The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?

Answer:

Step-by-step explanation:

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

Step-by-step explanation:

the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.

that means it must have the same slope but a different y-intercept.

the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).

and we see that the points with integer coordinates seem to be e.g. (3, -2).

so, for the slope (y difference / x difference between 2 points) we use this point and the origin.

x changes by +3 (from 0 to 3).

y changes by -2 (from 0 to -2).

so, the slope is -2/3. and it is always the factor of x.

let's look at the answer options :

2x + 3y = 0

3y = -2x

y = (-2/3)x

this is the identical line, so it is wrong !

2x + 3y = 6

3y = -2x + 6

y = (-2/3)x + 2

the same slope and different y-intercept.

this is the correct solution !

2x - 3y = 9

-3y = -2x + 9

y = (2/3)x - 3

wrong slope. so it is wrong !

y = 3x + 2

wrong slope. so it is wrong !

Answer:

that is the correct answer.

Step-by-step explanation:

Answer:

Each friend gets $20.25

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Step-by-step explanation:

you mean "differentiable" ?

well, remember, a line equation is

y = ax + b

a is the slope

it is always, ALWAYS the factor of x.

now we differentiate the line equation per dx/dy

y' = a

and that is that.

the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.

Answer:

x = 11

x = -4

Step-by-step explanation:

Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry

Step-by-step explanation:

Answer:

a. Downwards

b1. x intercept = (-4,0) (8,0)

b2. Y intercept (0,8)

c. Vertex (2,9)

d. Axis of symmetry 2

Step-by-step explanation:

Answer:

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...

Step-by-step explanation:

Hope it helps

Answer:

104

Step-by-step explanation:

-8 * -13 = 104

104/-8=-13

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

Answer:

I don't think soo that it make a function

Answer:

2.51

2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.

To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:

1 mile = 1609.34 meters

1 hour = 60 × 60 = 3600 seconds

Given the skater's rate of 5.6 mph:

Speed in m/s

= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)

≈ 2.51 m/s

So, the skater is traveling at a rate of approximately 2.51 meters per second.

Learn more about speed here:

https://brainly.com/question/5082291

#SPJ3

Answer:

B) x=square root of 32

Step-by-step explanation:

Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer:

x = 13/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".

Answer: (1, 2)

             x = 1  and y = 2

Step-by-step explanation:

3x + y = 5  Multiply this equation by 2   =>    6x + 2y = 10

2x -2y = -2                                               =>  + 2x - 2y = -2

                                                                       8x         = 8

                    **divide both sides by 8 =>         x  =  1

                   *** substitute 1 for x in either equation to get y

                     3(1) + y = 5

                    -3             -3

                             y = 2

Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Step-by-step explanation:

It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is

[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect

The one below the first one is incorrect

It's correct since our equation is

[tex]-18+3\leq 6.5[/tex] which is correct

The top right one is correct because our equation is

[tex]18+3\leq 6.5[/tex] which is incorrect

The one below that is correct because our equation is

[tex]-18+3\geq 6.5[/tex] which is incorrect

Answer:

5

Step-by-step explanation:

move constant

x+7 ≥ 12

subtract

x≥ 12-7

solution

x ≥ 5

Answer:

A rectangle have 2 equal sides whilst the other 2 is also equal

So we can make length “l”

Whilst we can make width “w”

So the formula for a perimter is

2l+2w=p

In this case it’s 70

Now the length is 3 in longer then the width.

So l= 3+w

We can subsitute that in so we can solve the equation now

2(3+w) + 2w = 70

4w+6=70

Now solve

4w+6=70

4w= 64

w= 16

So width is 16

Lenght is 3 more then with so 16+3=19

Width is 16

Length is 19

Answer: 11.46

Step-by-step explanation:

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.

Answer:

20 by 36

divide and you get answer.

Answer:

1 r8

Step-by-step explanation:

20 ÷ 36 and then u get up answer

[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]

Answer:

Slope: 3/2

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -3x/2 - 3/8

=> Now, let's compare:

=> y = mx + b = y = -3x/2 - 3/8

We can tell that slope = m, which is 3/2.

Hoped this helped.

Let y = cos⁻¹(x), so that cos(y) = x.

For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.

For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.

Then

tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3

Answer:

5n-4

Step-by-step explanation:

The rule of the sequence is 5n-4.

If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1

If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6

If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11

If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13