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:
2.4 cm
Step-by-step explanation:
The formula we would use
S = rθ
Where S = Arc length
θ = central angle in radians
r = radius of the circle or length of the radius.
From the question, we can see that if
If C = a point on circle A
The Segment BC = The arc length of the circle = 12cm
∠BAC = central angle in radians = 5 radians.
Since, S = rθ,
Length of the radius = S/θ
= 12cm/5 radians
Length of the radius = 2.4 cm
1/10 as a decimal would be 0.1. Now just add the 8 to it and it would be 8.1.
Answer:
(–1, 1)
(4, –2)
Step-by-step explanation:
Let
(x,y) ----> the coordinates of point C
Applying the Pythagoras Theorem
step 1
Find the possibles values of x
Simplify
Solve the quadratic equation
The values of x are
x=-1 and x=4
step 2
Find the possibles values of y
Simplify
Solve the quadratic equation
The values of y are
y=-2, y=1
therefore
The possibles coordinates of point C are
(-1,1),(4,-2)
