1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
abruzzese [7]
3 years ago
15

the variable z is directly proportional to x. when x is 6, z has the value 18. what is the value of z when x = 10 the variable z

is inversely proportional to x. when x is 3, z has the value 2. what is the value of z when x = 13
Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
Z\alpha x
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30

Part B;
Z\alpha  \frac{1}{x}
z=\frac{a}{x}
Where x is a constant of proportionality,
when x=3, z=2
2=\frac{a}{3}
a=3*2
a=6
When x is 13,
Z=\frac{6}{13}
You might be interested in
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 20% white vinegar an
telo118 [61]

Answer:

1.25 cups

Step-by-step explanation:

The inicial concentration of the 10 cups of mixture is 10% of white vinegar and 90% water. We can then calculate the number of cups of white vinegar in the mixture:

Amount of white vinegar = 10% of 10 cups = 1 cup of white vinegar

Concentration of white vinegar = 1/10 (cups of white vinegar over cups of mixture

So, if we want to add white vinegar (x cups) until the mixture will be 20% white vinegar and 80% water, we have that:

Amount of white vinegar = (1+x) cups of white vinegar

Total number of cups in the mixture = 10+x

Concentration of white vinegar = 20% = (1+x)/(10+x)

(1+x)/(10+x) = 0.2

1 + x = 2 + 0.2x

0.8x = 1

x = 1.25 cups

You need to add 1.25 cups of white vinegar.

4 0
3 years ago
Can y’all help with this question plz
den301095 [7]
Pi x diameter = 14pi or 43.99 in.
4 0
2 years ago
How do I show my work on this problem?
wel
If you are to make it to proper fraction it would be 7 1/8 if have to make it to a just decimal it would be 7.125
8 0
3 years ago
We decided that the movie night will last four hours each movie takes 1.75 hours and we want to make sure we leave a half hour f
Naddik [55]
2 movies
4 hours - .5 popcorn -1.75-1.75=0 Easier terms 4 hours minus 30 min is 3 hours and 30 min left each movie is 1 hour and 45 min plus 1 hour 45 min i that's 2 hours and 90 min 90 min are one hour and 30 min. So 2 hours plus one hour and 30 min is the 3 hours and 30 min are we're left
4 0
3 years ago
8 divided by (7 - 3) x ( 4 + 6)<br> Equals?
gregori [183]

8÷(7-3)x(4+6)

8÷4x10

2x10

<u>20</u>

3 0
3 years ago
Other questions:
  • A snack company makes three batches of a nut mix using the recipe shown.
    11·1 answer
  • Help help help help help help help due tmr
    13·2 answers
  • Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)
    9·1 answer
  • Which of the following number sets does 25 belong in?
    6·1 answer
  • Solve the equation using square roots: 2x²-17 = 15
    15·1 answer
  • Jackie wants to buy a new CD player. It costs $32.95. She has saved $26 and has a new coupon for %30 off the price. Does Jackie
    6·2 answers
  • If a triangle has lengths of 3ft and 54ft, what are all the possible lengths for the third side?
    12·1 answer
  • The sum of two numbers is 5. The difference of two numbers is -1. Find the numbers
    7·2 answers
  • What percent of each diagram is shaded below?
    9·2 answers
  • Bananas cost 1.50 per pound, and guavas cost 3.00 per pound. Kiran spends 12 on fruit for a breakfast his family is hosting. He
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!