Because 3/5 and 5/3 make a product of 1, so you have one x on the right side.
Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
=(-17) - 4
=(-17) + (-4)
=(-21)
Answer:
250 nickles
Step-by-step explanation:
Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:
N/D= 5/7
7N=5D ---> 1st equation
There are 350 dimes, the equation will be:
D=350 ----> 2nd equation
We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be
7N=5D
N= 5D/7
N=5(350)/7
N= 250
Answer:
height: 36 cm
Step-by-step explanation:
volume of triangle prism = 0.5 * base * altitude * height
using the formula:
0.5 * 8 * 6 * height = 864
24 * height = 864
height = 864/24
height = 36 cm
