An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.

Answer:

3=x+5

Step-by-step explanation:

Answer:

x + 5 = 3

Step-by-step explanation:

"Three is 5 more than a number."

The word is indicates that 3 is the final number, or rather, what the equation equals.

Then, 5 more than a number, shows the rest of your equation. A number is just your variable, so any letter. We'll use X. Then, it says that the answer (3) is 5 more than x. So, your equation is:

x + 5 = 3

Answer:

3:5 & 18:30

Step-by-step explanation:

To find an equivalent ratio, just multiply or divide both terms by the same number. For the two I did, I divided by 3 for one, and multiplied by 2 for the other, but there are infinite possibilities. Hope this helped!

The service charge without the VAT is  Rs. 2000.

VAT means value added tax. It is a form of tax levied on goods and services. Taxes are compulsory amounts or percentages that is levied on certain goods and services. Taxes increase the price of products.

Service charge = VAT / percentage VAT

260 / 13%

260 / 0.13 = Rs. 2000

To learn more about taxes, please check: https://brainly.com/question/25311567

Answer:

x = 41° , y = z = 74°

Step-by-step explanation:

x and 41 are alternate angles and are congruent , then

x = 41°

the 2 sides of the triangle with vertex = 32° are congruent so the triangle is isosceles with base angles being congruent , then

y = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

y and z are vertically opposite angles and are congruent so

z = 74°

Answer:

[tex]\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Step-by-step explanation:

Perform the partial fraction decomposition

[tex]\int{\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)} } \, dx\\ \\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\ \\7x^3+5x^2+49x+5=(x^2+7)(Ax+B)+(x^2+1)(Cx+D)\\\\7x^3+5x^2+49x+5=Ax^3+Bx^2+7Ax+7B+Cx^3+Dx^2+Cx+D\\\\7x^3+5x^2+49x+5=Ax^3+Cx^3+Bx^2+Dx^2+7Ax+Cx+7B+D\\\\7x^3+5x^2+49x+5=x^3(A+C)+x^2(B+D)+x(7A+C)+7B+D[/tex]

Set up a system of equations and solve for each constant

[tex]\begin{cases} A + C = 7\\B + D = 5\\7 A + C = 49\\7 B + D = 5 \end{cases}[/tex]

[tex]A+C=7\\A=7-C[/tex]

[tex]7A+C=49\\7(7-C)+C=49\\49-7C+C=49\\49-6C=49\\-6C=0\\C=0[/tex]

[tex]A=7-C\\A=7-0\\A=7[/tex]

[tex]B+D=5\\B=5-D[/tex]

[tex]7B+D=5\\7(5-D)+D=5\\35-7D+D=5\\35-6D=5\\-6D=-30\\D=5[/tex]

[tex]B=5-D\\B=5-5\\B=0[/tex]

Plug solved constants in and evaluate

[tex]\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x+0}{x^2+1}+\frac{0x+5}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x}{x^2+1}+\frac{5}{x^2+7}[/tex]

Break up integral

[tex]\int {\bigr(\frac{7x}{x^2+1}+\frac{5}{x^2+7}\bigr) } \, dx[/tex]

[tex]\int {\frac{7x}{x^2+1} } \, dx +\int {\frac{5}{x^2+7}} \, dx\\\\\int {\frac{7x}{x^2+1} } \, dx +5\int {\frac{1}{x^2+7}} \, dx[/tex]

Solve first integral

Let [tex]u=x^2+1[/tex] and [tex]du=2xdx[/tex] for the first integral. Thus, [tex]\frac{7}{2}du=7xdx[/tex]:

[tex]\frac{7}{2}\int {\frac{du}{u}}\\\\\frac{7}{2}ln(|u|)+C\\ \\\frac{7}{2}ln(|x^2+1|)+C[/tex]

Solve second integral

Since [tex]5\int {\frac{1}{x^2+7} } \, dx[/tex] is in the form of [tex]\int{\frac{1}{x^2+a^2} } \, dx[/tex], its formula is [tex]\frac{1}{a}arctan(\frac{x}{a})+C[/tex]:

[tex]5\int {\frac{1}{x^2+7} } \, dx\\\\5\bigr(\frac{1}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\bigr)\\\\\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Combine integrals

[tex]\biggr[\frac{7}{2}ln(|x^2+1|)+C\biggr]+\biggr[\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\biggr]\\ \\\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Answer:

A:

625 in3 I think

ok so I think coz I'm in 4rth

Answer:

x = - [tex]\frac{7}{2}[/tex], x = - 3

Step-by-step explanation:

Given

2x² + 13x = - 21 ( add 21 to both sides )

2x² + 13x + 21 = 0 ← in standard form

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 21 = 42 and sum = + 13

The factors are + 6 and + 7

Use these factors to split the x- term

2x² + 6x + 7x + 21 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) + 7(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(2x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = - [tex]\frac{7}{2}[/tex]

Answer: angle BEC = 43 degrees

Step-by-step explanation:

Straight angle = 180 degrees

75 + 62 = 137

180 - 137 = 43

Answer:

the smallest angle are 30 degree

Step-by-step explanation:

let x is the angle of triangle

x+2x+3x=180

6x=180

6x/6=180/6

x=30 degree

2x=60 degree

3x=90degree

Answer:

b=0.7(3) The 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

If you simplify the sides, it will equal -1.5b=3b-3.3. This means that 4.5b=3.3. This means that b=0.7(3). The 3 will repeat forever.

Hopefully the explanation and the answer helps you!

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

Using Venn probabilities, it is found that there is a 0.65 = 65% probability that a fan item selected at random will have at least one defect.

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this problem, the given probabilities are [tex]P(A) = 0.4, P(B) = 0.5, P(A \cap B) = 0.25[/tex], hence, the "or probability", also called the "at least one" probability, is given by:

[tex]P(A \cup B) = 0.4 + 0.5 - 0.25 = 0.65[/tex]

0.65 = 65% probability that a fan item selected at random will have at least one defect.

More can be learned about Venn probabilities at https://brainly.com/question/25698611

Answer:

[tex]\frac{2}{3}[/tex] lbs per book

Step-by-step explanation:

     We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.

     4 lbs / 6 books = [tex]\frac{4/2}{6/2}=\frac{2}{3}[/tex] lbs

Each book weighs [tex]\frac{2}{3}[/tex] lbs

2/3 is equal to about 0.667

Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

Answer:

Total yearly interest for the two accounts is: $570

Step-by-step explanation:

0.075*1000+0.0825*6000=570

75.0+495.0=570

Answer:

20

Step-by-step explanation:

9/g+2h+5

g=3

h=6

=9/3+2(6)+5

=3+12+5

=20

hope dis helps.

pls brainliest!!!!!

Answer:

a. 4, b.20

Step-by-step explanation:

There are 4 quarter mile laps in 1 mile, so you multiply the miles covered by 4 to find out the quarter mile laps.

a. 1x4=4

b. 5x4=20

Answer:

a. 4, b. 20

Step-by-step explanation:

A quarter mile is 1/4 a mile is 4/4 so if Jim runs 4 quarter miles he will run a mile so 4 is your answer. Since we know that a quarter mile is 1/4 and a mile is 4/4 we multiply 4*5 and get 20.

Answer:

  $750

Step-by-step explanation:

Tim's share price changes by $2.24 -2.49 = -0.25, so the change in the value of his investment is ...

  (3000 shares)(-0.25/share) = -$750

Tim takes a loss of $750 when he sells.

Answer:

Step-by-step explanation:

$\$1170$

Bob's initial investment is given by

Initial Investment =3,000×$1.25=$3,750.

When Bob sells the shares, he sells them for

Sold for price=3,000×$0.86=$2,580.

Therefore Bob's total LOSS is given by

Loss =$3,750−$2,580=$1,170.

9514 1404 393

Answer:

  240

Step-by-step explanation:

Your calculator can tell you the answer.

__

If you're doing this by hand, it can be convenient to combine the multipliers of 48:

  (2 5/7)·48 +(2 2/7)·48 = (2 5/7 +2 2/7)·48 = ((2+2) +(5/7+2/7))·48

  = (4 +7/7)·48 = 5·48 = 240

Answer:

123 milligrams

Step-by-step explanation:

76 : 3.1 = x : 5

76 * 5 = 3.1x

x = 76*5/3.1 = 123 milligrams

Answer:

The answer is 24

Step-by-step explanation:

Since the population after x hours is 2x, then after 12 hours, we'll substitute x = 12 into the function.

The population becomes 2 x 12 = 24

Answer:

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Step-by-step explanation:

Given the following :

P(A) = 0.44

P(B) = 0.26

P(A or B) = 0.50.

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Kindly check attached picture for detailed explanation

Answer:

The answer is letter A

Step-by-step explanation:

Answer:

  $77.76

Step-by-step explanation:

The future value formula is useful:

  FV = P(1 +r)^t

  FV = $45(1.20^3) = $45·1.728 = $77.76

Answer:

251.33cm³

Step-by-step explanation:

take pie as 22/7

surface area = 2π r h + 2π r²

2×22/7×5×3 + 2×22/7×5²

44/7×15 + 44/7×25

660/7 + 1100/7

660 + 1100 all over 7

= 1760/7

251.33cm³ Or 251.43cm³

Answer:

The answer is 112

Step-by-step explanation:

Area= base + base divided by 2 times height.

So 12+16 divided by 2 times 8.

Answer:

[tex]y = 0.04[/tex]

Step-by-step explanation:

[tex]y[/tex] ∝ [tex]\frac{k}{x}[/tex] (k is a constant we need)

[tex]12 = \frac{k}{20}[/tex]

[tex]k = 0.6[/tex]

[tex]y = \frac{0.6}{15}[/tex]

[tex]y=0.04[/tex]