Answer:
Which sum or difference is equivalent to the following expression?
5 minus 3 x over 5
A. 1 + three-fifths
B. 1 + 3 x over 5
C. 1 – 3 x over 5 *My answer
D. 25 – 15x
I took the test and I got it right
Answer:
-17/12
Step-by-step explanation:
-(2/3)-(3/4)
-(8/12)-(9/12)
-17/12
Answer:
They are congruent by SAS (Side Angle SIde) test or congruence criterion
Since,
In triangle ABD and triangle BCD
AB = BC (Given)
BD = DB(Common Side)
Angle ABD = Angle CBD
Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Answer:
c. $100,000
Step-by-step explanation:
Calculation of the expected net profit of Ephemeral services corporation
Since we are been told that 9 other companies besides esco are as well bidding for the $900,000 government contract, it means we have to find the expected net profit by dividing 1 by 9×$900,000 .Thus ESCO can only expect to cover its sunk cost.
Hence ,
E(X) = (1/9) × $900,000
E(X)=0.111111111×$900,000
E(X)= $100,000
Therefore the expected net profit would be $100,000
