Answer:

Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.


Substitute,

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

Inverse operations,

3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).


Substitute,


The number of significant figures in the numbers are
- 100 cm = 1 significant digit
- 0.006700 cm = 2 significant digits
- 450. cm = 3 significant digits
<h3>How to determine the number of significant figures in the following numbers?</h3>
As a general rule, the zeros before and after the non-zero figures are not significant.
Using the above rule, we have:
- 100 cm = 1 significant digit
- 0.006700 cm = 2 significant digits
- 450. cm = 3 significant digits
<h3>
How to round the following numbers to the correct number of significant figures</h3>
Using the above rule in (a), we have:
- 123g to show 1 sig fig = 100 g
- 0.19851m to show 2 sig figs = 0.2 m
- 0.0057034L to show 3 sig figs = 0.005703 L
<h3>How to report the following answers with correct significant figures</h3>
We have:
(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures
67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures
<h3>How to convert the following metric to metric</h3>
450mL = 0.45 L
because 1 mL = 0.001 L
2.3 dm = 0.00023 km
because 1 dm = 0.0001 km
0.120cg = 1.2 mg
because 1 cg = 10 mg
6700L = 670000 cL
because 1 L = 100 cL
<h3>How to convert the following metric</h3>
a. 2.34miles = 3.76 km (1mile = 1.61km) -- given
b. 5.3ft = 161.544 cm(2.54cm = 1 in)
Because 1 ft = 30.48 cm
Read more about significant figures at:
brainly.com/question/24491627
#SPJ1
Answer:
A.111.11 repeating
B.25.85
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
Given That :
Operation cost = $2250 per month
Purchase price per bike = $40
Average selling price per bike = $70
How many bicycles must the store sell each month to break even ;
Break even point = point at which there is net profit / loss = 0
Let number of bicycles store must sell = x
Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles
2250 + 40x = 70x
2250 = 70x - 40x
2250 = 30x
x = 2250 / 30
x = 75
To break even 75 bicycles must be sold
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h