Answer:
19 hrs
Step-by-step explanation:
t varies inversely with number of people p
t = k/p
If it takes 7.125 hrs for 8 workers to do the job
K = tp
= 7. 125 x 8
= 57
How many hours will it take if there are 3 workers .
Recall t = k/p
t = 57/3
= 19 hrs
Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.
Answer:
Equivalent factions
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 89 and 56 is 1
Divide both the numerator and denominator by the GCD
89 ÷ 1
56 ÷ 1
Reduced fraction:
89
56
Equivalent fractions: 178/112 267/168 445/280 623/392
More fractions: 178/56 89/112 267/56 89/168 445/56 89/280 623/56 89/392
Answer:
13
Step-by-step explanation:
Write an equation setting the lengths equal to each other.
5x + 3 = 2x + 9
Move the variable (x) to one side. I'm going to subtract 2x from both sides.
5x - 2x + 3 = 2x - 2x + 9
3x + 3 = 9
Subtract 3 from both sides
3x +3 - 3 = 9 - 3
3x = 6
Divide both sides by 3
3x/3 = 6/3
x = 2
Now use 2x + 9 to find the length of EG by substituting 2 in for x.
2x + 9
2(2) + 9
4 + 9
13
You could also use 5x + 3 to find the length of EG by substituting 2 in for x.
19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
