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vagabundo [1.1K]
3 years ago
9

X varies directly with Y and Z. x = 40 when y = 10 and Z = 20. find X when y = 30 and Z = 40.​

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

x = 60

Step-by-step explanation:

Direct variation is of the form

y= kxz

We know x =40 and y =10 and z= 20

10 = k * 40 * 20

10 = k * 800

Divide each side by 800

10/800 = k

1/80 = k

The equation becomes

y = 1/80 xz

Let y = 30 and z = 40 and find x

30 = 1/80 * x * 40

30= 40/80 x

30 = 1/2x

Multiply each side by 2

2 * 30 = 2 * 1/2 x

60 = x

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SIZIF [17.4K]
0.10d + 0.25q = 3.55
q = d + 3

0.10d + 0.25(d + 3) = 3.55
0.10d + 0.25d + 0.75 = 3.55
0.10d + 0.25d = 3.55 - 0.75
0.35d = 2.80
d = 2.80/0.35
d = 8.....8 dimes

q = d + 3
q = 8 + 3
q = 11 <=== 11 quarters
3 0
3 years ago
Two equations are given below:
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6 0
3 years ago
If y = -12 when x = -9, find y when x = -4
mihalych1998 [28]
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cross multiply

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7 0
3 years ago
D is the wrong answer please help :(
Stella [2.4K]

This can be solved by Newton's binomial formula

Tk+1 = (n k) a∧(n-k) b∧k  k+1=7 => k=6, n=11 , a=-3x and b=-2y

T7= (11 6) (-3x)∧(11-6) (-2y)∧6 = (11*10*9*8*7)/(1*2*3*4*5) (-3x)∧5 (-2y)∧6

T7= 462 (-3x)∧5 (-2y)∧6

The correct answer is A.

Good luck!!!


8 0
2 years ago
Read 2 more answers
Use the number line​ below, where RS=5y+5​, ST=2y+5, and RT=52. a. What is the value of​ y? b. Find RS and ST.
Alchen [17]

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

3 0
2 years ago
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