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
dolphi86 [110]
3 years ago
11

If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
You might be interested in
Which shows all the critical points for the inequality x2-4/x2-5x+6<0
Hoochie [10]

Answer:

x = ±2, 3 are the critical points of the given inequality.

Step-by-step explanation:

The given inequality is \frac{(x^{2}- 4)}{x^{2}-5x+6}

To find the critical points we will equate the numerator and denominator of the inequality to zero.

For numerator,

x^{2}-4=0

(x - 2)(x + 2) = 0

x = ±2

For denominator,

x² - 5x + 6 = 0

x² - 3x -2x + 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 3)(x - 2) = 0

x = 2, 3

Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.

7 0
3 years ago
1. Mr. Hudson bought some shirts for the new members of his band. The cost for the number of shirts, including $3.99 shipping, w
nignag [31]

Answer:

6x + 4 - 1/100 = 77.5

Step-by-step explanation:

Inc shipping all shirts 77.49

Shirt individual cost = 12.25

We find the division first = 77.49-3.99 = 73.5  = 73 1/2

Then we divide 73.5 / 12.25 = 6

Then we have our equation

6x + 4 - 1/100 = 77.5

7 0
3 years ago
What is the slope of the line represented by the equation y=-1/2x+1/4
ahrayia [7]
I’m pretty sure the slope is -1/2
3 0
4 years ago
Sales at a book store increased from 5000 to 10000. This year sales dicreased to 5000 from 10000.
erastovalidia [21]
It's basically 5,000*2=10,000
 and 10,000/2=5,000. your answer would be either they multiplied 5,000 by 2 and 10,000 divided by 2, they increased the sales by 5,000
6 0
3 years ago
Read 2 more answers
It’s not 0.615 , or 0.75 or the one shown in the picture
Dafna1 [17]
2.40714

1) Let's evaluate that expression, given that a=4.9, b=-7, and c=-0.5

\begin{gathered} a^3\div b^2+c^3 \\ (4.9)^3\div(-7)^2+(-0.5)^3= \\ \frac{4.9^3}{\left(-7\right)^2+\left(-0.5\right)^3} \\  \\ \frac{4.9^3}{48.875} \\  \\ \frac{117.649}{48.875} \\  \\ 2.40714 \end{gathered}

Note that we have rewritten it as a fraction so that we can easily operate. Also, we have applied here the PEMDAS order of operations, prioritizing the exponents.

6 0
1 year ago
Other questions:
  • 36.1 is what percent of 95?
    6·2 answers
  • Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
    12·2 answers
  • on the first day if the month, John counted his money and found he had $28.35. since then he has received an additional $17.26 f
    8·1 answer
  • What is the area of the figure ?
    14·1 answer
  • At a benefit​ concert, eleven bands have volunteered to perform but there is only enough time for eight of the bands to play. Ho
    12·1 answer
  • Why does it take 30 years to pay off 150,000 loan , even though you pay 1000 a month
    12·2 answers
  • What is the slope of the points (-5,11) and (0,7)
    11·1 answer
  • Use the order of operation to simplify<br> ( 1/3x 1/3)x 9
    7·1 answer
  • Can someone help me out
    5·1 answer
  • X+16=25 solve the equation
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!