Answer:
1/27
Step-by-step explanation:
The chance of getting X is ⅓. The chance of getting X then Y is ⅓², or ⅑. Finally, the chance of getting X, then Y, then Z is ⅓³, or 1/27
Question
Cable company A charges $45 a month for cable plus a $18 installation fee. Cable B charges $39 a month for cable plus a $30 fee for installation. Which inequality can be used to find out when the monthly cost for Cable company A is less than Cable company B?
a)39x+30<45x+18
b) 45x+18>39x+30
c) 45x+18<39x+30
d)39x+18<45x+30
Answer:
c) 45x+18<39x+30
Step-by-step explanation:
Step 1
We have to find the Algebraic expressions for the cable companies
Cable company A charges $45 a month for cable plus a $18 installation fee.
Let the number of months be represented as x
Hence, this is represented as:
$45 × x + $18
= 45x + 18
Cable B charges $39 a month for cable plus a $30 fee for installation.
Let the number of months be represented as x
Hence, this is represented as:
$39 × x + $30
= 39x + 30
The inequality that can be used to find out when the monthly cost for Cable company A is less than Cable company B?
= Cable company A < Cable company B
= 45x + 18 < 39x + 30
Therefore option c is correct
Answer:

Step-by-step explanation:
Assuming the maximum score for the final is
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of
, their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where
is the minimum score she needs.
Solving, we get:
.
Answer:
0.03
Step-by-step explanation:
So you have a diagram or picture of the triangle?
Anyways...
Answer: 36
Explanation:
3:5:7 is the ratio of the triangle's angles
The sum of all angles = 180 degrees.
3 + 5 + 7 = 15
Lets assume 'a' is the smallest angle with the ratio of 3
b is the second largest with a ratio of 5
And c is the largest angle with the ratio of 7
In other words:
a + b + c = 180
For 15 to get to 180 => 180 ÷ 15 = 12
So 15 × 12 = 180
So for 3 to get to a => 3 × 12 = 36
Thus the smallest angle is 36 degrees