If two numbers are in the ratio 6:13 and their LCM is 312, then find the numbers.​

Answers

Answer 1

Answer:

The two numbers are 12 and 26

Step-by-step explanation:

let the first number = a

let the second number = b

The ratio of the numbers is given as;

[tex]\frac{a}{b} = \frac{6}{13} \\\\a = \frac{6b}{13}[/tex] -------- (1)

The lcm of the two numbers is given as;

a x b = 312

ab = 312 --------- (2)

From equation (1), [tex]a = \frac{6b}{13}[/tex]

[tex]b(\frac{6b}{13} ) = 312\\\\\frac{6b^2}{13} = 312\\\\6b^2 = 4056\\\\b^2 = \frac{4056}{6} \\\\b^2 = 676\\\\b = \sqrt{676} \\\\b = 26\\\\From \ equation \ (1);\\\\a = \frac{6b}{13} \\\\a = \frac{6 \times 26}{13} \\\\a = 12[/tex]

Therefore, the two numbers are 12 and 26


Related Questions

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

75:45
Step-by-step explanation:
3*15=45
5*15=45

Please help........................

Answers

Answer:

I think it is 2 one

Step-by-step explanation:

I’m pretty sure that it’s C

Find the length of side x in simplest radical form with a rational denominator.

Answers

This is a 30-60-90 right triangle.

In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.

find area and perimeter. plz help very important

Answers

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Step-by-step explanation:

Alex was making pumpkin soup that called for 3 and 4/5 cups of pumpkin. If Alex makes 2 batches of soup how many cups of pumpkin will he need?

Answers

Answer:

7 and 3/5

Step-by-step explanation:

3 and 4/5 times 2 is 7 and 3/5

arrange the following whole numbers in increasing and decreasing order​

Answers

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

There are
13
students in a class of
30
who play rugby.

Write this proportion as a percentage.

Give your answer correct to 1 decimal place.

PLSSS SOMEONE HELP

Answers

Answer:

i think it might be 0.43

Step-by-step explanation:

Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!

have a nice day

Answer:

43.3% of the students play rugby.

Step-by-step explanation:

13/30 = 0.43333

0.43333*100 = 43.33%

Have a nice day!

and can I maybe have brainliest? Thanks!

Plz guys help me please

Answers

Answer:

G(-4,2), H(-3,-4), J(-1,1)

Step-by-step explanation:

The x-values would all become negative.

G(-4,2), H(-3,-4), J(-1,1)

What is the missing side?

Answers

Answer:

x=5

Step-by-step explanation:

Area of triangle=1/2 * b * h

In this case b=10, h=x, and A=25

By substituting values in we can say:

[tex]A=\frac{1}{2} * b *h\\25=\frac{1}{2} * 10 * x\\25=5x\\x=5[/tex]

what is 1/2 x 1/2 x 1/2 x 1/2

Answers

Answer:

0.0625

Step-by-step explanation:

Hope this helps :)

Have a nice day <3

Answer:

1/16

Step-by-step explanation:

Just multiply all numerators and all denominators: 1x1x1x1/2x2x2x2. That gives you your total of 1/16.

Someone Please help me

Answers

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

The answer is $104,95

Brian, Pip and Sara share some sweets in the ratio 4:5:1. Brian gets 42 more sweets than Sara.
How many sweets does Pip get?
80

Answers

Answer:

i got 70

Step-by-step explanation:

Brain   4           Brain gets 42 more sweets Sara

Pip      5           How many sweets does Pip get?

Sara    1

when   b = s + 42            find p        b = 4s    p = 5s

           4s = s + 42                           b/4 = s      p = 5b/4

           3s = 42

             s = 14           b = 56         p = 70      

     

I initially found the answer by trail and error, then I could figure out the equation.  

s     b      p

1     4      5

10   40   50

16   64   90

14   56   70

what is the equation for 14 more than 5 times more the number is 39

Answers

Answer:

14 + 5x = 39

Step-by-step explanation:

first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).

Can you guys help me with this, please?

Answers

Answer:

G) y ≥ 1

Step-by-step explanation:

Range is all the y-values seen on the graph.

Since it starts at (0, 1), the lines just keep increasing so:

y ≥ 1

Write the equation in standard form. Y=x+1

Answers

X-y=-1 is the Standard

Select all the expressions that show a way to decompose 512. A. 3 1/2+2 1/2 B. 3/6+2/6 C. 1 1/2+2 1/2+2 1/2 D. 1 1/2+1 1/2+3 1/2 E.1 1/2+1 1/2+2 1/2+2 1/2

Answers

Answer:

C,D,E

Step-by-step explanation:

C, D, E
I believe this is the correct answer

1
Find the value of x in the figure below, round answer to the nearest tenth.
38
64°
х

Answers

9514 1404 393

Answer:

  86.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(64°) = 38/x

  x = 38/cos(64°) ≈ 86.685

The value of x is about 86.7.

please help i don't get this ​

Answers

Answer:

-4

Step-by-step explanation:

anyone want to help me?
no but seriously I need to finish this right now

Answers

I need help to solve this problems can somebody help me

What is happening at A?

Answers

Answer:

the last one

Can someone please help me I will mark u brilliant

Answers

Answer:

1 cubic inch

Step-by-step explanation:

For rectangular prism:

[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]

Answer: The volume is 1 cubic inch.

Step-by-step explanation:

Volume of 1 cube

V= l*w*h

V= 1/2*1/2*1/2

V= 1/8 or 0.125

Volume of Prism

8*1/8= 1

What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units

Answers

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance²  = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61

An initial population of 535 quail increases at an annual rate of 25%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

Answers

Answer: c

Step-by-step explanation:

answer choices
A Function 1
B Function 2
C The Functions have the same Y-intercept

Answers

Answer:

I would say A

Step-by-step explanation:

Have a great day hope this helped!

A farm stand wants to sell fruit to local grocery stores in packages with
baskets of apples, worth $10 apiece, and baskets of peaches, worth $13
apiece. The owner wants each package to include 50 baskets total, and he
wants to sell each package for $566. How many baskets of apples and how
many baskets of peaches should he put in each package?
A. 10 apples, 13 peaches
B. 13 apples, 10 peaches
C. 28 apples, 22 peaches
D. 22 apples, 28 peaches

Answers

Answer:

28 apples and 22 peaches

Step-by-step explanation:

<3

Which of these situations can be modeled by an exponential function?
A) The declining population of a city if 100 people move away every year.
B) A herd of lions whose numbers triple every decade.
C) The amount of money Grant has saved up if he makes $18.50 an hour.
D) Total distance if we drive 75mph for x hours.

Answers

Answer:

B) A herd of lions whose numbers triple every decade.

Step-by-step explanation:

Situations that can be modeled by exponential functions:

A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.

In this question:

In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.

What is the measure of the missing angle

Answers

Answer:

c. 42°

Step-by-step explanation:

two interior angles= one exterior angle

let x be the other interior angle

90° + x=132°

x=132-90

x=42°

A music store conducted a survey. It showed that the number of CDs purchased by a shopper decreases with the
number of songs he downloaded. What can we likely say?

Answers

Answer: there is a correlation between a number of songs downloaded. there may or may not be causation. further studies would ave to be done to determine this.

Step-by-step explanation:

Answer:

There is a correlation between number of CDs purchased and number of songs downloaded. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

A music store conducted a survey. It showed that the number of CDs purchased by a shopper decreases with the number of songs she downloaded. What can we likely say?

What is the value of x?

Answers

Answer:

122

Step-by-step explanation:

122 + 58 = 180

Answer:

x=122°

Step-by-step explanation:

58° and x form a straight angle, which is 180°.

x+58°=180°

x=180°-58°=122°

hellp me for a brainly

Answers

Answer:

25π or 78.5mm²

Step-by-step explanation:

[tex]A=3.14*5^{2} \\ =3.14*25\\ =78.5[/tex]

Answer:

78.5 mm² or answer D.

Step-by-step explanation:

The formula for the area of a circle is

A = π*r²

Now we can rewrite with the radius. *Note* I am using 3.14 for pi to make it easier*

A = π*5²

Solve

5² = 25

25 * 3.14 = 78.5

Now since the measurements were done in millimeters, we will add mm to the end.

Also since it is area, we need to add ²

78.5 mm²

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