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motikmotik
4 years ago
11

Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y. x = 24 and y = 360 A)

y = 15x B) x = 15xy C) y = .15x D) y = 15 x
Mathematics
1 answer:
Papessa [141]4 years ago
3 0

Answer:

A

Step-by-step explanation:

given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition x = 24 and y = 360

k = \frac{y}{x} = \frac{360}{24} = 15

Hence y = 15x is the equation → A


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Finish the pattern<br> (8,5), (2,-1), (0,-3), (-9,-12), (5 (1/2), ____)
tensa zangetsu [6.8K]

Positive slope.Non proportional

Starting at (-9,-12)  (0,-3),(2,-1),(5 1/5.2),(8,5)

(5  1/5,2)



7 0
3 years ago
2x + 3y = 15<br> x + y = 6<br> Work out the values of x and y.
Igoryamba

Answer:

x is 3

and

y is 3

Step-by-step explanation:

(2*3)+(3*3) = 15

6+9 = 15

6 0
3 years ago
Solve the system by substitution <br> -x-y-z=-8<br> -4x+4y+5z=7<br> 2x+2z=4 <br><br> show the work
Bezzdna [24]

<u>ANSWER </u>

x=3,y=6,z=-1

<u>EXPLANATION</u>

We the have the equations,

-x-y-z=-8

Multiplying through by negative one gives,


x+y+z=8---(1)

Also

-4x+4y+5z=7---(2)

and


2x+2z=4


Dividing through by 2 gives

x+z=2


Making z the subject  gives,

z=2-x---(3)


Now we substitute equation (3) into equation (1) and (2)


Equation (3) in to equation (1) gives,


x+y+2-x=8


This implies that;

y=8-2

y=6


We now put equation (3) in (2) to get,


-4x+4y+5(2-x)=7

This implies that

-4x+4y+10-5x=7


-9x+4y=7-10


-9x+4y=-3

But

y=6

So,

-9x+4(6)=-3


-9x+24=-3


-9x=-3-24


-9x=-27

Dividing through by negative 9 gives


x=3


and

z=2-3


z=-1


Therefore x=3,y=6,z=-1



8 0
4 years ago
What is 3957 hours in minutes
scZoUnD [109]
60 minutes in an hour...so
3957*60=237420
6 0
3 years ago
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the num
hjlf

Answer:

a = 27

b = 38

c = 19

Step-by-step explanation:

a + b + c = 84

b = 2c

a = 8+c

8+c +2c+c = 84

4c + 8 = 84

4c = 76

c = 19

b = 2(19) = 38

a = 8 + 19  = 27

5 0
3 years ago
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