On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.

Answer:

10 blocks

Step-by-step explanation:

The distance of Becky from the school is 10 blocks.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

We have been given that Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west.

According to the given situation, we can plot the diagram which has been attached below.

As per the figure, we have a right triangle that has :

AB = 8 blocks, and BC = 6 blocks

The distance of Becky from the school is equal to the length of AC.

By Pythagoras's theorem,

AC² = AB² + BC²

AC² = 8² + 6²

AC² = 64 + 36

AC² = 100

AC = 10 blocks

Therefore, the distance of Becky from the school is 10 blocks.

Learn more about Pythagoras's theorem here:

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Answer:

10,800

Step-by-step explanation:

9*2= 18

18*600=10,800

10,800 is the stadium's maximum ingress throughput.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Woodley Stadium has nine gates with two ticket booths at each gate.

So, the total number of booth's at Woodley stadium = 9*2

the total number of booth's at Woodley stadium = 18

Since each ticket booth can process 600 fans per hour

Thus,

the stadium's maximum ingress throughput = 18 *600

the stadium's maximum ingress throughput =  10,800

Therefore, 10,800 is the stadium's maximum ingress throughput.

Learn more about Mathematical operations here:

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Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

[tex]6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20[/tex]

Answer:

The correct answer is c. 20

The answer is x=2

move all terms that dont contain x to the right side and then solve.

Answer:

x=2

Step-by-step explanation:

Sorry the picture is sideways, I was trying to fit everything in lol.

Répondre:

Explication étape par étape:

Vitesse = Distance / Temps

Distance donnée = 200 km

Durée = 2 h 30

Convertir le temps en heures

Depuis 60 minutes = 1h

2 heures 30 minutes = 2+ (30/60)

2h30 = 2 + 1/2 hors

2 heures 30 minutes = 2,5 heures

Vitesse en km / h = 200 km / 2,5 h

Vitesse en km / h = 80 km / h

D'où sa vitesse moyenne en km / h est de 80 km / h

a) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 3h15

Temps = 3 15/60 h

Durée = 3,25 h

Distance = 80 * 3,25

Distance parcourue en 3h15 = 260 km

b) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 42 minutes

Durée = 42/60 h

Distance = 80 * 42/60

Distance = 3360/60

Distance = 56 km

Distance parcourue en 42 minutes = 56 km

c) Distance = Vitesse * Temps

Vitesse donnée = 80 km / h

Durée = 3 h 36 minutes

Temps = 3 36/60 h

Durée = 3,6 h

Distance = 80 * 3,6

Distance = 288 km

Distance parcourue en 3 h 36 min = 288 km

d) Distance donnée = 540 km

Vitesse = 80 km / h

Temps = Distance / Vitesse

Heure = 540/80

Temps = 6,75 heures

Par conséquent, le temps nécessaire pour parcourir 540 km est de 6,75 heures

Greetings from Brasil....

Let's solve this 2nd degree equation.

6b² + 8b - 10 = 0       dividing all terms by 2

3b² + 4b - 5 = 0         applying the baskara formula

Δ = 4² - 4 · 3 · (- 5)

Δ = 76

b = (- 4 ± √76)/6      so

Answer:

8m + 5/m -10 m^2

Step-by-step explanation:

24m^4 / 3m^3 = 8m

15m^2 / 3m^3 = 5/m

- 30m^5 / 3m^3 = -10m^2

Putting these back together

8m + 5/m -10 m^2

Answer:

work is attached and shown

Answer: -3.5 or -3 1/2

Step-by-step explanation: Put in the numbers -3 and 5 for the variables and simplify, (-2)-3 -2(5) -1/6(-3), to get 6 - 10 + 1/2(or 0.5), then add and subtract, 6-10= -4 + 0.5 = -3.5 or -3 1/2.

Hope this helped!

Pls Mark Brainliest!

5.131313.. is a repeating decimal.

Repeating decimals are rational because they have a set pattern and they can be put into a fraction.

Explanation:

Repeating decimals can be written as a fraction, proving that it is rational.

Irrational numbers can’t be put into a fraction. For example, pi or the square root of 2.

Step-by-step explanation:

-4.5x -2y = -12.5 -------(1)

3.25x -y = -0.75 --------(2)

From (2) we can make y the subject of the relation

y = 0.75+3.25x -------(3)

Input 0.75+3.25x into y in (1)

-4.5x -2(0.75+3.25x) = -12.5

-4.5x -1.5- 6.5x = -12.5

-4.5x -6.5x -1.5 = -12.5

-11x = -12.5 +1.5

-11x = -11

x = 11/11

x = 1

If x = 1,substitute 1 into x in (3)

y = 0.75+3.25x

y = 0.75 +3.25(1)

y = 0.75 +3.25

y = 4

x = 1,y = 4

Answer:

16

Step-by-step explanation:

4 x 4 = 16

4 to the second power is 4^2.

4x4=16

hope it helps!

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

2x-4=-12; therefore, x = -4

Answer:

[tex] \fbox{ \huge{ \sf{ a = - 8}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: 19 = - 3a - 5}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \longmapsto{ \sf{ - 3a - 5 = 19}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 5 to right hand side and change it's sign

[tex] \longmapsto{ \sf{ - 3a = 19 + 5}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] : Add the numbers : 19 and 5

[tex] \longmapsto{ \sf{ - 3a = 24}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] : Divide both sides by -3

[tex] \longmapsto{ \sf{ \frac{ - 3a}{ - 3} = \frac{24}{ - 3}}} [/tex]

[tex] \tt{Step \: 4}[/tex] : Calculate

[tex] \longmapsto{ \sf{a = - 8}}[/tex]

[tex] \sf ∴ \: the \: value \: of \: a \: is \: - 8.[/tex]

[tex] \sf{Hope \: I \: helped !} [/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

x=22

Step-by-step explanation:

X²=484

x=√484

x=22

Answer:

Step-by-step explanation:

x^2 = 484

√x²  - √484

x = 22

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

K is the midpoint of J and L, so

JK = KL.

[tex]5x-3=3x+1[/tex]

Add 3 to both sides:

[tex]5x-3+3=3x+1+3[/tex]

[tex]5x=3x+4[/tex]

Subtract 3x from both sides:

[tex]5x-3x=3x+4-3x[/tex]

[tex]2x=4[/tex]

Divide 2 on both sides:

[tex]\frac{2x}{2}=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Answer:

1000 calories because if 18 cracker are 200 calories and you divied 90 by 18 you get 5 and 5 x 200=1000 calories

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

[tex]4g(x) - f(x)[/tex]

[tex]4(2x - 1) - ( - 3x)[/tex]

Opening the parentheses,

[tex]8x - 4 + 3x[/tex]

Now combing the like terms, and adding them,

[tex]8x + 3x - 4[/tex]

[tex] \boxed{11x - 4}[/tex]

This is our final result.

#CarryOnLearning

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Answer:

[tex]\huge\boxed{(f-g)(2)=17}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x^2+8;\ g(x)=x-3\\\\(f-g)(2)=f(2)-g(2)\\\\f(2)\ [g(2)]-\text{substitute}\ x=2\ \text{to}\ f(x)\ [g(x)]\\\\f(2)=2(2^2)+8=2(4)+8=8+8=16\\g(2)=2-3=-1\\\\(f-g)(2)=16-(-1)=16+1=17[/tex]

Answer:

2/3

Step-by-step explanation:

0.6 repeating as a fraction is 2/3

Answer:

The answer is 2/3 or

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]

Answer:

b = x/2 - v

Step-by-step explanation:

2(b+v) = x

b + v = x/2

b = x/2 - v

Answer:

9 units

Step-by-step explanation:

Calculate the absolute value of the difference, that is

| - 2 - 7 | = | - 9 | = 9 , or

| 7 - (- 2) | = | 9 | = 9

Answer:

18.21

Step-by-step explanation:

Step 1:

46.91 - 28.7

Answer:

18.21

Hope This Helps :)

Answer:

Step-by-step explanation:

13h+1m=258

30m=h

Answer:

See below.

Step-by-step explanation:

******************************************************************************

Kate buys 10 tickets to  a show. She also pays a $5 parking fee. She spent $35 to see the  show.

Each ticket costs x.

10 tickets cost 10x.

Parking is $5.

Total is $35

10x + 5 = 35

******************************************************************************

Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and has  10 pens left for himself.

The number of pens he gives each friend is x.

The total number he gives is 5x.

He started with 35 pens ands ended up with 10 pens.

35 - 5x = 10

5x + 10 = 35

******************************************************************************

Yin spends 10 hours on homework this week. She spends 5 hours on science homework  and then answers 35 math problems.

Total time spent on homework is 10 hours.

Science homework is 5 hours.

She spends x time on each of the 35 problems, so the total time spent of the 35 problems is 35x.

35x + 5 = 10

the answer is  -36+54

I used a exponet calculator

Answer:

3.6

Step-by-step explanation:

Step 1: Find out what 48 ÷ 5 is

9.6

Step 2: Subtract 6 from 9.6

3.6

Answer:

Step-by-step explanation:

(-6)² = -6*-6

(-6)² = 36

-(6)² = -(6*6)

-(6)² = -36

The sign is affected by potency