Answer:
five times a number of pencils plus three pencils =twenty-eight pencils.
Step-by-step explanation:
x = 5, Have a great day!
Answer:
There are 8 dimes there.
Step-by-step explanation:
This question is solved used a system of equations.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
19 coins
This means that x + y = 19.
A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So
0.05x + 0.1y = 1.35
How many dimes are there?
We have to find y.
From the first equation: x = 19 - y.
Replacing in the second:
0.05(19 - y) + 0.1y = 1.35
0.95 - 0.05y + 0.1y = 1.35
0.05y = 0.4
y = 0.4/0.05
y = 8
There are 8 dimes there.
#30 and #31 are in y = mx + b. m = slope, and b = y-intercept.
30. slope = 2/3 y-intercept = 1
31. Slope = -9/5 y-intercept = -4
To make the x's get on the right side of the equal sign, subtract it on both sides.
32. 6x - y = -2
32. 6x - y - 6x = -2 - 6x
32. y = 6x - 2
Answer:
Step-by-step explanation:2a-b
Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
and the volume of a cone is given by:
since both have the same height and radius, we can solve each equation for 
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
and from the cone's volume formula:
matching the two previous expressions:
we solve for the volume of a cone 
:
substituting the value of the cylinder's volume 
