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

can somebody help me on this​

Answers

Answer:

Step-by-step explanation:

We have a triangle and this triangle has got 3 edge a,b,c

a+b>c>|a-b|

18>x>2

Answer:

the answer is [tex]18>x>2[/tex]

Step-by-step explanation:

hope this helps :)

please help me with question ​

Answers

Answer:

The one that looks like a boot is Italy, the island is the United Kingdom, the one the farthest bottom left is Spain, France is directly above Spain, Germany is to the right of France, and Russia is the one all the way on the right.

How did you get -16 from -9-5-20?

Answers

Answer:

it would be -34

Step-by-step explanation:

The answer is -34 hope this helps

What is the decimal equivalent of 7/10?

Answers

Answer:

0.7

Step-by-step explanation:

zero and seven TENths. the place value of the 7 is tenths so on the bottom of the fraction will be 10. i'm bad at explaining so sorry.

the decimal equivalent of 7 / 10 is 0.7.

To find the decimal equivalent of 7 / 10, we divide the numerator ( 7) by the denominator ( 10).

When we perform the division, 7 ÷ 10, we get 0.7.

Therefore, the decimal equivalent of 7 / 10 is 0.7.

In decimal form, the number 0.7 represents 7 tenths or 7 parts out of 10. It indicates that the numerator ( 7) is 7 / 10th of the denominator ( 10). This decimal representation makes it easier to compare the fraction with other decimal numbers and perform arithmetic operations using decimals.

Learn more about decimal here

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Find the area of this parallelogram.
5.2 cm =height
8.4 cm =width​

Answers

Answer:

The answer is 43.68.

Step-by-step explanation:

Answer:

43.68

You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4


Help for brainliest!!

Answers

Answer:

Step-by-step explanation:

so just go look it up in google or sum

hope it helps

You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?

Answers

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

What is the equation of the line that has a y intercept of 0,3 and passes through the point -9,-9

Answers

Answer:

-5.4

Step-by-step explanation:

Are the two polygons similar figures? Explain why or why not

Answers

Answer:

Both polygons are similar figures.

Step-by-step explanation:

Both polygons are similar figures because both of them are the same figures just that they are scaled copies of each other.

Hope this helps!!

I NEED HELP PLEASE ANSWER
Multiple Choice:
- Rationalize the denominator
- Convert the bottom of the LHS using an identity
- Factor the RHS
- Convert tan^2(theta) + 1 of the RHS using an identity
- Find common denominators for RHS
- Cancel the 1s on LHS

Answers

Answer:

(1+cos(theta))/(1-sin^2(theta))=sec(theta)+tan^2(theta)+1

(1+cos(theta))/cos^2(theta)=sec(theta)+sec^2(theta)-1+1

(1-cos(theta))/cos^2(theta)=1/cos(theta)+1/cos^2(theta)

1-cos(theta)=cos(theta)+1

2cos(theta)=0

cos(theta)=0

theta=pi/2 and 3pi/2

I don't fully understand your question but it's quite easy to solve. As shown above, option (2) is good and you can factor the RHS but I would find it rather trivial when you can multiply both sides by cos^2(theta) just as easily. I hope this helps you.

PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT

Answers

Answer:

a

Step-by-step explanation:

If 8 people share 44 crackers equally, how many crackers does each person get?

Answers

Answer:

5 and a half

Step-by-step explanation:

plz give brainliest

you should join remind class code is: d394k3

find an equation for the line below​

Answers

Answer:

[tex]y+1=\frac{-2}{3} (x+4)[/tex]

Step-by-step explanation:

you can use the equation point-slope of a line

(y-y1)= m(x-x1)

m is the slope =rise /run

to get from the lower point  on the line to the other you rise 4 units and run -6 units so m= -4/6= -2/3

now that you have the slope pick you need one point

pick any poin on the line for example (-4, -1)

now you substitute into the point-slope equation point (-4,-1) and slope -2/3

(y+1)= -2/3(x+4)

in standard form will be

y=[tex]\frac{-2x}{3} -\frac{2*4}{3} -1[/tex]

y=[tex]\frac{-2x}{3}- \frac{5}{3}[/tex]

A line with a slope of 3 passes through the points (-8,f) and (-9,7). What is the value of f

Answers

Answer:

Step-by-step explanation:

Slope can be calculated by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We know M, y1, x2, and x1. We want to calculate for y2

[tex]\frac{f-7}{-8-(-9)} = 3\\\frac{f-7}{1} = 3\\f-7 = 3\\f = 10\\[/tex]

Answer: f = 10

Step-by-step explanation: Start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

Plugging the given information into the

slope formula, we get 3 = 7 - f / -9 - (-8).

This simplifies to 3 = 7 - f / -1.

Multiply both sides of the equation by -1 to get -3 = 7 - f.

Solving from here, you be should be able to easily find that 10 = f.

Remember, it's very easy to check your

answer to these kinds of problems.

Since 10 = f, you can plug a 10 back in for f in the original problem.

Then check to see if the line that passes through the points

(-8, 10) and (-9, 7) really does have a slope of 3.

Lorenzo saves money for a motorbike. The marked price of the motorbike is $900. He pays a deposit of 35% of the marked price. a) Calculate his deposit. b) He then makes 12 monthly payments of $60 each. How much more than the $900 marked price does he pay altogether?Required to answer. Multi Line Text.



Answers

Answer:

Step-by-step explanation:

let marked price 100%

100%=$900

1%=9

so,35%=$315

1 month pays $60

so 12 month pays 12*60=720

total pays 720+315=$1035

more pays =$1030-900=$130

please number the answers

i will report answers that are not real answers ​

Answers

Answer:

7. x^2 + 5x + 6

8. x^2 + 18x + 77

9. x^2 + 8x + 16

10. x^2 - 1

11. 2x^2 + x - 78

12. 6x^2 - 13x - 5

13. 9x^2 - 48x + 64

14. 81x^2 - 49

BRAINLIEST PLEASE!!!! I ACTUALLY DID THE WORK FOR YOU!!

Answer:

7:(x+2)(x+3)

x²+3x+2x+6

x²+5x+6

8:(x+7)(x+11)

x²+11x+7x+77

x²+18x+77

9:(x+7)²

(x+7)(x+7)

x²+7x+7x+49

x²+14x+49

10:(x+1)(x+1)

x²+x-x+1

x²+1

11:(2x+13)(x-6)

2x²+6x+13x-78

2x²+19x-78

12:(2x-5)(3x+1)

2x(3x+1)-5(3x+1)

6x²+2x-15x+5

6x²-13x+5

13:(3x-8)²

(3x-8)(3x-8)

9x²-24x-24x+64

9x²+48x+64

14:(9x-7)(9x+7)

81x²+63x+63x+49

81x²+126x+49

Find 0.038 as a fraction in its lowest terms

Answers

Answer:

19 / 500

Pls mark as brainliest!!!

Answer:

19/5

Step-by-step explanation:

If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1

In 2017, which of these represents a competitive but realistic interest rate
on a savings account?
1%
2%
3%
7%

Answers

Answer: 1%

Step-by-step explanation:

Savings accounts offer interest payments on them however they are quite easy to access which means that banks are limited in being able to use funds in savings accounts for long term loans which bring in revenue.

This therefore translates to lower interest rates being paid on the accounts and in 2017 up until now, a competitive and realistic interest rate often found in savings accounts is approximately 1%.

situation 2:  Andy has 5 discus fish.He purchases 3 more each week for $8 each

for situation 2, which rule models the total number of fish (y) as a function of the number of weeks (x)?
A) y=3x+5
B) y=4x+5
C) y=10x
D)Y=3x-5

Answers

Answer:

A

Step-by-step explanation: Because its 3 more a week and week is x and plus the 5 you already have

The rule mode for the total number of fish as the function of the number of weeks will be equal to y = 3x + 5. Hence, option A is correct.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Number of Discus fish Andy have = 5

Each week Purchase = 3

Then, the equation will be,

y = 3x + 5

Here, y is the total number of discus fish and x is the number of weeks.

To know more about Equation:

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last month you spent $325 on food your monthly income is $2600 what percent did you spend on food?

Answers

Answer:

8% it think

Step-by-step explanation:

PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON

Answers

Answer:

1.C 2.A

Step-by-step explanation:

FIRST

Answer:

1= C

5= A

Step-by-step explanation:

A car has an initial value of 20,000 the value then depreciates or decreases by 10% of in initial value each year which equation below gives the value of the car

Answers

Given:

Initial value of car = 20,000

Depreciation or decreasing rate = 10% = 0.10

To find:

The equation that gives the value of the car.

Solution:

It is given that the value then depreciates or decreases by 10% of in initial value each year. It means the depreciation value is same for each year, i.e., 10% of initial value.

[tex]10%\text{ of }20000=\dfrac{10}{100}\times 20000[/tex]

[tex]10%\text{ of }20000=2000[/tex]

So, the value of car decreased by 2000 per year.

Let y be the value of can after x years.

Then, the value decreased in x years is 2000x.

So, the values of the car is

[tex]y=20000-2000x[/tex]

Therefore, the required equation is [tex]y=20000-2000x[/tex].

helppp pleaseeee ill do anything ​

Answers

good luck! i hope this helped you :)

first to answer correctly gets brainleist! (bringing out a lot of questions lol!)

Answers

The answer is C. Good luck!


PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!

DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.

Answers

Answer:

2/3

Step-by-step explanation:

DEFG ~ D'E'F'G'

[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]

A cyclist travels 17 km from home to the park.
She leaves home at 17:15 and arrives at the park at 17:45.
What is her average speed in km/h?

Answers

Answer:

34 km/h

Step-by-step explanation:

speed = distance/time

Distance = 17km

Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours

So

speed = 17/0.5

speed = 34 km/h

Wich of the following lines is parellel to x=8

Answers

Answer: X=0
I’m not sure

estimate 17320 nearest 10000​

Answers

20000 because of the 7 is higher than 4 higher than 5

Use the zero product property to find the solution to the equation 6x^2-5x=56

Answers

Answer:

x = -8/3 or 7/2

Solution:

6x^2 - 5x = 56

6x^2 - 5x - 56 = 0

6x^2 -21x +16x - 56 = 0

3x(2x-7) + 8(2x-7) = 0

(3x + 8)(2x-7) =

3x + 8 = 0  or 2x - 7 = 0

x = -8/3 or 7/2

Kris and Micky are running laps around the same track. Kris can run one lap in 8 minutes but Micky takes 12 minutes. If they both start at the same place, the same time, and run in the same direction, at what time will they first pass each other?

Answers

Answer:

4minutes,I think. that is the answer

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