Two numbers are in the ratio 7:5 . When 10 is subtracted from each term , the ratio becomes 3:2 .Find the numbers.

Answers

Answer 1

Answer:

Denote the two numbers: a and b

Two numbers are in the ratio 7:5

=> a/b = 7/5

=> a = (7/5) x b     (1)

When 10 is subtracted from each term , the ratio becomes 3:2

=> (a - 10)/(b - 10) = 3/2

=> 2 x (a - 10) = 3 x ( b - 10)

=> 3 x b - 2 x a = 10

From (1) => 3 x b - 2 x (7/5) x b = 10

             => (1/5) x b = 10

             => b = 50

             => a = (7/5) x b = (7/5) x 50 = 70

Hope this helps!

:)


Related Questions

What is x???????????

Answers

Answer:147

180-33= 147

The inner angles are supplementary, meaning equaling 180

Step-by-step explanation:

i don’t fish osjeoener

The perimeter of a rectangular field is 342 m. If the width of the field is 76 m, what is it’s length?

Answers

Answer:

The length is 95 m

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

342 = 2(l+76)

Divide each side by 2

342/2 = 2/2(l+76)

171= l+76

Subtract 76 from each side

171- 76 = l+76-76

95 = l

If the lines of a system of equations never intersect then, then the system has no____

Answers

Answer:

solution

Step-by-step explanation:

What is 9/2 as a whole number? :) plz help quick!!
Will give brainliest!

Answers

Answer:

4.5

Step-by-step explanation:

Phil is planning a 1344-mile driving trip. His car gets an average of 23 mpg, and the cost of gas is about $2.09/gallon.

What is the approximate driving cost of the trip?

A) $120.30
B) $122.13
C) $144.90

Answers

Answer:

B)

Step-by-step explanation:

1334÷ 23

= 58.4348

= 58.4348× 2.09

= 122.1287

= $122.13

Answer:

Step-by-step explanation:

I took the test :)

how would you solve 3x + y = -14
-2x + y = 9
while showing all of the work

Answers

Answer:

X=

[tex] \frac{ - 23}{5} [/tex]

Y=

[tex] \frac{ - 1}{5} [/tex]

Step-by-step explanation:

3x+y=-14

2x-y=-9

5x=-23

y=

Answer:

[tex]x= \frac{-23}{5}, y=\frac{-1}{5}[/tex]

Step-by-step explanation:

3x + y = -14

-2x + y = 9

We'll try to find x

(-2x + y = 9) multiplied by -1 => -1(-2x+y=9) = 2x-y = -9

3x + y = -14

+2x -y = -9

+__________

3x + 2x +y -y = -14 - 9

5x = -23

x = -23/5

3x + y = -14  =>And now we can find y. Just plug in -23/5 for x

[tex]3\frac{-23}{5} + y = -14[/tex]

[tex]\frac{-69}{5} + \frac{5y}{5} = \frac{-70}{5}[/tex]

[tex]\frac{5y}{5} =\frac{-1}{5}[/tex]

5y = -1

y = -1/5

Hope this helps ^-^

what is the coefficient in -x+3?

Answers

Answer: The coefficient is -1

Step-by-step explanation: this is because -1 is in front of the x

Therefore,

-1 is the coefficient

Answer:

Step-by-step explanation:

coefficient of x is -1

Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?

Answers

Answer:

D.Place the compass on a point on the original line.

Complete Question:

A.Create only one arc that intersects the original line.

B.Create two arcs that intersect the original line.

C.Place the compass on a point off the original line.

D.Place the compass on a point on the original line.

Step-by-step explanation:

* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line

# Contracting parallel lines

- Given: Line AB and point P not on AB

1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines

2. Place the pin of the compass at point C and draw an arc intersects AB at D and CP at E

3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q

4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U

5. Join P and U by a line this line is parallel to AB

# Constructing a perpendicular line through a point on the line

- Given line AB and point P lies on it

1. Place your compass pin at P and draw an arc of any size below AB that crosses the line twice at points C and D

2. Stretch the compass to a larger distance

3. Place the compass pin on point C and draw a small arc above the line

4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E

5. Using a straightedge, join P and E where PE is perpendicular to AB

* Lets find the same steps in the constructions

∵ In first construction we put the pin of the compass at point C which  lies in the original line AB

∵ In second construction we put the pin of the compass at point P which lies in the original line AB

∴ The common step is:  "Place the compass on a point on the original line"

Answer:

just know the answer is not  Create only one arc that intersects the original line.

Step-by-step explanation:

took test

Anastasia makes a good salary but wants to be sure she has good credit so she can buy a condominium when she has saved
enough money for a down payment on a mortgage. What is the best thing she can do to improve her creditworthiness?
She should take out more debt to improve her credit score.
She should pay down her student loan and credit card debt.
She should apply for more credit cards to improve her credit history.
She should get a second job to make more money.

Answers

Answer:

She should pay down her student loan and credit card debt.

Step-by-step explanation:

Because the others would result in more debt or overwork and she has a good salary already

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

Option B is the correct answer.

We have,

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

This will lower her credit utilization ratio, which is a significant factor in determining her credit score.

Having a high credit utilization ratio can indicate to lenders that she may be at risk of defaulting on her debts, which could make it more difficult for her to obtain a mortgage or other loans in the future.

Paying down her debts can help improve her credit score and make her a more attractive borrower to potential lenders.

Thus,

The best thing Anastasia can do to improve her creditworthiness is to pay down her student loan and credit card debt.

Learn more about creditworthiness here:

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I’m testing out of geometry anyone know good websites/ channels to use?

Answers

Answer:

IXL or Khan Acadamey are really good websites that teach you a lot.  IXL has a thing with thousands of lessons on geometry.

Step-by-step explanation:

0.53 x 0.19 what is the answer that question​

Answers

Answer:

PLEASE MARK AS BRAINLIEST AND GIVE THANKS

0.1007

Step-by-step explanation:

0.53 x 0.19 = 0.1007

Here is a pattern made from sticks:
//////
//////////
////////////// How many sticks would be in pattern number 6?

b)
How many sticks would be in pattern number n?

Answers

Answer:

  a) 26 sticks

  b) an = 6 +4(n -1)

Step-by-step explanation:

You have patterns of sticks that have 6 sticks in the first pattern, 10 sticks in the second pattern, 14 sticks in the third pattern, and you want to know the number of sticks in the 6th pattern and in pattern number n.

b) Arithmetic sequence

You have a sequence of patterns with 6, 10, and 14 sticks. The first pattern has 6, and the following patterns each have 4 more than the one previous. The sequence of numbers is an arithmetic sequence with a first term a1=6, and a common difference d=4.

The n-th term of such a sequence is given by the formula ...

  an = a1 +d(n -1)

For the first term and common difference in this sequence, the number of sticks in pattern n is ...

  an = 6 +4(n -1)

a) Sixth pattern

When n=6, the number of sticks is ...

  a6 = 6 +4(6 -1) = 26

There would be 26 sticks in pattern 6.

Which is a quadratic function?

Answers

Answer:

C

Step-by-step explanation:

A quadratic function has an x².

A and D are not the answers because there is no x².

B is not the answer because 0x² is equal to 0, meaning that there is no x².

C is the answer.

¿Cuántos litros de agua se precisa para llenar una piscina inflable de 1/4 de metro cúbico?

Answers

Answer:

250 litters

Step-by-step explanation:

To solve this question, we first need to know the conversion from cubic meter to liter.

1 cubic meter is equal to 1000 liters.

So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:

1 m3 -> 1000 L

1/4 m3 -> x L

x * 1 = (1/4) * 1000

x = 1000 / 4 = 250 L

So we need 250 liters of water.

Find the ratio a:b, if it is given that a/2 = b/5

Answers

Answer:

2:5

Step-by-step explanation:

a/2=b/5

a=b/5 × 2

a/b=2/5

a:b=2:5

Find the measure of angle D.

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Calculate the area of the polygons in the picture. All measurements are in cm.​

Answers

Why is there a b) in the middle of the polygon?  Question creators, proofread your figures.

a) Two triangles and a kite

Top triangle (1/2)(5.53)(1.5)

Bottom triangle (1/2)(6)(2)

The kite is like two triangles with shared base 2+3=5 and combined height 7,

(1/2)(5)(7)

Adding it up,

area = (1/2)(5.53)(1.5) +  (1/2)(6)(2) + (1/2)(5)(7) = 27.6475

Answer: 27.6475  sq cm

b) Three triangles, including one right triangle

Area = (1/2) (6.7)(3) + (1/2)(6.2)(2.5) + 1/2(6.2)(2) = 24.

Answer: 24 sq cm

Question 1 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?

Answers

Answer:

The mean  absolute deviation is 2

Answer:

M A D is 2

Step-by-step explanation:

around a square with diagonal d = 4.6 cm a circle is described. Calculate the perimeter of the circle​

Answers

Answer:

14.45cm2

Step-by-step explanation:

The diagonal is the diameter of the circle.

4.6cm

The perimeter of the circle is

Pi x4.6= 3.142 * 4.6= 14.45cm2

The weight of large pavement stones in pounds are listed: 22, 26, 29, 23, 26, 21, 28, 24, 25, 26. What is the mean absolute deviation?

Answers

step 1: add all of the numbers which= 250
step 2: divide by how many numbers there are= 250 divided by 10
step 3: answer=25

Whats the product of (-3x+2y)(4x-y)

Answers

Answer:

-12x^2 + 11xy - 2y^2

Step-by-step explanation:

Answer:

-12x² + 11xy - 2y²

Step-by-step explanation:

To solve this:

You can distribute -3x to 4x

-3x*4x = -12x²

Then distribute the -3x to -y

-3x*-y = 3xy

Distribute the 2y to 4x

2y*4x = 8xy

Distribute the 2y to -y

2y*-y = -2y²

-12x² + 3xy + 8xy - 2y²

Combine like terms and add 3xy to 8xy

Final Answer: -12x² + 3xy + 11xy - 2y²

Please find attached

Answers

Answer:

AE Measure: 23.36 units

Step-by-step explanation:

BA: 20cm

BC:20cm

BE:10cm  CE: 10cm

a^2 +b^2=c^2

BE^2 +BA^2 = AE^2

√100 + √400 = √500

AE^2 = √500 = 23.36

AE = 23.36 unit

Repeat effort :-)

Step-by-step explanation:

As ABCD is a square , BC = 20 cm

BE = 20/2 = 10 cm

Also , angle B = 90⁰

By pythagoras theorem :

AE² = 20² + 10²

AE² = 400 + 100

AE² = 500

AE = 10√5 cm

rewrite 4/6 1/3 as a unit rate

Answers

Answer:

Step-by-step explanation:

Is this 4/6* 1/3 or are they seperate?

If its 4/6*1/3 you could say its 12/19 or 63.16%

Unit rate of the given quantity is equals to [tex]2:1[/tex].

What is unit rate ?

" Unit rate is defined as relation which is represented as the ratio of two different quantity in which value denominator is always one."

According to the question,

Given ratio of different quantity,

[tex]\frac{4}{6}:\frac{1}{3}[/tex]

Convert it into unit rate we get,

[tex]= \frac{4}{6}\times \frac{3}{1} \\\\= \frac{4\times 3}{6\times 1}\\ \\= \frac{12}{6} \\\\= 2 : 1[/tex]

Hence, unit rate of the given quantity is equals to [tex]2:1[/tex].

Learn more about unit rate here

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-5x^2+51=6 or -5x^2+51=6. SOLVE ASAP

Answers

Im not sure but
The answer may be x=3,-3

Answer:

it's 9

Step-by-step explanation:

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer:

x = 12.81

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean Theorem to solve for x. We have 10² + 8² = x² → 100 + 64 → x² = 164 → x = 12.81. Hope this helps!

Step-by-step explanation:

using Pythagoras relationship

[tex] {x}^{2} = {10}^{2} + {8}^{2} \\ {x}^{2} = 100 + 64 \\ {x}^{2} = 164 \\ x = \sqrt{164} \\ x = 12.806 \\ x = 12.8[/tex]

Is -3.5 greater than or less than -1 2/3

Answers

Answer:

less than

Step-by-step explanation:

first you make the mixed number into a decimal which ever number has the lowest absolute value is the bigger number

Answer:

less than

Step-by-step explanation:

-1 2/3 = -1.6666666666

remember the smaller negative number is greater

I want to know how to divide fractions can any one help P.S this is my first time on brainly

Answers

Answer:

Simple rules

KCF

keep your denominator

change your numerator

flip one of your fractions

Step-by-step explanation:

:)

Answer:

Problem: 1/4 divided by 1/2

Step 1 : Put it in multiplication format

1/4 * 1/2

Step 2 : Flip the denominator with the numerator of only the second fraction

1/4 * 2/1

Step 3 : Answer

2/4 or 1/2

Step-by-step explanation:

I know

*PLEASE HELP ASAP*
Vicente has a prism-like water tank whose base area is 1.21.21, point, 2 square meters. He bought 666 goldfish at the store, and the store owner told him to make sure their density in the tank isn't more than 444 fish per cubic meter. Vicente needs to figure out how high to fill the water in the tank.
What is the lowest possible height so the fish aren't too crowded?

Answers

Answer:

VGEV

Step-by-step explanation:

question is below....

Answers

Answer:

Step-by-step explanation:

For window, area 3×2

=6

For wall, area=20×16

=320

Area of wall withot window=320-6

=316

in the NBA, any shot made from 22 feet or more from the basket is worth 3 points. how many yards from the basket is that? plz help​

Answers

Answer:

7.333333

Step-by-step explanation:

There are three feet in a yard, therefore 22/3

Brainliest would be super appreciated!

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