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

why do the angles in a triangle add up to 180 degrees?

Answers

Answer:

Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.

Step-by-step explanation:

Hope that helps!

Answer:

Let N equal the number of angles in the polygon

Use the formula:

(N x 180)-360 = the sum of all the angles in the polygon

A triangle has 3 angles so:

(3 x 180)-360=180 degrees

(this formula works for any polygon, regardless of the number of it's angles)



You rent a canoe for $4.50 per hour. Your cost before the tax is added is $18. Write an equation to find the number of hours H that you retend the canoe

Answers

Answer:

total cost = cost/hour x hours

$18.00 = ($4.50)(X hours)

X=4 hours

Step-by-step explanation:

total cost = cost/hour x hours

$18.00 / 4.50=4 hours

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

Samuel bought 8 shirts for a total of $58. If tee shirts cost $6 and long sleeve shirts
cost $11, how many of each type of shirt did he buy?*

Answers

so he brought 5 $6 shirts and 2 $11 shirts

please help giving all my points

Answers

Answer:

Step-by-step explanation:

1. Subtraction

2.multiplication

Answer:

number 2. is Subtraction Property of equality and number 3 is multiplication property of equality.

Step-by-step explanation:

x^2y+y^2-30x+221=0 find the radius ​

Answers

Answer:

2

Step-by-step explanation

Let's complete the square. We get:

(x^2-30x)+y^2+221=0

(x^2-30x+225)+y^2+221-225=0

(x-15)^2+y^2-4=0

(x-15)^2+y^2=4

By analyzing this, we see that the radius is just :[tex]\sqrt{4}[/tex]=2

3(x+5)+3(x+5) help! Please

Answers

Answer:

=6x+30

Step-by-step explanation:

happy to help ya :)

Urgent please help..

Answers

Answer:

72

Step-by-step explanation:

Will give Brainly! Please help!

Answers

Answer:

The answer is option c.

Hope this helps!

SMART PPL HELP HELP PLEAse

Answers

Answer:

help with what

Step-by-step explanation:

Answer:

did you mean to post a question?

Step-by-step explanation:

The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next

Answers

Answer:

Step-by-step explanation:

b

Answer:

it's C bro i just took it

8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4

Answers

Answer:

0 1.4 is the answer

Step-by-step explanation:

well if you round thats why

Answer:

71.4

Step-by-step explanation:

Looked it up

PLZ HELP ME PLZ I NEED IT

Answers

Answer:

Step-by-step explanation:

The intersection occurs at the point (3,-3) so those are the coordinates.

how many solutions 9x +2y =9 / -3x + y=2
Answer choices-
1 solution
No solution
Infinite solutions
the solution to the system is (1,3)
the solution to the system is (3,1)
the solution to the system is (1/3,3)

Answers

Answer:

Maybe the sum was a simultaneous equation....if so, this is the solution.

and the answer comes (1/3, 3)

Hope it helps! :)

8 x ÷ 4 = 100 What is the value of x in the equation?
5
A. 5
B. 25
C. 50

D. 200

Answers

Answer:

Hi there. I had put a comment replying to your question as I didn't see any place that I could answer. If you still need it, then the answer was

C. 50

Step-by-step explanation:

8 * 50 = 400

400 / 4 = 100

In any way possible, I hope this helps you! Have a great day!

Which of the following is a rational number? Select all that apply.

A. √1
B. √3
C. √4
D. √5
E. √8
F. √9

Answers

Answer: The numbers that are rational numbers are A, C, and F.

Step-by-step explanation: This is because all non-perfect square roots are always irrational. Also, perfect square roots are always RATIONAL. Therefore, the rational numbers of the choices given are [tex]\sqrt{1} , \sqrt{4}, \sqrt{9}[/tex]

Answer:  A, C, and F. √1 √4 √9

Simplify the following
(1 1/2) ^-2​

Answers

Answer:

1/2.25 or 4/9

Step-by-step explanation:

Which is bigger 8 kg or 850 grams



Which is bigger 1 kg or 1000 grams



Which is bigger 3 liters or 3500 milliliters




Which is bigger 5 liters or 520 milliliters





PLZ ANSWER ALL 3 WILL GIVE 15 PIONTS

Answers

A) 8 kilograms. 850 grams is only equal to .85 of a kilogram.

B) Neither. 1000 grams is the same as 1 kg. Kilo means 1000.

C) 3500 milliliters. Milli also means 1000, so it is equal to 3.5 L.

M is the midpoint of AB. If A ( 4,0) and M (2, 1.5), then find the coordinates of B

Answers

Answer:

Step-by-step explanation:

(4 + x)/2 = 2

4 + x = 4

x = 0

(x + 0)/2 = 1.5

x + 0 = 3

x = 3

(0, 3)

answer is C

În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu​

Answers

Answer:

ab hyppotenusejabqianahqiwnna. jajabanqk

What kind of solution does the equation have? - 13 = 5(1 + 4m) - 2m

Answers

-13= 5+20M-2
-5

-18= 18M
-18/18

M=1

Answer: = − 1

Step-by-step explanation:

46 e 64 sao cemtena e unidade ​

Answers

Answer:

nn

Step-by-step explanation:

pq centena são de 100 dezena são de 10

Ex: 46 (dezena e unidade)

146 (centena, dezena e unidade)

Which of the following descriptions is TRUE regarding linear and exponential functions?

There is no difference between a linear function and an exponential function.
Linear functions cross the y-axis above exponential functions.
Linear functions slope down, while exponential functions slope up.
Linear functions have a constant slope, while exponential functions start flat and get steeper.

Answers

Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper

Step-by-step explanation: I just took the quiz so I know it’s right. I hope this helps :)

Answer:

Answer: Linear functions have a constant slope, while exponential functions start flat and get steeper

Step-by-step explanation:

I took the test

I need to write a word problem for this equation and I don't know how to get started. Help!!!! N + (n + 8) + 2n = 364

Answers

Answer:

n = 89

Step-by-step explanation:

Ok so,

n + (n+8) + 2n =364

n+n+8+2n = 364

4n + 8 = 364

4n = 356

n = 89

I checked it...its right

if you have any questions please ask me

hope this helps. have a good day :)!!

Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?

Answers

Answer: I cannot answer it because it needs more details. For ex say how much day he/she needs and how much pages he/she will read.

Step-by-step explanation: Unknown

Solve the system of linear equations by elimination. Check your solution. 3x + 2y = 7 -3x + 4y = 5​

Answers

Answer:

(3x+2y=7-3x+4y)=5

3x+3x+2y-4y-7=5

6x-2y-7=5

6x-2y=5+7

=12

2(3x-y)=12

3x-y=12/2

= 6

C = -y - a/b


Solve the variable a


Can you please show each step

Answers

C=-y-a/b
Multiply c and y with b
-bc=yb-a
-bc-yb=a

write an expression in simplified form to represent the area of the trapezoid ​

Answers

3xf5 = 52 is the answer to this question have a blessed day

Please help me with this

Answers

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

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