Answer:
-5cd
Step-by-step explanation:
<u>Simplifying:</u>
- -3cd - d(2c - 4) - 4d = ⇒ parenthesis
- -3cd - 2cd + 4d - 4d = ⇒ simplify like terms
- -5cd ⇒ answer
The first choice is correct one.
Answer:
x=-1 and x=9
Step-by-step explanation:

=
=
=
=




therefore x=9 and x=-1
Answer:
The length of BE is 5 units.
Step-by-step explanation:
ABCD is rectangle
AC is a diagonal and BD is a diagonal too.
Diagonals of rectangle are equal and bisect each other perpendicularly.
So, AE = BE
AE = 1/2 × AC
= 1/2 × 10
= 5
BE = 5
Hence the length of BE is 5 units.
Answer:
and
.
Step-by-step explanation:
The given expression is:
and
.
The least common denominator is:
.
We collect LCM for the denominator to obtain;
and
.
We multiply out the parenthesis to obtain;
and
.
Therefore the correct answer is B or the second option.
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
=
, cross multiplying, we get
, take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
, take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
,
,
.
Substitute
in equation 2.
.
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.