Damon treated his sister to lunch while visiting her in Weston. Thier lunch cost $40, and the sales tax in Weston is 15%. If Damon left a 20% tip on the $40, how much in total did he pay?

Answer:

Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]

Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]

Step-by-step explanation:

If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].

The area of the square is 288 in.² and the perimeter is 48√2 in.

Given to us,

Diagonal of the square = 24 in.

We know that for a square,

[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]

substituting the values,

[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]

Also, the area of a square is given by (side)², and, perimeter by (4 x side).

[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]

[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]

Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.

To know more visit:

https://brainly.com/question/13747846

Step-by-step explanation:

We have 5x + 4y = 87 and x + y = 20.

=> 5x + 4y = 87 and 4x + 4y = 80.

5x + 4y = 87

- (4x + 4y = 80)

=> x = 7

Therefore (7) + y = 20, y = 13.

The answers are x = 7 and y = 13.

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Answer:

[tex]81.2\:\mathrm{ft}[/tex]

Step-by-step explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

[tex]\tan33^{\circ}=\frac{h}{125}[/tex], where [tex]h[/tex] is the height of the tree.

Solving, we get:

[tex]h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}[/tex].

Answer:

17 right

Step-by-step explanation:

68 percent of 25 is 17

PLEASE MARK ME AS BRAINLIEST!!!!!<3

Answer:

A

Step-by-step explanation:

Answer: A) y = 1/3x − 4

Step-by-step explanation:

Find the Equation Using Point-Slope Formula

slope: 1/3

point: (6, −2)

Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex]  and [tex]y_1[/tex]  in the point-slope form  

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  y − (−2) = 1/3 ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

  y + 2 = 1/3 ⋅ (x − 6)

Solve for y.  

  1/3 ⋅ (x − 6).

Apply the distributive property.

  y + 2 =  1 /3 x +  1 /3 ⋅ − 6

Combine 1/3 and x.

  y + 2 =  x/3 +1/3 ⋅ −6

Cancel the common factor of 3.

  y + 2 =  x /3 − 2

Move all terms not containing y to the right side of the equation.

Subtract 2 from both sides of the equation.

  y = x/3 − 2 − 2

Subtract 2 from −2. x

  y = x/3 − 4

Reorder terms.

  y = 1/3x − 4

List the equation in different forms.

Slope-intercept form:  

y = 1/3x − 4

Point-slope form:

y + 2 = 1/3 ⋅ (x − 6)

Answer:

emily 37.44$ Andy 22.15$

Step-by-step explanation:

Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.

Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44

Answer:

It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.

Step-by-step explanation:

Answer:

I think B.Reflexive property

The property best describes the congruence statement is

Symmetric property.

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.

We know,

The Symmetric Property states that for all real numbers

if x = y then y=x

and, Transitive Property

The Transitive Property states that for all real numbers

if x = y and y = z then z=x.

and, Reflexive Property

for any x, x = x.

Here, the property used is Symmetric.

Learn more about symmetric Property here:

https://brainly.com/question/29206759

#SPJ5

Answer:

the total amount that should be paid back at the end of 10 years is £10,200

Step-by-step explanation:

The total amount that should be paid back at the end of 10 years is shown below:

= Borrowed amount + simple interest

= £6000 + (£6000 × 0.07 × 10)

= £6000 + £4,200

= £10,200

Hence, the total amount that should be paid back at the end of 10 years is £10,200

Answer:

3 years

Step-by-step explanation:

540 = 4000 x 0.045x

540 = 180x

x = 3

Answer:

dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff

Step-by-step explanation:sfsfsfsf

fsfsfdfdsfsdfsfsf

Answer:

2x - 3y = 24

Step-by-step explanation:

You use the formula Ax ± By = C.

This is the standard linear equation form.

1. 74 tens

2. 3, 7, 11

3. 4 2 5

4. 23

5. 560

6.440

7. Sum

8. 1 dollar and 40 cents

9. 84 cents

Hope this helps plz mark brainly :)

Answer:

1. 74

2. 3, 7, and 11

3. 4, 2, and 5

4. 20.2307692308

5. 560

6. 440

7. sum

8.  Chloe

9. 84 cents

Answer:

b is the answer

Step-by-step explanation:

4 1/2 divided by 1 1/4 = 3 3/5

The distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

From the question, we are to determine how far Ben jogged in one hour. That is, how far he jogged per hour.

This means we should determine the rate

Using the formula,

Rate = Distance / Time

From the given information,

Distance = 4 1/2 miles

Time = 1 1/4 hours

∴ Rate = 4 1/2 ÷ 1 1/4

Rate = 3 3/5  miles/hour

Hence, the distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles

Learn more on Calculating Rate here: https://brainly.com/question/20654411

#SPJ2

Answer:

10 times

Step-by-step explanation:

After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65

If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket

65/6.5 = 10

Answer:

10 times bud.

Step-by-step explanation:

Hope this helps!

Answer: 126, 126, 152

or

100, 126, 126

Step-by-step explanation:

Answer:

Cancel the common factor of 8 and 12x²+6.

Tap for more steps...

4x³/6x²+3

Factor 3

out of 6x²+3.

4x³/3(2x²+1)

Step-by-step explanation:

Answer:

20 bolts per bookcase

Step-by-step explanation:

Answer:

Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54

3 hours 54 mins

Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10

5 hours 10 mins

3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins

Answer:9 4/10

Step-by-step explanation:

Answer: That would be 15ft

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

Answer:use math(way

Step-by-step explanation

It help

Answer: 2 miles per hour

Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2