Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that
so
------> equation A
------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D
solve for y
Find the value of x
<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
Answer:
96 sq. m
Step-by-step explanation:
If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:
40 = 2(x + x + 4)
40 = 2(2x + 4)
20 = 2x + 4
16 = 2x
x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.
Answer:
$525
Step-by-step explanation:
We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:
To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:
525 * 0.36 = 189
525 - 189 = 336
Modeling the first formula gives us:
525 - (0.36 * 525) = 336
525 - 189 = 336
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
