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Bogdan [553]
3 years ago
15

One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the tw

o numbers.
Mathematics
2 answers:
Lemur [1.5K]3 years ago
5 0

I will try my best...


Let x and y be the two numbers.  


x = y - 4  


2y = 5x - 10  


Now, we solve the system of equations:  


2y = 5(y - 4) - 10  


2y = 5y - 20 - 10  


-3y = -30  



So...


y = 10  


x = 10 - 4 = 6


JulijaS [17]3 years ago
3 0

Let x and y be the two numbers.  

x = y - 4  

2y = 5x - 10  

solve the system of equations:  

2y = 5(y - 4) - 10  

2y = 5y - 20 - 10  

-3y = -30  

y = 10  

x = 10 - 4 = 6

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3 years ago
22. Find the perimeter of the square:<br> 28
sergejj [24]

Answer:

  56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

  s·√2 = 28

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The perimeter is 4 times the side length, so is ...

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  = 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator

  = 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

7 0
2 years ago
Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
Read 2 more answers
Can u help me -32=4c-12
zvonat [6]
-32 = 4c -12
add -34 by 12 which is -20
divide it by 4
c = -5
6 0
3 years ago
Read 2 more answers
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