(y+3):(y+5)=k:1

show that y=(5k-3)/(1-k)

hence y=(5k-2)/(1-k)

Answers

Answer 1

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k


Related Questions

Recall the method that the video showed to solve Gavin’s word problem. The video showed how we can use numerical expressions (with the help of a diagram) to arrive at a solution.

Compare the expression method from the video with the equation method that uses the variable b. Do both methods use the same sequence of operations?

Answers

Answer:    

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

Step-by-step explanation: hope this helps :)

The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.

Answers

Based on the information given the tax rate if the house was valued at $100,000 is 60%.

Let $600= x%

Let $100,000=100%

Let the tax rate=x

Proportion:

600/100,000=x/100

Hence,

x=600×100/100,000

x=60,000/100,000

x=60/100

x=0.6%×100

x=60%

Inconclusion  the tax rate if the house was valued at $100,000 is 60%.

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The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.

What is property tax?

The property tax is the levy imposed on the assessed value of the property of an individual or corporation.

Property tax is usually levied as a percentage of the assessed value.

Data and Calculations:

Property tax = $600

House value - $100,000

Tax rate = 0.6% ($600/$100,000 x 100)

Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.

Learn more about property tax at https://brainly.com/question/5428406

The quotient of 2 numbers, p and q

Answers

Answer:

2p/q

2q/p

q/p=2

p/q =2

Step-by-step explanation:

Here are some possible answers. The way your statement is formated in does not ask a question nor does it provide enough information for one to deduce what the question was.

Help help math please I don’t understand

Answers

Answer:

45°

Step-by-step explanation:

it's a mirror angle to the known angle

If the measure of angle 1 is 45°, what is the measure of angle 11 in degrees.

Answers

120 degrees I hope you’re helping


Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?

Answers

Answer:

Step-by-step explanation:

A∩B = 4

4 is in both set so it unites them therefore it’s the union

Graph the function g(x) = 2x2 + 8x - 1

Answers

Answer:

(-2,-9)

(0,-1)

Step-by-step explanation:

I solved in desmos.

1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]

Answers

Answer:

[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]

28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?

Answers

Answer:

not

Step-by-step explanation:

because negetive plus negative will equal negative and bot positive

if this is multiplication yes it does apply...-1×-1=1

Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $140 and is on sale for 15% off. Sales tax is 7%.


Victoria says that she has enough money to buy the skateboard. Is she correct?

Answers

The Answer is No. Further explanation in Attachment

Pre college need help with this question

Answers

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

Astudent built a scale model of his house using a scale in which 3 inches represents 15 feet.The height of his real house is 45 feet.What is the height of the scale model in inches?
NEED HELP ASAP

Answers

Answer:

9 inches

Step-by-step explanation:

1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS

Answers

Answer:

The answer is -.17 and that is rounded to the nearest hundredth.

Step-by-step explanation:

Let me know if you need it!

round to nearest ten thousand
887,173​

Answers

887,000

if the number after is below 5, round down!

Solve for x. 2^4x-7=16

Answers

Answer:

23/16

Step-by-step explanation:

2*4 x x-7 = 16

16x - 7 = 16

16x = 16 + 7

16x = 23

x = 23/16

Give me a rating XD <3

20. Marissa has a $50, $20, $10, $5, and $1 bill in
her wallet. She takes the bills out and
randomly line them up. What is the
probability that the first bill is greater than
$5?

Answers

Answer: I believe it would be 60% tell if I am wrong

Step-by-step explanation:

The probability of getting first bill is greater than $5 is 1/5 or 0.2

Probability:

The probability of any event is the mathematical possibility of that event.

Probability is always lies between 0 to 1

Sure event has probability 1 while impossible event probability 0

The formula for probability is

Probability = [tex]\frac{number of favorable event}{total number of event}[/tex]

How to find probability?

Here the total event is

S = {$1, $5, $10, $20, $50}

Total number of events = 5

The probability of find greater than $5 is

Probability = 1/5 = 0.2

Hence the final answer is 0.2

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divide,write in simplest form 6 1/2 divided by 3/4

Answers

Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

[tex]\frac{13}{2} /\frac{3}{4}[/tex]

Reciprocal:

[tex]\frac{13}{2}*\frac{4}{3}[/tex]

Simplify:

[tex]\frac{13}{1}*\frac{2}{3}[/tex]

Solve:

[tex]\frac{26}{3}=8\frac{2}{3}[/tex]

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.

Answers

500 = 2.75c


500 is your total, 2.75 represents the price of a singular box, and c is how many boxes sold.


Hope this helps!

Answer:

500=2.75c

Step-by-step explanation:

500= 2.75c

Isolate c by dividing 2.75 on each side

500/2.75 =181.818181818 which is about 181.8

So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.

Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume

Answers

I don’t know if this is right but I think the volume is 226.19 in!!


What is the value of
negative 3/4 with negative 4 as a exponent

Answers

Answer:

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

Step-by-step explanation:

[tex](\frac{3}{4} )^-4[/tex]

[tex](\frac{4}{3} )^4[/tex]

[tex]\frac{4^4}{3^4}[/tex]

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

:)

I hope this helps

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

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Which of the following statements are true? Select all that apply.

A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Answers

The true statement are

2. <1 + <3 = 180 because form a straight angle.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

What are parallel lines?

Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As, from the figure

1. <3 = <2 because of vertically opposite angle.

Hence, it is false

2. <1 + <3 = 180 because form a straight angle.

Hence, it is true.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

Hence, it is true.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Hence, it is true.

Learn more about parallel lines here:

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Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2

Answers

Answer:

5b2 - b -2

Step-by-step explanation:

The answer is (c)

The answer is: C

5b^2-b-2

-57 = 16 + 5m
What does m=

Answers

Answer:

m = -14.6

Step-by-step explanation:

Given Question:To find the value of m

Given Equation:-57 = 16 + 5m

Solution:

=> -57 = 16 + 5m

=> 16 + 5m = -57

(On subtracting -16 from both sides)

=> 16 + 5m - 16 = -57 - 16

(On Simplification)

=> 5m = - 73

(On dividing both sides with 5)

[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]

(On Simplification)

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

Seven less than twice a number is 43. What is the number?

Answers

Answer:

25

Step-by-step explanation:

x = the number

2x - 7 = 43

    +7      +7

-----------------

2x = 50

------------

2        2

x = 25

Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours

Answers

Answer:

3.5: 0.75 is the aswee

Step-by-step explanation:

I just turned into improper then decimal

pls give me brainliest

I need help this is easy tho!

Answers

the answer is false

Answer:

it is true

it's a quadralateral

6+z=10
p-5=15
4+m=12

y-4=19
b-17=12
3=d+2

Please Show your Work​

Answers

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

What type of angle of this?

Answers

Answer:

angle x is equal to 60º so its an acute angle

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

obtuse angle is 180 degres so you subtract the amount that you see and you will get x. This only works for questions like this contact me if you need more help with questions like these

180-120=60

A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)

Answers

45in/ 15 sec= 3in/sec

12in/ 3 sec = 4 in/sec

The snail moves at a faster rate then the ant does

Answer:

the snail

Step-by-step explanation:

in order to find who is faster you have to find how many inches each one does in one sec

Ant= 45/15 which is 3 inches per sec.

snail=12/3 which is 4 inches per sec.

so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs

I hope this helps

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