2. Danny goes to McDonald's with her friends. They buy 3 Big
Macs, 2 Chicken Sandwiches, 5 French Fries and 4 Cokes.
McDonald's also charges 8.25% sales tax. How much will Danny
and his friends pay for the meal, including taxes. If Danny pays
the cashier $100, how much change will he get back?

Answer:

The estimated weight that the airplane can carry is: Option C: 350,000 pounds

Step-by-step explanation:

Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.

We will work out the passengers weight first.

For Passengers:

Let w be the total weight of all passengers

[tex]w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds[/tex]

For Fuel:

Let f be the total weight of fuel

Then

[tex]f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500[/tex]

Total weight = 101475 + 247500 = 348975 pounds

As 350000 is nearest to the calculated answer, it will be the right answer.

Hence,

The estimated weight that the airplane can carry is: Option C: 350,000 pounds

Answer: They are not perpendicular because their slopes are  not negative reciprocals.

Step-by-step explanation:

For these two lines to be perpendicular, their slopes have to be negative reciprocals.

Slope of FG.

F = (-4, 1)

G = (0, -2)

= (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 1) / (0 + 4)

= -3/4

Slope of HJ

J = (0 , 4)

H = (-4, -2)

Slope =  (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 4) / (-4 -0)

= 6/4

= 3/2

The slopes of these lines are not negative reciprocals so these lines are not perpendicular.

Answer:

We conclude that the rule will be:

aₙ = 31/12 +  1/6n

Step-by-step explanation:

Answer:

we conclude that the rule will be:

[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]

Step-by-step explanation:

Given

The nth term of Arithmetic Sequence

We know the arithmetic sequence with the common difference is defined as

where a₁ is the first term and d is a common difference.

To Determine:

The Rule of the nth term of Arithmetic Sequence

Steps to solve the problem

The 6th term of the Arithmetic sequence be defined as

a₆ = a₁ + (6-1) d

substituting a₆ = 43/12 and a₁ = 11/4 to determine d

43/12 = 11/4 + 5d

switch sides

11/4 + 5d = 43/12

subtract 11/4 from both sides

11/4 + 5d - 11/4 = 43/12 - 11/4

5d  = 5/6

Divide both sides by 5

5d/5 = [5/6] / [5]

d = 1/6

as

a₁ = 11/4

d = 1/6

Therefore, the nth term of the Arithmetic sequence will be:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 1/6 and a₁ = 11/4

aₙ = 11/4 + (n-1) × 1/6

    = 11/4 + 1/6n - 1/6

    = 31/12 +  1/6n

Therefore, we conclude that the rule will be:

aₙ = 31/12 +  1/6n

Answer:

The slope is 3

Step-by-step explanation:

Answer:

10 minutes

Step-by-step explanation:

Answer: that would be 83 seconds a lap i believe

Ps: this dexter kid is really fast

Step-by-step explanation:

I hope this helps if not sorry :(

Answer:

a = 3

b = 6

The product ab =  3 x 6 = 18

Step-by-step explanation:

Data Given:

Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]

Let X be the side of the hexagon.

So, the area of the Hexagon is:

Area of the Hexagon = [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]

Now, we have to calculate the length of Fido's Leash by using Lw of Sine

Law of Sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{0.5S}{sin30}[/tex] = [tex]\frac{Length}{sin60}[/tex]

Solving for Length, where sin30 = 1/2 and sin60 = [tex]\frac{\sqrt{3} }{2}[/tex]

Suppose Length = Y

Y = [tex]\frac{\sqrt{3} }{2}[/tex]X

Now, as we have got the length we can calculate the area that Fido can cover,

So, the area covered by Fido = [tex]\pi[/tex] x [tex]Y^{2}[/tex]

Area = [tex]\pi[/tex] x [tex](\frac{\sqrt{3} }{2}X) ^{2}[/tex]

Area = [tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex]

So, now, we can get the fraction of the area of Fido's Yard by dividing the area of hexagon by area that fido can cover.

Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]

[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex] / [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]

[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] / [tex]\frac{3\sqrt{3} }{2}[/tex]

6 [tex]\pi[/tex] / [tex]12\sqrt{3}[/tex]

[tex]\pi[/tex] / [tex]2\sqrt{3}[/tex]

Which can be rewritten as by multiplying and dividing by [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} \pi[/tex]/ 6

By comparing the above equation and the given equation we can find a and b :

So,

a = 3

b = 6

And the product ab =  3 x 6 = 18

Answer:

the first option

Answer:

-0.296296296296...

Answer:

TRUE/  −0.296296

Step-by-step explanation:

(-2/3)^3 = (-2/3) (-2/3) (-2/3) =

−0.296296=−0.296296

True

Step-by-step explanation:

7x^(2y) - 2xy² - 6x^(2y) + 3xy² - xy + 8

= x^(2y) + xy² - xy + 8.

When x = -2 and y = 4, we have:

(-2)^(8) + (-2)(4²) - (-2)(4) + 8

= 256 - 32 + 8 + 8

= 240.

There is ambiguity between x^(2y) and x²y written in your question.

Answer:

The answer is 0.

Step-by-step explanation:

x = -2 , y = 4

7(-2)²(4) - 2(-2)(4)² - 6(-2)²(4) + 3(-2)(4)² - (-2)(4) + 8

112 + 64 - 96 - 96 + 8 + 8

176 - 192 + 16 = 0

Answer:

14

Step-by-step explanation:

Answer:

M (2,8)= (x1y1)

B(-4,19)= (x2y2)

here,

midpoint = (x1+x2/2) (y1+y2/2)

= ( 2+ (-4)/2) (8 +19/2)

= (-2/2) (27/2)

= -1, 13.5

Step-by-step explanation:

by using midpoint formula

Answer:

Adjacent

Step-by-step explanation:

Angles WYX and XYZ are next to eachother.

Answer:

No Petra is wrong

Step-by-step explanation:

The associative property of multiplication goes thus :

(x * y) * z = x * (y * z)

The equation give in the question :

(9.5 x 9) + 1 = 9.5 * 10

The associative property cannot be used to rewrite the equation as claimed above.

Because, the equation includes both multiplication and addition functions. Hence, it has to be solved separately following tbe rule of BODMAS., THE sign preceeding 9 in the equation is multiplication and as such not mathematically correct to add such number to +1

To ascertain :

(9.5 x 9) + 1 = 86.5

9.5 * 10) = 95

Hence,

(9.5 x 9) + 1 ≠ 9.5 * 10

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

Answer:

bottom rung 24cm. wide and the top rung

18cm. wide. If the length of the rungs decreases uniformly from bottom to top, how long

should each of the seven intermediate rungs be?

3,Find the first term of the sequence 10, 5, 2.5, 1.25, . . . which is less than 0.0001.

3,In an arithmetic sequence, if the p

th term is q and the q

th term is p, find the (p + q)

th term.

Answer:

Solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

Solving:

[tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]

First we convert mixed fraction into improper fraction

[tex]\frac{3}{4}n=-\frac{7}{4}n-18[/tex]

Now adding 7/4 n on both sides

[tex]\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18[/tex]

Now, taking LCM on left side

LCM of 4 and 4 is 4

[tex]\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18[/tex]

Now, multiply both sides by 4/10

[tex]\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}[/tex]

So, solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]

Answer:

A= 1.50x+75  B= 2.50x+45

Company A is cheaper than Company B when x > 30 miles.

Step-by-step explanation:

Company A charges$75 for the rental even when driving x=0 miles, and will charge and additional $1.50 per mile driven. Therefore the amount Company A would charge for xx miles is:

A=1.50x+75

Company B charges $45 for the rental even when driving x=0 miles, and will charge and additional $2.50 per mile driven. Therefore the amount Company B would charge for x miles is:

B=2.50x+45

When x takes less than 30 miles, Company A is cheaper than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.

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

When driving x = 0 miles, Company A charges $75 for the rental and an additional $1.50 for each mile driven. Thus, the price that Company A would charge for x miles is as follows:

⇒ A = 1.50x + 75

When driving x = 0 miles, Company B charges $45 for the rental and an additional $2.50 for each mile driven. Thus, the price that Company B would charge for x miles is as follows:

⇒ B = 2.50x + 45

Hence, when x takes less than 30 miles, Company A is less expensive than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.

Learn more about the Linear equations here:

https://brainly.com/question/13738061

#SPJ5

Answer:

x=1

Step-by-step explanation:

Using quadratic formula

Answer:

We conclude that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.

Step-by-step explanation:

Given the table

x             y

-2           4

-1             1

0            0

1             1

2            4

Let us substitute the x-values of the table in the equation

y = x²

plun in x = -2

y = (-2)² = 4

so the point (2, 4) lies on the graph of y =  x²

y = x²

plun in x = -1

y = (-1)² = 1

so the point (-1, 1) lies on the graph of y =  x²

y = x²

plun in x = 0

y = (0)² = 0

so the point (0, 0) lies on the graph of y =  x²

y = x²

plun in x = 1

y = (1)² = 1

so the point (1, 1) lies on the graph of y =  x²

y = x²

plun in x = 2

y = (2)² = 4

so the point (2, 4) lies on the graph of y =  x²

Therefore, we conclude from the above calculations that all the points of the table satisfy the equation y = x²

Hence, the option containing the equation y =  x² is true.

The graph of y =  x² is also attached below.

Answer:

maybe a

Step-by-step explanation:

Answer:

y=35x+50

Step-by-step explanation:

The 50 is a one-time fee, therefore it is shown as addition

35 per day means that for 3 days, you would pay 105

X represents the number of days

Answer:

9.6

Step-by-step explanation:

8/50=x/60

cross multiply

50x=480

x=9.6

Answer:

Step-by-step explanation:

Describes pairs are:

This is matching the option B

Answer:

B. (4,4), (9,6), (4,4)

Step-by-step explanation:

:)

Answer:

368/5

Step-by-step explanation:

hope it helps

.........

Answer:

73.6

Step-by-step explanation:

80% = 0.8

0.8 * 92 = 80% of 92

0.8 * 92 = 73.6

80% = 73.6

:3))

Answer:

1

Step-by-step explanation:

The blocks are rotating counterclockwise.

Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

=g(x²+4)

(goh) (0) = 0²+4

=4

Hence, the required answer is 4.

Step-by-step explanation:

height of the cylindrical tank = 20m

circumference of the tank = 39m

volumn of tank =  

perimetre formula = 2πrh

= 2 x 3.14 x r x 20 = 39

= 188.4r = 39

r = 188.4/39

r = 4.83

volumn =  πr^/2

h

= 3.14 x 4.83^2 x 2 x 20

= 1465.05

volumn of tank = 1465.05

Answer:A function should pass the vertical line test.

Graph each of the functions to determine whether it passes the vertical line test.

Set #1  is a function

Set #2 is a function

Set #3 is not a function

Set #4 is not a function

Set #5 is not a function

Set #6 is not a function

Step-by-step explanation: