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
kotykmax [81]
3 years ago
5

Benny sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with ? i need to write it in num

erical form
Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

22

Step-by-step explanation:

1/2x + 6 = 17

subtract 6 from each side of the equation:

1/2x = 11

multiply both sides by 2:

x = 22

You might be interested in
A brass ornament has a volume of 24cm^3.
dedylja [7]

For this case we have that by definition, the density is given by:

d = \frac {M} {V}

Where:

M: It is the mass

V: It is the volume

According to the data of the statement we have:

V = 24 \ cm ^ 3\\d = 8.7 \frac {g} {cm ^ 3}

So, the mass is given by:

M = d * V\\M = 24 \ cm ^ 3 * 8.7 \frac {g} {cm ^ 3}\\M = 208.8 \ g

Thus, the mass of the brass ornament is208.8 \ g

Answer:

208.8 \ g

3 0
3 years ago
Calculate each or quotient 2 2/5 x3 1/3=
My name is Ann [436]
8

You multiply the numbers
6 0
3 years ago
A quadratic function has zeros -7 and 9. What are the linear factors of the function?
garik1379 [7]

Answer:

(x+7)(x-9) = 0

Step-by-step explanation:

x + 7 = 0

x = -7

x - 9 = 0

x = 9

4 0
3 years ago
Forty-eight pounds of sand are used to fill 12 bags. Miranda uses the five-step problem-solving plan. After completing the Solve
Alja [10]

48 lbs / 12 bags

About 4 pounds of sand per bag

3 0
3 years ago
Read 2 more answers
Find the integral using substitution or a formula.
Nadusha1986 [10]
\rm \int \dfrac{x^2+7}{x^2+2x+5}~dx

Derivative of the denominator:
\rm (x^2+2x+5)'=2x+2

Hmm our numerator is 2x+7. Ok this let's us know that a simple u-substitution is NOT going to work. But let's apply some clever Algebra to the numerator splitting it up into two separate fractions. Split the +7 into +2 and +5.

\rm \int \dfrac{x^2+2+5}{x^2+2x+5}~dx

and then split the fraction,

\rm \int \dfrac{x^2+2}{x^2+2x+5}~dx+\int\dfrac{5}{x^2+2x+5}~dx

Based on our previous test, we know that a simple substitution will work for the first integral: \rm \quad u=x^2+2x+5\qquad\to\qquad du=2x+2~dx

So the first integral changes,

\rm \int \dfrac{1}{u}~du+\int\dfrac{5}{x^2+2x+5}~dx

integrating to a log,

\rm ln|x^2+2x+5|+\int\dfrac{5}{x^2+2x+5}~dx

Other one is a little tricky. We'll need to complete the square on the denominator. After that it will look very similar to our arctangent integral so perhaps we can just match it up to the identity.

\rm x^2+2x+5=(x^2+2x+1)+4=(x+1)^2+2^2

So we have this going on,

\rm ln|x^2+2x+5|+\int\dfrac{5}{(x+1)^2+2^2}~dx

Let's factor the 5 out of the intergral,
and the 4 from the denominator,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\frac{(x+1)^2}{2^2}+1}~dx

Bringing all that stuff together as a single square,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\left(\dfrac{x+1}{2}\right)^2+1}~dx

Making the substitution: \rm \quad u=\dfrac{x+1}{2}\qquad\to\qquad 2du=dx

giving us,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\left(u\right)^2+1}~2du

simplying a lil bit,

\rm ln|x^2+2x+5|+\frac52\int\dfrac{1}{u^2+1}~du

and hopefully from this point you recognize your arctangent integral,

\rm ln|x^2+2x+5|+\frac52arctan(u)

undo your substitution as a final step,
and include a constant of integration,

\rm ln|x^2+2x+5|+\frac52arctan\left(\frac{x+1}{2}\right)+c

Hope that helps!
Lemme know if any steps were too confusing.

8 0
3 years ago
Other questions:
  • Write the expression using exponents.<br><br> a⋅a⋅c⋅c
    7·1 answer
  • Solve the system.
    11·1 answer
  • What is greater 0 or 2x-6?​
    7·2 answers
  • A bird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. His predict
    7·2 answers
  • 10) The binary notation of 231) is
    8·1 answer
  • Can someone help me on my homework?
    6·1 answer
  • Double the difference between 7 and y
    12·2 answers
  • Question 8 of 10
    13·1 answer
  • Each Serving of pasta is 1/2 pound. Drag to correct equation to each amount to show how many 1/2 pound serving Can be made​
    6·1 answer
  • Ill give brainlest if right
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!