The ratio of two number is 4:9.When 5 is subtracted from each of them,the new ratio becomes 3:8. Find the numbers.

Answers

Answer 1

Answer:

The numbers are 20 and 45

Step-by-step explanation:

Let the two numbers be a and b

The ratio of the two is 4:9

That means;

a/b = 4/9

9a = 4b •••••(i)

secondly;

Subtracting 5 from each gives a ratio of 3:8

(a-5)/(b-5) = 3/8

8(a-5) = 3(b-5)

8a - 40 = 3b - 15

3b - 15 + 40 = 8a

3b + 25 = 8a

a = (3b + 25)/8 •••(ii)

Insert this into 1

9(3b + 25)/8 = 4b

27b + 225 = 32b

32b - 27b = 225

5b = 225

b = 225/5

b = 45

From i;

9a = 4b

9a = 4 * 45

a = 4 * 45/9

a = 20


Related Questions

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot?

Answers

Answer:

The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot? A. It can be interpreted that about 50 percent of the campers are 8 years of age or younger.


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Kailey is thinking of two numbers. The larger number is equal to twice the smaller increased by 12. Two times the smaller number plus three times the larger is equal to 100. Let x = smaller number and y = larger number. What is the first equation in the system? Do not put spaces in your answer.

Answers

Answer:

y=2x+12

Step-by-step explanation:

We first double the smaller number (2x) and then increased it by 12 (+12), this makes the larger number y.

CAN SOMEONE PLEASE HELP ME!!!

Answers

Answer:

2/5, 3/7, and 2/11

Step-by-step explanation:

what is 3/7 as decimal

Answers

Answer:

0.428571429

Step-by-step explanation:

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.

Answers

Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as [tex]3.0\times 10^3[/tex]

Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch

Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches

1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches

In the figure shown the sum of the measures yxz and wxv is 75 degrees . what is the measure of zxw​

Answers

Answer: 105 = WXZ

Step-by-step explanation:

180 = WXZ + 75

subtract both sides by 75 and you get WXZ is equal to 105

I'm not 100% sure, lmk if I'm wrong

What is the slope for (4, -4) and (-4, -4)
A. Undefined
B. 0
C. -8/8
D. 8/8

Answers

I am 100% sure it’s B.

A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?

Answers

$19. 19 x 0.8 = 15.2

umm pls help me ik how to do it but not sure on this specific one

Answers

9514 1404 393

Answer:

  -8, +9

Step-by-step explanation:

You need factors of (6)(-12) = -72 that have a sum of +1.

From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.

  6x^2 +x -12

  = 6x^2 +9x -8x -12

  = 3x(2x +3) -4(2x +3)

  = (3x -4)(2x +3)

Can you guys help me!!!

Answers

Answer:

I guess its the 3rd one not sure

PLEASE HELP!!
Find AC

Answers

tan = opposite/adjacent

tan 30° = AC/25

25 tan 30° = AC

AC = 25 tan 30°

AC = 14.43375...

AC = 14.4 cm (nearest tenths)


Hope this helps!

please help with this question ​

Answers

Answer:  KL = 22

==========================================================

Work Shown:

The diagram is below.

In this diagram, we have KN and LM as opposite sides. For any parallelogram, the opposite sides are parallel (as shown by the arrow markers) and they are congruent to each other. In other words, KN and LM are the same length.

This means KN = LM and we can solve for x like so

KN = LM

3x-11 = x+15

3x-x = 15+11

2x = 26

x = 26/2

x = 13

Then we can find side KL

KL = 2x-4

KL = 2*13-4

KL = 26-4

KL = 22

Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

Learn more about mathematical operation, here:

https://brainly.com/question/20628271

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A newspaper invited readers to call a telephone number and record their comments. The next day they reported that readers overwhelmingly prefer two-way traffic flow to one-way streets. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample​ does anyone know the answer​

Answers

Answer: Self selected sample

Step-by-step explanation:

They people chose themselves

This is an example of:  B. A self-selected sample , Option B is the answer.

What is  a self-selected sample ?

A self selected sampling technique is one in which the researcher puts out a call or publicises so that individuals and organisations can take part in the survey on their own will which saves the time for searching for the appropriate people .

It is given that

A newspaper invited readers to call a telephone number and record their comments.

This is an example of:  B. A self-selected sample

Therefore Option B is the answer.

To know more about Self Selected Sample

https://brainly.com/question/27383518

#SPJ2

Let
cos
(
2

)

0.9994
What is the the value of
x
, in degrees, for
sin
(
x
)

0.9994
?

Answers

Answer:

can write it again soon as you can do it again

Enter the value of 12x-2 when x = 3.

Answers

Answer:

34

Step-by-step explanation:

12(3)-2

36-2

34

Answer:

im sorry if this is wrong but i think its 2

Fill in the blanks
A
integers.
is an algebraic expression that contains a variable to the power of one.
is an example.
is a rational number that is multiplied by a variable. A
is a number that can be written as the ratio, or fraction of two
in the expression is an example of a coefficient
are terms whose variables and their exponents are the same. One example is
and -7y.
2y
Like-terms
4
6x+5
linear-expression
4z
rational-coefficient
rational-number

Answers

Answer:

Step-by-step explanation:

okay here’s the answers in order

Linear-expression

6x+5

rational coefficient

rational-number

4

4z

Like-terms

2y

Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD

Answers

Answer:

27633883532

2732937293739

839364923274693

93730347395393649364

027402649249364

026393473849337

92739262926382

193

19632963286392

92539253925292

9279253285292

2283792

88248935392

926263925392

7363854276393

233

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

Solve for x Round to the nearest 100th if needed.
x/13 + 18 = 49

Answers

x
--- + 18 = 49
13


x
--- = 49-18
13

x
--- = 31
13

x = 31×13

x = 403

Answer:

2.4

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

Help me somebody please

Answers

it’s A because 25x4 is 100 then plus 40 is 140 and the 25x shows that the 25 is going to be multiplied or changed and the 40 just stays the same so it would be A, y=40+25x

please help i’m just trying to pass

Answers

Answer:

C- 2

Step-by-step explanation:

f(-2)=4x+10

= 4*(-2)+10

=-8+10

f(-2)=2

The mid point of ab is m(-2,-6) if the coordinates of a are (-1,4) what are the coordinates of B

Answers

Answer:

i hate thsi coordinate chapter its very difficult chapter u know

Graph the following features:
• Slope = 2
Y-intercept = -5

Answers

y = mx + b

y = 2x - 5

you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.

it should look like this:

hope this helps !!

The equation is y=2x-5

HELP ME!!!!!!!!!!! Its the one in the middle

Answers

Answer:

[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]

Step-by-step explanation:

BRAINLIEST PLEASE

6/1000 as a common fraction

Answers

This question isnt rlly descriptive but 6/1000 could be 3/500?

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

The area of a rectangle is 44m2. Work out the missing length x.

Answers

Answer:

Your answer is

How to determine length without width or other things.

11*4,,,

22*2

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

44=(L)ength x (W)idth

if x=length, x=44/W

if x=width, x=44/L

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