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
vredina [299]
3 years ago
9

16 increased by twice a number is -24 what is the solution?

Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

You might be interested in
Find all the zeros of the equation x^4-6x^2-7x-6=0
rusak2 [61]

Answer:

The zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

a_0=6,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}

-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2

=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\

=x^3-2x^2-2x-3

Again factor using the rational root test, we get

=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)

Using the zero product rule, we have

x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Therefore, the zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}


4 0
3 years ago
Read 2 more answers
What time is 17 hours after 1:00 p.m?
lana66690 [7]

Answer:

6am

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the value of X
ExtremeBDS [4]
\dfrac{6}{9}=\dfrac{x+3}{3+9}\\
\dfrac{2}{3}=\dfrac{x+3}{12}\\
3(x+3)=24\\
x+3=8\\
x=5
8 0
3 years ago
Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.
asambeis [7]
X= 130 degrees since 180 is the total minus 50 from above
7 0
3 years ago
A company that makes​ hair-care products had 7000 people try a new shampoo. Of the 7000 ​people, 40 had a mild allergic reaction
olasank [31]

Answer:

5.72

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What's the long formula to find the surface area of a cylinder ?
    13·1 answer
  • At a pizza shop, 75% of the customers order pizza, 20% of the customers order salad, and 15% of the customers order a pizza and
    11·2 answers
  • Determine the corresponding ordered pair of the point on the unit circle for 945° ​
    13·1 answer
  • HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
    13·2 answers
  • Find the value of x in the triangle shown below.
    10·1 answer
  • Va rog e urgent am nevoie de raspuns
    15·1 answer
  • Write an inequality for which 3, -4, 0, and 2,300 are solutions.<br>I need the answer ASAP!!
    8·1 answer
  • HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form
    15·2 answers
  • What is the value of z in the equation 5(2z+4)
    6·2 answers
  • For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!