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
Answer:
its c hope this helps:)
Step-by-step explanation:
Answer:15
Step-by-step explanation:
Answer:
95.9 cm^2
Step-by-step explanation:
this figure is composed of two semicircles. the area of each semicircle would be determined and then added together.
area of a semicircle = 1/2 nr^2
r = radius
n = 22/7
bigger semicircle
1/2 x (22/7) x (6^2) = 56.57cm^2
smaller circle = 1/2 x (22/7) x (5^2) =39.29cm^2
Sum of the areas = 56.6 + 39.3 = 95.9 cm^2
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Hey!
For part A, let's write the problem,
Add
to both sides...
We are going to reverse the inequality, to do this we are going to multiply both sides by
.
Divide both sides by
.
Our answer would be,
Let's go with Part B. Let's write the problem,
Subtract
from both sides,
Divide both sides by
.
If we simplified it, we would be left with,
Thanks!
-TetraFish
