Dylan and 6 of his friends ate lunch together. The restaurant charges 18% for gratuity for groups of 6 or more people, and tax is 6%. Their total bill, without tax and gratuity was $98. Part 1 Which expression will find the additional charge, in dollars, Dylan and his friends will need to pay? A. 98 + (0.18 + 0.6) B. 98(0.6 + 0.18) C. 98(0.06 + 0.18) D. 98(0.18) + 0.06

Answer:

[tex]\boxed{\sf a) \ 15.9}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for x.

cos θ = adj/hyp

cos(51) = 10/x

x = 10/cos(51)

x = 15.89015729

Answer:

1. a. Greatest common factor: 4

b. Greatest common factor: x2

c. Greatest common factor: p2

d. Greatest common factor: x

2. a. (a2 + 1)(4a + 28)

b. (x + 3)(x2− 2)

c. (4x+ 1)(2x−y)

3. a. u2 – 100 = (u + 10)(u − 10)

b. 4a2 − 49 = (2a + 7)(2a − 7)

c. 81 − y2= (9 + y)(9 − y)

d. 16q4− 16 = 16(q4 − 1) 16 (q4 −1) = 16(q2 + 1) (q2− 1) = 16(q2 + 1) (q + 1) (q − 1)

e. 9c3− 9c = 9c (c2− 1) = 9c(c + 1)(c − 1)

f. 48a2b − 12b = 12b (4a2− 1) = 12b(2a + 1)(2a − 1)

Step-by-step explanation:

I got it at PennFoster

Answer:

4.22675 quarts

Step-by-step explanation:

HOPE I HELPED

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DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Answer:

4y - 9

Step-by-step explanation:

y×4= 4y

4y-9

3x^2 - x - 2

What are some ways to solve an equation?

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you evaluate an equation?

= (x - 1)(3x + 2)

= 3x^2 + 2x - 3x - 2

= 3x^2 - x - 2

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Step-by-step explanation:

c

Answer:

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

Answer:

[tex] 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex] \because Force = mass \times acceleration \\

\therefore Acceleration = \frac {Force} {mass} \\

= \frac {12}{3} \\

= 4 ms^{-2} [/tex]

Step-by-step explanation:

[tex]as \: we \: know \: that \: force = mass \times accerlation \: [/tex]

[tex]so \: it \: means \: accerltion = \frac{mass}{force} [/tex]

[tex]so \: put \: the \: values [/tex]

[tex]acceleration = \frac{12}{3} [/tex]

[tex]after \: solving \: it \: we \: get \: the \: answer \: 4[/tex]

so the acceleration is 4 m/s.^2

Hope it helps u

Step-by-step explanation:

let f(x)=y

y=7x-13

y+13=7x

y+13/7=x

f-1(x)=x+13/7

Answer:

Movement along the demand curve

Step-by-step explanation:

edge 2021.

The change in price as shown in the graph is shown as movement along the demand curve.

The terms demand and supply are common themes in economics. They show the relationship between the amount that a seller wants to sell and the amount that a buyer wants to buy. A number of factors affect the demand curve.

The change in price as shown in the graph is shown as movement along the demand curve.

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Answer:

a) b⁹

Step-by-step explanation:

b³ • b⁻⁵ • b¹¹

add the exponents

b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹

b⁹

Answer:

b^9

Step-by-step explanation:

b^3·b^−5·b^11

Since the bases are the same, and we are multiplying, we can add the exponents

b^(3+-5+11)

b^9

Answer:

7.125*10⁻⁹ = 0.000000007125

Step-by-step explanation:

7.125*10⁻⁹ = 0.000000007125

Answer:

b

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

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Answer:

Factorise : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y). = (2x-5y){2(3x+4y) - 6(x-y)}. = (2x-5y) × 14y. = (2x-5y) × 14 × y. Answered by Yasmeen Khan | 22nd ...

Step-by-step explanation:

Answer:

Hope it will help you :)

Step-by-step explanation:

Answer:

-1*5*7*11*y

Step-by-step explanation:

This is the prime factorization of 385y times -1.

Step-by-step explanation:

The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.

by looking the fig we can determine various sides and angles as all are joined together.

Answer/Step-by-step explanation:

1. The linear equation, [tex] y = mx + b [/tex] represents that of a straight line, where,

(x, y) is the coordinate pair of any point on the line,

m = slope, and

b = the y-intercept

2. Area of rectangle and parallelogram can be found using [tex] A = bh [/tex]

3. r stands for radius in the equation for circumference of a circle. It is half of the diameter of a circle.

4. Total surface area of a prism can be calculated using, [tex] Ph + 2B [/tex], where,

P = perimeter of the base of the prism

h = height of prism

B = base area of the prism

5. Formula for the Pythagorean theorem is given as [tex] a^2 + b^2 = c^2 [/tex], where,

a, b, and c are sides of a right triangle, however, c is the hypotenuse or the longest side.

6. Types of interest we solve for are simple and compound interest

7. h, in the area of a triangle (½*b*h) stands for height of the triangle.

8. The two formula for solving for circumference of a circle are C = 2πr or C = πd (note: radius is half of the diameter of a circle)

9. Formula for finding slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Where, [tex] (x_1, y_1), (x_2, y_2) [/tex] could be any two coordinate pairs on the line.

10. Surface area of a cylinder is given as 2πrh, where,

r = radius

h = height of cylinder

11. d represents diameter of circle in C = πd

12. The word, "linear", means a straight line, or along a straight line.

Answer:

360°

Step-by-step explanation:

The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.

Answer:

x > 16/5 or x < -3/4

Step-by-step explanation:

Equation 1: 5x - 4 > 12

Equation 2: 12x + 5 < -4

Equation 1: 5x - 4 > 12

add 4 to both sides

5x > 16

divide by 5 on both sides

x > 16/5

Equation 2: 12x + 5 < -4

subtract 5 on both sides

12x < -9

divide by 12 on both sides

x < -9/12

simplify

x < -3/4

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

Answer:

2p + 12

2 (p = +6) + 12 = 20

Answer:

I think its 6

Step-by-step explanation:

because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6

Answer:

The angle subtended by an arc at the center is double the angle subtended by it at any  point on the remaining part of the circle.

Step-by-step explanation:

Let us consider the image attached.

Center of circle be O.

Arc AB subtends the angle [tex]\angle APB[/tex] on the circle and [tex]\angle AOB[/tex] on the center of the circle.

To prove:

[tex]\angle AOB = 2 \times \angle APB[/tex]

Proof:

In [tex]\triangle PAO[/tex]: AO and PO are radius of the circles so AO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PAO = \angle OPA[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle AOQ = \angle PAO + \angle OPA=2 \times \angle APO .... (1)[/tex]

Similarly,

In [tex]\triangle PBO[/tex]: BO and PO are radius of the circles so BO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PBO = \angle OPB[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle BOQ = \angle PBO + \angle OPB=2 \times \angle BPO .... (2)[/tex]

Now, we can see that:

[tex]\angle AOB = \angle AOQ+\angle BOQ[/tex]

Using equations (1) and (2):

[tex]\angle AOB = 2\angle APO+2\angle BPO\\\angle AOB = 2(\angle APO+\angle BPO)\\\bold{\angle AOB = 2(\angle APB)}[/tex]

Hence, proved.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

94.33

Step-by-step explanation:

add up all numbers then input into a percentage calculator

Percentage of flu vaccine has been given 94.33%

Percentage is defined as ratio expressed as a fraction of 100.

The physician have total 1500 flu injections

300 shots given in September,

450 shots given in October,

and 665 shots given in November,

Total flu vaccine has been given = 300+450+665 = 1415

Percentage of flu vaccine has been given = (1415/1500)×100%

Percentage of flu vaccine has been given = 0.9433×100%

Percentage of flu vaccine has been given = 94.33%

Hence, percentage of flu vaccine has been given 94.33%

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Answer:

x = 5

Step-by-step explanation:

x² - 5x = 0

(x² - 5x) /x = 0/x

x²/x - 5x/x = 0

x - 5 = 0

x = 5

Check:

x² - 5x = 0

5² - 5*5 = 0

25 - 25 = 0

The solution to the equation is:

x = 0 or x = 5

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

We have:

x²-5x = 0

We can solve the equation as follow:

x²-5x = 0

Factorize:

x(x - 5) = 0

x = 0 or (x -5) = 0

x = 0 or x = 5

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Answer:

4ft and 3ft

Step-by-step explanation:

Real mural: 8ft by 15ft

Scale: 2ft by 5ft

Length and width of scale drawing> 8t / 2ft= 4ft (length

                                                         >15ft/ 5ft= 3ft(width)

ANSWER 4FT BY 3FT

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + k) represents a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Here g( x) is f(x) moved 5 units right, thus

g(x) = (x - 5)² → B