Brian sat in a massage chair at a shopping mall for 8 minutes and paid $9. Norah sat in
the same massage chair for 12 minutes and paid $11. If the relationship between the
number of minutes and the amount paid is linear, with x representing the minutes and y
representing the amount paid in dollars, which of these equations models the situation?
A. x = 0.5y + 5
B. x = y + 1
C. y = 0.5x + 5
D. y = x + 1

Answers

Answer 1

Answer:

(1/2)x + $5 (Answer A)

Step-by-step explanation:

Two points on the line representing the cost are (8, $9) and (12, $11).

The change in x is 4 (minutes); this is the 'run.'  The change in y is $2 (this is the 'rise').  Thus, the slope of this line is m = rise / run = $2/(4 min), or 1/2 dollar per min.

Applying the slope-intercept formula y = mx + b, we get:

$9 = (1/2)(8) + b, and from this we see that b must be $5.

Then the correct equation is y = (1/2)x + $5.


Related Questions

An auditorium has 28 seats
in the front row. Each row
behind the front has three
more seats than the row
directly in front of it.

How many seats are in the
eleventh row?

Answers

Answer:

11 x 3 = 33

28 x 11 = 308

308 + 33 = 341

[tex]\huge\boxed{Answer\341}

(341) is the answer

Which additional statements are required to prove△ABC ~=△MNO using SAS postulate, if C~= O?

Answers

Step-by-step explanation:

To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.

9. There were 60 questions on the math
test. Janet got 25% of them wrong. How
many did she miss?

Answers

Answer:

She missed 15 questions.

Step-by-step explanation:

25% of 60 = 15

(25/100) * 60 = 15

Therefore, she missed 15 questions.

Mark me brainliest and thenksss :))

She missed 15 questions.

Does anyone know c & d please

Answers

subtract the powers
c. 9-7 so 10^2
d. 8-1 so 5^7

Answer:

c = 100 or 10^2

d = 3125 or 5^5

Step-by-step explanation:

c. the answer for C is 10^2 because you just subtract the exponents same goes for d.

Homework please help

Answers

Answer:

c. infinitely many solutions

Step-by-step explanation:

hope this helps :)

160 m of fencing to enclose a quadrilateral shape pen (3 sided) for a children's play area. Determine the shape of the children's play area that gives the maximum area.

Answers

Answer:

A square of side length 40 m will give the maximum area of the play area

Step-by-step explanation:

Mathematically, it has been established that a square gives the maximum area of a quadrilateral

Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square

From what we have, we know that the perimeter of the fencing is 160 m

To get the side length, we divide the perimeter by 4

Side length of the shape would be 160/4 = 40 m

(2. Given that AABC is similar to ADEC, find the values of the unknowns in the figure.
7.3 cm
А Ar
B
489
8 cm
С
10 cm
60°
E
D
y cm

Answers

Answer:

x = 72 degrees

y = 9.125 cm

Step-by-step explanation:

the sum of degrees of all angles in a triangle is 180.

because the triangles are similar, all the angles must be the same in both. and the side lengths of one triangle must all have the same scaling factor compared to the other triangle.

the similarity tends is that the angle at E is the same as at B (48 degrees). so, then the angles at C are 60 degrees. that leaves for the angle at D (x) 180 - 60 - 48 = 72

BC (8) is scaled to CE (10) by the factor 10/8 = 5/4

so, y must have the same scaling factor in relation to AB (7.3)

y = 7.3 × 5/4 = 9.125

(7x18+45) divided by 3x2

Answers

Answer:

114

Step-by-step explanation:

hope this helps!

Answer:

114

Step-by-step explanation:

7x18= 126

126+45=171

171 divided by 3=57

57x2= 141

find the perimeter of the figure

Answers

Answer:

30 cm

Step-by-step explanation:

For perimeter you just need to add all the outer sides.

6+6.5+4+4+9.5

Evaluate that and you get 30.

That's your answer.

(Remember perimeter is the value AROUND the figure.)

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer: 12 km\h north

Step-by-step explanation:

I actually have good guesses

Velocity = 12 km/h

-

Velocity can be defined as the division between distance traveled and the time it took for that distance to be traveled:

Velocity = Distance / Time

With the above information in mind, we can calculate the velocity of the bicycle:

Velocity = 18 km / 1.5 h

Velocity = 12 km/h

Thus the velocity of the bicycle is 12 kilometers per hour.

What is the most specific name that can be given to a figure with the following coordinates?
(-10, 8), (-7, 13), (3, 7), and (0, 2)
A. rectangle
B. square
C. trapezoid
D. parallelogram.

Answers

Answer:

a. rectangle

Step-by-step explanation:

i just used desmos so i have no idea how to explain it

find the mean,median and mode for x,2x,3x,4x,5x​

Answers

Answer:

Mean: 3x

Median: 3x

Mode: None

Step-by-step explanation:

The mean is the sum of all the numbers divided by how many there are.

x + 2x + 3x + 4x + 5x = 15x and 15x/5 = 3x. So the mean is 3x.

The median is the number in the middle when the values are in order from least to greatest. The median is 3x.

The mode is the number that appears most often in the data set. In this case, the mode is none because no number appears more than the other numbers.

HELP PLEASE!!!
The circumference of a circular field is 276 yards. What is the diameter of the field?
Round your answer to the nearest hundredth.

Answers

The formula for a circumference is:
C = πd or C = π2r

So we already have the circumference which is 276 yd

276 = πd

We just need to find the diameter, so we divide d/1 on both sides:

d/276 = π

Now we divide 276/1 on both sides:

d = 276/π

Now we solve

d = 87.90

iready which expression is equivalent to the expression shown​

Answers

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).


9. The following illustration represents the height beam on the adult scale. Each small line represents 1/4 inch.
Each long line represents 1 inch. From the bottom to the break, readings are taken in an upward direction.
If a patient is taller than 50 inches, readings are taken in a downward direction and recorded directly at the
break in the scale.

Answers

Answer:

Helloooooooooo theree

Answer:

don't

Step-by-step explanation: it hard

8. The price of a hoodie on sale increased from $25 to $45. By what percentage was the price of the hoodie increased?​

Answers

Answer:

44.44%

Step-by-step explanation:

Please enter the missing number: 4, 8, 14, 22, ?

A. 26
B. 28
C. 32
D. 36
E. 40

Answers

Answer:

C) 32

Explanation:

it's adding by 4, 6, 8, and then 10; 22 + 10 = 32, so C will be the answer.

Hope this helps!

C:32
Because if you look at the numbers it’s going in a pattern from 4 to 8 it’s +4 the. 8 to 14 is +6, 14 to 22 is +8 so the next one would be 22 +10 which is 32

What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?

Answers

Answer:

[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of [tex]\theta[/tex]

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]

Given the data set 3,4,1,12,8,3,9,5,what is the median?

Answers

Answer:

4.5

Step-by-step explanation:

Put numbers in order, 1,3,3,4,5,8,9,12

Divide by 2 because there are 2 numbers

Because 4.5 is in the middle of 4 and 5 that is your median

The graph below represents the path of a golf ball

Answers

Answer:

take a better picture

Step-by-step explanation:

Nobody can see that ;-;

Answer:

It is one of the 4 answers the question gives.

Step-by-step explanation:

What does x = ? Please help meee

Answers

Answer:

x= 95 duhhhhhhh lol jk but its 95

Step-by-step explanation:

Answer:

x = 95° by the Vertical Angles are congruent theorem

Hope this helps!

Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?

Answers

Answer:

5%

Step-by-step explanation:

the answer to your question is 22

Samuel spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.7°F. Between 9am and noon, the temperature increased by 17.8°F. Between noon and 3pm, the temperature increased by 5.1°F. Between 3pm and 6pm, the temperature went down 14.5°F. What was the temperature at 6pm?​

Answers

Answer:

The temperature at 9 am = -14.7°F

Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F

Between 12pm and 3 pm = 3.1+5.1 = 8.2°

Between 3pm and 6 pm = 8.2-14.5 = -6.3°F

What is the area of a regular hexagon with sides that measure 10 feet and an
apothem that measures 8.66 feet?

Answers

Answer:

259.8 square feet

Step-by-step explanation:

What is the area of a regular hexagon with sides that measure 10 feet and an

apothem that measures 8.66 feet?

The formula to solve the above question is given as:

Area = (3√3 s²)/ 2 where

s is the length of a side of the regular hexagon

Area of this Hexagon is calculated as:

= (3√3 × 10²)/2

= 3√3 × 100/2

= 259.80762114 square feet

Approximately = 259.8 square feet

The area of the regular hexagon = 259.8 square feet

Question is in the photo below

Answers

Answer:

A

Step-by-step explanation:

mark me brainliest pls

Answer:

A. 24

Step-by-step explanation:

The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.

In other words, ∠1 is 104 minus 56, divided by 2.

[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]

which of the following is the solution set of the equation below:

Answers

Answer:

D

Step-by-step explanation:

i think you know this already but it's D!

What is the measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

​m∠P=​ °

Answers

The measurement of angle P in the diagram given in the question is 61.93 °

Trigonometric ratios

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:

How to determine the value of angle P

From the question given above, the following data were obtained:

Hypothenus = 17 cmOpposite = 15 cmAdjacent = 8 cmAngle P =?

Sine θ = Opposite / Hypothenus

Sine P = 15 / 17

Sine P = 0.8824

Take the inverse of sine

P = Sine⁻¹ 0.8824

P = 61.93 °

Thus, the value of angle P in the diagram is 61.93 °

Learn more about trigonometric ratios:

https://brainly.com/question/26719838

#SPJ1

people wear anklet in one leg or both leg? And which side left or right?

Answers

Most people that I see wearing anklets on one leg and it’s usually their right one but I know some people wear one on their left leg as well

HELPLSPLSPLPSLPSLPSL

Answers

Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2 and YT R = 5√q, where q is the number of thousands of units of output produced.

Answers

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

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