Zoe paid $18.60 in sales tax and tips for her dinner. The sales tax rate is 11% and she tipped 20%, percent. (The sales tax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.)

under 21 years of age= 40     25         20  tot= 85

between 21 and 40=     35     20         30  tot = 85

       over 40=               20     30         35   tot = 85

If one of the 255 subjects is randomly selected

P (over 40) = 85/255 = 1/3

Hope this helps!

9514 1404 393

Answer:

  (3, 4)

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  Q = (A + B + C)/3

  Q = ((1, 1) +(4, 5) +(4, 6))/3 = (1+4+4, 1+5+6)/3 = (9, 12)/3

  Q = (3, 4)

The centroid is (3, 4).

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                      (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                       10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

Answer:

her grade would be 60

Step-by-step explanation:

each question would be 20 points so you just add up what she got correct and you would get 60.im pretty sure I'm correct but if sorry.bye!

Answer:

x=70

Step-by-step explanation:

Because the pair is a supplement, it should add up to 180°, so that means that (2x+6)+34=180

Answer:

[tex]x=70[/tex]°

Step-by-step explanation:

Supplementary angles are a pair of angles that form a linear pair, or a straight angle/line, and their measure sum to [tex]180[/tex]°. We are given a pair of supplementary angles with measures of [tex](2x+6)[/tex]° and [tex]34[/tex]°. Therefore, all we have to do to find the value of [tex]x[/tex] is set the sum of the given angles' measures to [tex]180[/tex]°. In an equation, that would be:

[tex]2x+6+34=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]2x+6+34=180[/tex]

[tex]2x+40=180[/tex] (Simplify LHS by combining like terms)

[tex]2x+40-40=180-40[/tex] (Subtract [tex]40[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=140[/tex] (Simplify)

[tex]\frac{2x}{2} =\frac{140}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=70[/tex]° (Simplify)

Hope this helps!

2/18

Multiple the numerator by 6.

Answer:2/3 divided by 6 would be 2/18 but if u simplified it would be 1/9

If u don’t believe me here’s a quick check

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

[tex]\frac{6x}{6}<\frac{18}{6}[/tex]

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

[tex]\frac{6x}{6} >\frac{24}{6}[/tex]

answer

x>4

Answer:

reflection across y translate 1 unit to the right translate 6 units down

Step-by-step explanation:

Answer:

I believe the answer is

-7y+9/6

Answer:

-7/6 y -3/2

Step-by-step explanation:

Answer:

If you look at the different triangles in the star they give you two angles....

all of the points in a triangle would be equal and you just subtract  24 from 105

x is 24 and y is 81

Step-by-step explanation:

Answer:

it is c

Explanation:

hopes it helps

Answer:

d. The distribution conforms to a normal distribution.

Step-by-step explanation:

A normal distribution is when data has equal symmetry such that the distribution is not positive skewed nor negative skewed. A normal distribution has zero skewness as mean, median and mode are all equal.

In the above example, the data has a normal distribution because most values lie close to the mean(7.9 percent are less than 38 and 8 percent are more than 66)

Answer:

Step-by-step explanation:

5•6 =30 6•8 =48 9•5=45 30+48+45=123

Answer:

j

Step-by-step explanation:

Answer: The price of adult ticket is $ 13and child ticket is $12.Hope this will help u.....

Step-by-step explanation:

I think it; 300cm is greater.

Why; 300 cm make 9 ft.

9 ft > 6 ft

300cm is greater than 6 ft.

Unit conversion is a multi-step procedure that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.

For this problem, we need to do a unit conversion between ft and cm. since,

1 ft = 30.48 cm

6 ft = 182.88 cm.

Therefore 300cm is greater than 6 ft.

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Answer:

38%

Step-by-step explanation:

Original price = $ 80

Price after reduction = $ 49.60

Reduction = 80 - 49.60  = $30.40

Percentage of decrease = [tex]\frac{reduction price}{original price}*100[/tex]

                                         [tex]= \frac{30.40}{80}*100\\\\=\frac{3040}{80}[/tex]

                                          =  38%

Answer:

38%

Step-by-step explanation:

80x0.62=49.60

Answer:

He must lose 4.4 pounds per week.

Step-by-step explanation:

Buffalo Bill currently weighs 202 lb. He wants to weigh 180 lbs for his reunion.

This means that he needs to lose 202 - 180 = 22 lb.

35 days from today.

Each week has 7 days. So this is 35/7 = 5 weeks from now.

How many pounds per week must he lose?

22 pounds in 5 weeks, that is 22/5 = 4.4 pounds per week.

Answer:

6x3=18

Step-by-step explanation:

Answer:

The expression in multiplication would be 6*3.

Step-by-step explanation:

We know this because 6+6+6=18 and 6*3=18

Answer:

Reduction

Step-by-step explanation:

so, the blue shape's letters  are E, F, G, H and I.

the green shape's letters are E', F', G', H', and I'.

the letters with the '  are the ones that are after the origianal.

:) hope i helped

Answer:

enlargement i think

Step-by-step explanation:

Answer:

nub 5

Step-by-step explanation:

The Least Common Multiple, LCM, also known as the Lowest Common Multiple or  Least Common Divisor, LCD, of two numbers is the smallest natural number that can be divided evenly by either of the two numbers

Reason:

The given parameters, starting from the runner on the outer track are;

Number of spaces covered by the runner on the outer track, n₁ = 5 spaces

Number of spaces covered by the next inner runner, n₂ = 1 space

Number of spaces covered by the next inner runner, n₃ = 3 spaces

Number of spaces covered by the next runner, n₄ = 2 spaces

The numbered spot at which all the runners will be next to one another = Required

Solution:

A spot where all the runners will be next to one another is given by the Lowest Common Multiple, LCM, of their speeds or number of spaces traveled in the same time as follows;

The LCM of 5, 1, 3, and 2 = 5 × 1 × 3 × 2 = 30

Therefore, when the first runner runs 30 spaces, we have;

[tex]Time = \dfrac{30}{5} = 6[/tex]

The time taken is 6 time units

The point the runner stops is at space 30- (30 -19) = Spot 19

The distance traveled by the runner 2 at the same time is 6 × 1 = 6

∴ The distance traveled by the runner 2 at the same time = 6 spaces

The distance traveled by the runner 3 at the same time is 6 × 3 = 18

∴ The distance runner 3 travels at the same time = 18 spaces

Runner 4 travels a distance at the same time of  6 × 2 = 12

∴ Distance runner 4 travels = 12 spaces

Therefore;

The numbered spot at which all the runners will be next to one another is spot 19

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Answer:

43

Step-by-step explanation:

3x - 17 and x - 9 are on a line together, so they add up to 180.

3x + 17 + x - 9 = 180

Then, you can solve the equation:

4x + 8 = 180

4x = 172

x = 43 degrees

The relationship of congruency that describes that the given triangles are congruent is SAS.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, are two triangles with an included angle of 76° and the corresponding sides are congruent to each other.

∴ The relationship that shows that the triangles below are congruent are

side angle side or SAS.

learn more about congruency here :

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Answer: 3:1

Step-by-step explanation:

Given:

Rosie and dan share some sweets.

Dan gets ¼ of sweets

To find:

Write down the ratio of the number of sweets Rosie to the number of sweets Dan gets

the ratio of the number of sweets Rosie gets to the number of sweets Dan gets is → 3 : 1.

Answer:  15d-7

Step-by-step explanation:

hope it's helpful ❤❤

THANK YOU.

Answer:

f(3x + 4) = 5x + 8

⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+\frac{24}{5})[/tex]

⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+4+\frac{4}{5})[/tex]

⇒ f'(x) = [tex]\frac{5}{3}(x+\frac{4}{5})[/tex]

=> f(3) = [tex]\frac{5}{3}(3+\frac{4}{5})= \frac{19}{3}[/tex]

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

The coefficient of x is the slope, so 7/8.