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Ganezh [65]
4 years ago
14

4. Suppose y varies directly with x. Write a direct variation equation that relates x and y.

Mathematics
1 answer:
zheka24 [161]4 years ago
8 0

Answer:

y = - 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 10 when x = 2, thus

k = \frac{y}{x} = \frac{-10}{2} = - 5

y = - 5x ← equation of variation

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3 years ago
1. a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reve
bagirrra123 [75]
X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:

x=2y
2(10y+x)=12+(10x+y)

We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4

x=2y
x=2(4)=8

The number is: 10y+x=10*4+8=48

Answer: the number is 48. 

b)
the number is: 10x+y
we can suggest this system of equations:

8(x+y)=(10x+y)+19
x=y-2

We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3

x=y-2
x=3-2=1

The number is: 10x+y=10*1+3=13

Answer:the number is 13.

c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:

y=2x
2(10x+y)=9+(10y+x)

We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3

y=2x
y=2*3=6

The number is: 10x+y=10*3+6=36

Answer: the number is 36
6 0
3 years ago
Simplify each expression. will mark brainly !
grin007 [14]

Answer:

25

Step-by-step explanation:

3 0
3 years ago
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