Let k be the scale factor relating two similar prisms
and
, such that for corresponding parts of prisms
and
(for heights, in particular) we have
. In our case
.
For surfaces area we have
.
So, the right answer is 4:25 (choice B)
This question calls for a fraction. In a fraction, the numerator (top number) is the number of parts, while the denominator (bottom number) is the total number of parts. One part is one glass of milk, and there are 12 parts total. So, we get the answer 1/12.
Answer: 1/12
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply 
by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!
<h3>
Answer: n+15</h3>
=======================================================
Explanation:
- n = number of minutes
- cost of company X = 3n+30
- cost of company Y = 2n+15
To find out how much more company X charges, we subtract the two cost expressions
CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.
--------------
An example:
Let's say you talk on the phone for n = 20 minutes.
Company X would charge you 3n+30 = 3*20+30 = 90 cents
Company Y would charge you 2n+15 = 2*20+15 = 55 cents
The difference of which is 90-55 = 35 cents.
If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.
This example helps confirm the answer. I'll let you try out other examples.
You can draw vertical line, and get 2 rectangles.
1) First one with sides 2 and 7.
2) Second one with sides 1 and (5-2) = 3, 1 and 3.
3) Area of the first one =2*7=14 units²
4)Area of the second one = 1*3=3 units²
5) Area of the whole polygon = 14+3=17 units²
Answer C. 17units².
