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.
<u>Given</u>:
It is given that the figure of the cone.
The radius of the cone is 2.3 m.
The height of the cone is 15 m.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
where r is the radius and h is the height of the cone.
Substituting r = 2.3 and h = 15 in the above formula, we get;
Rounding off to the nearest hundredth, we get;
Thus, the volume of the cone is 83.05 cubic meters.
Answer:
A) 5
Step-by-step explanation:
(10sqrt(51)x)/(2sqrt(51)x)=5
ANSWER
B. 3 ft by 8 ft
EXPLANATION
The area is given as 24 square feet.
This implies that,
The perimeter of the rectangular field is given as 22 feet.
This implies that,
Or
We make w the subject in this last equation and put it inside the first equation.
When we substitute into the first equation we get;
This implies that,
When l=3, w=24
Therefore the dimension is 3 ft by 8 ft
Answer:
51 square units
Step-by-step explanation:
First you act like each side is it’s separate rectangle.
Then you would multiply 2 and 4 to get 8, the area of one of the sides. Then you would multiply 2 and 2.5 to get 5, the area of another side. Then 2.5 times 5 to get 12.5, the last side. Now sense every side has a side the same size of itself you would take each answer and multiply it by to to get 8x2=16, 5x2=10, and 12.5x2= 25. You would add together 16, 10, and 25 to get 51 square units, the surface area.
