Part
A:
<span>In
the expression given, 65 + 15w + 25m: 65 =
constant; 15 and 25 = coefficients; w and m = variables.</span>
Thus,
to define:
Constant
is a number which the value is already fixed.
Variable
is the unknown value in the algebraic expression.
Coefficient
is a number which is placed before a variable that indicates how many times the
variable is to be multiplied.
65 + 15w + 25m
65 = 15 (1) + 25 (2)
Part
B:
Let
x be the savings account balance
W
= # of weeks
M
= frequency of mowing the lawn
First,
let’s use the expression given above: 15w + 25m.
Since we are solving for a
constant, only the variables and coefficient of the expression given are to be
used.
Then,
we substitute the variables’ corresponding values.
X
= 15 (20) + 25 (3)
Therefore,
the savings deposits will amount to:
X
= 300 + 75
X
= $375
Part
C:
$75
+ w + 3m
Constant
will be $75.
Variables:
w = no weekly deposit, m = 3
Coefficients:
w = 1, m = remains at 25
This is because we need to adjust the variables and coefficients to solve for the constant.
First, let's use distributive property and expand this equation:
<span>0.25 (y-4)+0.07=0.22y-0.05 (60)
</span>0.25y - 1 + 0.07= 0.22y - 3
Now, isolate the values of y and solve!
0.25y - 1 + 0.07= 0.22y - 3
0.25y - 0.22y = 1 - 0.07 - 3
0.03y = -2.07
y = -69
Hope this helps!
Message me if you have any questions :)
It's increasing cause it's going higher if it's decreasing it's going lower
The surface area formula for any sphere is 4(pi)(radius)^2
The radius is half of the diameter.
18.6 / 2 = 9.3
So, plug into the formula and solve.
4(3.14)(9.3)^2 = 1086.3 mm^2
If the outliers are not included, what is the mean of the data? 76,79,80,82,50,78,83,79,81,82.
natta225 [31]
50 is the only outlier so take 50 out of the set then add the other 9 data points and divide by 9.<span>
76 + 79 + 80 + 82 + 78 + 83 + 79 + 81 + 82 = 720 / 9 = 80</span>