The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12cm , find the diameter of the ball

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

Answer:

x + 2

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49

Step-by-step explanation:

that's the answer

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

More about the solution of the equation link is given below.

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Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

➝ 1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

➝ 805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

➝ 835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

➝ 865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

➝ 885

Hence, the answer is 805, 835, 865, 885.

Answer:

Step-by-step explanation:

+3 - (+ 7) = 3 + (-7) = -4

Both integers have different sign. So, subtract and  the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

Answer:

not sure if u saw the comment but

7 and 8 are congruent, and 8 is congruent to 10

that maybe the rest of the answer

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

Answer:

y=2

x=-4

hope this helps!

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1

Answer:

0.6x30=18

Step-by-step explanation:

18 miles would be how far it ran.

You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.

Answer:

0.6 × 30 = 18

Step-by-step explanation:

You multiply the two values to get 18:

0.6 * 30 = 18

Hope that helps! :)

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

Answer:

180

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

ok done. Thank to me :>

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry

2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.

answer: 2:15

explaination :

Answer: It’s C

Step-by-step explanation:

Answer:

roben,dove,raven  ,goose

Step-by-step explaunation:

you need to change them to the same denominator *first*

Answer:

Robin, Raven, Turtle dove, Canada goose.

Step-by-step explanation:

We are given the size of the eggs.

Now, we need to put the sizes of eggs in ascending order.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

Step 1: Make the denominators same.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

Step 2: Order these egg sizes in ascending order.

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]

Step 3: Match the sizes of the eggs with the bird.

Robin, Raven, Turtle dove, Canada goose.

Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:

Robin, Raven, Turtle dove, Canada goose.

Hoped this helped.

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ [tex]30 = m(14) + b...(i)[/tex]

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒[tex]65 = 2m + b..(ii)[/tex]

From equation (i) and (ii)

[tex]m = \frac{-35}{12}[/tex]

and [tex]\frac{50}{3}[/tex]

Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]

Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

Learn more about linear function here:

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Answer:

the distance is 14 feet. hope this helps

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.

According to the question:

In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.

Read more:

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Answer:

17

Step-by-step explanation:

it's sufficient to set x=7

g(7)=2×7+3=14+3=17

Answer:

g(7)=2.7+3=17

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Answer:

Step-by-step explanation:

Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...

  (reward points) + (visit points)×(number of visits)

  30 +12.5v ≥ 125 . . . . . the inequality

__

  12.5v ≥ 95 . . . . . . . subtract 30

  v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality

Aaliyah will need to make 8 visits to earn her first free ticket.

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]