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Vlad1618 [11]
3 years ago
13

Find four consecutive even integers such that if the sum of the first and the third is multiplied by 5 the result is 12 less tha

n 9 times the fourth
Mathematics
1 answer:
Fofino [41]3 years ago
6 0
4 consecutive even integers....x, x + 2, x + 4, x + 6

5(x + x + 4) = 9(x + 6) - 12
5(2x + 4) = 9x + 54 - 12
10x + 20 = 9x + 42
10x - 9x = 42 - 20
x = 22

x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
x + 6 = 22 + 6 = 28

so ur numbers are : 22,24,26, and 28
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1. Which would be a more helpful for solving the system: adding the two equations or subtracting
ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

\frac{2x+1}{2y}=7\\\\

Equation 2:

\frac{6x-1}{2y}=5

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\  with\ 6\\\\12x+6=84y

Now for the second equation:

\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y

Now subtracting equation 2 from equation 1

12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y

now insert this value of y into any equation

lets insert it into equation 1

\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375

5 0
3 years ago
Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for
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Answer:

7x +5

Step-by-step explanation:

Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.

"h hours each day in the week"

There are 7 days, so 7 × x.

"5 hours on the weekend"

5

So, this can be written as 7x + 5.

<em>Hope I helped, have a nice day!</em>

<em>                -Aadi x</em>

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A jungle and wildlife preserve extends 80 miles north and 120 miles east of the ranger station. The ranger leaves from a point 1
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Answer:

80 120 100 miles

Step-by-step explanation:

so this i know that the jungle is big but people are cutting the trees to minus it all and i don't really know thw answer i need points

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