Answer:
You will need to find the number of measures per beat (it will be a fraction): 7/56=0.125 Then, you multiply that by 104: 0.125x104=13 This means that there will be 13 measures after 104 beats.
Step-by-step explanation:
104 beats is multiplied with the decimal of the fraction of beats and measures which means it has been used with whole numbers
0.125 is not a whole number we know x 100 is 12.5 and we know x4 is 0.5
When we work with the first 4 multiples we can usually spot whether it would take more than 4 to round figure it to 0.5 to add to 12.5
There are 3 digits as decimals and x 100 quantifies. just by adding 4 to x100 to each of them until a whole number found 12.5 + 0.5 = whole number = 13.
X represents the number of books you have. If you say to a friend "I have more than 25 books" then you can write "x > 25" which says "x is greater than 25"
Something like x = 50 will make x > 25 since 50 is larger than 25. In contrast, a value like x = 20 is going to make x > 25 false because 20 > 25 is false (20 is smaller than 25, not larger)
First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
Answer:
y = -3/4(x+4)
Step-by-step explanation:
The point slope formula is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = -3/4(x - -4)
y = -3/4(x+4)
