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
nordsb [41]
2 years ago
14

Seven times the sum of 4 and some number is 42

Mathematics
1 answer:
Naddik [55]2 years ago
7 0

Answer:

x=2

Step-by-step explanation:

7\times{(4+x)}=42

Divide both sides by 7:

4+x=42\div{7}\\4+x=6

Subtract 4 from both sides:

x=6-4\\x=2

You might be interested in
08 Match the following
nataly862011 [7]
English. ???????????
8 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
2 years ago
How can you find the probability of a simple event if the total number of equally likely outcomes is 20?
dimaraw [331]
You can divide the total number of outcomes.
5 0
3 years ago
Is 3/47 a rational number
lesya692 [45]
3/47 is a rational number

p/q is a rational number, where p and q are real integers, and q does not equal to 0.
8 0
3 years ago
Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2
Lapatulllka [165]
The answer is 9/5

You do 9x1/5 so 9x1 is 9. That’s your numerator and 5x1 is 5 and that’s your denominator
5 0
2 years ago
Other questions:
  • Julio sells computers at an electronics store. Let the random variable C represent the number of computers that Julio sells in o
    10·1 answer
  • Simplify,, Explantion if possible
    11·2 answers
  • Which of these is a trinomial?
    9·2 answers
  • What is 3 1/7+2 1/7 in mathematics
    5·2 answers
  • Add the following military times: 0843 + 0711
    13·2 answers
  • Solve all these to be marked the brainlest
    5·1 answer
  • Find angle B <br> It’s says I need 20Characters to ask the question so here u go
    8·1 answer
  • Find five solutions for the linear equations 2x + y =5
    12·1 answer
  • An animal rescue group tracks how their marketing impacts the pet adoptions that occur each year. A record of adoptions for a 12
    12·1 answer
  • Karen fills an aquarium to a depth of 25 meters in 4 minutes. What is the unit rate in minutes per meter? Write your answer in s
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!