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
frosja888 [35]
3 years ago
5

A first number plus twice a second number is 4. Twice the first number plus the second totals 20. Find the numbers

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

The first number is 6

The second number is -1

6+(-2)=4

6*2=12 12+(-1)=11

Step-by-step explanation:


You might be interested in
Solve for x & y. 30x−42y=−6 and 5x−7y=−1
vladimir1956 [14]
Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:

\frac{30x  - 42y}{6} = \frac{-6}{6} \\ 5x - 7y = -1

That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.

For example, x = 0 and y = \frac{1}{7} would work, but so would x = 1 and y = \frac{6}{7}
4 0
2 years ago
Please help thank you
Shkiper50 [21]

Answer:

x = 0.25

Step-by-step explanation:

When logs are added together, they are actually multiplied and then the logs taken of the product.

That sentence is actually correct, but you are going to have to read it a couple of times. You might understand it if I actually just solve the problem.

ln(2x) + ln(2) = 0              Combine the two subjects to make 1 ln.

ln (2)(2x) = 0                    Now take the antilog

ln(4x) = 0

antilog ln(4x) = e^0         e^0 = 1

4x = 1                                See your last problem.

x = 1/4

Now the question is "What's the answer?" It might be 1/4 but I doubt it. A better choice would be x = 1/4 or x = 0.25

I'd try the last one first.

6 0
3 years ago
Guys i actually need help​
maria [59]

Answer:

Rotation

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
3 years ago
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

6 0
2 years ago
Other questions:
  • Which of the binomials below is a factor or this trinomial x-2 +5x+6
    8·1 answer
  • Bella is planning to write in a journal some pages will have one journal entry on them and other pages will have two journal ent
    8·1 answer
  • A city collects property taxes on vehicles at a rate of $3 for every $100 of the assessed value beyond $10,000 (the first $10,00
    6·1 answer
  • Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d
    9·1 answer
  • A cylindrical container has a copacity of 90pi cm^3 if the diameter of the container is 6cm, what is the
    13·2 answers
  • Slope of (10,8) (2,1)
    5·1 answer
  • I need help with this please !!!!
    14·1 answer
  • 10. The length of the radius of a bicycle wheel is 14 inches. Which of the following is closest to the circumference of the whee
    6·2 answers
  • -5 a root of the Quadratic<br>equation n² - 8n-65 = o.<br>What is the other root of the<br>equation​
    9·1 answer
  • Create a system of equations with a solution of (4,1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!