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Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =

Answers

Answer 1

Answer:

15/2

Step-by-step explanation:

y varies directly as x can be written as:

y & x

y = Kx

K = y/x

But from the question, we were told that:

y = 10

X = 20

K = y/x

K = 10/20

K = 1/2

The formula for the expression is:

y = Kx

y = 1/2 x

Now let us solve for y, when:

x = 15

y = 1/2 x

y = 1/2 x 15

y = 15/2

Answer 2

Answer:

When x = 15, y = 15/2

Step-by-step explanation:

Formula:  "y varies directly with x" comes out to y = kx symbolically.

Find the value of the constant of proportionality, k:  If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.

Then the formula is y = (1/2)x.

When x = 15, y = 15/2


Related Questions

in the united states 16 out of every 20 cans are recycled what percent of cans are recycled

Answers

Answer:

80%

Step-by-step explanation:

First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%

Answer:80%

Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation

Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)

Answers

She receives $1.65 cents

Rectangle A and rectangle B are similar. Rectangle A has a width of 5cm and length of 8cm. Rectangle B has a width of 10cm. What is the length of rectangle B?

(with explanation please)

Answers

The answer is 16.

Since the rectangles are similar, the ratio of their height and width will be the same

The width of rectangle B is 10, which is 2 x the width of rectangle A

So the length will also be 2 x the length of A

2 x 8 is 16

What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?

Answers

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

Solve the inequality-8≤3x-17<19

Answers

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

The product of double the number four

!!!Translate the following sentence into a variable expression!!!

Answers

Product is the multiplication so doubling 4 will be 8

NEED HELP ASAP ALGEBRA 2

Answers

Answer:

3.5hours

Step-by-step explanation:

7 hours is the max but divided by 2 people it is 3½ hours

x = 16 - 4y
3x + 4y =8
substitution method

Answers

Answer:

i think x = -4, y = 5

Step-by-step explanation:

x = 16 - 4y

3x + 4y = 8

3(16 - 4y)+4y = 8

48-12y+4y = 8

48-8y = 8

48-8 = 8y

40 = 8y

5 = y

so

x = 16 - 4y

x = 16 - 4(5)

x = 16 - 20

x = -4

HELP SOLVE THIS QUICK
y = 6x + 20
y = -4x + 150

Answers

Answer:

13

Step-by-step explanation:

set equations equal to each other and solve for x

6x + 20 = -4x + 150

10x = 130

X = 13

16. The perimeter of a rectangular garden is 90 feet. The gardens lengin s5 feci less than 4 messen What are the length and width of the garden?​

Answers

9+10 equals whatever it was just the amount you paid and it didn’t even get to me until you were doing the right things I don’t

400+5 please help me

Answers

Answer:405

Explanation 400+5=405

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

Factorise fully 2ab^3+ 8a^2b

Answers


That is the answer :)

The factorization of the given expression is 2ab(b²+4a).

The given expression is 2ab³+8a²b.

What is factorization?

A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.

The given expression can be factorize as follows:

2ab³+8a²b

Here, 2ab is the common factor from both the terms, Take it out side the bracket.

That is, 2ab(b²+4a)

Therefore, the factorization of the given expression is 2ab(b²+4a).

To learn more about the factorization visit:

https://brainly.com/question/20293447.

#SPJ2

(2x²+6x-3)+(3x²-8x-6)​

Answers

[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]

Answer:

3x + 1

 ——————

   2x  

Step-by-step explanation:

https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/

it will give you the step by srep explaation

the sum of two consecurivenodd numbers is twenty four find the numbers

Answers

Answer:

the numbers are (11,13)

Plz help. I need this by tomorrow or I’ll get detention.

Answers

[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]

The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation. Please help 100 points and branliest.

Answers

[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]

One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.

Answers

Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.

A single gallon is equivalent to 3.875 liters.

If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:

= Gasoline in gallons x Number of liters per gallon

= 1.5 x 3.875

= 5.8125

= 5.8 liters

In conclusion, Mario bought 5.8 liters of gasoline.

Find out more at https://brainly.com/question/237650.

[tex]\boxed{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2} }[/tex]

- Need a step-by-step answer!
- Thank you!

Answers

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]

Take LCM as 1-n^2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]

1+2..n=n(n+1)/2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]

[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}

[/tex]

Answer:

[tex] \frac{ - 1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

2a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression​

Answers

Answer:

2a7-1

Step-by-step explanation:

How many solutions does the following equations have |6x+12|= 12 |6x+12|= -1 |6x+12|= 0 show steps to sloving. How do you know the number or solutions?

Answers

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon

Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98

Answers

C) 88

Explanation: trust me

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

Solve the system of linear equations by substitution
6x-9=y
y=-3x

Answers

Answer:

x=1, y=-3. (1, -3).

Step-by-step explanation:

6x-9=y

y=-3x

-----------

6x-9=-3x

6x-(-3x)=9

6x+3x=9

9x=9

x=9/9

x=1

y=-3(1)

y=-3

I will report you if you send a link ;-; help correctly.

Answers

Answer:

the correct is 39

Step-by-step explanation:

there is nine number there so the fifth is it and it was in order that helped alot

What do u get after dividing the sum of 352 and 698 by 5

Answers

Answer:

the answer to the question is 210

In the partially shown sequence: …, 17711, A, B, 75025, …, each new term is the sum of the two previous terms. Find the whole number value of A. I GIVE BRAINLIEST!

Answers

Answer:

24513

Step-by-step explanation:

Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?

Answers

First of all why is she riding a dirt bike we have cars in 2021

how to find vertical asymptotes and horizontal asymptotes

Answers

Answer:

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Step-by-step explanation: Correct me if i'm wrong lol.

the triangles are similar. what is the value of x? enter your answer in the box.

Answers

Answer:

l*b*h is the answer of this question

PLS HELP ME ON THIS MATH PROBLEM ASAP

Answers

Answer:B

Step-by-step explanation:

This is because -3 is going to multiple numbers, which cannot happen in a function.

Cost to cross the bridge(one-way): Truck (2 or 3 axles): $3.00 Truck (4 or 5 axles): $6.25 Truck (6 or more axles): $10.00. One morning, 3 trucks, each with 5 axles, and 1 truck with 8 axles, crossed the bridge in one direction. write a math problem and solve it to answer. HOW MUCH WAS THE TOLL FOR THE CROSSING OF THE BRIDGE.​

Answers

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

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