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Vladimir79 [104]
3 years ago
9

The variables x, y, and z vary jointly.

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

k = 18

when x = 4, y = 3, z = -24

Step-by-step explanation:

x = k * y * z

Find k when x = 4, y = 3, and z = 24

4 = k * 3 * 24

4 = k * 72

4 = 72k

k = 72/4

k = 18

find z when x = -3 and y = 4

x = k * y * z

-3 = 18 * 4 * z

-3 = 72 * z

-3 = 72z

z = 72/-3

z = -24

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Write an equation for the nth term of the arithmetic sequence.
tresset_1 [31]

Answer:

<h3>              \bold{a_n=6n-3}\\\\\bold{a_{50}=297} </h3>

Step-by-step explanation:

3, 9, 15, 21,  ...

9-3 = 6;   15-9 = 6;   21-15 = 6   ⇒  d = 6

first term:  a = 3

difference:  d = 6

so the formula:

                         a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}                        

and:

   a_{50}=6\cdot50-3=300-3=297

5 0
3 years ago
3600 divided by 1760?
balu736 [363]

Answer:

3600 \div 1760 \\  \\  = 2.04545

5 0
3 years ago
Read 2 more answers
What the equations are
strojnjashka [21]
So, first lets define our variables: 
 
let x = the number of dimes
let y = the number of nickels

so our first equation would be x+y = 16

Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows: 

.10x+.05y = 1.35

now change the first equation so y = -x+16
now substitute:

.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35

combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5

So, you have 11 dimes and 5 nickels 
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4 years ago
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zubka84 [21]

Answer:

She wont complete the book in book in time at 4 pages per hour has she will only write 32 pages in 8 hours

Step-by-step explanation:

Marie has 8 hours to write 45 page chapter

at 4 page per hours, in 8 hours, she will on write

8 × 4 = 32 pages

Therefore, she wont complete it in time at 4 pages per hour

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3 years ago
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zmey [24]

Answer:

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Step-by-step explanation:

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That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

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3 years ago
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