$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d
$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11
n = 27 - 11
n = 16
$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:
M - P = 3/4(Q - P)
For the x-coordinate, we have that:
x + 6 = 3/4(2 + 6)
x + 6 = 6
x = 0.
For the y-coordinate, we have that:
y + 5 = 3/4(7 + 5)
y + 5 = 9.
y = 4.
The coordinates are (0,4).
More can be learned about proportions at brainly.com/question/24372153
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To take out terms outside the radical we need to divide the power of the term by the index of the radical; the quotient will be the power of the term outside the radical, and the remainder will be the power of the term inside the radical.
First, lets factor 8:
Now we can divide the power of the term, 3, by the index of the radical 2:

= 1 with a remainder of 1
Next, lets do the same for our second term

:

= 3 with a remainder of 1
Again, lets do the same for our third term

:

with no remainder, so this term will come out completely.
Finally, lets take our terms out of the radical:

We can conclude that the correct answer is the third one.
Answer:
y=-1
Step-by-step explanation:
use point slope formula y-y₁=m(x-x₁)
find m which is slope -1--1/-4--1= 0/-3= 0
plug in the equation and use the first point
y--1=0(x--1)
y=-1
Answer:
KM
Step-by-step explanation: