Answer:
15 nickels were there with Alexis
Step-by-step explanation:
Let there be x nickels
given that
The number of dimes is 5 less than twice the number of nickels.
no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5
we know that
value of 1 nickel = 5 cents
then
value of x nickel = 5*x cents = 5x cents
we know that
value of 1 dime = 10 cents
then
value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents
Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50
given that
Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25
$1 = 100 cents
$3.25 = 3.25 * 100 cents = 325 cents
Thus,
25x - 50 = 325
25x = 325 + 50 = 375
x = 375/25 = 15
Thus, no of nickels = x = 15 answer
Answer:
divide by 2
Step-by-step explanation:
26.6
RS is similar to NM, and TP is similar to OL.
If they're similar they have to be proportional. So:
Since each vector is a member of

, the vectors will span

if they form a basis for

, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors

that gives the zero vector

occurs for scalars

.

Solving this, you'll find that

, so the vectors are indeed linearly independent, thus forming a basis for

and therefore they must span

.