Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...
_____
The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
Answer:
40 Tickets
80 Tickets
Step-by-step explanation:
To find how many tickets it will take to break even, we use the formula:
Our variables are:
Fixed Cost = $200
Sales Price = $10
Variable Cost = $5
Let's plug in our values into the formula.
So the class needs to sell a total of 40 Tickets to break even.
Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.
Number of tickets for $200 profit = 40 x 2
Number of tickets for $200 profit = 80 Tickets.
So the class needs to sell 80 Tickets to make a $200 Profit.
Answer:
More than 10% of Gillway students earned honors.
Step-by-step explanation:
<u>Step 1: Find the number of students who earned honors</u>
43 + 17 = 60
<u>Step 2: Find the total number of students</u>
381 + 108 = 489
<u>Step 3: Find the percentage of students who earned honors</u>
Students who earned honors/Total students x 100
60/489 x 100
12.27%
<u>Step 4: Find the correct answer</u>
Just under 11% of Gillway students earned honors.
<em>This is incorrect since the percentage is more than 11%.</em>
Just over 11% of Gillway students earned honors.
<em>This is incorrect as just over 11% would mean somewhere between 11 and 12% whereas the actual percentage is just over 12%.</em>
More than 10% of Gillway students earned honors.
<u><em>This is correct as compared to all other statements since 12.27% is more than 10%.</em></u>
Almost 11% of Gillway students earned honors.
<em>This is incorrect since almost 11% means less than 11% whereas the actual percentage is more than 11%.</em>
!!
Answer:
(-12,-6)
Step-by-step explanation:
