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.
~kites have adjacent sides equal~
x = 3x-12
move 3x to the other side as a negative number
-2x = -12
divide both sides by -2
-12 divided by -2 is 6
so, x is equal to 6
but, we aren't done yet because the questions asks for the value of angle b
substitute the value we found into the equation for angle b
3(6)-12
36-12
24
so, angle b has a value of 24 degrees
Answer:
(x - 6)^2 + (y + 4)^2 = 4
Step-by-step explanation:
formula for a circle
( x - h )^2 + ( y - k )^2 = r^2
(h,k) is the center
r is the radius
(6,-4) is center
2 is radius
Substitute in numbers and watch the negatives.
Answer: Yana has 8 bathing suits.
Step-by-step explanation: Given that the ratio of Dina’s bathing suits to Yana’s bathing suits was 4 : 1 and Dina has 24 more bathing suits than Yana.
We are to find the number of bathing suits that Yana has.
Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.
Then, according to the given information, we have
Therefore, the number of bathing suits that Yana has is given by
Thus, Yana has 8 bathing suits.
Answer:
Step-by-step explanation:
19.5 - 5.5 = 14
14 / 7 > = <u>2</u> hours per day
