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
tiny-mole [99]
3 years ago
5

If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26

Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

You might be interested in
What is the measure of \angle x∠xangle, x?<br> Angles are not necessarily drawn to scale.
krok68 [10]

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

8 0
2 years ago
A movie theater has a capacity of 241. The theater chargers $5 for children, $7 for students and $12 for adults. There are half
STatiana [176]

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890

7 0
4 years ago
The number -3 can be classified as which of the following?
sp2606 [1]

<u>Answer</u>:

-3 is an integer, rational number and real number , so correct option id D) that is all of the above.

<u>Explanation:</u>

Integer is all natural number  that a 1 , 2 , 3 , 4 ……. And zero and negative of natural numbers like -1 , -2 , -3 , - 4 ……. So -3 is an integer.

Rational number is the number which can be represented in the form of p/q where p and q are integers and q ≠ 0 . As -3 can be represented as (-3)/1 . hence -3 is also a rational number.

Real number is all number which can be represented on number line. All integers and rational numbers are real numbers . so -3 is also a real number.

Hence as -3 is an integer, rational number and real number , so correct option id D) that is all of the above.

5 0
4 years ago
Help me plzzzzzzzzzz
ratelena [41]

Answer:

C

Step-by-step explanation:

im not 100% sure but i beleive its C

4 0
3 years ago
A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.
patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

brainly.com/question/2882938

#SPJ1

5 0
3 years ago
Other questions:
  • 2. Which number is a solution of the inequality? <br> -5 <br> -6<br> 6<br> 7
    11·1 answer
  • How do you find the square root of a number?
    12·1 answer
  • heidi a jewelry salesperson earns a commission of $55 every time she sells a diamond ring how many rings does she have to sell t
    14·2 answers
  • Rotate a semicircle around a line through the endpoints of the semicircle.
    5·1 answer
  • Describe a sequence of three transformations of ABC that will produce the image A’ B’ C’.
    8·2 answers
  • Which sequence explains a geometric method of determining 3-17i/2+2i ?
    13·1 answer
  • You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an e
    7·2 answers
  • What sentence represents the number of points in the problem below?
    13·1 answer
  • An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?
    11·2 answers
  • Which of the following points is in the solution set of y &lt; x^2 - 2x - 8?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!