1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadezda [96]
3 years ago
8

Twice the sum of two numbers is 24. if one number is 2 times larger than the other, what is the smaller of the two numbers?

Mathematics
1 answer:
Vikki [24]3 years ago
4 0
2(x+y)=24
2x=y

Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations. 

So using that we get 2(x+2x)=24

SIMPLIFY
2(3x)=24

DISTRIBUTE
6x=24. 

DIVIDE: x=4.

If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers. 

Have a nice day! :)


You might be interested in
The rational number -41 is equal to
kolezko [41]

Answer:

0

Step-by-step explanation:

-14 is also equal to 0

cause it does not have any value

8 0
3 years ago
Look at abc. which triangle is congruent abc by the asa criterion
Bad White [126]
There is only 1 triangle
4 0
3 years ago
The manager of a store orders model railroad sets that cost $390 and sells them for $429. What is the mark-up, as a percentage?
Katarina [22]

Answer:

10%

Step-by-step explanation:

We have been given that the manager of a store orders model railroad sets that cost $390 and sells them for $429.  

We will use markup % formula for our given problem.

\text{Markup percentage}=\frac{\text{Selling price- Cost}}{\text{Cost}}\times 100

\text{Markup percentage}=\frac{429-390}{390}\times 100

\text{Markup percentage}=\frac{39}{390}\times 100

\text{Markup percentage}=\frac{1}{10}\times 100

\text{Markup percentage}=10

Therefore, markup is 10% of cost.

4 0
3 years ago
What is the length of the diameter?
ollegr [7]

Answer:

diameter = 2 * radius = 2 * 14 = 28 cm

3 0
2 years ago
Read 2 more answers
Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-
DENIUS [597]

\vec F(x,y,z)=(e^x+y)(1,1,z)

is conservative if we can find a scalar function f such that \nabla f=\vec F. This would require

f_x=e^x+y

f_y=e^x+y

f_z=(e^x+y)z

Integrating both sides of the first equation wrt x gives

f(x,y,z)=e^x+xy+g(y,z)

Differentiating both sides of this wrt y gives

f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)

but we assumed g was a function of y and z, independent of x. So there is no such f and \vec F is not conservative.

To find the work, first parameterize the path (call it C) by

\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)

for 0\le t\le1. Then

\vec r'(t)=(-4,5,-5)

and the work is given by the line integral,

W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}

8 0
3 years ago
Other questions:
  • Subtract use model if needed <br><br> (9x+5) - (4x+3)=
    14·2 answers
  • Lagrange multipliers have a definite meaning in load balancing for electric network problems. Consider the generators that can o
    15·1 answer
  • –7 – 4p - (-5)<br> Hurry plzzz
    12·1 answer
  • 1,114,040 in word form
    9·1 answer
  • After you add both sides by 9. How can you solve for 5z in this equation?
    6·1 answer
  • This is just a random question don't answer im testing something out
    13·1 answer
  • Joe is installing a light fixture on a wall using a 10 foot ladder. A flower garden is planted along the wall, so Joe must place
    8·1 answer
  • For what value of x is the equation 6x-15=x+85
    5·2 answers
  • Formula of perimeter and area ​
    11·2 answers
  • What is the following product? Assume b&gt;0.<br> Square root of b x square root of b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!