Answer: 6/5
Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.
Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25
Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150
Surface area of a 5cm cube = 150
Volume is length times width times height:
= 5 x 5 x 5
= 125
Ratio of surface area to volume:
= 150/125
= 6/5
Answer:
Graph 1: Consistent Dependent
Graph 2: Consistent Independent
Graph 3: Consistent Dependent
Graph 4: Inconsistent
Step-by-step explanation:
Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.
If they are the system that has one solution they are considered independent.
If they are the system that has infinitely many solutions then are considered dependent.
Inconsistent means they won't intersect at all.
First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.
Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.
Third graph shows the same description of graph one and is therefore a consistent dependent system.
The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.
Answer:
3rd
Step-by-step explanation:
Answer:
<em>1. </em><em>B. $20</em>
<em>2.</em><em>C. 19%</em>
<em>3. </em>D. not here
Step-by-step explanation:
1. info we know
25+45+10+25+15+10 = 130
we need 20 more dollars
2. 25/130 x/100
cross multiply
2500/ 130x
divide
19 = x
3. same steps as last time
35/130 x/100
3500/130x
29%
Answer:
Part a) The expression is 
Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
Step-by-step explanation:
<u><em>The complete question is</em></u>
A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.
Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams
Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain
step 1
Convert grams to ounces
Remember that
To convert grams to ounces divide by 28
The unit price is
Let
x ----> the number of ounces of paprika
y ----> the cost of buying and shipping x ounces of paprika
5%=5/100=0.05
![y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x](https://tex.z-dn.net/?f=y%3D3.09x%2B%283.09x%290.05%5C%5Cy%3D3.09x%5B1%2B0.05%5D%5C%5Cy%3D3.2445x)
Part b) For x=2.5 oz
substitute in the equation
therefore
Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
