The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

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Answer:

24x

Step-by-step explanation:

4x + 4x + 4x + 4x + 4x + 4x

=> 4(x + x + x + x + x + x)

=> 4(6x)

=> 24x

Answer:

0.18

Step-by-step explanation:

hope this helps

Answer:

0.18

Step-by-step explanation:

multiply them together

Answer:

15.07352941

Step-by-step explanation:

in short 15.07

Answer:

1/6

Step-by-step explanation:

The total amount of people 8+4=12

there are 4/2=2 girls with glasses

the probability to chhose a girl with glasses is 2/12=1/6

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Answer:

3π

Step-by-step explanation:

540° = 360° x 1 + 180°

= 2π + π

= 3π

CMIIW

Answer: Choice C.  f(x) and g(x) have a common x intercept.

Explanation:

The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.

The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.

This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.

Answer:

Cost = $1 + $0.41x

Step-by-step explanation

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

Answer:

well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6

Step-by-step explanation:

so just add 4.2 or 5.6 to hours and you will get you question at what time he left

Answer:

A

Step-by-step explanation:

This uses the sine law.

Sin(theta)/113 = sin(42)/120             Multiply both sides by 113

sin(theta) = 113*sin(42)/120

sin42 = 0.6691

sin(theta) = 113 * 0.6691 / 120

sin(theta) = 0.630008

theta = sin-1(0.63008)

theta = 39.1    Looks Like A

Answer:

Step-by-step explanation:

[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]

[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]

[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]

[tex] = \frac{57 - 88}{70} [/tex]

[tex] = \frac{ - 31}{70} (ans)[/tex]

Answer:

17x² - 22x - 2

Step-by-step explanation:

Given

(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis

= 5x² + 6x - 2 + 12x² - 28x ← collect like terms

= 17x² - 22x - 2

Answer:

0.0012*​x*​0.46

Step-by-step explanation:

Answer:

A. exponential; y = 89 • 0.62x

Step-by-step explanation:

exponential; y = 89 • 0.62^x

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r =  = 0.618

r =  = 0.618

so it can be represented by an exponential model.

Answer:

4 and 5

Step-by-step explanation:

4^2 = 16

5^2 = 25

Answer:

Option A.

Step-by-step explanation:

An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.

[tex]|x-5|=x-5[/tex]

or

[tex]|x-5|=-(x-5)=-x+5[/tex]

The only options with these equations are A. and D.

D. can be eliminated as the inequalities given for the piecewise function do not match f(x)

To see it visually, you can try graphing it on a calculator or internet graphing service.

Answer:

[ - 4, 8 ]

Step-by-step explanation:

parenthesis ( ) is used when end values are not equal to x

brackets [ ] are used when the end values are equal to x

For - 4 ≤ x ≤ 8

Then x can equal both - 4 and 8 , so

[ - 4, 8 ] ← is the appropriate interval notation

Answer:

See below

Step-by-step explanation:

22. 30 = 2 * 3 * 5

23. 126 = 2 * 3 * 3 * 7

24. 4900 = 2 * 2 * 5 * 5 * 7 * 7

25. 39204 = 2 * 2 * 3 * 3 * 3 * 3 * 11 * 11

26. There's no square number

27. The highest common factor are

   30 is 5

   126 is 7

  4900 is 7

 39204 is 11

28. The lowest common factor are

 30 is 2

 126 is 2

 4900 is 2

 39204 is 2

What about you? What did you get?

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

Answer:

The correct choice is option B. -7 ≤ x < 12

Step-by-step explanation:

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

alright I can help!!

so slope intercept form is y= mx +b

20y=16x+120

y=(16x+120)/20

final answer: y=(4/5)x +6

Answer:

Equation x(6+6)=3(10+x)

x=3.33

Step-by-step explanation:

Form an equation:

x(6+6) The result of 6+6 is multiplied by x, so you would put 6+6 in a bracket (you do what's inside the bracket first in BODMAS) and the x on the outside so you times the result by x.

3(10+x) The number x is added to 10 and the result is multiplied by 3, so the 10+x would go in a bracket with 3 on the outside.

These equal each other, so you would put an equals sign between it to make:

x(6+6)=3(10+x)

Solve to find x:

12x=30+3x You expand the brackets to make this.

9x=30 You would move 3x to the other side by doing the inverse and taking away 3x from 12x.

x=3.33 To get x you would have to do 30 divided by 9 which is 3.33.

Hope this helps :)

The number asked is 8

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, When six is added to six times a number, the result obtained is the same as when the number is added to 10 and the result multiplied by 3.

Let the number be x,

Establishing, the equation,

6x+6 = 3(x+10)

6(x+1) = 3(x+10)

6/3(x+1) = x+10

2(x+1) = x+10

2x+2 = x+10

x = 8

Hence, the required number is 8.

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Answer:

 = 1/ (3x-2)

Step-by-step explanation:

H(x) = 1/(x+2)

k(x) = 3x - 4

h[k(x)] =  place the function k(x) in for x in the function h(x)

           = 1/(3x-4 +2)

Combine like terms

           = 1/ (3x-2)

Hey there! I'm happy to help!

What we need to do is take the value of k(x) which is 3x-4 and plug it into the function h(x).

This is because our x in the function h[k(x)] is k(x), so we will substitute that value for x in that formula and that will give us our answer.

H[(k(x)]=1/(3x-4+2)

And combine like terms

H[(k(x)]=1/(3x-2)

So, our answer is C. 1/(3x-2)

Have a wonderful day and keep on learning! :D

Answer:

$210

Step-by-step explanation:

$300 - (5 x 18)

= 300 - 90

= $210