Answer:
There are 37 white marbles.
Step-by-step explanation:
Let the white marbles be represented as w.
Let the yellow marbles be represented as y.
The bag contains both white marbles and yellow marbles which add up to 46 marbles. This means that:
y + w = 46 ___________(1)
The number of white marbles is 1 more than 4 times the number of yellow marbles. This means that:
w = 1 + 4y ___________(2)
First, we find y by putting (2) in (1), thereafter, we find w:
=> y + 1 + 4y = 46
y + 4y = 46 - 1
5y = 45
y = 45 / 5 = 9 marbles
=> w = 1 + 4(9)
w = 1 + 36 = 37 marbles
There are 37 white marbles.
The largest area possible for the garden is 364.5 ft²
The width that will produce the maximum area is 13.5 ft
The length that will produce the maximum area is 27 ft
<h3>Area of a rectangle:</h3>
where
l = length
w = width
Only three sides need to be enclosed because one side is bordered by the parking lot. Therefore,
perimeter = l + 2w
54 = l + 2w
l = 54 - 2w
Therefore,
area = (54 - 2w)w
(54 - 2w)w = 0
w = 0 or 27
average = 27 /2 = 13.5
Hence, the max area is at w = 13.5 meters
Therefore,
l = 54 - 2(13.5) = 27 ft
length = 27 ft
width = 13.5 ft
Therefore,
area = 27 × 13.5 = 364.5 ft²
Therefore, the largest area possible for the garden is 364.5 ft²
learn more on rectangle here: brainly.com/question/11630499
Answer:
17.5%
Step-by-step explanation:
=22÷126
=0.1746 or 0.175
to convert into percentages= 0.175x100℅
=17.5%
Answer:
x = 2
Step-by-step explanation:
the equation of the line can be found using the slope intercept form
y = mx +b
y= -3/2 x + 3
x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so
0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would
-3 = -3/2 x (divide by -3/2 on both sides to cancel out the -3/2)
x = 2