Ajar contains n nickels and d dimes. there are 18 coins in the jar, and the total value of the coins is $1.15. how many nickels and how many dimes are in the jar? (hint: nickels are worth $0.05 and dimes are worth $0.10.)

there nickels and in the jar.?

There are 13 nickels and 5 dimes in the jar.

Step-by-step explanation:

Total number of coins = 18

Number of nickels =

Number of dimes =

Therefore

Total value of coins = $1.15

Value of nickels = $

Values of dimes = $

therefore

We have a system of equation to solve

(1)

(2)

Multiplying equation (2) with

Now adding it to equation (1)

We get

Dividing both sides by

∴

Plugging value of in equation (1).

Subtracting both sides by 13.

∴

Therefore there are 13 nickels and 5 dimes in the jar.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)