the ratio of 3 numbers is 2:3:4. If the sum of the numbers is 108, find the numbers. NEED ANSWERS ASAP

Answers

Answer 1

Step-by-step explanation:

x + y + z = 108

x/y = 2/3

y/z = 3/4

x = 2y/3

z = 4y/3

we use these 2 as substitute in the first equation

2y/3 + y + 4y/3 = 108

2y + 3y + 4y = 324

9y = 324

y = 36

x = 2y/3 = 2×36/3 = 2×12 = 24

z = 4y/3 = 4×36/3 = 4×12 = 48


Related Questions

Dad spends a total of $1,380 on car insurance for 6 months. What is the average cost per month?

Answers

Answer:

$230

Step-by-step explanation:

Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?

Answers

Answer no

Step-by-step explanation:

please mark brainlyest

$10.00/8 slices is it a unit rate

Answers

no, its not a unit rate

answer fast please and thank you

Answers

Answer:

yes

Step-by-step explanation:

what is the square root of 50?

Answers

Answer:

7.07

Step-by-step explanation:

Step-by-step explanation:

7.07

or

7.07106781187

enjoy thanks brainliest??

and yes enjo :)

5x + 1 = 3x + 7

use the model to solve for X.

Answers

Answer:

X=3

Step-by-step explanation:

First you subtract 3x from both sides to keep x on one side.

5x minus 3x is 2x.

Then you subtract 1 from both sides to keep the variable alone.

7 minus 1 is 6.

Then you divided both sides by 2.

2x divided by 2 is x and 6 divided by 2 is three.

Then all you have left is x=3

I HOPE IT WILL HELP YOU.

Thank you.

Two numbers multiply to be -40 and add to be 3. What are the numbers?

Answers

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

plz help me with this

Answers

Answer:

12

Step-by-step explanation:

a deposit of $2000 is invested in an account that earns 4.5% interest. how long until your balance reaches $3000? (assume simple interest) A= P(1+r)^t

Answers

A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.

From the given information;

the principal deposited amount = 2000the annual interest rate = 4.5%the amount (A) estimated in t years = 3000

The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;

[tex]\mathbf{A = P ( 1+ r)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]

[tex]\mathbf{3 = 2( 1.045)^t}[/tex]

[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

t = 9.2 years

Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.

Learn more about simple interest here:

https://brainly.com/question/22621039?referrer=searchResults

What is the value of f(x) = 5x +1 at f(-4) ?

Answers

Answer: -19

Solving:
f(x) = 5x + 1
f(-4) = 5(-4) + 1
f(-4) = -20 + 1
f(-4) = -19

what's -3(x-1)^2+3 in standard form and vertex form?

Answers

Answer:

Standard form: -3x ^2 + 6x

Vertex form: y = -3 (x - 1) ^2 +3

Step-by-step explanation:

Hope this helps ^v^

Solve for the variable -8 p -4p = -12

A. 9 B. 1 C. -11 D. -3

Answers

Answer:

B. p = 1

Step-by-step explanation:

[tex] - 8p - 4p = - 12 \\ - 12p = - 12 \\ p = \frac{ - 12}{ - 12} \\ p = 1 \\ [/tex]

Question 5 of 10
Pardis bought opening night tickets to a movie she had been excited about
seeing for a long time. Midway through the movie, she realizes it's bad and
wishes she had stayed home. Which question should Pardis have asked
herself before spending the money on the ticket?
A. Am I overspending?
B. Am I buying for the right reason?
Ο Ο Ο Ο
c. Am I purchasing on a whim?
D. Are my expectations too high?
SUBMIT

Answers

Answer: d bc I can't tell what  is supposed to say.

what is the average hourly pay of someone making $45,000per year. Assuming wage growth of 5% a year, how much would he make the second year

Answers

Answer:

When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.

Answer:

See below

Step-by-step explanation:

Assume the person works 40 hours a week and 52 weeks a year.

The hourly pay would be:

$45000 ÷ (40*52) = $45000 ÷ 2080 =$21.63

The yearly income the second year:

$45000 + 5% = $45000*1.05 = $47250

im in 6th grade math! what is 94/288 reduced and simplified, then converted into a mixed number

Answers

Answer:

3 3/47

Step-by-step explanation:

94/288 reduced and simplified

94( ÷2)

------

288( ÷2)

=

47/144

now convert this to a mixed number which is

3 3/47

Hope this helped you- have a good day bro cya)

A Small concert venue earned $6,804 in ticket sales. All Tickets Were The Same price. if the venue sold 252 tickets, how much does each ticket cost?

Answers

Answer:

The answer is $27 dollars per ticket

Step-by-step explanation:

You have to divide 6804 by 252 which equals 27.

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

I NEED HELP If right will make brileintest
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.


Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2.


3

one third

negative one third

−3

Answers

f(x)

(2, 0) and (3, 2)

m = y - y1

x - x1

m = 2 - 0

3 - 2

m = 2

y - y1 = m(x - x1)

y - 0 = 2(x - 2)

y = 2x - 4

f(x) = 2x - 4

g(x)

(2/3, 0) and (1, 2)

m = y - y1

x - x1

m = 2 - 0

1 - 2/3

m = 6

y - y1 = m(x - x1)

y - 2 = 6(x - 1)

y = 6x - 4

g(x) = 6x - 4

since both equations are linear that means the graphs will be straight lines with y-intercept being -4 for both of the graphs.

if,

g(x) = f(k*x)

f(x) = 2x - 4

f(k*x) = 2k*x - 4

6x - 4 = 2k*x - 4

6x = 2kx

6 = 2k

k = 3.

I hope the answer is correct. All the best!

help me plz
thank u!

Answers

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

please give the answer! thank you!! <3 :D​

Answers

Answer:

8x Should be the answer to the question

CAN ANYONE PLZ HELP ME WITH THIS WORKSHEET .. I’ll mark as brainliest

Answers

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

Solve: 3x+4 2−6x = −2/ 5

Answers

Answer:

(3x + 4)/(2 - 6x) = -2/5

=>5(3x + 4) = -2(2 - 6x)

=> 15x + 20 = -4 + 12x

=> 15x -12x = -4 -20

=> 3x = -24

x = -24/3 = -8

The volume of this sphere is 972 pi cubic inches. What is its radius?

A sphere.

Recall the formula Sphere Volume = four-thirds pi r cubed.
7 inches
9 inches
108 inches
324 inches

Answers

Answer:  9 inches

Step-by-step explanation:

   volume of a sphere = ⁴/₃ πr³

⇒      972π in³  = ⁴/₃ πr³

            729 in³ = r³

                   r    = 9 in

∴ the radius of a sphere of volume  972π in³ is 9 inches.

Answer:

9 inches

Step-by-step explanation:

3x + 7 = x -5Group of answer choices x = -6 x = -7 x = 12 x = 6

Answers

The answer is x= -7 (can you please hit thanks)

There are 109 nanoseconds in 1 second.
Find the number of nanoseconds in 5 minutes, giving your answer in standard form.

Answers

it will be 2,725 nanoseconds

4/5 of the money collected from a fundraiser was divided equally among 8 grades
What fraction did each grade receive?​

Answers

Answer:

1/10

Step-by-step explanation:

your equation is 4/5 divided by 8/1.

Lets solve that problem with the acronym KCF, or

Keep

Change

Flip.

K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.

C: "change" the division sign to a multiplication sign, so 4/5x8/1

F: "flip" the second fraction, so 8/1 becomes 1/8.

now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.

Please help, I need answers!
Q1
Solve for x.
7(x + 5) - 6x = 55
50
20
60
90

Q2
c−1.5+6.8=0.6
Answer in a decimal please

Answers

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

HELP, PLEASE HELP ME

Answers

8x=10
8(1)=8
8(1.5)=12
8(1.25)=10
X=1.25
The scale factor is 1.25 or 5/4

Write an algebraic expression into words 9m-3

Answers

Answer:

subtract 3 from the product of 9 and m

edin has £300 in his saving account.
his bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
how much interest will he have earned after 3 years?

Answers

Answer:

$45

Step-by-step explanation:

300/100 = $3 = 1%

$3 x 5 = $15 = 5%

$15 x 3 years = $45

They answer is 45, Hopes this helps

STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??

Answers

Your mom eats my hair
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