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Veronika [31]
3 years ago
7

suppose a varies jointly with b and c and inversely with d and a=400 when b=16, c=5 and d=2. write the equation that models the

relationship. please show all steps
Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0
For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
                                  a = kbc / d
Substituting the known values,
                                 400 = k(16)(5) / (2) 
The value of k is 10. The equation that models the relationship is therefore,
                                   a = 10bc/d
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The cost of 11 dvds and 7 cds is 172.50 and the cost of 10 dvds and 7 cds is 155.80. How much does a cd and dvd cost?
AleksandrR [38]

Answer:

The question has a mistake

Step-by-step explanation:

11d+7c= 172.5

10d+7c= 155.8

By subtraction;

1d+ 0c = 16.7

1d = 16.7

11×16.7+7c=172.5

7c = 172.5-11*16.7

You will get a negative answer yet the cost cannot be negative.

5 0
2 years ago
Please help i can't figure out if 1/2 comes first or if 1/4 comes first.​
fiasKO [112]

Answer:

1/4 goes first

Step-by-step explanation:

7 0
2 years ago
3x -4y= -20 -x +2y =10 whats the value of y
Anni [7]
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
4 0
2 years ago
Three consecutive natural numbers have a sum of 36. What is the greatest number?
Eduardwww [97]
It's 12 because if you divide 36 by 3 (consecutive) it equals 12
8 0
3 years ago
Read 2 more answers
Point T is on line segment S U ‾ SU . Given T U = x − 1 , TU=x−1, S U = 3 x − 7 , SU=3x−7, and S T = x + 7 , ST=x+7, determine t
dangina [55]

Answer:

TU = 12

Step-by-step explanation:

Given

TU = x − 1

SU = 3x − 7

ST = x + 7

TU = ?

Then we can say that

SU = ST + TU

⇒  3x − 7 = (x + 7) + (x − 1)

⇒  3x − 7 = 2x + 6

⇒  x = 13

Finally, we get

TU = x − 1

⇒  TU = 13 - 1

⇒  TU = 12

Therefore,

ST = x + 7 = 13 + 7 = 20

SU = 3x − 7 = 3*(13) - 7 = 32

6 0
2 years ago
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