40, because 6×4=24 and 10×4=40
The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.
The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12
9/12 - 4/12 = 5/12
You can tell if lines are perpendicular or not by seeing if meet in a right angle. A right angle is like a square, and the lines would have to be 90 degrees.
One example is when the two lines (horizontal and vertical) meet each other at the ends.
(You MUST make sure that they are directly horizontal and vertical. If not, they will either be acute or obtuse).
I hope this helped!
Answer:
10 carbs in snack bars
14 carbs in milk
Step-by-step explanation:
Glasses of Milk = m
Snack Bars = s
I am going to make this a system of equations:
2m + 3s = 58
4m + 2s = 76
I am going to simplify one of them for a s:
4m + 2s = 76
2s = 76 - 4m
s = 38 - 2m
I am going to insert this into the other equation:
2m + 3s = 58
2m + 3(38 - 2m) = 58
2m + 114 - 6m = 58
(-4)m + 114 = 58
(-4)m = -56
m = 14 calories
I am going to plug this m into one of the equations (doesn't matter which):
2(14) + 3s = 58
28 + 3s = 58
3s = 30
s = 10
You can plug these values back into each of the equations to make sure they work.
Hope it helps! UvU
<em>The question doesn't show any graph, but I have included it to help you with the problem.</em>
Answer:
<em>The new graph will be shifted up by 3 units</em>
Step-by-step explanation:
<u>Graph of a Real Function</u>
The total cost of belonging to the book club depends on one fixed cost, the initial joining fee, and a variable cost, depending on the number of books purchased. Call C the total cost and x the number of purchased books, then
By giving x some values, we get the corresponding values of C and then we can plot the graph as a blue line, in the image provided below.
If the joining fee goes up by $3, the new function is
The graph is also shown in the image, but with a red line. We can see the graph is shifted up by 3 units in the y-axis, but the slope remains the same, as the cost per book hasn't changed
