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
Aneli [31]
3 years ago
5

An equation is shown below:

Mathematics
2 answers:
mart [117]3 years ago
5 0
Multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6

Sergio039 [100]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Given: 6(2x - 11) + 15 = 21

Step 1: Use the distributive property and simplify.

12x - 66 + 15 = 21

12x -51 = 21

Step 2: Isolate the variable and constants.

Add 51 from both sides, we get

12x - 51 + 51 = 21 + 51

12x = 72

Step 3: Dividing both sides by 12, we get

x = 72/12

x = 6

The value of x = 6.

Hope this will helpful.

Thank you.

You might be interested in
A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a
myrzilka [38]
Total = Principal * (1 + rate)^years
Total = 3,300 * (1.018)^5
Total = 3,300 * <span> <span> <span> 1.0932988468 </span> </span> </span>
Total = <span> <span> <span> 3,607.8</span></span></span>9


7 0
3 years ago
In a random sample of n1 = 162 males, there are x1 = 63 people that have blue eyes. In a random sample of n2 = 333 females, ther
sesenic [268]

Answer:

z = 2.1784 > 1.96,

Reject the null hypothesis

Step-by-step explanation:

For the males:

n1  = 162, x1 = 63

P1 = x 1/ n1 = 0.3889

For the Females:

n2 = 333,

x2 = 97

P 2 = x2/n2

= 0.2913

P 1= P2 Null hypothesis

P 1 is not equal to P 2 alternative hypothesis

Pooled proportion:

P= (x1 + x2) /( n1+ n2)

= (63 + 97) / (162 + 333)= 0.3232

Test statistics :

Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)

0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)

=2.1784

c) Critical value :

Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960

Reject H o if z < -1.96 or if z > 1.96

d) Decision:

z = 2.1784 > 1.96,

Reject the null hypothesis

7 0
3 years ago
Calculus Problem
Roman55 [17]

The two parabolas intersect for

8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2

and so the base of each solid is the set

B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, |x^2-(8-x^2)| = 2|x^2-4|. But since -2 ≤ x ≤ 2, this reduces to 2(x^2-4).

a. Square cross sections will contribute a volume of

\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x

where ∆x is the thickness of the section. Then the volume would be

\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x

We end up with the same integral as before except for the leading constant:

\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx

Using the result of part (a), the volume is

\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x

and using the result of part (a) again, the volume is

\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}

7 0
2 years ago
A popular online music store allowed shoppers to listen to an entire album before buying it. Of the people who listened to the w
katrin2010 [14]

Answer:

IDK this stuff is confusing

Step-by-step explanation:

Plz like and follow

4 0
3 years ago
Please help me out? thank you!!!
NeX [460]

Step-by-step explanation:

What you need to do is convert the quarts into gallons and then you need to subtract the number by 2 and you have your answer. Sorry I cannot give you the answer! I'm kinda in a rush but I wanted to help you out.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the ratio of 168 and 439
    12·1 answer
  • Someone Please Help with these questions, also it has to be solved for x Really need help I'm slow when it comes to math.
    9·1 answer
  • on a function map, the values for the domain of the function appear on the ______ and the values for the range appear on the ___
    8·1 answer
  • para ayudar a una fundación, algunos estudiantes de grado séptimo decidieron reunir alimentos y donarlos. Andrea aporto 2,5 hg d
    12·1 answer
  • A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur
    9·1 answer
  • Daniel goes out to lunch. The bill, before tax and tip, was $14.20. A sales tax of 8% was added on. Daniel tipped 24% on the amo
    5·1 answer
  • What is 3.28 divided by 11.48 pls show me the step by step work
    13·1 answer
  • Help me <br> pleeeeease and please do it fast cause i need it quickly
    14·1 answer
  • Complex Numbers Question
    15·1 answer
  • Find the zero when f(x)=3x-12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!