The Martinez family ate at a restaurant. The cost of the meal was $34.50. The sales tax was 6% of the cost of the meal. They left a tip of 15% of the cost of the meal plus tax. What was the total cost of the meal, tax, and tip?
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $42.06 btw)

Answers

Answer 1

1. observe problem

The Full price is:

The Subtotal + the Subtotal*tax

so,

34.50+34.50*0.06=

36.57

The Full price plus tip is

Full price + Full price * tip percentage

so,

36.57+36.57*0.15

Which is

$42.0555

Rounded to is

$42.06


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John is planning for retirement and wants to have an interest income of $3000 a year. How much Must he invest for one year at 8% interest

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Answer:

240

Step-by-step explanation:

Solve the inequality. Graph and check your solutions.
y-2>-17

y>___ (Simplify your answer.)

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I am sorry just today we start this lesson

Find the value of ‘k’ if x+1 is a factor of the polynomial
2 − √2 + 1

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Answer:

[tex]3-\sqrt{2[/tex]

Step-by-step explanation:

proportions in similar triangles. need help

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Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6

Which model represents this word problem?


Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?


HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it

Answers

it is the first one

Step-by-step explanation:

because I used my brain and its correct

Answer:

the first one is correct i believe

KINDA NEED THE ANSWERS ASAP: In the linear function f(x)=-x+1, is the function increasing, decreasing or constant?

Tommorow in Orlando, Florida, the temp. will drop by 3 degrees every hour for the next 10 hours. If it is currently 75 degrees, what temp. will it be after 5 hours from now?

what is the y intercept of the standard form of the linear equation 2y+4x=8?

what is the rate of change in the standard linear form of the equation 3y+6x=12?

If you save $5 each week and you add it to your starting savings of $10, how many weeks do you have to save in order to reach $100?

A pool is filled with 4000 gallons of water. you can drainbthe pool at 100 gallons per hour. how long before the pool is empty?

Answers

Answer:

down below

Step-by-step explanation:

1) when x is increasing, the function is decreasing

2)

The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60

3) when it is the y intercept, x is equal to 0

2y=8

x=4
(0,4) is the y-intercept

4)
divide the equation by 3
y+2x=2

so the points are like (0,4), (1,2), (2,0)

You could figure out the rate of change

5)1

0+5x=100

5x=90

x=18

18 weeks
btw x are weeks

6)

4000/100=40 hours.

Please help! Explain the best you can! :) Thanks!

Answers

Answer:

55°

Step-by-step explanation:

x+x-20=90[Complementary angle]

or, 2x-20=90

or, 2x=90+20

or, 2x=110

or, x=110/2

x=55°

The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.

Answers

Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

What is pH value?

The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.

Given information-

The equation for the pH of a substance is,

[tex]pH = -\log[H^+ ],[/tex]

Here, [tex]H[/tex]hydrogen ions.

The pH value of the solution is 7.2.

The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).

The given equation for pH of the substance is,

[tex]pH = -\log[H^+ ],[/tex]

It can be written as,

[tex]-pH = \log[H^+ ],[/tex]

The pH value of the solution is 7.2. Put the value as,

[tex]-7.2 = \log[H^+ ][/tex]

Rewrite the above equation as,

[tex]\log[H^+ ]=-7.2[/tex]

Using the log property the, above equation can be written as,

[tex][H^+ ]=10^{-7.2}[/tex]

Solve it further as,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

[tex][H^+ ]=6.3095\times10^{-8}[/tex]

Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,

[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]

Learn more about the pH value here;

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If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?

A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer

Answers

Answer: 3 minutes per customer

Explanation: Divide the 36 minutes by 12 customers served. This gives you 3 minutes spent on each customer.

Anyone know how to solve this. I got 4 but wasn’t correct

Answers

Answer:

12

Step-by-step explanation:

a boy standing on a vertical cliff, 50m high is looking down an angle of depression of 20° at a car. How far is the car from the base from the cliff?

Can someone please help me, it's due in 30 mins ​

Answers

Answer:

explanation is in the diagram

The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.

Answers

Answer:

62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185ft

All of the following are equivalent, except _____.


2 x + x

x(2 + 1)

3 x

2 x²

Answers

2x^2

All the others sum to 3x

Can’t get an x^2 as you are only expanding and/or collecting like terms.

Someone, please help

and instead of 10yd its 30yd
and instead of 20yd its 60yd

Answers

129 FT of fencing is required for the problem

Simplify to a single power of 6:

Answers

Answer:

6^2

Step-by-step explanation:

When they are divided, just subtract the exponents. 5 - 3 = 2

Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week? s squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 6 EndFraction Sigma = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction EndRoot s = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 4 EndFraction EndRoot Sigma squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction.

Answers

Variance is average of squared error of observations from mean. The variance of given data is 5.2

How to calculate variance of a given data set?

Variance is average of squared error of observations from mean.

If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,

then its variance is given as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]

The given data set is 4,7,4,10,5

Thus, n = 5 (total 5 observations (data values) )

Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )

Thus, their variance is calculated as:

[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]


Thus,

The variance of given data is 5.2

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Answer:

d

Step-by-step explanation:

Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.

Could someone help me with this please

Answers

Answer:

y = 5x + 12

Step-by-step explanation:

8 A circle passes through the points (0, 2) and (0,8) and its centre lies on the line
x=4.
Draw a sketch and find the equation of the circle.

Answers

Step-by-step explanation:

A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.

So we know is center (4,p) for some number p,

Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.

Why?

A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

With center (0,0).

Consider the equation

[tex] {x}^{2} + {y}^{2} = 9[/tex]

The radius is 3 so two points with x coordinate 0 is

(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.

Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is

(4,5).

Now, we must find the radius. We use distance formula.

For (4,5) and (0,8).

[tex]d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } [/tex]

[tex]d = \sqrt{3 {}^{2} + {4}^{2} } [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5[/tex]

So our radius is 5.

So now we use the equation of center h,k.

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

H is 4

K is 5

[tex](x - 4) {}^{2} + (y - 5) {}^{2} = 25[/tex]

Above is sketch of graph.

Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to

Answers

Answer:

HOW TO:

GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.

Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.

Factor each expression. 81y + 54

Answers

your answer is....

27(3y+2)

your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?

Answers

Answer:

the correct answer is 3

Step-by-step explanation:

4x+24-2=7(4x+2)

4x+22=7*4x+2*7

4x+22=28x+14

4x-28x=14-22

-24x=-8

24x=8

x=3

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP

Answers

8-4-1.3=2.7
2.7 is the amount of blueberry juice used for one 8 ounce fruit smoothies so to get ten of them you multiply by 10
So 2.7x10=27 ounces of blueberry juice
1.3x10=13 ounces of banana flavoring
4x10=40 ounces of soy milk
Hope that helped

Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3

Answers

there you go the steps and then the solution

=
Гу
Which function represents g(x), a reflection of f(x) = {
(3) across the y-axis?
90
f
4
2
1
O g(x) = 2(3)
O g(x) = -2(3x
o g(x) = {(3*
O g(x) = 2(3)*
-2
-3
Next
Submit
Mark this and return

Answers

Answer:

4th answer I believe

hope this helps

What is the solution to the system of equations below?

Answers

Answer:

(9,3)

Step-by-step explanation:

Answer:

x=9,y=3

Step-by-step explanation:

Can yall help

Subtract the sum of the first three prime numbers from the square of 5.

Thanks

Answers

(5X5) - (2+3+5)

25- 10

=15

Please mark as Brainliest!

How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)

Answers

Answer:

214.50

Step-by-step explanation:

A = lw

13 x 11 = 143 (13 is a guess)

143 x 1.50 = 214.50

im not 100 % but give it a try

hope this helps

pls mark brainliest

Finding Conterminal Angels:

Answers

Answer:

106°

Explanation:

(360*3) -974 = 106°

Endless extra value's:

Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...

Negative coterminal angles: -254°, -614°, -974°, -1334°...

But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.

PLEASE ANSWER FOR MY SISTER​

Answers

Answer:

3/5 < 3/3

Step-by-step explanation:

3/3 = 1 whole (1)

3/5 = 0.6

someone help please:

find the value of x

2x - 2 = 4x + 6​

Answers

Answer:

or, 2x=4x+8

or, -2x=8

or, x=-4

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]

Let's overturn the equation –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]

Subtract 2x from both side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]

Cancel 2x from right side & also simplify this equation

[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]

Now, subtract 6 from both side

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]

Once again, cancel 6 from left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]

On simplification –

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]

Now, divide both sides by 2

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]

Henceforth, value of x is -4.
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