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Aleksandr [31]
3 years ago
11

The sum of 6 consecutive integers is 393. What is the third number in this sequence?​

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

Let the six consecutive integers be x , x+1 , x+2 , x+3 , x+4 and x+5 . and third number is 63+2=65 .

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Joe the trainer has two solo workout plans that he offers his clients: Plan A and Plan
sasho [114]
Let workout Plan A last a hours, and Plan B last b hours.

we are assuming personal training for each client.

i)
"On Monday there were 2 clients who did Plan A and 3 who did Plan"

the total time spent is : 2*a + 3*b =2a+3b

ii)
"On Tuesday there were 4 clients who did Plan A and 8 who did Plan B"

the total time spent was 4*a+8*b=4a+8b

iii) "Joe trained his Monday clients for a total of 7 hours"

so 2a+3b = 7

iv)

"Joe trained his Tuesday clients for a total of 17 hours"

so 4a+8b=17

v) thus we have the following system of equations:

2a+3b = 7
4a+8b=17

multiply the first equation by -2, and then add both equations, to eliminate a:

-4a-6b=-14
4a+8b=17
-------------------
2b=3, so b=3/2

2a+3b = 7
2a+3(3/2)=7
2a+9/2=7
multiply by 2:
4a+9=14
4a=5
a=5/4

Answer :

Plan A lasts 5/4=1.25 h
Plan B lasts 3/2=1.5 h


8 0
3 years ago
The price of of a mathematical set. was Ugx 2400 a month ago,and now it is Ugx 3000 - Find The percentage increase​
Ivanshal [37]

Step-by-step explanation:

[tex]Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .

5 0
3 years ago
A cylinder has a radius of 3.5. inches. what is the base area of the cylinder​
Aleks [24]

Answer:

The formula for area of a circle is A = tt r^2

So 3.14 * 3.5^2 = 38.5

Step-by-step explanation:

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3 years ago
What is Nine sixteenths of 11 inches?
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<span>6.1875 inches would be 9 / 16 ths of 11 inches

</span>
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4 years ago
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3 years ago
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