b. Which is an equation for the line? *

Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:

''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''

So, I am solving based on this complete question.

Answer:

Please check the explanation.

Step-by-step explanation:

a. Write an equation that represents the situation.

As the cost and the number of guests are proportional.

So the equation of the form

[tex]y = mx[/tex]

Plug in the values y = 30 and x = 4 to find m

[tex]y = mx[/tex]

30 = m (4)

m = 30/4

    = 7.5

Now, substituting m = 7.5 in the equation y=mx

[tex]y = mx[/tex]

[tex]y = 7.5x[/tex]

b) Interpreting Slope

Given that the units for y are dollars, and the units for x are guests.

Thus, the slope 7.5 means it costs $7.5 per guest.

c) How much does it cost to provide food for 10 guests?''

We know the equation

[tex]y = 7.5x[/tex]

put x = 10

y = 7.5(10)

y = $75

Thus, it costs 75 dollars for 10 guests.

Answer: The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. ... Then we need to remember to multiply first, before doing the addition!

Step-by-step explanation: According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer: 31

First, we can break down the number 62.

We will break the number 62 down into 60 + 2.

Now, we will divide the numbers we get after we break down 60.

60 ÷ 2 = 30

2 ÷ 2 = 1

30 + 1 = 31

The answer to your question is 31.

Answer:

108 apples.

Step-by-step explanation:

Cuz 3+6=9 and 9•12=108

3 bags of red apples

6 bags of green apples

12 apples per bag

3 x 12 = 36 red apples

6 x 12 = 72 apples

36 + 72 = 108 apples in all.

Answer:

-4x+4

Step-by-step explanation:

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

This time is determined by the projectile's starting velocity as well as the angle of projection. When the projectile reaches a vertical velocity equal zero magnitudes, it has reached its maximum height. Furthermore, gravity would take over and accelerate the thing downward.

Given that,

y = -2sin[tex](\frac{2\pi (t+1)}{7})[/tex] + 5

For maximum height,

sin(2π(t + 1))/7) = -1

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = 3π/2

t + 1 = 21/4

t = 4.25 seconds

Hence,

we can conclude that at t = 4.25 seconds,

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

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I understand that the question you are looking for is:

A weight is attached to the end of a spring. Its height after t seconds is given by the equation. -2sin(2pi(t+1)/7)+5 When does the weight first reach its maximum height? Answer in t seconds.

Answer: Yes.

Step-by-step explanation: 4:8 simplifies to 1:2, since he used half as many rainbow charms as he did white stars. 5:10 also simplifies to 1:2. If they both have half as many rainbow charms as white, then both of his sister’s bracelets keep the same ratio.

Answer:

Step-by-step explanation:

From triangle BCD:

m∠BCD + m∠CDB + m∠DBC = 180°

67° + 60° + m∠DBC = 180°

m∠DBC = 180° - 127°

An angle ABD is straight angle, so:

m∠ABC + m∠DBC = 180°

m∠ABC +  180° - 127° = 180°

m∠ABC = 127°

Explanation:

Both points have the same x coordinate x = 0, so this is the equation of the vertical line. It cannot be written in y = mx+b form because the slope m is undefined.

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

Answer: The girls median is 50, and their mean is 46

The boys median is 33, while their mean is 34.

The mean is the average, and the median is the middle when they are sorted by least to greatest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4x^5y^7 − 28x^7y

Step-by-step explanation:

yes

Answer:

20% 0f $65.00 is $13

$13 - $5= $8

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 65.00.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$65.00=100\%$.

Step 4: Similarly, $x=20\%$.

Step 5: This results in a pair of simple equations:

$65.00=100\%(1)$.

$x=20\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{65.00}{x}=\frac{100\%}{20\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{65.00}=\frac{20}{100}$

$\Rightarrow x=13$

Therefore, $20\%$ of $65.00$ is $13$

9514 1404 393

Answer:

  all real numbers except 5

Step-by-step explanation:

f(x) is undefined when x=5, so x=5 is excluded from the domain.

The domain is "all real numbers except 5".

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

(zw)² – 2 (z/w)^(-1 )= z²w² – 2 w/z

w²z³ – 2w

= —————

z

w (z³w – 2)

= ——————

z

Follow my account^^

Answer:

[tex]x \geq -42[/tex]

Step-by-step explanation:

      [tex]3 - \frac{x}{2} \leq 18[/tex]

  subtract 3

      [tex]- \frac{x}{2} \leq 15[/tex]

  multiply by two

      [tex]-x \leq 30[/tex]

  devide by -1 and flip the sign

       [tex]x \geq -30[/tex]

Answer:

10/11

Step-by-step explanation:

(8/11)/(4/5)

= (8/11) x (5/4)

= 40/44

= 10/11

Answer: 10/11

Step-by-step explanation: multiply by the reciprocal of the divisor (8/11*5/4). you can reduce the fraction, so we can make it 2/11*5/1. just multiply, and you have your answer.

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

[tex]x+8y=190\quad ...(i)[/tex]

[tex]x+5y=130\quad ...(ii)[/tex]

Aplicando [tex](i)-(ii)[/tex]

[tex]8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20[/tex]

Sustituyendo en [tex](ii)[/tex]

[tex]x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30[/tex]

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

i believe the answer would be C! sorry if im wrong! ;-; <333

Answer:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

The given expression is:

[tex]7\frac{1}{2}[/tex] divided by 2.

The given expression a mixed fraction.

Let the result of the expression be equal to [tex]x[/tex].

Therefore, the expression can be written as:

[tex]7\frac{1}{2} \div 2 = x[/tex] ...... (1)

Multiplying equation (1) by 2:

[tex]7\frac{1}{2} = 2 \times x[/tex]

OR

[tex]7\frac{1}{2} = x \times 2[/tex]

Alternatively, this expression can be written as:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Therefore, the following multiplication equations corresponding to equation (1) are:

2 * ? = [tex]7\frac{1}{2}[/tex]

OR

? * 2 = [tex]7\frac{1}{2}[/tex]

Answer:

u should have another number in here

Step-by-step explanation:

Answer:

it took the airplane 12 seconds to reach the ground

Step-by-step explanation:

Answer:

slope: 3

y-intercept: 3

Step-by-step explanation:

y=3x+3

Hope this helps :) Have a good day!!!!

Answer:

135.58 i'm pretty sure.

Step-by-step explanation:

First, I calculated the amount of money he got on Monday. I multiplied. 8.50 x 7 which equals 59.50. Then, I calculated the amount of money he got on Tuesday. I multiplied 8.50 (since that is the number of money he gets paid) to 3.2 (since that's the amount of hours he works). I got 27.200. Then lastly, I calculated the amount of money he got on Friday. So I first I changed 5 3/4 into a decimal. This is 5.75. After, I multiplied 8.50 x 5.75, And got 48.8750. Lastly, I added. I added and got 135.575. So if you round it, it will be 135.58.

Answer: the first one.

Step-by-step explanation:

Answer:

4. Is 6 eggs

5. Is 7 eggs

Step-by-step explanation:

Both the race cars will hit the ground at the same time.

The concept used here is free fall formula which can be defined as . Free fall means that an object is falling freely without a forces acting upon it except gravity, a described constant, g = -9.8 m/s2. The distance the object falls, or height, h, is 1\/2 gravity x the square of the time falling. Velocity is described as gravity x time.

Here the two cars are free falling in the vertical direction and the initial velocity in the vertical direction is zero. So the landing time of both the cars is only related to the height and the acceleration of gravity.

Hence, the cars are falling from the same height, h and g are the same so they take same time to touch the ground.

To know more about free fall formula visit:

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Answer:

6,726

Step-by-step explanation:

Go backwards.

5,237 + 1,489 = 6,726

Just add and you'll get the answer. Brainliest Please!!

- Hermionia