you buy a sandwich for $6.965, a salad for $3.25, and a drink for $1.79. if sales tax is 7%, how much change do you receive from $20 bill, rounded to the nearest cent?

Answer:

$96.25

Step-by-step explanation:

In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.

11 * 4 = 44

In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.

11 * 4 3/4 = 52.25

Now, to find the total pay, we add together both the morning and afternoon pays.

44 + 52.25 = 96.25

Therefore, the total pay is $96.25

I hope this helps!! Have a lovely day!! :)

Answer:

$96.25

Step-by-step explanation:

Hours worked in the morning = 12:00 - 8:00

                                                  = 4 hours

Hours worked in the afternoon = 17:30 - 12:45

                                                    = 4 hours 45 minutes

Total hours worked = 4:00 + 4:45

                                = 8 hours 45 minutes

                                 [tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]

Wage = [tex]\dfrac{35}{4}*11[/tex]

         = $96.25

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

Answer:

If

Hight = 6×base

And

Base = X

Then

Hight = 6 × X

Which is equivalent to

Hight = 6X

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Area of a Parallelogram is ~

[tex]\qquad \sf  \dashrightarrow \:base \times height[/tex]

[tex]\qquad \sf  \dashrightarrow \:7 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:35 \: {cm}^{2} [/tex]

Answer:

The U.S. won 101 medals.

Step-by-step explanation:

101

Hope it helped and have a great day!

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

Answer:

See below.

Step-by-step explanation:

Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.

94 and 86

119 and 61

-hope it helps

Answer:

S₄₀ = 2780

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

14 - 11 = 17 - 14 = 3

this indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 3 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]

      = 20( 22 + 117)

      = 20 × 139

      = 2780

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

Answer:

Volume;

Let's find the volume of the hemisphere above,

Formula for hemisphere volume:

V = 2/3πr

Where pi(π) is 22/7 or 3.14, and 'r' is the radius.

(extra info:) D/2 = radius

So, diameter in this case is 6,

6/2 = 3 is the radius.

Replace values:-

V = 2/3πr

V = 2/3 x 3.14(3)

V = 2/3 x 9.42

V = 18.84/3

V = 6.28 feet is the volume for the hemisphere.

Now the cylinder's volume,

Cylinder volume formula:

V = π[tex]r^{2}[/tex]h

Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.

Replace values (we figured out radius is 3);

V = π[tex]r^{2}[/tex]h

V = 3.14(3^2) x 10

V = 3.14(9) x 10

V = 28.26 x 10

V = 282.6 feet is the volume of the cylinder.

Add our volumes:-

6.28 + 282.6

= 288.88 feet is our volume.

Surface area;

Now the surface area formula of the cylinder is:

SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)

Replace values:

SA = 2πrh + 2π[tex]r^{2}[/tex]

SA = 2(3.14) x 10 + 2(3.14) x 3^2

SA = 6.28 x 10 + 6.28 x 9

SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.

Now the surface area formula of the hemisphere;

SA = 3πr²

Replace values;

SA = 3πr²

SA = 3(3.14) x 3^2

SA = 9.42 x 9

SA = 84.78 is the surface area of the hemisphere.

Add the areas;

119.32 + 84.78

= 204.1 feet is the surface area.

The distance run by each of the seven students is 1/14 miles.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the distance run by each student, we would divided the total miles by the number of students.

Miles run by each student = 1/2÷ 7

1/2 x 1/7 = 1/14 miles

To learn more about division, please check: https://brainly.com/question/13281206

y = 1

Step-by-step explanation:

X = 2y + 6

X³ - 8y³ - 36xy - 216 = 0

(subsitute)

(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0

(concentrate on first part)

(2y + 6)(2y + 6)(2y + 6)

(4y² + 12y + 12y + 36)(2y + 6)

(4y² + 24y + 36)(2y + 6)

8y³ + 24y² + 48y² + 144y + 72y + 216

(back to full equation)

8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0

(factor the last part)

-36(2y + 6)y

y(-72y - 216)

-72y² - 216y

(back to main equation)

8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0

(start to cancel out)

8y³ and -8y³ cancel

72y² + 216y + 216 - 72y² - 216y - 216 = 0

72y² and -72y² cancel

216y + 216 - 216y - 216 = 0

216y and -216y cancel

216 - 216 = 0

those cancel

0y = 0

add 1 to both sides

y = 1.

(I hope this helped)

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)

First, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:

[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]

[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]

[tex]\overrightarrow {RS} = (-6, 7)[/tex]

The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:

[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]

[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]

θ = tan⁻¹ (7/-6)

θ ≈ 130.601°

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Answer:

145.1 m^2

Step-by-step explanation:

(8x15)+(3.14x8)

120+25.12

145.12

round

145.1

Answer:

I'm 100% sure the answer is 4.24

Step-by-step explanation:

please mark as BRAINLIEST

Answer:

$24.24

Step-by-step explanation:

0.41 x 36 = 14.76
36 - 14.76 =21.24
Hope this helps :)

Answer:

the answer is 7/12..

thank u

Answer:

2) [tex]\displaystyle -9a^3b^5[/tex]

1) [tex]\displaystyle \frac{x^8}{3}[/tex]

Step-by-step explanation:

2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]

1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.

I am joyous to assist you at any time.

Answer:

D

Step-by-step explanation:

A doesn't work because a square is not a rhombus

B is out of context

C is true

D makes the most sense to the original question

Answer:

4.5 inches

Step-by-step explanation:

1/15 of 67.5

This is if you are looking for the proportional height. That's all I can solve with given this info.

Answer:

9

It is 9 because 9 is the only number that multiplied by itself is 81.

Answer:

See below

Step-by-step explanation:

1. Two numbers that multiply to 17 and add to 18.

2. Two numbers that multiply to 36 and add to -20.

Answer:

Step-by-step explanation:

The terms x and y must be substituted to isolate one side of the equation.

First, you have to substitute by the y=5/6x+10.

[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]

Solve.

[tex]\sf{4x+60=-12}[/tex]

Subtract by 60 from both sides.

4x+60-60=-12-60

Solve.

4x=-72

Divide by 4 from both sides.

4x/4=-72/4

Solve.

Divide the numbers from left to right.

-72/4=-18

x=-18

Substitute: x=-18

[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]

Solve.

y=5/6(-18)+10=-5

y=-5

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

If you have any questions comment below

Answer:

1/4

Step-by-step explanation:

from 8 to 27, there are 5 number that are divisible by 6 or 7.

=>       12,14,18,21,24

=>       number of favourable outcomes = 5

=>       numer of possible outcomes = 20

probability = no. of favourable outcomes/ no. of possible outcomes

=>       probability = 5/20

=>       5/20 = 1/4

Step-by-step explanation:

x^2 + (4+3)X + 12

x^2 + 4x + 3X + 12

X (X + 4) + 3 ( X + 4)

( X + 3) (X +4)

Solving steps:

[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]

breakdown the following

[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]

break the expressions into groups

[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]

factor the following

[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]

factor the common term: (x+3)

[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5} = 36[/tex]

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

Answer:

1A.)The tip would be $18, thus meaning the total will shoot up to 108$.

1B.) Divide 3 by 18, and you get $6 per person.

Step-by-step explanation:

Hope this helps!~

The total bill with the tip will be $108.00. Considering this value each person will pay $36.00

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]

The question gives:

For solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.

Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]

Total bill= 18+90=108

For solving this item you should divide the value of the total bill with the tip by 3 (friends).

Individual Payment= 108/3 = 36

Read more about the percentage here:

brainly.com/question/24304697