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murzikaleks [220]
4 years ago
10

It takes Joan 6 times longer than Jane to file the reports. ​ Together, they can file the reports in 30 minutes. How long would

it take each woman to file the reports by​ herself?
Mathematics
2 answers:
levacccp [35]4 years ago
5 0
You have to consider the job done = 100% or 1 (100& =1)
let t₁ be the time spent by Joan to complete the 100% of the job AND
let t₂ be the time spent by Jane to complete the 100% of the job
We know that t₁=6t₂ (given),then Joan need 6t₂ to complete the 100% of the job

In 1Minute Joan completes 1/6t₂  (part of the job). In 30 min she competes 30/6t₂ OR 5/t₂
In 1 MINUTE Jane completes 1/t₂ (part of the job).In 30 min she competes 30/t₂
But we know that 5/t₂ +30/t₂ = 1 (100% of the Job)
Reduce same denominator (5/t₂ +30/t₂) = 1/t₂
& t₂ = 35 min needed by Jane to complete the 100% of the job alone &
35 x 6 =210 min (or 3hr & 30 min) needed by Joane to complete the 100% of the job alone
IrinaVladis [17]4 years ago
3 0
Jane = 35 minutes 
<span>Joan = 210 minutes or 3 hours and 30 minutes</span>
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Given the recursive formula shown, what are the first 4 terms of the sequence? image Question 19 options: A) 5, 20, 80, 320 B) 5
kvv77 [185]

Answer:

B) 5, 20, 80, 320

Step-by-step explanation:

Complete question

Given the recursive formula shown, what are the first 4 terms of the sequence?

f(1) = 5 if n=1

f(n) = 4f(n-1) if n> 1

A) 5. 25, 100, 400

B) 5, 20, 80, 320

C) 5, 25, 125, 625

D) 5. 14, 60, 236

Get f(2)

f(2) = 4f(2-1)

f(2) = 4f(1)

f(2) = 4(5)

f(2) = 20

Get f(3)

f(3) = 4f(3-1)

f(3) = 4f(2)

f(3) = 4(20)

f(3) = 80

Get f(4)

f(4) = 4f(4-1)

f(4) = 4f(3)

f(4) = 4(80)

f(4) = 320

Hence the first 4 terms of the sequence are 5, 20, 80 and 320

3 0
3 years ago
What is equivalent to -3/2
san4es73 [151]

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

4 0
2 years ago
What is the LCM of 21 and 35
bezimeni [28]

Answer:105

Step-by-step explanation:

becasue you can mutiply 35 3 times and 21 5 times and you get the same number as 105

5 0
3 years ago
Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per hour clearing tables. In a given week, she can
Eddi Din [679]

Answer:

She must work at least 7 hours. All possible values are 7, 8, 9, 10

Step-by-step explanation:

14 - 4 = 10

4($7)=$28

$130-$28=$102

$102÷$15=6.8

$15x7=$105

$105+$28=$133

$15x8=$120

$120+$28=$148

$15x9=$135

$135+$28=$163

$15x10=$150

$150+$28=$178

5 0
4 years ago
2r-3.1=1.7 solve each equation check your soultion plz help step by step plz
professor190 [17]

2r-3.1=1.7 add 3.1

2r=1.7+3.1 divide by 2 to isolate r

2r/2=4.8/2

r=2.4

check

2(2.4)-3.1=1.7

4.8-3.1=1.7

1.7=1.7

4t+3.5=12.5 sub 3.5

4t=12.5-3.5 divide by 4

4t/4=9/4

t=9/4

check

4(9/4)+3.5=12.5

9+3.5=12.5

12.5=12.5

8m-5.5=10.1 add 5.5

8m=10.1+5.5 divide by 8

8m/8=15.6/8

m=1.95

check

8(1.95)-5.5=10.1

15.6-5.5=10.1

10.1=10.1

8 0
4 years ago
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