1 yard = 36 inches
so 720 inches = 720/36 = 20 yards.
Answer:
5 ounces
Step-by-step explanation:
Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.
This means that he uses 15 pounds of cake batter.
He makes 48 cupcakes with the batter.
Therefore, the number of pounds of batter he uses per cake is:
15 / 48 = 0.3125 pounds
We have to convert it to ounces.
1 pound = 16 ounces
=> 0.3125 pounds = 16 * 0.3125 = 5 ounces
He uses 5 ounces of cake batter for each cake.
1/10,000 cubic meters of water has a mass of one gram. In other words one micrometer of water has the mass of 1 gram.
106.25
the answer would be 106.25 because i was taught to divide 465 by 4 and the subtract 10
Answer:
y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.
Step-by-step explanation:
A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is m = 2/5 and the intercept b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:
y - y1 = m(x - x1) plug in values
y - 2 = (2/5)(x - 0) now simplify
y - 2 = (2.5)x last solve
y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!
B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)? We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:
