3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?
А. 7 B. 9 C. 18 D. 25 ​

Answers

Answer 1

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer 2

Answer:

B

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 when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9


Related Questions

A zebra can run at a constant speed of 0.6 miles per minute. How far can a Zebra run in 30 minutes.

Answers

Answer:

18 miles

Step-by-step explanation:

0.6 *30 = 18

Solve.
- 7x2 + 7x + 1 = -8
Choose 1 answer:

Answers

Answer:

x=11

Step-by-step explanation:

The exchange rate in London is £1 = €1.14
The exchange rate in Paris is €1 = £0.86
Tony wants to change some pounds into euros.
In which of these cities would Tony get the most euros?
All working must be shown.

Answers

Answer:

Paris

Step-by-step explanation:

In London we get

£1 = €1.14

In Paris we get

£0.86=€1

dividing both sides by 0.86 gives:

£1 = €1/0.86=€1.16 in Paris

so in Paris you get more € for the same £1

Factor out completely 12b + 20bc

Answers

Answer:

4b( 3+5c)

Step-by-step explanation:

12b + 20bc

We can factor out what is common to both terms

4b*3 + 4b*5c

4b( 3+5c)

Mr. Munch drove 169 miles in 1 hour and 30 minites how many miles was he going

Answers

Answer:

112.67 mph

Step-by-step explanation:

Given that:

Miles driven = 169 miles

Time taken = 1 hour 30 minutes = 1.5 hours

Speed or rate = distance traveled / time taken

Speed = 169 miles / 1.5 hours

Speed = 112.6667

Hence, Mr. Munich was going with a speed of 112.67 miles per hour.

Helppppppp I am so dumb sorry

Answers

Answer: I think the asnwer is c

Step-by-step explanation:

I suggest this because when your looking at the two different triangles your looking at the sides and the whole shape

C provides the similarly

Corinne’s new dog pen is a rectangular pen that measures 12 yards by 4 yards. She reduced the area of her old rectangular dog pen by 60% after adopting out 6 puppies. List some possible dimensions of Corinne’s old dog pen. Explain your reasoning.

Answers

Answer: Check Explanation

Step-by-step explanation:

The current area is 12x4 which is 48yards^2. 60 percent of that is 48x0.4=19.2. Now you can just put some random numbers that when multiplied = 19.2. For ex. 2 and 9.6, 4 and 4.8.

x+4/-2=-1
how to solve this problem​

Answers

Answer: = 1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

x + 4 ÷ -2 = -1

x + -2 = -1

x = 1

Moneysaver's Hank offers savings account that eams 3% interest compounded continuously. If Lucy deposits $1200, how much will have in the account after six years, assuming she makes no withdrawals?

Answers

Answer:1442.41086

Step-by-step explanation:

So first it would continue 3% higher so not 18% higher

first 3% higher 1200

So 1236

Then 3% of 1236

so 1273.08

The 3% of that to 1311.2724

The 3% of that to 1350.61057

The 3% of that to 1400.39889

The 3% of that to 1442.41086

Answer:

1251

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=1200, r=0.014, and t=3. Substitute the values into the formula and simplify.

A=1200e0.014⋅3

A=1200e0.042

A=1200(1.0428...)

A=1251.47

Therefore, after three years, the balance in the account is A≈1251.

Solve the equation -16(d+1) = -20.

Answers

Answer:

[tex]d=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-16(d+1)=-20[/tex] (given)

[tex]-16d-16=-20[/tex] (expand the brackets)

[tex]-16d=-4[/tex]

[tex]d=\frac{1}{4}[/tex]

Hope this helps :)

Answer:

d = 1/4

Step-by-step explanation:

- 16 (d + 1) = - 20

- 16d - 16 = - 20

- 16d = -20 + 16

- 16d = - 4

d = [tex]\frac{-4}{-16}[/tex]

d = [tex]\frac{1}{4}[/tex]

PLS HELP WILL GIVE BRANLIEST

Answers

Answer:

D) y = 3/4x + 14

Step-by-step explanation:

The slope is 3/4 and parallel line have the same slope and the y-intercept is 14 so the point is (0, 14).

Hope this helps. Pls give brainliest.

SOMEONE HELP ME IS THIS DUE AT 8 pm

Answers

Answer:

he has 2 points after the third round

Step-by-step explanation:

5-5=0

0+2=2

it costs $19.20 for a pack of 8 padlocks
find the unit price in dollars per padlock.
if necessary, round your answer to the nearest cent.

Answers

Answer: $2.40

Step-by-step explanation: 19.20/8

The answer you get is going to be the price per padlock.

Mike works in the sales department for sporting goods company. Mike gets a 10% commission on every tent he sells. If Mike sold 251 tent at $90 each, how much money did mike make?

Answers

Answer: $22,590

Step-by-step explanation: If he sold 251 tents for $90 EACH then that means 1 tent = $90 so if he were to sell all 251 tents he would have $22,590 because $90 x 251 = $22,590

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions

Answers

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in  [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

On Tuesday, Mr. Miles walked 2/9 of the trail to warm up and then he ran 4/6 of
the trail. What fraction of the trail did Mr. Miles cover on Tuesday?

Answers

Answer: 8/9

Step-by-step explanation:

From the question, we are informed that On Tuesday, Mr. Miles walked 2/9 of the trail to warm up and then he ran 4/6 of the trail.

The fraction of the trail that Mr. Miles covered on Tuesday would be the addition of both fractions. This would be:

= 2/9 + 4/6

Note that the lowest common multiple of 9 and 6 is 8. Therefore,

= 2/9 + 4/6

= 4/18 + 12/18

= 16/18

= 8/9

He covered 8/9 of the trail

Sandy has 15 roses, 5 daisies, and 10 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer:

5

Step-by-step explanation:

Sandy has 15 roses, 5 daises and 10 tulips

She wants to arrange the flower in such a way that each bouquet will have the same flower in it

Therefore the greatest number of flowers that will be in each bouquet is 5 flowers this is so inorder to make each bouquet contain equal number of flowers, this means that one bouquet must not be greater than the other.

And a survey 1500 people who owned certain type of car 600 said they would buy that car again what percent of the people surveyed were satisfied with the car

Answers

Answer:

6%

Step-by-step explanation:

A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee? Write and solve an equation for the situation.

Answers

I hope this helps you out!!

Nate paid $16.20 for a shirt, including tax. The sales tax was
8%. What was the original cost?

Answers

Answer:

9.30

Step-by-step explanation:

Elght times a number increased by 9 Is the same as 15 more than 7 times the number ?

Answers

Answer:

:let x = the number

then 8x + 9 = 9x

solving, x = 9

Proof: (8 x 9) + 9 = 9 x 9; 72 + 9 = 81, and 81 = 81

Plz help me Find the Slope to (1,-2),(6,2)
Also (2,5),(6,2)
And (4,9),(1,6)

Answers

4/7 for the first one.
-3/4 (-0.75) for the second one.
-3/-3 (1) for the third one.

Please help, if you don’t know, don’t answer.

Answers

Answer: 1

Step-by-step explanation:

NEED HELP! ITS DUE NOW!

Triangle PQR is transformed to similar triangle P’Q’R’:


What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5

Answers

Answer:

oi bruv

Step-by-step explanation:

what is the opsilute value for 27/90 and 100/99

Answers

Answer:

3 /10

Decimal Form:

0.3

Step-by-step explanation:

what is the constant of proportionality between the mass and the amount of stretch​

Answers

Answer: b

Step-by-step explanation:

Hep help please please

Answers

Answer:

The answer is 0, 5.25

Step-by-step explanation:

Jocelyn goes to two different stores to buy jeans. Both stores are having a sale. At Store A, jeans are regularly priced at $42 but are on sale for 30% off. At Store B, jeans are regularly priced at $40 but are on sale for 25% off. Which of the following is true about the situation?

A.Store A has the better price because the 30% is greater than 25%.
B.Store A has the better price because the sale price is $0.60 less than the sale price at Store B.
C.Store B has the better price because $40 is less than $42.
D.The sale price is the same for both stores.

Answers

Answer:

The answer is C

Step-by-step explanation:

I took the quiz

c..............................

Celine works twice as many hours as she spends in class she studies 4 hours for every hour in class to maintain her health and sanity she limits her total time commitment to work and school to 70 hours per week how many hours does she plan to spend on each activity​

Answers

Answer:

she will spend 10 hours in class 40 hours studying and 20 hours working

Step-by-step explanation:

if u simply start at 1 hour of class u get to see the pattern example:

class. study. work

1 4. 2

she works twice as long as she is in class and studies 4 times longer than in class so for every hour she is in class do the math for this condition. for every class hour multiply by 4 to get her study time and then multiply her class hour by 2 to get her work hours. keep going until the total time of all activities adds to 70

2
A line is defined by the equation Y =
3x-6
The line passes through a point whose y-coordinate is 0. What is the x-
coordinate of this point?
8
--6-43
31
4878
X

Answers

Step-by-step explanation:

y= 3×-6

put y = 0

0= 3x- 6

3 X = 6

X=-2

so the point is (2, 0 )

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