Help please(geometry math)

Answer:

Step-by-step explanation:

320% 360 = ?

320/100 * 360 =

3.2*360 = 1152

Hello.

First, we have a number k multiplied by 6, so we write

6 times a number k

or

6 times k

Now, we also add 23.

We can write it as

the product of 6 and k plus 23

or

6 times k plus 23

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

Cross multiply,

74* b = 600 * 100

74b = 60000

b = 60000/74 = 810.8

Step-by-step explanation:

last week there were 19+30+77 = 126 customers.

19/126 = 1/14 paid cash.

30/126 = 5/21 paid by debit card.

77/126 = 11/18 paid by credit card.

next week he expects 1800 customers.

that is compared to 126 a factor of

1800/126 = 300/21 = 100/7

now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.

it simply follows the rule

(a + b + c) × d = ad + bd + cd

so,

77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.

Answer:

= 0.25

Step-by-step explanation:

p (A)= 0.4

P (B)= 0.6

P (A and B) = P (A) × P (B)

= ( 0.4 × 0.6 )

= 0.25

Answer:

y = -2

Step-by-step explanation:

Y × 9 = -18

Y = -18 / 9

Y = -2

Answer:

The least common denominator for 1/3 and 5/11 is 33, and the least common denominator for 4/5 and 1/6 is 30! Hope this helps.

Step-by-step explanation:

Answer:

3c-6

Step-by-step explanation:

One day is c-2 so we need to multiply by 3. We get 3(c-2) or 3c-6.

Tip: use the variables/numbers in the problem to form an equation. Then, simplify.

Answer:

Denominators

Step-by-step explanation:

a. 4

b. 7

c. 3

d. 3

Just divide the denominator of the fractions

Answer:

about 198 miles

Step-by-step explanation:

183.38

- 18.95

_______

164.45 divided by .87 is 198.0229885057

Answer:

17%

Step-by-step explanation:

The initial value was 117,000

the final value was 136,900 i assume and not 136,90 like you had typed.

Answer:

Ben

Step-by-step explanation:

Ben is correct. because you have  to start 0° from right hand side.

The time taken to reach the scene is 14 minutes, the correct option is D.

Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.

The distance is 10.5 miles

The speed of driving is 45 miles/ hour

Time period = ?

Let t denotes the time taken to reach

Speed =  Distance / Time

45 = 10.5 / t

t = 10.5/45 = 0.233 hours

t = 0.233 *60 = 14 minutes

Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.

To know more about Speed

https://brainly.com/question/7359669

#SPJ2

Answer:

area of a deck

A= External area - Internal area

A = length x width

A = ( 44ft x 28ft) - ( 32ft x 16ft)

A = 720ft²

A. The mass of the rock in ounce is 22400 ounce.

B. The mass of the rock in ton is 0.7 ton

1 pound = 16 ounce

Therefore,

1400 pound =1400 × 16

1400 pound = 22400 ounce

1 pound = 0.0005 ton

Therefore,

1400 pound =1400 × 0.0005

1400 pound = 0.7 ton

Learn more about conversion:

https://brainly.com/question/2139943

Answer:

Divide by 2.54

Step-by-step explanation:

Because a centimeter is smaller than an inch, you have to divide by 2.54 when converting from cm to inches.

The third angle measures 30° and two sides have the same length.

A triangle is a polygon with three sides and three angles. The angles in a triangle sum up to 180°.

Types of triangles are scalene, isosceles, equilateral and right angled triangle.

Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:

x + 120 + 30 = 180° (sum of angles in a triangle)

x = 30°

Since two angles are the same, hence two sides have the same length.

Find out more on triangle at: https://brainly.com/question/2644832

Answer:

x = 30°

Step-by-step explanation:

Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:

x + 120 + 30 = 180° (sum of angles in a triangle)

Since two angles are the same, two sides have the same length.

Answer:

Step-by-step explanation:

Let the family spent 'x' hours in the town.

Parking cost for 'x'hours = 4*x = 4x

Now the total amount = Cost of the movie ticket + parking cost

                                    = 36 + 4x

Total cost should be less than $ 60

36 + 4x < 60

Subtract 36 from both sides

4x < 60 - 36

4x < 24

Divide both sides by 4

x < 24/4

x < 6

The family can spend less than 6 hours in the town.

Step-by-step explanation:

N:2 = 15:5

N\2 = 15\ 5

Now cross multiply,

5N = 30

N = 6

Answer:

Step-by-step explanation:

N:2 = 15/5 solve it for n

n : 2 = 15 : 5

n = 2 * 15 : 5

n = 30 : 5

n = 6

---------------------

check

6 : 2 = 15 : 5

3 = 3

the answer is good

Answer:

0.05x+0.10(35-x)=2.50

(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100

check

Answer:

24.123

Step-by-step explanation:

Simplify  6.7 + 3  to  9.7

9.7 + 9.863 + 4.56

Simplify  9.7 + 9.863   to  19.563

19.563 + 4.56

Simplify

24.123

Answer:

there were 223 child plates and 149 adult plates

Step-by-step explanation:

There were 223 child plates.

Since there were a total of 372 plates, there will be 149 adult plates (223 + 149 = 372)

To verify, the total amount raised would be $2121.50:

3.50c + 9a = 2121.50

3.50*223 + 9*149 = 780.50 + 1341.00= $2121.50

Answer:

I guess it's 6 but I'm not really sure about my answer

Substitute [tex]y = x^{\frac{2n-1}2}[/tex] and [tex]dy = \frac{2n-1}2 x^{\frac{2n-3}2} \, dx[/tex]. Then the integral is

[tex]\displaystyle \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1 + x^{2n-1}} \, dx = \frac2{2n-1} \underbrace{\int_0^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy}_I[/tex]

which is to say, the integral is now independent of n. Then

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = I \sum_{n=1}^\infty \frac{2(-1)^{n+1}}{2n-1}[/tex]

Let's evaluate the sum. Recall that if |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

which means

[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{n=0}^\infty \left(-x^2\right)^n = \sum_{n=0}^\infty (-1)^n x^{2n}[/tex]

By the fundamental theorem of calculus, integrating both sides gives

[tex]\displaystyle \tan^{-1}(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1} = \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

As x approaches 1 from below, we have

[tex]\displaystyle \lim_{x\to1^-} \tan^{-1}(x) = \lim_{x\to1^-} \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

[tex]\displaystyle \frac\pi4 = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1} \left(\lim\limits_{x\to1^-} x^{2n-1}\right) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1}[/tex]

and so

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 I[/tex]

Now compute the remaining integral. First split it at y = 1 :

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy[/tex]

In the second integral, notice that replacing [tex]z=\frac1y[/tex] and [tex]dy = -\frac{dz}{z^2}[/tex] yields

[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy = - \int_1^0 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1 + \frac1{z^2}} \, \frac{dz}{z^2}  = \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz[/tex]

The inverse tangent function has the property

[tex]\tan^{-1}(x) = \dfrac\pi2 - \tan^{-1}\left(\dfrac1x\right)[/tex]

so it follows that

[tex]\displaystyle \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz = \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

and hence

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

[tex]\displaystyle I = \frac\pi2 \int_0^1 \frac{dz}{1+z^2}[/tex]

[tex]I = \dfrac\pi2 \times \dfrac\pi4 = \dfrac{\pi^2}8[/tex]

Then the original expression has an exact value of

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 \times \frac{\pi^2}8 = \boxed{\frac{\pi^3}{16}}[/tex]

Answer:

Step-by-step explanation:

Remark.

I take it that this is a calculus question question.

Expand c(x)

c(x) = 0.45 + 0.2x - 0.2        Combine

c(x) = 0.25 + 0.2x/dx

c(x) =  0.2

Can you rephrase the question so I can better understand cause

5/6 is already a fraction as in 5 over 6 so I'm not sure how to answer

Answer:

Step-by-step explanation:

12% of 85 =x                Change the % to a fraction

12/100 * 85 =  x            Divide 100 into 85

12 * 0.85 = x                 Multiply by 12

10.2 = x