You have $60 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=60 + (25+ 8)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?

Answer:

23 days

Step-by-step explanation:

We are told that the stadium holds 7500 individuals.

Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats

We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days

Thus, it will take 23 days to complete all the 7500 seats.

Answer:

  4n +28

Step-by-step explanation:

Tommy's purchases add up to ...

  4n +10 + 18 = 4n +28

Answer:

it is 12.2

Step-by-step explanation:

Since we know sin^2 θ = (sin θ)^2

In our problem,

sinθ = 2/sqrt(3)

Let's plug this value into our expression above.

(2/sqrt(3))^2

Let's square both terms individually.

2^2 = 4

(sqrt(3))^2 = 3

The final answer = 4/3

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

Answer:

  an = 6 +8(n -1)

Step-by-step explanation:

Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference.

Here, the differences are ...

  14 -6 = 8

  22 -14 = 8

  30 -22 = 8

These are all the same, hence a "common" difference. The first term is 6, so the general term is ...

  an = 6 +8(n -1)

One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.

So we have

1 rev = 26π cm

1 rev = 2π rad

1 min = 60 s

(a) The angular velocity of the wheel is

(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s

or approximately 3.665 rad/s.

(b) The linear velocity is

(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s

or roughly 47.648 cm/s.

The angular velocity of the wheel is 3.665 radians/sec.

The linear velocity is the hamster running is 47.648 cm/sec.

A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.

Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.

The angular velocity of the wheel is given by;

[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]

The angular velocity of the wheel is 3.665 radians/sec.

Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.

The linear velocity is the hamster running is given by;

[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]

The linear velocity is the hamster running is 47.648 cm/sec.

To know more about Angular velocity click the link given below.

https://brainly.com/question/88155

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

Answer:

All real numbers except 6

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0           [factor]

x(x+1)(x+5)=0            [set each factor equal to 0]

x=0

x+1=0                       [subtract both sides by 1]

x=-1

x+5=0                      [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.

Answer:

1020

Step-by-step explanation:

C.D.And E..

I'm sure..

Kate will need 3/8 cup of sugar.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Cups of sugar needed for a recipe= 3/4

Now Kate only wants to make half of the recipe

Cups of sugar needed for a half of the recipe = Cups of sugar needed for a recipe / 2

⇒ Cups of sugar needed for a half of the recipe = 3/4 ÷ 2

⇒ Cups of sugar needed for a half of the recipe = 3/8

Thus, Kate will need 3/8 cup of sugar.

To learn more about fractions:

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Answer:

1000 grams

Step-by-step explanation:

The symbol "kg" represents 1,000 grams in the metric system.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Here are some instances of measurements made with the metric system:

The unit used to measure lengths and distances is the meter. In daily life, we use this unit to measure things like the length of a piece of clothing, the distance from school to home, etc.

You may have noticed that the bag of your favorite food has a weight listed on it. 250 grams of potato chips, The unit of weight used here is the gram.

We know 1 kilogram is equal to 1×1000 grams.

Therefore, The symbol "kg" represents  1,000 grams in the metric system.

Similarly to convert gram to kg we have to divide by 100.

learn more about the metric system here :

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Answer:

D and C

Step-by-step explanation:

Answer:

A reflection across the Y-axis

Step-by-step explanation:

The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

The figure PQRS is reflected on the y-axis and translated left to 1 unit.

Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.

To learn more about the transformation visit:

https://brainly.com/question/11709244.

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Answer:

It is Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

B(4, -5)

Step-by-step explanation:

A(-8, 7)

M(-2, 1)

B(x, y)

x-coordinate:

(-8 + x)/2 = -2

-8 + x = -4

x = 4

y-coordinate:

(7 + y)/2 = 1

7 + y = 2

y = -5

B(4, -5)

Answer:

27kg

Step-by-step explanation:

each kilogram of apples are $10 so you do 270 divided by 27 is 10

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

Answer:

Substitution Property

Step-by-step explanation:

So we know that:

[tex]m\angle A=m\angle B[/tex]

And we also know that:

[tex]m\angle A+m\angle C=\angle D[/tex]

And by using a specific property, we get that:

[tex]m\angle B+m\angle C=\angle D[/tex]

Essentially, we substituted B for A.

So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.

His function is linear because it graphs out a straight line. If you were to pick any two points on that line, and find the slope, you should find that the slope is the same no matter which two points you picked.

Answer:

linear

Step-by-step explanation:

there's a constant rate of change/constant slope and the function is a straight line

Answer:

Could you please finish the question?? I don't get you.

I think you understand why there is no answer. My apologies!!

✨Thanks!!!✨

Answer:

this also I do not know plz tell answer is will also practice

Answer:

Jada drank 3/4 times as much water as Elena.

Answer:

[tex]2yz^2\sqrt[3]{z^2x^2}[/tex]

Step-by-step explanation:

3

hope that´s correct