Count the amount of 1 bag then you know one bag. The same amount has to be in each bag. So just multiply it by 3. The answer per bag is 10 so there are 30 blocks
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
Step-by-step explanation:
probability of not getting six=5/6
is your answer
Sorry what is this exactly?
Take the coordinates on each line and find their related slopes:
Slope formula m= (y₂-y₁)/(x₂-x₁)
1st . The two given coordinates of the LOWER line are: (-1,-1) and (1,-2)
them m = (-2+1)/1+1) = -2/2 = -1
2nd. The two given coordinates of the HIGHER line are: (-1,2) and (1,1)
them m = (1-2)/(1+1) = -1/2
3rd. The two given coordinates of the SECANTE are: (1,0) and (2,2)
them m = (2-0)/(2-1) = 2/1 = 1
We notice that the 1st line has m = -1 and the 3rd (secant), m = 1, then only the 1st line and the secant are perpendicular because the product of their slope is equal - 1 (this is the condition to have perpendicular lines)