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
Lemur [1.5K]
2 years ago
14

Y varies directly as x and y=21 when x=6. determine the value of y when x=14

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:

y = 49

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 21 when x = 6 , then

21 = 6k ( divide both sides by 6 )

3.5 = k

y = 3.5x ← equation of variation

When x = 14 , then

y = 3.5 × 14 = 49

You might be interested in
A 8.33% tax is added to a $120 grocery bill.<br> A. Amount of tax: $9.99<br> B. Total paid: $127.99
katrin2010 [14]
120$. 100%
X$. 8.33%
X= 120• 8.33/100
X=9.99 $
6 0
3 years ago
The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect
klasskru [66]

1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

w = 3 in.

5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :

l = w + 6

l = 3 + 6

l = 9 in.

6. Therefor the rectangle has a width of 3 in. and a length of 9 in.

8 0
3 years ago
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for
bearhunter [10]
87 dollars hope this helps I can’t really show you how to do it though because I think it will over complicate the problem but
3 0
3 years ago
Read 2 more answers
jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how
ch4aika [34]

Answer:

and why did teacher ate it

6 0
3 years ago
I need help with both of those questions
mrs_skeptik [129]
Im nor sure which 2 you are reffering to, but I believe 5.1 x 10 to the power of 4 would be 51,000 and the shape with 3 unequal angles is a triangle?
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the meaning of point (7.5, 12)?
    14·1 answer
  • Number Frequency 1,400 3 1,450 7 1,500 7 1,550 5 1,600 4 1,650 2 1,700 1 What is the mode?
    15·2 answers
  • If a figure is translated up 9 units and then left 8 units, what can be said about the perimeter of the transformed image?
    9·2 answers
  • Estimate a 15% tip on a dinner bill of $31.81 by first rounding the bill amount to the nearest ten dollars
    11·1 answer
  • Evaluate the expression for q = -2. 8q=
    8·1 answer
  • 7x -2(x-11)=-103<br> what is x
    10·2 answers
  • Cheryl is making a mixed fruit drink for a party. She mixes 8 pints each of apple juice and cranberry juice.
    10·1 answer
  • Please help and explain ( Brainliest for answer!)
    14·1 answer
  • Choose the inequality shown by this diagram
    10·1 answer
  • 6 less than the number y
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!