The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

Answers

Answer 1

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10


Related Questions

5. Find the value of x. *
2 points
95
150
470
250
70
85

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Answer:

Looking for an answer for this one

Step-by-step explanation:

2+2=FISH????????????? XD

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Answer:

correct answer is 4 fish

Step-by-step explanation:

4 is the perfect number

Answer:

Yes

Step-by-step explanation:

Here is an ugly drawing of it......

A clothing store is going out of
business and everything is 75% off.

Answers

Answer:

Cool where the rest of the problem

Step-by-step explanation:

What is the equation of the line that passes through the point (4, 7) and has a slope
of 0?

Answers

Answer:

I think it's y= 7

if you put it into a graph calculator such as desmos it passes straight through (4,7) and has a slope of 0

Hope this helps have a wonderful day :)

Given f(x)=2^x and g(x)=f(x-3)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.

Answers

Answer:

The first thing we do is find out what f(x-3) is[tex]f(x)=2^x\\f(x-3)=2^{x-3}[/tex] this is can be simplified using the rules of exponents[tex]f(x-3)=2^{x-3}\\f(x-3)=2^x\div2^3\\f(x-3)=\frac{2^{x}}{8}[/tex] Then we put that into g(x) [tex]g(x)=f(x-3)+4\\g(x)=\frac{2^{x}}{8}+4[/tex] The first transformation is at f(x), where it is divided by 8, and then inserted into g(x) which increases the new transformed f(x) by 4

A graph showing an increase in sales over time would have an)
a. positive slope
C.
undefined slope
b. negative slope
d. slope of 0

Answers

Answer:

A positive slope

Step-by-step explanation:

If sales are increasing then the income should increaseing and positive.

HEEEEEEEELLLLLLLLPPPPPPPPP!!!!!!!!!!!!
A Toyhouse is 3 and 1/2 inches long, what would the length of the house if it was life-sized.
ILL GIVE BRAINLIEST IF THE QUESTION IS CORRECT!!!!

Answers

70ft bc 3.5inchs x 20 = 70 and u gotta add the unit, so its 70 ft!

Which graph represents –4 + 3i?

Answers

Step-by-step explanation:

you may need to show what the graphs look like.

Graph represents -4+3i is shown in the figure

What is graph?

A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related",

Given,

-4+3i

Here -4 is in real axis and 3 is in imaginary axis

Graph is shown in the figure,

Hence, the graph of the -4+3i has been plotted

Learn more about Graph here

https://brainly.com/question/16608196

#SPJ2

–9.4 >(greater than or equal to) 1.7x + 4.2.

Answers

Answer:

negative 8

Step-by-step explanation:

Answer:

A, or x < -8 (:

Step-by-step explanation:

If y = -5x - 8, choose all the solutions.

Answers

Can we see the whole question

CAN SOMEONE HELP ME PLZ ASAP >_<
dont spam ;p

Answers

Answer:

(5, 3)

Step-by-step explanation:

since you're reflecting across the x axis only the (y) value will change and since the y was originally negative (-3), it now becomes positive but doesn't change in value (3).

what is 10/3 divided by 2/3

Answers

Answer:5

Step-by-step explanation:

9. Which of the following triplets are Pythagorean?
(i) (10,24,26)
(ii) (14,48,50)
(iii) (18,79,82)
(iv) (22,120,122)​

Answers

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]

[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]

[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]

[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]

Explain the difference in meaning between 10 x 4 + 5 and 10 x (4 + 5)

Answers

Answer:

10x4+5

40+5

45

10x(4+5)

10x(9)

90

Step-by-step explanation:

Answer:

-

Step-by-step explanation:

10 x 4 + 5 means that you multiply first, then add as per PEMDAS

10 x (4 +5) means that you add first, then multiply.

F(-8)=7(1-8) answer needed asap

Answers

Answer:

57

Step-by-step explanation:

Let’s say you go to the store and you want to buy cheese and you find out for 1 pound it’s $3.10 and you buy 2.3 pounds. What is the cost?

Answers

$7.13 hope this helps


2. Given: m m m Find: m

Answers

Answer:

Take m 3 cube and find m.

Jose earns $3680 per month, of which 22% is taken out of his paycheck for federal and state income taxes and other required deductions. Last month he spent $755 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined?

Answers

Answer:

29.30%

Step-by-step explanation:

Total Monthly earnings of Jose = $3680

22% is paid for federal and state income taxes and other deductions.

Take-home salary for Jose is total earnings minus the taxes and deductions.

Take-home salary = $3680 - 22% of $3680

Take-home salary = $3680 - $809.6 = $2870.4

Money spent on rent = $755

Money spent on clothing = $86.12

Money spent on rent and clothing combined = $841.12

Percentage of a quantity is given as the quantity divided by the total quantity multiplied with 100.

Therefore,

Percentage of take-home pay spent on rent and clothing:

[tex]\dfrac{841.12}{2870.4}\times 100 = \bold{29.30\%}[/tex]

A dry cleaner charges $5.00 to clean one item. He offers to clean a second item for $4.50, and a third for $4.00. If he continues to subtract $0.50 for each additional item, how much will it cost to clean six items?


MARKING BRAINLEST IF HURRY

Answers

Answer:$2.50 to clean 6 items

Step-by-step explanation:

$5.00-0.5=$4.5= 2 items

$4.5-0.5=$4= 3 items

$4-0.5=$3.5= 4 items

$3.5-0.5=$3= 5 items

$3-0.5=$2.5= 6 items

5+4.5+4+3.5+3+2.5 = 22.5

The local newspaper has letters to the editor from 80 people. If this number represents 4percent of the newspaper's readers, how many does the newspaper have?

Answers

Answer:

2000 newspaper readers

Step-by-step explanation:

Let the total number did newspaper readers the local news paper has be represented by x

Therefore,

4% of x = 80 people

Hence,

4/100 × x = 80

4x/100 = 80

Cross Multiply

4x = 100 × 80

4x = 8000

x = 8000/4

x = 2000 people

Therefore, the number of people the newspaper has is 2000 newspaper readers

8.16, 0.96, 8.24, 8.123 in order

Answers

Answer:

0.96, 8.123 ,8.16, 8.24

Step-by-step explanation:

how to find 18% of 3000​

Answers

Answer:

the answer is 540

Step-by-step explanation:

Hope this helps, have a good day

it’s 540

you multiple 0.18 by 3000
.18 x 3000 = 540

A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consisted of 206 stores. If the number of stores opening per year is increasing at an exponential rate, identify the continuous rate of growth. Round k to the nearest hundredth. *

Answers

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

[tex]\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621[/tex]

Hence the value of k to the nearest hundredth is 0.66

Four friends go to the movies.Each movie ticket costs $8.They buy 2 tubs of popcorn for $6 each.They also buy a box of candy to share for $4.They friends want to split the total cost evenly.How much does each friend owe?

Answers

Answer:

$ 4 i believe

Step-by-step explanation:

Answer:

Each friend owes 12 Dollars

Step-by-step explanation:

After adding all the cost up, the total cost was 48. And 48 divided by four is 12.

There are 37 cans of pinapple on each shelf at foodmart. if there are 7 shelves of pineapple, estimate the number of cans of pineapple at foodmart by rounding the number of cans on a shelf to the nearest ten

Answers

answer may be 260 cans if estimate

Step-by-step explanation:

1 shelf = 37 cans

7 shelves = 37× 7

estimate ~ 260 cans

1 2 3 or 4 ? someone help

Answers

Answer:

4

Step-by-step explanation:

combine the ones with the x first: 16/4x+1/4x = 17/4x

combine the ones with the n: -1/5n+1/3n = -3/15n+5/15n = 2/15n

combine: 17/4x+2/15n (17/4 is also equal to 4 1/4)

4

It would be 4

Answer:4

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?

Answers

Answer:

Roller skates speed = 9 miles per hour

Bike speed = 17.5 miles per hour

Step-by-step explanation:

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.

Speed = Distance(miles)/Time(hours)

Convert 5 minutes to hour

60 minutes = 1 hour

5 minutes = 5/60

= 1/12 hour

Hence, his speed =

3/4mile ÷ 1/12

= 3/4 × 12/1

= 9 miles per hour

On his bike, he can travel 3 1/2 miles in 12 minutes.

Convert 12 minutes to hour

60 minutes = 1 hour

12 minutes = 12/60 = 1/5

Hence, his speed =

3 1/2 mile ÷ 1/5

= 7/2 ÷ 1/5

= 7/2 × 5/1

= 35/2 miles per hour

= 17.5 miles per hour

A construction company bought 5/6 of a pound of sand and mixed it with 2 2/3 pounds of cement. A construction worker used 1 1/3 pounds of the mixture. How much of the mixture is left?


Help me please! I also need proof you are right in the explanation!

Answers

It’s easier than you think, just don’t overthink it. You’re fine.
I think I’m right, but here;
5/6 + 2-2/3 = 3 1/2
Then you subtract how much the person used,
2-2/3 - 1-1/3 = 1 - 1/3 or 1.3333333 (repeated)

I think. It came out as a repeated decimal, but I just put it in fraction form.

I hope this helped :]

URGENT
If you are given 8 gallons of water, approximately how many liters is that? (You know 1 pt = 0.47 L and there are 8 pints in a gallon). 30 02 O​

Answers

Answer:

30.2833 liters.

Step-by-step explanation:

The answer is 30.2833 because 1 gallon is equal to 3.785 and that multiplied by 8 is 30.2833

Answer:

30.28329424 if you want the approximate I believe it'd be 30.3

Step-by-step explanation:

Triangle MNO is dilated using a scale factor of 3 with the origin as the center of dilation.
What are the coordinates of point N in the dilated image?
A. (7,9)
B. (9,7)
C. (12, 18)
D. (18,12)

Answers

Answer: a

Step-by-step explanation:

I say a because I know it’s a

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