Find two numbers such that five times the larger plus three times the smaller is 47, and four times the larger minus twice the smaller is 20.​

Answers

Answer 1
Let x and y be the larger and smaller numbers respectively.
Use the given fact "five times the larger plus three times the smaller is 47" to set up an equation:
5x + 3y = 47 ...................(1)
Use the given fact "four times the larger minus twice the smaller is 20" to set up another equation:
4x - 2y = 20 ...................(2)
Multiply both sides of (1) by 2, we have:
10x + 6y = 94 ............................(3)
Multiply both sides of (2) by 3, we have:
12x - 6y = 60 ............................(4)
Add (3) and (4), we have
22x = 154
x = 7
Substituting x = 7 into (1), we have
5*7 + 3y = 47
Solving for y, we have:
35 + 3y = 47
3y = 12
y = 4

Related Questions

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

https://brainly.com/question/10873737

What is the answer to this pre-algebra equation 7x+10=3x+120

Answers

Answer:

 =[tex]\frac{55}{2}[/tex]

is 1/5 a integer rational irrational or real. (there can be more than one answer)

Answers

Answer:

rational

Step-by-step explanation:

A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!

what is 12 to the power of 0 simplified?

Answers

Step-by-step explanation:

the answer is 1

x^0 = 1

12^0 = 1

im not that sure

transformation:rotation,reflection or translation?

90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?

followed by a reflection, rotation or translation?

Answers

Answer:

Step-by-step explanation:

Counter clockwise 180 degree rotation

price of 1 kg sugar is rupees 104.25 find the price of 50 kg​

Answers

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6

Answers

Answer:

3.36

Step-by-step explanation:

4.1 +6 +1.3+6.5 +1.6=16.8

16.8/5=3.36

In order to  get the answer you add everything up and then divide from the amount of numbers there are.

what is f(x)=5x-12 what is f(2)?

Answers

Answer:

f(2) = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Substitute:                         f(2) = 5(2) - 12Multiply:                             f(2) = 10 - 12Subtract:                            f(2) = -2

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

Anyone know this pls help ill give brainliest :)

Answers

Answer:

30, 40, 60, 70,

Step-by-step explanation:

pattern by 10

For 3=30

      4=40

       6=60

        7=10

  Calculate the slope

           50-20/5-2

             10

It costs $4.25 per game at the bowling alley.
plus $1.90 to rent shoes. If Wayne has $20.
how many games can he bowl?

Answers

Answer:

Wanye can only bowl 4 times.

Step-by-step explanation:

the expression for this equation is

20 = 4.25x + 1.90

subtract  1.90 from both sides

18.10 = 4.25x

See how many times 4.25 can go into 18.10

1.) 18.10 - 4.25 = 13.85

2.) 13.85 - 4.25 = 9.60

3.) 9.60 - 4.25 = 5.35

4.) 5.35 - 4.25 = 1.1

1.1 < 4.25 so you can't subtract it

the answer is 4 times

Simplify 56yz^2/48y^5z^2

Answers

Step-by-step explanation:

10

patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 the companies are each offering discounts on their carpet cleaning services

Answers

Answer:

company 1 final price: $148.5

company 2 final price: $168

company 3 final price: $132

thus, the best choice is company 3 because it costs the least and all services are the same

Step-by-step explanation:

company 1 is offering 25% off the price of their service

company 2 is offering $30 off the price of their service

company 3 is offering a 1/3 discount off the price of their service

the price of the cleaning is $198

company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5

company 2: $30 dollars off, which means $198 - $30 or $168

company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132

Given the equation x^2=16, which statement below describes the solution(s)?

Answers

Answer:

4

Step-by-step explanation:

x²=16

x=√16

x=4

Answer:

x^2=16

^ stands for power or exponent

so, the equation is: x square= 16

for this x should be equal to 4

now,

4^2=16

Step-by-step explanation:

Answer the question in the photo

Answers

Everything but C or all of the above because they can all be decimals technically

Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

Find the value for x
Can somebody help me?
Please

Answers

Answer:

1-7 2-6 3-6 4-4

Step-by-step explanation:

To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 - 5 = 12. Complete the
statement about whether Noah's method always works.
His method never
works because multiplying by does not give the same result as dividing by 5.

Answers

Answer:

he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5

Step-by-step explanation:

Task 2.43 - HELP FAST
Show me a simple and easy solutions to these types of tasks (brainliest is achieveable)

Answers

Answer:

I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b

sorry

2 (x - 2/3) = 0

solve for x​

Answers

x would equal 2/3 or in decimal form, 0.6 repeated

Answer:

x = 2/3

Step-by-step explanation:

2(x-2/3)=0

2x-1 1/3=0

2x=1 1/3

Devide both sides by 2

x=2/3

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

Select all ratios equivalent to 7:2 ?

Answers

Answer: 14:4 , 21:6 , 28:8 , 35:10

Step-by-step explanation:

A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide.

_______________________________________________________

Which inequality can be used to determine the squirrel’s speed?

_____

What is the solution to the inequality? Round to the nearest tenth, if necessary.

_____


How can you interpret the solution?

_____

_______________________________________________________

A) 3r > 34,

3r 34

r/3 11.3

r 10.2


C) the squirrel ran at least 11.3 feet per second

the squirrel ran faster than 11.3 feet per second

the squirrel ran no faster than 102 feet per second

the squirrel ran slower than 102 feet per second

_______________________________________________________

Answers

Answer:

✔ 3r > 34

✔ r > 11.3

✔ The squirrel ran faster than 11.3 feet per second.

Step-by-step explanation:

1. The Squirrel's speed is 3r > 34

2. The solution of the inequality is r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

A squirrel runs across a road in 3 seconds.

The road was more than 34 feet wide.

1. The Squirrel's speed is

3r > 34

2. The solution of the inequality is

r > 34/3

r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ7

1) Which is the best estimate for the amount of grass in the lawn

A.125ft
B.125sq ft
C.1,250ft
D.1,250sq ft

2) Which is the best estimate for the total length of the bricks?

A.125ft
B.125sq ft
C.1,250ft
D. 1,250sq ft

Answers

Answer:

for number one the answer is D). 1,250 sq ft. for number 2 it is A.) 125 ft

Thats all you really need to answer, it doesnt ask for you to explain it or anything.

E (0,3), F (1,-1), G (4, 2), H (-1,3) what's EF? And What's GH?

Answers

Answer:

I'm assuming you want the distance between the two point

EF = [tex]\sqrt{17\\}[/tex]

GH = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?

Answers

the answer is 50:::::::_::::::::

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, - 2), (-1,5)
Line 2: (-12, 2), (2,14)

Answers

(5,-2),(-1,5)
X1 y1 x2 y2

5-(-2)/-1-5 = 7/-6

(-12,2), (2,14)
X1 y1 X2 y2

14-2/2-(-12)= 12/14 dived by 2= 6/7

They are perpendicular
Line 1: -7/6
Line 2: 6/7

The populations of Cities A and B are 1.6 x 10^5 and 1,070,000​, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City​ A?

Answers

Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a

What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18

Answers

Answer:

I think the answer is B.23

Find the value of x.
(5x + 5)

Answers

5( x + 1)

I hope this helps:)

PLEASE HELP QUICKLY
What is the value of y

Answers

Answer:

y= 8

Step-by-step explanation:

In a Triangle we know,

W+Y+X=180 degree

then,

(180-52)+(4y-4)+3y=180

or, 128+4y-4+3y= 180

or, 7y= 180- 124

or, y= 56/7

or, y= 8

hope you got it.

please help im stuck and i dont have time

Answers

Answer:

a.  [tex]3x^{2} \\\\[/tex]

b. [tex]5x+1[/tex]

Step-by-step explanation:

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