Total weight = 50 lb
x = number of 3-lb weights
y = number of 10-lb weights
weight of 3-lb weights = 3x
weight of 10-lb weights = 10y
total weight = 3x + 10y
equation
3x + 10y = 50
Answer:
F
Step-by-step explanation:
s²+s²=(4√2)²
2s²=32
s²=16
s=4
Answer:
48 cm
Step-by-step explanation:
Given:
Distance of rod from the wall = 45 cm
Distance of rod from the light = 15 cm
Length of rod = 12 cm
We can see that <DAM and <BAF are equal
Also, <DMA and <BFM are equal because they are corresponding angles
To find the length of the shadow, let's take the equation

Where.:
DM = ½ of length of the rod = ½*12 = 6
A.F = 15 + 45 = 60 cm
AM = 15 cm
Therefore,


Cross multiplying, we have:
15 * B.F = 60 * 6
15 * B.F = 360

BF = 24 cm
The shadow on the wall =
2 * BF
= 2 * 24
= 48 cm
The shadow on the wall is 48 cm
Answer:
The answer would be A. 55.
Step-by-step explanation:
For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.
For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.
Answer: (3,45) and (15,9)
Step-by-step explanation:
LCM x HCF = 45*3 = 135
so, the pairs which has HCF as 3 and LCM as 45 are (3,45) and (15,9)