Answer:
60 pages
Step-by-step explanation:
Day 1 : 1/3 book
Day 2: 1/4 book
Day 3: 1/5 book
Day 4: 13 pages
Total days 1 through 3 = 1/3 + 1/4 + 1/5 = 20/60 + 15/60 + 12/60 = 47/60
Day 4 = 1 - 47/60 = 13/60
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Answer:
The range is from 125 to 133.
Step-by-step explanation:
That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.
Answer:
to solve the equation, you must multiply both sides by 4 to remove the fraction and get n by itself. so it'll be
n = -48
Step-by-step explanation:
a = 2i + j - k
b = -1 -7j + k
a × b = (2i + j - k) (-1 + 7j + k)
-2i + 14ij + 2ik - j + 7j^2 + jk + k -7jk - k^2
-2i + 14ij + 2ik -j +7j^2 +jk - 7jk + k - k^2
-2i + 14ij + 2ik - j +7j^2 - 6jk + k - k^2
