Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip. How much was the tip?

Answer:

c,e,f,

Step-by-step explanation:

The answer for this question is C, E and F .

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

Let width = w,

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

Let length = 3w

Let width = w,

have a good day /night

may i please have a branllist

Answer:

775.64

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

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Answer:

A. 8π / 3

Step-by-step explanation:

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

Answer:

No that would be a 90 degree

Step-by-step explanation:

Answer:

[tex]x^3+8x^2+2x+1[/tex]

Step-by-step explanation:

Combine like terms (terms with the same exponent).

[tex]x^3+(3x^2+5x^2)+(x+x)+1=x^3+8x^2+2x+1[/tex]

"Standard form" means to list terms so the exponents go from high to low (descending order).

Answer:

Step-by-step explanation:

Answer:

32z-14

Step-by-step explanation:

2(9z-8)+2(7z+1)

18z-16+14z+2

simplify

32z-14

Answer:

[tex]12.3[/tex]

Step-by-step explanation:

[tex]\bar{x}=\frac{6+17+15+11+10+9+18}{7}=12.3[/tex]

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Answer:

7) 24 8) 75 9) .9

Step-by-step explanation:

You multiply the denominatior with the whole number.

Answer:

x = 24   b = 75   s = 0.9

Step-by-step explanation:

7. Multiply both sides by 2 and you get x = 24

8. Multiply both sides by 5 and you get b = 75

9. Multiply both sides by 0.3 and you get s = 0.9

Answer:

24.5x = 30

      x = 30/ 24.5

         = 1.22448979592

hope this answer helps you.....

Answer:

x= 30/24.5=1.22448

Step-by-step explanation:

we have :

2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448

Answer:

8. X=108.

9. X= 14.

Step-by-step explanation:

Hope it was helpful ;)

Answer:

51ft^2

Step-by-step explanation:

Given data

Side of square patio= 9ft

Area= 9*9= 81 ft^2

New length = 9+3= 12ft

New Widht = 9+2= 11ft

New Area= 12*11

New Area= 132ft^2

Hence the area added is

=132-81

=51ft^2

The 51 square feet area will be added to the patio if the length is increased by 3 feet and the width is by increased  2 feet, Option fourth is correct.

It is given that steve has a square patio with a side length of 9 feet he plans to enlarge it to a rectangular patio by increasing the length by 3 feet and the width by 2 feet.

It is required to find how many square feet in the area will be added.

In mathematics, the area is the space occupied by the 2-dimensional figure or surface.

We know the formula for finding the area of square 'A'

[tex]\rm A= a^{2}[/tex]  where a is the length of the side.

We have a = 9 feet

[tex]\rm A= 9^2\\\rm A= 81 \ Feet^2[/tex]

Increasing the length by 3 feet and the width by 2 feet respectively, wet get:

L =  9+3  ⇒ 12 Feet

W = 9+2 ⇒ 11 Feet, Where L is the length and W is the width of the rectangle.

Area of rectangle = L×W

Area of rectangle = 12×11

Area of rectangle = 132 [tex]\rm Feet^2[/tex]

The area which will be added = (Area of rectangle) - (area of square)

The area which will be added = (132) - (81)

The area which will be added = 51 [tex]\rm Feet^2[/tex]

Thus, the 51 square feet area will be added to the patio.

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multiplying each number by 8

Answer: n=m divided by 8

Step-by-step explanation:

Answer:

Can you picture the question?

Answer:

5808.8km

Step-by-step explanation:

Answer:

The number is 20

Step-by-step explanation:

( x / 5 ) - 7 = -3

           +7    +7

————————

( x / 5)        = 4

     *5          *5

————————

x =               20

To Check;

20 / 5 = 4

4 - 7 = -3

Hope this helps!

Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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Answer:

part b is 32

Step-by-step explanation:

Answer:  

Scale distance on map representation = 2.4 cm

Step-by-step explanation:

Given:

Scale factor [6 cm - 15 Km]

Actual distance = 6 km

Find:

Scale distance on map representation

Computation:

Scale distance on map representation = Actual distance[6cm / 15km]

Scale distance on map representation = 6km [6cm / 15km]

Scale distance on map representation = 36 / 15

Scale distance on map representation = 2.4 cm

Answer:

(3,3)

Step-by-step explanation:

Answer:

25 miles per hour

Step-by-step explanation:

Given

[tex]W = Wind\ resistance[/tex]

[tex]A = Surface\ Area[/tex]

[tex]V = Velocity[/tex]

The joint variation can be represented as:

[tex]W\ \alpha\ A*V[/tex]

Where:

[tex]V = 55; A = 20; W = 220[/tex]

Required

Find V,  when: [tex]A = 55; W = 275[/tex]

We have:

[tex]W\ \alpha\ A*V[/tex]

Express as an equation

[tex]W= k *A*V[/tex]

Where k is the constant of variation

Make k the subject

[tex]k = \frac{W}{A*V}[/tex]

When: [tex]V = 55; A = 20; W = 220[/tex]

We have:

[tex]k = \frac{220}{20 *55 }[/tex]

[tex]k = \frac{220}{1100}[/tex]

[tex]k = 0.2[/tex]

When: [tex]A = 55; W = 275[/tex]

We have:

[tex]k = \frac{W}{A*V}[/tex]

Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]

[tex]0.2 = \frac{275}{55 * V}[/tex]

Make V the subject

[tex]V= \frac{275}{55 * 0.2}[/tex]

[tex]V= \frac{275}{11}[/tex]

[tex]V= 25[/tex]

Answer:

One Way: 79 + 62H + 15H = X

Second Way: 79 + ((62 + 15) x H) = X

Step-by-step explanation:

Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

79 + 62H + 15H = X

So, for example, if the job had lasted 2 hours, the equation would apply as follows:

79 + 62x2 + 15x2 = X

79 + 124 + 30 = X

233 = X

79 + ((62 + 15) x H) = X

In the case, if the work had lasted 1 hour, the equation would apply as follows:

79 + (62 + 15) x 1) = X

79 + 77 x 1 = X

79 + 77 = X

156 = X

The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.

There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.

Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour

$79 + $62h + $15h

= $79 + $77h

Total charge when there is no emergency = one-time service fee + labor charge per hour

$79 + $62h

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Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.