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
Mrac [35]
3 years ago
6

The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

You might be interested in
5,5,3 Is this a triangle? Explain.
Vlad1618 [11]

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

==========================================================

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

==========================================================

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
4 0
3 years ago
How long does it take to drive 300 miles at 60 mph?
olga55 [171]
It would take 5 hours
4 0
3 years ago
Read 2 more answers
Decrease 1000 Naira by 10%<br><br>​
AleksAgata [21]

Answer:

900

Step-by-step explanation:

1,000 degreased by 10%=900

hope this helps

have a great day/night

8 0
3 years ago
Work out the value of angle x.<br> (24)<br> х<br> Isosceles
andreev551 [17]

answer:

x=78

since it's an isosceles triangle base angles are equal sum of all angles in traingle is 180 so

24+x+x=180

2x=156

x=78

hope.. this helped <3!!!

5 0
3 years ago
Is -1/8 greater than -1/10
Alika [10]

Answer:

false

Step-by-step explanation:

-1/8 = -0.125

-1/10 = -0.1<u>00</u>

as it is negative  

-0.125 < -0.1

so it is false

8 0
3 years ago
Other questions:
  • Use the distributive property to remove the parentheses -5(-6u-3x+4)
    15·1 answer
  • You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
    11·1 answer
  • If angle p is right angle and angle p and angle q are supplementary then what is angle q
    5·1 answer
  • Baby Amelia's parents measure her height every month.
    8·1 answer
  • Select the two values of x that are roots of this equation.x2 + 3x – 5 = 0
    8·1 answer
  • Help pls my math teacher is rude​
    12·1 answer
  • Answer for this to question c
    8·1 answer
  • PLEASE HELPPPPPPPPPPPPPPPPPPPPP
    7·1 answer
  • I will give brainiest!
    10·2 answers
  • Find the slope of the line passing through the points (-4, -2) and (6, -2).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!