Parenthesis according to the PEMDAS rule
So
7(x - 4) = 84
Would be
7x -28 = 84
Hope this helped :)
Answer:

Step-by-step explanation:
Solve for the value of
:

-Take
and subtract it from
:


-Subtract both sides and convert
to a fraction:


Since both
and
have the same denominator, then you would subtract the numerator:


-Multiply both sides by
, which is the reciprocal of
:



-Divide
by
:


So, therefore, the value of
is
.
Answer:
y= 3x+5
Step-by-step explanation:
start with the linear equation formula
y= mx+b
indentify what you already have.
x= -1 and y= 2 and m(slope)= 3
We are solving for b, so plug in what you have.
2= 3(-1)+b
Simplify.
2= -3+b
Add 3 on both sides.
5= b
Rewrite your equation with the x and y values.
y= 3x+5
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
Step-by-step explanation:
First, we need to find the unit rate for both. We do this by dividing the price they paid by the number of tickets they got.
47 / 3 = $15.66, which is the unit rate for Diego.
141 / 9 = $15.66, which is the unit rate for Andre.
They did pay at the same rate.
Now do the same thing buy with their gas.
15.12 / 8 = 1.89, which is the rate for Diego.
9.95 / 5 = 1.99, which is the rate for Andre.
They did not pay the same rate, Andre paid more by 10 cents per gallon.