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

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

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 :)

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.


2. Given: m m m Find: m

Answers

Answer:

Take m 3 cube and find m.

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:

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

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

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:

–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:

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]

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

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).

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.

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

Answers

Answer:

57

Step-by-step explanation:

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

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 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 :]

8.16, 0.96, 8.24, 8.123 in order

Answers

Answer:

0.96, 8.123 ,8.16, 8.24

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

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

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

Answers

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 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

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

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.

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!

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

what is 10/3 divided by 2/3

Answers

Answer:5

Step-by-step explanation:

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

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

Answers

Answer:

Looking for an answer for this one

Step-by-step explanation:

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

Answers

Can we see the whole question
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