function on this interval [0, pi]
On the restricted domain [0, pi] y = cos x has a unique inverse function called the inverse sine function. f(x) = cos−1(x)
the range of y=cos x in the domain [0, pi] is [-1,1]
the range of y=cos-1 x in the domain [-1,1] is [0, pi]
the answer is
<span>the values of the range are different because the domain in which the inverse function exists are different</span>
Answer:
B 14/25(56.00%)
Step-by-step explanation:
167+57=224, which means 224/400(56.00%) people would have brown or hazel eyes. 224/400 is also equivilant to 14/25