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
pav-90 [236]
3 years ago
11

Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16...

Mathematics
2 answers:
olchik [2.2K]3 years ago
6 0

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 2, y = 7.

=> (7) = k(2), 2k = 7, k = 3.5.

Therefore when x = 16,

y = (3.5)(16) = 56.

The value of y is 56 when x is 16.

bija089 [108]3 years ago
5 0

The formula for direct variation is y = kx

Using the known x and y solve for k:

7 = k2

Divide both sides by 2:

k =7/2 = 3.5

Now solve for y when x = 16:

y = 3.5(16)

y = 56

You might be interested in
What is the value of x? 20,35,60or70
riadik2000 [5.3K]

You are right it is 20.

Hope this helps.

8 0
3 years ago
Read 2 more answers
Find the lengths of the segments with variable expressions
nlexa [21]

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

5 0
3 years ago
A countertop is 16 feet long and 3 feet wide. what is the area of the countertop in square meters.
Mrac [35]
Area=legnth times width
legnth=16 ft
width=3 ft
but wait, they want the area in squazre METERS
so convert feet to meters
1 foot=0.3048 meters

convert 16 feet and 3 feet to meters

16 feet=16 times 0.3048=4.8768
3 feet=3 times 0.3048=0.9144

so the area is now
legnth=4.8768 m
width=0.9144m

area=4.8768 m times 0.9144 m=4.45934592
round
4.0
answer is 4 square METERS

4 m^2

8 0
3 years ago
A ball travels on a parabolic path in which the height (in feet) is given by the expression $-25t^2+75t+24$, where $t$ is the ti
evablogger [386]

Answer:

The height of the ball is at it's maximum 1.5 units of time after launch.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

h(t) = at^{2} + bt + c

If t is negative, the maximu value of h(t) will happen at the point

t_{MAX} = -\frac{b}{2a}

In this question:

h(t) = -25t^{2} + 75t + 24

So

a = -25, b = 75, c = 24

Then

t_{MAX} = -\frac{b}{2a} = -\frac{75}{2*(-25)} = 1.5

The height of the ball is at it's maximum 1.5 units of time after launch.

8 0
3 years ago
What fraction would you use to find 66.66% of 72?
Soloha48 [4]
I don't think you use a fraction. You multiply .6666 by 72 which equals 47.9952 or rounded 48. :)
6 0
3 years ago
Other questions:
  • Kaitlyn solved the equation for x using the following calculations. Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if
    12·1 answer
  • 2/3n =10 <br>solve for n
    5·2 answers
  • Any suggestions or answers
    10·1 answer
  • Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75 and each drink cost 50 cents. In total, Charli
    15·1 answer
  • tshirts at an outdoor market cost $4 each and shorts cost 10 each. You have enough money to buy exactly 15 tshirts and 12 pairs
    9·1 answer
  • Can anyone help me please
    11·1 answer
  • A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
    7·1 answer
  • Please help me please
    7·2 answers
  • Please hurry up .......
    15·2 answers
  • What are the measures of ∠CAB and ∠ACB in the figure?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!