Find the next 4 terms of this Fibonacci sequence -x, x+y, y

Answer: 75

solve:

For gym A

total cost= membership fee+monthly fee

membership fee=25

monthly fee=25

cost of x month=25x

total cost=25+25x

for gym B

membership fee=10

total cost=55+10x

now total cost are same

25+25x=55+10x

15x=30

x=30/15

x=2.

2 months

and amount =25+25*2=75

Answer:

2 months, they will have paid 75 dollars

Step-by-step explanation:

Gym A

25+ 25m  where m is the number of months

Gym B

55 + 10m

Set them equal

25+25m = 55+10m

Subtract 10m from each side

25+25m-10m = 55+10m-10m

25+15m = 55

Subtract 25 from each side

25+15m-25 = 55-25

15m = 30

Divide by 15

15m/15 = 30/15

m=2

After 2 months

25+25(2) = 25+50 = 75

The cost is 75 dollars

Answer:

4 + b² = 104

Hope this helps. :)

Answer:

b^{2}  + 4 = 104.

Step-by-step explanation:

The sum of 4 and the second power of b basically means 4 + b^2.

b^2 + 4 = 104

[tex]b^{2} + 4 = 104[/tex]

b^2 = 100

b = plus or minus 10.

Hope this helps!

Answer:

Step-by-step explanation:

Let the number of balloons be X

Xiao Duo = X

Xiao Hua = X

Xiaoduo used 16 balloons = x - 16

Xiaohua balloons x = 3 ( x - 16)

x = 3x - 48

Collect like terms

48 = 3x - x

48 = 2x

Divide both sides by 2

48/2= x

x = 24

Xiaohua has 24 balloons

Answer:

Answer:

option 4

Step-by-step explanation:

Simplify the equation,

9x² + 6x = 3x ( 3x + 2)

9x² + 3x = 3x*(3x + 1)

9x² + 9x + 2 =9x² + 3x + 6x + 2*1

                    = 3x(3x + 1) + 2(3x + 1)

                  = (3x+ 1)(3x +2 )

[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]

Both sides (3x+1)(3x+2) will get cancelled

[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]

Cross multiply,

5(3x) =10(3x+1)-(3x+2)

When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]

                                 = -10

When x= -2/3, RHS = 10(3x+1)-(3x+2)

                                = [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]

                                = 10(-2+1) - (-2+2)

                                = 10 * (-1) -0

                               = -10

LHS = RHS

So, -2/3 is a solution

Answer:

Option 2

Step-by-step explanation:

A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm

While a unit cube has a volume of 1 cubic cm

So,

2 cubes of these dimensions can fit into a unit cube.

Answer:

2

Step-by-step explanation:

volume of the unit cube:

V = 1 * 1 * 1 = 1

volume of the half-cube:

V = 1/2 * 1 * 1 = 1/2

number of half cubs that fit in unit cube:

1/(1/2) = 2

Answer: 2

Answer: 6

Step-by-step explanation:

38+x= 13+5+8+x

38+x=26+x

38-26=2x

12=2x

x=6

Answer:

(0, 5), (0, 1), and (3, 1).

Step-by-step explanation:

If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.

Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).

Hope this helps!

Answer:

Step-by-step explanation:

[tex]2a(b + a) - 2b(b - a)[/tex]

Expand by distributing terms:

[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]

Remove parentheses:

[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]

Collect like terms:

[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]

Simplify:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

hello,

As A and B are two independent events we can say that P(A∩B)=P(A)P(B)

P(A)=P(A∩B)/P(B)=16/13

thanks

Hey there! I'm happy to help!

There is a rule in trigonometry that says that the sine of one angle is equal to the cosine of that angle's complement.

Complementary angles are ones that equal 90 degrees when added.

We see that L and M are complementary angles, so we can apply this rule.

The sine of L is 19/20. We know that the sine of angle L is equal to the cosine of L's complement from our rule, which is M. This means that the cosine of M is equal to 19/20.

Have a wonderful day!

The answer is C. Amerigo Vespucci

Explanation:

Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.

Answer:

c c a d c

Step-by-step explanation:

answers to the quiz edge got 100% source trust bro

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to  7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours  = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x  - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x  - 2y gives 10y - 2y + 3x + x  10  to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y  gives  3x+ 4x - y  - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29

Answer:

31.5

Step-by-step explanation:

To find the area of this shape we must divide it into 2 parts :

Answer:

1 : 6/25

Step-by-step explanation:

Convert 2.5 meters to cm

We know 100 cm = 1m

2.5 m * 100cm / 1m = 250 cm

250 cm : 60 cm

Divide by 250

250/250 = 60/250

1 : 6/25

or as a decimal

1 :  .24

Answer:

Step-by-step explanation:

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

19.8 + 2t = 50.2

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

Hope this helped,

Kavitha

Answer:

t = 15.2 miles

Step-by-step explanation:

First, let's add the top and bottom numbers together.

7.8 + 12 = 19.8 mi

Next, we subtract that from 50.2 to get the combined value of both t's.

50.2 - 19.8 = 30.4 mi

Finally, we can divide 30.4 by 2 to get the value of t.

30.4 ÷ 2 = 15.2 mi

To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4

30.4 + 12 + 7.8 = 50.2

Answer:

52

Step-by-step explanation:

Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:

360 - (128+126+54)

360 - 308

52

Answer:

52°

Step-by-step explanation:

The trapezoid is a closed figure, meaning all the angles must equal 360°.

1. Set up the equation

128° + 126° + 54° + ∠D = 360°

2. Solve for ∠D

360 - 128- 126- 54 = 52

∠D = 52°

You can also solve this by knowing that in a trapezoid:

∠A + ∠D = 180° and ∠B + ∠C = 180°

1. Set up the equation

128 + ∠D = 180°

2. Solve

180 - 128 = 52

∠D = 52°

Answer:

5.

Step-by-step explanation:

If the first 4 picked are of different colours then the fifth  sock must be a match. for one of the four.

Answer:

-5cd

Step-by-step explanation:

-3cd-2cd+4d-4d

-3cd-2cd=-5cd

4d-4d=0

=-5cd

Answer:

Solution,

[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 4

Step-by-step explanation:

We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.

Answer:

4

Step-by-step explanation:

Answer:

59/130

Step-by-step explanation:

Answer:

p(x) = (x + 1)²(5x - 1)²

Step-by-step explanation:

Since we are given the 2 zeroes, we put them into binomial form:

(x + 1)(5x - 1)

We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:

(x + 1)²(5x - 1)²

When we multiply it out, we should get a polynomial with a degree of 4.

Answer:

D

Step-by-step explanation:

The number of months in two years is 24 months.

Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600

Now, $8,000 was borrowed but $9,600 was returned

The amount of interest is 9600-8000 = 1600

So what percentage of 8,000 is 1600?

1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%

Answer:

44%

Step-by-step explanation:

1% of 54 is 0.54

78/0.54=144.444444

-100% b/c that's the base

44% better

i think y= b^x because it is only the odd one from the group

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  [tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

  [tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

 Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]

 m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

Answer:

B. 4%

Step-by-step explanation:

Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.

Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings

her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%

Answer: 4%

Step-by-step explanation:

Answer: n = 20

Step-by-step explanation:

Given that the problem goes thus:

When a number, n is added to 1/5 n of itself, the outcome obtained is 24.

Mathematically,

n + 1/5 of n = 24

n + (1/5n) = 24

1n + 1/5n = 24

(5n + 1n) / 5 = 24

6n / 5 = 24

6n = 24 × 5

6n = 120

n = 120 / 6

n = 20

Answer:

B on edg, n=20

Step-by-step explanation:

Answer:

46.87

Step-by-step explanation:

V=*(A^3/2

)/36

V=*(46.87^3/2

)/36