Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50

Answers

Answer 1

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20


Related Questions

V70





Estimate the square root of the number below to the nearest tenth

Answers

8.4 hope that helps
It’s 777777777777777222222222.000002020202020202202020202020

A teacher polled her students and determined 37 liked math and 44 liked history.
She has a total of 180 students. If there are 3000 students in the whole school. How
many students could you infer like something other than math and history.

Answers

Answer:

I’m pretty sure it’s 2919 students

Step-by-step explanation:

Ok 37-math

44-history

180 total students

99 students in the total didnt like them

3000 students in school.

-180

2919 students

HELP!!!!! Algebra II Help needed
Find a formula for the nth term of the arithmetic sequence.
First Term -2
Common Difference 8

Gotten this far:
an=8n+?

Thank you!!!

Answers

Answer:

[tex]a_{n} = 8n - 10[/tex]

Step-by-step explanation:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]  is the formula you want to use

[tex]a_{n} = -2 + (n - 1)8[/tex]

    = -2 + 8n - 8

   = 8n - 10

NEED HELP PLSSSSSS HELP MEEE

Answers

Answer:

Step-by-step explanation:

0 quarter = 20 dimes

dime to quarter = divide by 20

quarter to dime= multiply by 20

4 quarters = ? dimes

4 x 20 = 80 dimes

0 dimes = ? quarters

0/20 = 0 quarters

5 dimes = ? quarters

5/20 = 0.25 quarters

Answer: SORRY I WISH I CAN HELP YOU BUT PLZ DON´T GET MAD PLZ

Step-by-step explanation:

BUT I DID FIGURE THE FIRST ANSWER IS 13

Pls help
My teacher rlly tried to make it fun like girl nah it’s still hella boring

Answers

Your saying you want all 5 of these questions answered?

(3/4) to the power of 2

Answers

Answer: 3/16

Step-by-step explanation: hope this helps :)

Answer:

0.5625

Step-by-step explanation:

Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
6 5/9 feet. How much of the board was left?

Answers

B. is the answer i did the test and it was right

pls help with number 3

Answers

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?

Answers

Answer: 9 feet below the surface.

Step-by-step explanation:

The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:

Position = -40ft

Where the negative sign is because it is below the surface of the water, so

"He swam up 12 feet to see a unique fish."

Now we need to add 12ft

Then his new position is:

Position = -40ft + 12 ft = -28ft

"He followed the fish down 8 feet.

Now we need to subtract 8ft

His new position is:

Position = -28ft - 8 ft = -36 ft

"Then he followed the fish up 27 feet."

Now we add another 27 ft.

The final position will be:

Position = -36ft + 27ft = -9ft

Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.

Points A, S, and R are ___.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure it's B, (please let me know if I'm wrong.)  

Colinear means to be on the same straight line, which they are.  

Coplanar means to be in the same plane, which they appear to be as well.

So yeah I'm pretty sure it's B.  

Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?

Answers

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

can you help me please ​

Answers

Answer:

GFKSKKGKKSFG

Step-by-step explanation:

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

yes, because a random sample is taken from all of the student body

yes, because the survey will include all of the seniors

no, because the survey will include freshman

no, because the survey will not include members of the faculty

Answers

No because the survey will not include Keebler’s of faculty

Answer:

no, because the survey will not include members of the faculty

A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft​

Answers

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

The horizontal distance that the ramp will take up is a) 22.9 ft.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.

∴ The horizontal or adjacent distance can be obtained by tan(theta).

Assuming horizontal distance to be x feet.

∴ tan(5°) = 2/x feet.

x = 2/tan(5°).

x = 22.9 feet.

learn more about trig ratios here :

https://brainly.com/question/14977354

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If 9x + 10=y what is y??

Answers

Answer:

above beat me to it he is right

Will give random brainliest if 10 users comment or answer and put #brainliest

Answers

Answer:

#brainliest

Step-by-step explanation:

tghfue7hbjdj I o

Answer:

HEY

#brainliest

Step-by-step explanation:

Solve the inequalities by graphing. Select the correct graph. y> X y<-X​

Answers

Answer:

i think is y>X

Step-by-step explanation:

help will make brainliest ​

Answers

Answer: The answer is B

What is 15/20 closest to 0,1/2 or 1

Answers

Answer:

0.07 (7/100) is closer to 0.

1.150 (1150/1000) is closer to 1.

0.391 (391/1000) is closer to 1/2.

0.0999 (999/10,000) is closer to 0.

0.99 (99/100) is closer to 1.

0.599 (599/1000) is closer to 1/2.

Put everything as a fraction. The first spot after the decimal means you put the number over 10, the second place means you put it over 100, the third 1,000, fourth 10,000 and so on. Hope I helped! ^^Step-by-step explanation:

The closeness of the given function is found to be by writing it in the simplest form as 1.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given fraction is 15/20.

It can be simplified as below,

Divide numerator and denominator by the common factor 5 as,

(15 ÷ 5)/(20 ÷ 5)

⇒ 3/4

The given fraction 3/4 is greater than zero and closest to 1.

Hence, the given fraction is closest to integer 1.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

Work out the area of a square with base = 1cm

Answers

Answer:

the area of the square is 1cm^2

Step-by-step explanation:

The computation of the area of the square is given below:

As we know that

Area of the square = side^2

Also in the square four sides are equal

So

= 1cm^2

= 1cm^2

hence, the area of the square is 1cm^2

Help please and show work

Answers

So the radius is 7 inch which is given
Use the formula for the circumference which is 2xpiXradius
2x3.1415x7=44 to nearest integer

53.53x 10 power of 2

Answers

The answer to your question is 5,353
it is 5353x hopefully this helped

please answer both of these and show or tell me all your work

Answers

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

Elliot is riding in a 100-mile bike race to raise money for a charity. So far he has completed 7_10of the race. How far has Elliot biked?

Answers

Answer: He rode 70 miles!!!

Answer:

70 miles

Step-by-step explanation:

Mark me as brainliest

Consider the function below.
5y=18^x+9
Complete the statement below to describe the given function. They y-intercept of the function is (___). The graph of the function initially (___) and then (___).

First blank answers:
(2,0)
(0,2)
(-2,0)
(0,-2)

Second blank answers:
Increases rapidly
Increases slowly
Decreases rapidly
Decreases slowly

Third blank answers:
Increases slowly
Decreases rapidly
Decreases slowly
Increases rapidly

Answers

Answer:

(0,2), increases slowly, increases rapidly

Step-by-step explanation:

I just took the test

Multiply (3x + 2) (4x-5)

Answers

Answer:

12x^2-7x-10

Step-by-step explanation:

I did binomial into binomial method

3x(4x-5)+2(4x-5)

12x^2-15x+8x-10

12x^2+(-15+8)x-10

12x^2-7x-10

The answer is 12x^2-7x-10

Evaluate -20a - 65 for a = 2.7

Answers

Answer:

-119

Step-by-step explanation:

Substitute a for 2.7 since a = 2.7

Then multiply -20 by 2.7 = -54

Next subtract -54 by 65

Finally, you have your answer!

How do you find the x intercept and y intercept on a graph and when given an equation?

Answers

Answer:

In a graph, the x-intercept will be the point in which the line crosses the horizontal line of the plane.

The y-intercept is found when the line crosses the vertical line of the plane.

In an equation, y = mx + b, the y-intercept is the value of b, and the x-intercept is shown when y = 0. (substitute y for 0 and find the value of x)

Given the graph below, the equation in slope-intercept form is

Answers

Answer:

F(x)=-1x-5

Step-by-step explanation:

The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.

area of a isosceles triangle

i will make as brainliest whoever answers

Answers

Answer:

145cm is the area I believe.

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