Answer:
A)14v + 16b = 1152
10v + 13b = 925
B)Number of students in a van = 8
Number of students in each bus = 65
C) Elimination method was easier.
Step-by-step explanation:
Let v be the number of students in a van
Let b be number of students in a bus
A) We are told the first school can fill 14 vans and 16 buses with 1152 students
Thus;
14v + 16b = 1152 - - - - - (eq 1)
Also,we are told that the second school can fill 10 vans and 13 buses with 925 students.
Thus;
10v + 13b = 925 - - - - (eq 2)
B) To solve this we will use elimination method.
Multiply eq (1) by 5 and multiply eq (2) by 7 to give;
70v + 80b = 5760 - - - - eq(3)
70v + 91b = 6475 - - - - - eq(4)
Subtract eq(3) from eq(4) to give;
91b - 80b = 6475 - 5760
11b = 715
b = 715/11
b = 65
Put 65 for b in eq(3) to give;
70v + 80(65) = 5760
70v = 5760 - 80(65)
70v = 560
v = 560/70
v = 8
Number of students in a van = 8
Number of students in each bus = 65
C) Elimination method was used because in both equations, we had different digits attached and so it would have been more tedious to use substitution method or graphical method. Thus, elimination method was more easier.
Answer:
0.1001
Step-by-step explanation: Your answer is 0.1001
0.91
<u> 0.11</u>
1011
0990
<u>00000</u>
0.1001
Hope this helps you!!! :)
First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
so
= 1/6
and
So,
=
