The answer :
4/5
Step-by-step explanation:
4x-5y=0
subtract 4x on both the sides
4x-4x-5y = 0-4x
-5y = -4x
divide by -5 on both the sides
-5y/-5 = -4x/-5
y =( 4/5 )x
Let x = # of 25-cent stamps
y = # of 2-cent stamps
{ x+ y = 88
{ 0.25x + 0.02y = 15.56
60 25-cent stamps 28 2-cent stamps
Answer:
![d=7.8\ g/cm^3](https://tex.z-dn.net/?f=d%3D7.8%5C%20g%2Fcm%5E3)
Step-by-step explanation:
Given that,
The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm
Mass, m = 93.6 g
We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,
![d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7Bm%7D%7BV%7D%5C%5C%5C%5Cd%3D%5Cdfrac%7B93.6%7D%7B4%5Ctimes%202%5Ctimes%201.5%7D%5C%5C%5C%5Cd%3D7.8%5C%20g%2Fcm%5E3)
So, the density of the steel is
.
Answer:
![y-4=\frac{1}{5}(x-7)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B5%7D%28x-7%29)
Step-by-step explanation:
The point-slope form of a line is given by:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where
(x_1,y_1) is the coordinate pair (any of the points given)
m is the slope. The ratio of change in y coordinates by x coordinates
Let's calculate the slope:
![m=\frac{4-3}{7-2}\\m=\frac{1}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-3%7D%7B7-2%7D%5C%5Cm%3D%5Cfrac%7B1%7D%7B5%7D)
Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7
Now we have all the values, lets write the equation:
![y-y_1=m(x-x_1)\\y-4=\frac{1}{5}(x-7)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-4%3D%5Cfrac%7B1%7D%7B5%7D%28x-7%29)
This is the point-slope form.
It is B. <span>because</span> <span>it</span> the lowest term and if we multiply it equal to 2*2*5/2*5*= 4*5/10*5= 20/50