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
professor190 [17]
3 years ago
15

Y is directly proportional to the square root of x

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

y = 20

Step-by-step explanation:

Given y is directly proportional to \sqrt{x} , then the equation relating them is

y = k\sqrt{x} ← k is the constant of proportion

To find k use the condition y = 32 when x = 64, then

32 = k\sqrt{64} = 8k ( divide both sides by 8 )

4 = k

y = 4\sqrt{x} ← equation of proportion

When x = 25, then

y = 4\sqrt{25} = 4 × 5 = 20

You might be interested in
What is the cost for 1.4lb item that is $1.58 per pound?
algol [13]
1.4•1.58= 2.212 is your answer because if it cost 1.58 per pound and it is 1.4 lbs your answer will be 2.212
3 0
4 years ago
Taylor and Nora go to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks
fgiga [73]

Answer:

The system if equation that can be used to derive this are

6x + 4y = 69 AND

12x + y = 96

The price of a drink is $7.5

Step-by-step explanation:

The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .

Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y

The first person made a purchase which led to the equation

6x + 4y = 69______ equation 1

And the second person also made a purchase that lead to the equation

12x + y = 96_____ equation 2

We make y the subject of the formula in equation 2 and apply it in 1

Y = 96 - 12x

Now apply the above in equation 1

6x + 4y = 69

6x + 4(96 - 12x)= 69

6x + 384 - 48x = 69

42x = 384 - 69

X = 315/42

X = 7.5

Substitute x= 7.5 in equation 2

12x + y = 96

12(7.5) + y = 96

90 + y = 96

Y = 6

Therefore, the price of a drink is $7.5

4 0
3 years ago
Read 2 more answers
Im really not sure with my answer, please tell which is the correct choice.
I am Lyosha [343]

Answer:

the orange one

Step-by-step explanation:

(10 + 10) : (5-3) =

20 : 2 =

10

5 0
2 years ago
Plz do both plz plz plz
shtirl [24]
The first one is A and the second is either B or D I can’t decide
4 0
3 years ago
10. Find the theoretical probability of rolling a number less than 4 on a standard number cube
snow_lady [41]
<h3>Answer:  1/2</h3>

Explanation:

Here's the event space

E = {1,2,3}

this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.

The sample space is the set of all possible outcomes, namely,

S = {1,2,3,4,5,6}

which is all of the values on the die. There are B = 6 items in this set.

Divide the values of A and B to get the theoretical probability:

P(rolling a number less than 4) = A/B = 3/6 = 1/2

6 0
3 years ago
Read 2 more answers
Other questions:
  • Algebra
    13·1 answer
  • What is 2 1/2 * -1/-4
    6·1 answer
  • Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles
    12·1 answer
  • What is equivalent to 36/54
    8·2 answers
  • Need help with number two only
    12·2 answers
  • Plz help me with the questions plz
    7·2 answers
  • A larger number is five more than twice a smaller number. Thier sum is 80. Find the number.
    13·1 answer
  • The formula AequalsPleft parenthesis 1 plus r right parenthesis squared gives the amount A in dollars that P dollars will grow t
    5·1 answer
  • 4÷6.12= <br> what is the answer?
    13·1 answer
  • Does anyone know the answer to this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!