Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
x represents the number of minutes over one hour, which of the following functions represents the cost of a massage?

Answers

Answer 1

Answer:

D. y = 0.8x + 79

Choices:

A.  

y = 79x + 0.8

B.  

y = -0.8x + 79

C.  

y = 79.8x

D.  

y = 0.8x + 79

Answer 2

The following functions represent the cost of a massage as: Cost = 59 + 0.95x

What is the Linear function?

A linear function is defined as an equation in which the highest exponent of the variable is always one.

A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.

The cost of a massage can be represented by the function:

Cost = 59 + 0.95x

This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).

For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:

Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50

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Related Questions

(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)

Rectangle ABCD is reflected about the x-axis.

What are the coordinates of vertex D’?

A. (-6, -8)
B. (6, -8)
C. (6, 8)
D. (-6, 8)

Answers

Answer:

Option D, (-6, 8)

Step-by-step explanation:

Since it is reflected across the x-axis, that means the y values flip their signs.

Since D was (-6, -8) flip the y value you get (-6, 8)

Answer:  Option D, (-6, 8)

Answer:

D. (-6, 8)

Step-by-step explanation:

correct on EDGE

What is the answer to this 20 / (20p ^ 2)

Answers

Answer: 20p

Step-by-step explanation:

20/(20p^2)          evaluated the power of 2

20/400p              divided 400/20

20p                      answer

Hope i could help i added step by step please give me brainliest

Multiply.
(5x - 2)2


A. 25x + 20x + 4
B. 25x2 - 4
C. 25x2 - 20x+ 4
D. 25x2 - 10x + 4​

Answers

Answer:

Step-by-step explanation:

Factor using the perfect square rule.(5x−2)2

answer  using factor

Answer: 25x2+40x+16

Step-by-step explanation:

How many fluid ounces are in​ 12 1/4 ​cups?
A. 6 1/8 ​fl oz
B. 24 1/2 ​fl oz
C.49 fl oz
D. 98 fl oz

Answers

The answer is the last option, letter D 98 fl oz

The number of fluid ounces equivalent to 12 1/4 cups is; 98 fl Oz.

What is the number of fluid ounces in 12 1/4 cups?

It follows from the task content that it is required to determine the number of fluid ounces in 12 1/4 cups.

Since, 1 Cup contains 8 fluid ounces; it therefore follows that 12 1/4 cups will contain;

= 12 1/4 × 8

= 98 fl Oz.

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One number is 20 greater than another. If the lesser is subtracted from three times the greater number, the difference is 84. Find the number.​

Answers

Answer:

X=32 and Y=12

The two numbers are 32 and 12

Step-by-step explanation:

Let the number be represented by X and Y

X = 20 + Y-------- equation 1

3X - Y = 84------- equation 2

solving the equation by substitution;

we substitute equation 1 into equation 2, we have;

3(20+Y)-Y = 84

expanding the bracket;

60 + 3Y - Y = 84

60 + 2Y = 84

2Y = 84 - 60

2Y = 24

divide both sides by 2;

2Y/2 = 24/2

Y = 12

from equation 1, we can find X by using the value of Y;

X = 20 + Y

X = 20 + 12

X = 32

PROOF:

using equation 2;

[3*32]-12=84

96-12=84

84=84

x-2y divided by -z what’s the answer

Answers

Answer:

[tex]x (z) +2y/z[/tex]

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You put $600 in an account at 5%. What is that balance at the end of two years?

Answers

Answer:

$660

Step-by-step explanation:

1: Change 5% to a decimal. (0.05)

2: Multiply 600 X 0.05 X 2(years)

3: Add 60 and 600

4: $660

Answer:

$661.5

Step-by-step explanation:

The formula for this question is FV = PV (1 + r)^n so you set it up as 600(1+.05)^2 and you get $661.50 because you  are paying for interest over two years which is n, FV is the future value which is 661.50, PV is previous value which is 600, and r is he interest rate which is .05.

Solve the following equation.
c/4 = 12​

Answers

Answer:

48

Step-by-step explanation:

c÷4=12

4×c÷4=4×12

c=48

hurry i need help plzzzz

Answers

Answer:

D. y = -x

Step-by-step explanation:

Hope this helps.

Brainliest...??

Explain why (cos((theta))? + (sin((theta))2 = 1

Answers

Imagine a right triangle where a and b are the legs and c is the hypothenuse.

Pitagora: a²+b²=c²

Divide by c

(a/c)²+(b/c)²=1

But a/c=sin(B) and b/c=cos(B)

Thus sin² + cos² = 1

The equation shown is used to find the volume of a cylinder, V , were r is the radius and h is the height. v/r^2 = pi h
which equation correctly shows the radius?
r=√v / πh
r= √v/πh
r=√πh / v
r=√πh/v

Answers

[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex] is the equation correctly shows the radius.

Option B

Step-by-step explanation:

The cylinder’ volume (density) indicates how much amount of materials it can able to carry or how much amount of material it can immerse in it. The formula for volume of cylinder is given as:

                      [tex]V = \pi r^{2}h[/tex]

where

V = volume of cylinder

r = radius of cylinder

h = height of cylinder

In order to find radius following simplifications are done:

⇒[tex]V = \pi r^{2}h[/tex]

Keep the factor 'r' in one side and keep other in one side as below,

⇒ [tex]\frac{V}{\pi h } = r^{2}[/tex]

Taking square root on both sides,

⇒[tex]\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h }[/tex]

⇒[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex]

Therefore, option b is correct as [tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex].

Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.


4 ⋅ 5


4 + 5


4^5


5^4

Answers

Answer:

4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result

Step-by-step explanation:

I am just trying to help. I hope it works!

Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Noah starts with 0 and then adds the number 5 four times.

i.e. we get,

Noah: 5+5+5+5=20

again, we have,

Diego starts with 1 and then multiplies by the number 5 four times.

i.e. we get,

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

so, we have,

that,  For each expression, we get 20

we know,

20 = 4*5

i.e. 4 multiplied by 5.

Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

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Savings Account You deposit $1800 into a savings account that
earns 2% interest compounded annually. Find the balance after
2 years.

Answers

The balance after 2 years will be $1872.72.

To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:

[tex]\[ A = P(1 + r)^n \][/tex]

Where:

- A is the amount of money accumulated after n years, including interest.

- P is the principal amount (the initial amount of money).

- r  is the annual interest rate (expressed as a decimal).

- n is the number of years the money is deposited for.

Given:

[tex]- \( P = $1800 \)[/tex]

[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)

[tex]- \( n = 2 \)[/tex] years

Plug these values into the formula and solve for A :

[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]

[tex]\[ A = 1800(1.02)^2 \][/tex]

[tex]\[ A = 1800(1.0404) \][/tex]

[tex]\[ A = 1872.72 \][/tex]

Solve the formula I=Prt to find the time, t, when P=$1,200, I=$81, and r=2.7%

Answers

Answer:

t = 2 years and 6 months

Step-by-step explanation:

I = Prt

in order to solve this :

make t the subject of formula

t = I/Pr

now input the values given

[tex]t = \frac{81}{1200 * \frac{2.7}{100} }[/tex]

t = 2.5

this means 2.5 years , we can make this value exact :

2.5-2 = 0.5

0.5 * 12 months = 6 months

hence t = 2 years 6 months

John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?

Answers

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.

To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:

First, convert the percentage to a decimal. 80% becomes 0.80.Next, multiply the total number of questions (30) by the decimal (0.80):

0.80 * 30 = 24

Therefore, John answered 24 questions correctly out of the 30 questions on the test.

What is -2(w-5)+4w+3 simplified

Answers

Answer:

2w + 13

Step-by-step explanation:

Step 1:  Distribute

-2(w - 5) + 4w + 3

-2w + 10 + 4w + 3

Step 2:  Combine like terms

-2w + 10 + 4w + 3

2w + 13

Answer:  2w + 13

Subtract x2 – 2x – 6 from -6x + 5.

Answers

-6x + 5 - (x² – 2x – 6) = -6x+5-x²+2x+6 = -x²-4x+11

x2-4x-1
....................

Write in simplest terms3.2x-5+4t(-7)

Answers

Answer:

-7(6 x t) *2

Step-by-step explanation:

X² – 4x – 12=0
solve by completing the square

Answers

Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

Answer:

-2,6

Step-by-step explanation:

Six times a certain number is 12 more than four times the number. Find the number.​

Answers

Answer:

6

Step-by-step explanation:

Let the number be A

Given 6 times A is 12+ (4 xA)

That’s

6 x A = 12 + 4A

6A = 12 + 4A

Subtract 4A from both sides

6A - 4A = 12 - 4A - 4A

2A = 12

Divide both sides by 2

A = 12/2

A = 6

The number is 6

A cubic centimeter is the space taken by a square whose sides are 1
centimeter long.
O
A. True
SE3
B. False
SUBMIT

Answers

Answer:

False

Step-by-step explanation:

A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.

On the Price Is Right game show, to get into the showcase at the end, contestants spin a wheel with 20 equally sized spaces, numbering 5 cents, 10 cents, 15 cents,and so on, up to $1.00. If the contestant spins once, find the probability of getting a $1

Answers

there is a 5% chance they could get a dollar

Line L1 has the equation 3x-30y=y
Express the equation of L1 in the slope-intercept form

Answers

Answer:

[tex]y=\frac{3}{31} x[/tex]

Step-by-step explanation:

Written in: y = mx + b

Answer:

y = 3/31x

Step-by-step explanation:

Step 1:  Add 30y to both sides

3x - 30y + 30y = y + 30y

3x = 31y

Step 1:  Divide both sides by 31

3x / 31 = 31y / 31

y = 3/31x

Answer:  y = 3/31x

The value of a dirtbike decreases by 15% each year if you purchase this dirtbike today for $500 to the nearest dollar how much would the baby be worth five years later

Answers

You want to find 15% of $500; to do this, multiply $500 by 0.15 (75) and you got your answer $75

gz/g + z, for g = 12 and z = 9

A. 5.14
B. 36
C. 9
D. 12

Answers

To solve this problem, we simply must plug in the values.

gz/g + z ⇒ [tex]\frac{12(9)}{12}[/tex] or 9.

When we plug in 12 for g and 9 for z, we will find that option C is correct.

The longest side in a right triangle is 24 cm and the second longest side 20 cm, what is the length of the shortest side

Answers

Answer:

[tex]4\sqrt{11}[/tex]

Step-by-step explanation:

you use the Pythagorean theorem, so the longest side is the hypotenuse and so you do 24^2 minus 20^2 to find the shortest side. you would get 176 and you square root this to get about 13.27

In triangle ABC, AB = 8.9 m, Angle BAC = 90° and Angle ABC = 56°. H lies on BC such that AH
is perpendicular to BC. Find the length of
(i) AH
(ii) HC.

Please help me!! Thank you

Answers

Answer:

(i) The length of AH is 7.3784 m

(ii) The length of HC is 10.9389 m

Step-by-step explanation:

The sum of the angles ABC, BAC and ACB is 180º, hence, ACB = 180-90-56 = 34º. Note also that AH breaks the rectangle triangle ABC into 2 rectangle triangles AHB and AHC.

i) In AHB, AB is the hypotenuse, and the angle ABH is equal to ABC, hence it is 56º. AH is the opposite side of that angle and we know that

Sin(ABH) = opposite/hypotenuse = AH/8.9

Thus,

AH = 8.9*Sin(ABH) = 8.9*Sin(56º) = 7.3784 m

ii) In AHC, AH is also the opposite of the angle ACH (which meassures 34º), and HC is the adjacent of that angle (the hypotenuse is AC). As a result

Tan(ACH) = Tan(34º) = 0.6745 = opposite/adjacent = AH/HC = 7.3784/HC

Hence,

HC = 7.3785/0.6745 = 10.9389 m

Final answer:

AH = 8.9 m, HC = 0 m

Explanation:

Given that triangle ABC is right-angled at A, we can use trigonometry to find the lengths of AH and HC.

To find the length of AH, we can use the sine of angle BAC:

AH = AB * sin(BAC) = 8.9 * sin(90°) = 8.9

Since AH = 8.9 m, we can find the length of HC by subtracting AH from BC:

HC = BC - AH = 8.9 - 8.9 = 0 m

Gina has been present at school for 40 of the first 45 days of the school year. The school year is 180 days long. If Gina continues to attend school at the same rate, how many days will she attend school during the school year?

Answers

The answer is going to be 160.

Answer:

158

Step-by-step explanation:

40 is about 88% of 45,

88% of 180 is 158.4,

I'm assuming you need whole days so that would be 158

line Q passes through points (3,9) and ( 10,5) line R is perpendicular to Q what is the slope of
line R

Answers

Answer:

7/4

Step-by-step explanation:

The slope of Q is (9-5)/(3-10) = -4/7

Perpendicular lines' slopes are opposite reciprocals of eachother (so the +/- changes and then x/y becomes y/x).

This means the slope of R is 7/4

The required slope of line R will be 7/4.

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

Two lines are perpendicular if the product of their slopes is -1.

The line Q is given which passes through points (3,9) and ( 10,5)

Let

x₁ = 3,  y₁ = 9

x₂ = 10, y₂ = 5

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Substitute values in the formula

The slope of line Q will be:

m = (9-5)/(3-10)

m = -4/7

Since line R is perpendicular to Q, so the slope of line R will be

⇒ -1/m

⇒ -1/(-4/7)

Reciprocal the term in the denominator,

⇒ -1 × -7/4

Apply the multiplication operation, and we get

⇒ 7/4

Therefore, the required slope of line R will be 7/4.

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Which graph is a Linear function of x?

Answers

Graph B is the only straight line, thus the linear function of x and the correct option is B.

A linear function is a function whose graph is a straight line. This means that for any two points on the graph, the change in y divided by the change in x is always the same.

Looking at graph B, we can see that the line is perfectly straight. This means that the change in y divided by the change in x is always the same, regardless of where we are on the line.

Therefore, graph B is a linear function of x.

Graphs A, C, and D are not linear functions of x. Graph A is a quadratic function, meaning that its graph is a parabola. Graph C is a piecewise function, meaning that its graph is made up of two different lines. Graph D is an exponential function, meaning that its graph curves upward.

Therefore, the correct option is B.

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