a wise man once said "500 reduced by 4 times my age is 200." what is his age?

Answer:

let the decided no. be x

Now

[tex] \frac{5}{6} \times \frac{1}{x} = \frac{3}{5} [/tex]

[tex]5 \times 5 = 3 \times 6x[/tex]

[tex]x = \frac{25}{18} or1 \frac{7}{18} [/tex]

is a required answer.

when

no. divided by 5/6 equals 5/3

now

[tex] \frac{5}{6} \times \frac{1}{x} = \frac{5}{3} [/tex]

[tex]5 \times 3 = 5 \times 6x[/tex]

[tex]x = \frac{15}{30} [/tex]

[tex]x = \frac{1}{2} [/tex]is a required answer.

Answer:

x=40

Step-by-step explanation:

you have to get a answer of 60

(40)+20=60

and 2(40)-20=60

3.2

8.79

20.89

12.564

107.40

403.52

0.47531

98.7252

13,238.984

0.0075

15,011.42

Proper

Improper

11⁄ 4

33⁄ 7

14⁄ 8 or 1 1⁄ 2

3 1/6

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one.

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one. To convert an improper fraction to a mixed fraction, observe these steps:

The answer as follows:

7. 0.47531

8. 98.7252

9. 13238.984

10. 0.00757576

11. 15011.4286

12. Proper

13. Improper

14. [tex]$\frac{11}{4}[/tex]

15. [tex]$\frac{33}{7}[/tex]

16. [tex]$1\frac{4}{8}[/tex] or [tex]$1\frac{1}{2}[/tex]

17. [tex]$3 \frac{1}{6}[/tex]

To learn more about proper fraction and improper fraction

https://brainly.com/question/917764

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Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8

Answer:

1) 18a^11

2) 7b^5

3) 16c^12

4) 3/2d^2

Step-by-step explanation:

i hope this helped

Answer:

1 / 3

Step-by-step explanation:

Bag 1 :

Yellow = 3

Green = 2

Red = 1

Total = 3 + 2 +1 = 6

Bag 2 :

Yellow = 3

Green = 3

Red = 3

Total = 3 + 3 + 3 = 9

P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2

P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3

P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3

Answer:

2,1

Step-by-step explanation:

T-5 .9(×,y)

-2,-3

=2,1

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Equation

3x + 4 = 25

2. Subtract 4 from both sides

3x + 4 = 25

     - 4    - 4

3. Solve

3x = 21

4. Divide both sides by 3

3x = 21

/3     /3

5. Solve

x = 7

Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN=[tex]\sqrt{481}[/tex]

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

Answer:

Okay done

Step-by-step explanation:

Answer:

8 ft is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

the coordinate of D is (3,-3) because it is 3 units right from the x axis and -3 units down in y axis.

Answer:

3,1x  3,1y

Step-by-step explanation:

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

SOLUTION 1 :-

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

SOLUTION 2 :-

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

Answer:

249cm or the third option

Step-by-step explanation:

I got it right on the test.  Good luck to you!

Answer:

it's either a or b, but I would go with A

Answer:

the correct answer is A because the synonym 0f supplementary angle is straight angle and on obviously the sum of straight angle is 180⁰.

Answer:

area of circle having radius 3

is πr²=π*3²=9π square units

area of circle having radius 2

=πr²=π×2²=4π square units

again

area of big circle having radius [3+2]=5 units

=πr²=π×5²=25π square units

Now

area of shaded region=25π-4π-9π=12π or 37.7square units.

Answer:

37.7 sq units

Step-by-step explanation:

Find area if entire region then subtract out each smaller circle

Diameter of entire circle would be 3(2)+2(2) which is 10 so radius is 5

Area of entire region = 25π

Area of circle one = 9π

Area of circle two = 4π

Area of shaded region = 25π - 13π which is 12π or 37.7

Answer:V=804.3

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

Formula=V=πr^2 h/3

V=π8^2 12/3

Translate to the right 7 or 8 units

Answer:

y2-y1 / x2-x1

Step-by-step explanation:

Answer:

2²4

4²=16

4+16=20

hope it helps :)

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

Answer:

9:30am

Step-by-step explanation:

To find what time simply add all of the minutes together and subtract. All of the steps take 100 minutes to do. 11.10 am is 670 minutes. So 670 - 100 = 570 then divide by 60 to get the time ie 9:30 am

Answer:

3

Step-by-step explanation:

Answer:

31). Maximum height = 100 feet

32). Time to hit the ground = 5 seconds

Step-by-step explanation:

31). Equation modeling the height 'h' of the ball is,

     h = -16t² + 80t

     For the maximum height of the ball,

     Find the derivative of 'h' with respect to time 't' and equate it to zero.

     [tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]

          [tex]=-32t+80[/tex]

     [tex]\frac{dh}{dt}=0[/tex]

     [tex]-32t+80=0[/tex]

     [tex]t=\frac{80}{32}[/tex]

     [tex]t=2.5[/tex] seconds

     That means after 2.5 seconds ball will reach the maximum height.

     By substituting [tex]t=2.5[/tex] in the equation,

     [tex]h=-16(2.5)^2+80(2.5)[/tex]

     [tex]h=100[/tex] feet

     Therefore, maximum height achieved by the ball is 100 feet.

32). If the ball follows the parabolic path,

      Time taken by the ball to reach the maximum height = Time taken by  the ball to come back to the ground from the maximum height.

      Time taken by the ball to hit the ground = 2(2.5) = 5 seconds

Answer:

80

Step-by-step explanation:

theres not picture so like i cant help u with that

Answer:

To calculate the perimeter of a triangle, add the length of its sides.

Step-by-step explanation:

Answer:

14x - 4

Step-by-step explanation:

perimeter is the sum of all sides

6x-8 + 3x+7 +5x-3

combine like terms to get:

14x -4

Answer:

Width = 1 m and length = 6 m

Step-by-step explanation:

Let b is the width of the rectangle.

Length = 5+b

The area of the rectangle, A = 6 m²

We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :

A = lb

[tex]6=(5+b)b\\\\6=5b+b^2\\\\b=-6, b=1[/tex]

Width of the rectangle = 1 m

Length of the rectangle = 5+b = 6 m

Hence, this is the required solution.