An 18% tip is left on a $65 dinner bill. 5% tax is added (before tip). What is the total paid?

Answer:

198.5 cm²

Step-by-step explanation:

From the figure above we can treat the two semi circles as 1 circle.

Now, the diameter is 10 cm

Thus;

Radius; r = 10/2

r = 5cm

Now, formula for area of a circle is;

A = πr²

Thus;

Area of 2 semi circles = Area of 1 circle = π × 5²

A_circle = 78.54 ≈ 78.5 cm²

When we take out the 2 semi circles, what we have left is a rectangle.

Now, the length of the rectangle will be;

Length; L = 22 - 5 - 5 = 12 cm

*This is because the radius of the semi circle is 5 and distance from the edge of the 22 cm length to the centre of the semi circle is 5 cm

Thus, area of rectangle is given by;

A_rect = LW

W in the image is 10 cm

Thus;

A_rect = 12 × 10

Total area of shape is;

A_total = 120 + 78.5

A_total = 198.5 cm²

Answer:

1.5q - 5r = 2

Step-by-step explanation:

All you need to do here is negate each term inside the brackets, which allows you to get rid of the minus sign and the brackets.

-(-1.5q + 5r) = 2

is exactly the same as saying:

-1 × (-1.5q + 5r) = 2

And if we multiply each term in the brackets by negative one, we get:

(1.5q - 5r) = 2

And now the brackets can go, leaving you with:

1.5q - 5r = 2

Answer:

maybe rotation.........i think....

Answer:

x = -1

Step-by-step explanation:

x - 9.5 = -10.5

x = -10.5 + 9.5

x = -1

Given:

There are 19 oak trees in a park.

There will be 56 oak trees in the park the plantation.

To find:

How many oak trees did they plant today?

Solution:

We have,

Initial number of oak trees = 19

Number of trees after plantation = 56

Now, the number of oak trees they plant today is

New trees = Number of trees after plantation - Initial number of oak trees

                 = 56 - 19

                  = 37

Therefore, they did plant 37 oak trees today.

Answer:

-2

Step-by-step explanation:

Here the question wants to find the range of function. Your answer is incorrect because you are confusing between range and domain.

Domain is the set of all x-values. That means any values that are part of x are subset of domain itself. We can find domain two ways which are

But we are not talking about domain as we are looking for the range of function.

Range is the set of all y-values. In the relations or ordered pairs (x, y). Our y is the range. Range can also be called Co-Domain or Output. But of course, we are not talking about finding range using relation method. We are going to find range by looking at the graph.

The range starts from minimum value to maximum value. If there is another point between minimum value and maximum, just ignore it.

Here is a diagram or easier way to understand.

[tex] \boxed{minimum} \Longrightarrow \boxed{maximum}[/tex]

From the graph, our minimum is -5 and our maximum is -1. Notice that there is another opened point at -2 which we are supposed to ignore. Because both minimum and maximum are closed dots. Hence, we use >= or <= only.

Therefore the solution should be

[tex] - 5 \leqslant y \leqslant - 1[/tex]

[tex] - 5 \leqslant y \leqslant - 1[/tex]

......the correct answer is A

Answer:

B

Step-by-step explanation:

Answer:

$2,297.76

Step-by-step explanation:

Present value: P = 2000

Future value: F

Annual interest rate: r = 3.5% = 0.035

Time: t = 4 years

Number of compounding periods per year: n = 2

[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]

[tex] F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4} [/tex]

[tex] F = 2000(1 + 0.0175)^{8} [/tex]

[tex] F = 2000(1.0175)^{8} [/tex]

[tex] F = 2000(1.148881783) [/tex]

[tex] F = 2297.76 [/tex]

Answer: $2,297.76

Answer:

-5x+18/x+2

Step-by-step explanation:

I'm pretty sure it's the answer

Answer:

y=5x-21

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

This expression is a difference of squares.

(√3 + i)(√3 - i) = (√3)²-(i)², which is

3 - (-1)

= 3 + 1

= 4

Answer:

hii

shshjsjjsjsjs

hshsh

ssddff

f

f

off

if

f

off

f

f

d

ddf

y

5

e

w

s

xf

Given:

Mason throws a coin 3 times.

The outcome of each throw is either Heads or Tails.

To find:

The list of all the possible outcomes of the 3 throws.​

Solution:

Let H represents heads and T represents tails.

For each throw we have 2 choices either H or T.

For three throws the total number of possible outcomes is

[tex]2^3=8[/tex]

Now, list the possible outcomes as shown below.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Therefore, the list of 8 possible outcomes is HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Answer:

54

Step-by-step explanation:

1. A = 6 x 9

A = 54

Hope that helps!

Answer:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

ok i think this is right

Using the SA formula you'll have to substitute in the edge length for s.

SA = 6(312)²

SA = 584064

The surface area is 584,064 feet²

Answer:

[tex]angle \: abc = \\ 4x + 2x = 180 \\ 6x = 180 \\ x = 30 \\ angle \: dbc = 2x \\ = 2 \times 30 \\ = 60[/tex]

Answer:

x=−2

Step-by-step explanation:

Simplify both sides of the equation.

3(−x+2x+1)=x−1

Distribute

(3)(−x)+(3)(2x)+(3)(1)=x+−1

−3x+6x+3=x+−1

Combine Like Terms

(−3x+6x)+(3)=x−1

3x+3=x−1

3x+3=x−1

Subtract x from both sides.

3x+3−x=x−1−x

2x+3=−1

Subtract 3 from both sides.

2x+3−3=−1−3

2x=−4

Divide both sides by 2.

2x/2=−4/2

x=-2

Answer:

∠F = 32°

Step-by-step explanation:

ΔABC & ΔDEF are similar triangles. So, corresponding angles of both triangles are congruent

∠D = ∠A = 108

∠B = ∠E = 40

∠C = ∠F

In ΔDEF,

∠D +∠E + ∠F = 180        {Angle sum property of triangle}

108 + 40 + ∠F = 180

        148 +∠F = 180

                ∠F = 180 - 148

               ∠F = 32°

Answer:

Exact form: 7/2

decimal form: 3.5

Answer:

the answer is 20 and 5

Step-by-step explanation:

Number of hats is 5 and the number of sweatshirts is 20

The total number of items bought is 25

The total amount is $172.50

Let a represent the number of sweatshirts

Number of hats is 25-a

Cost of sweatshirt= 8x

Cost of hat= 2.50×(25-x)

= 62.50-2.5x

8x + 62.50 - 2.5x-172.50

8x-2.5x+62.50-172.50

5.5x -110

5.5x= 110

x= 110/5.5

= 20

Number of hats= 25-20, = 5

Number of sweatshirts= 20

Please see the link below for more information

https://brainly.com/question/396501?referrer=searchResults

Answer: Divide each side by '10'. x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3

Step-by-step explanation:

Answer:

write your answer as a decimal, then round

Answer:

No it is not a relation function if im correct there are two 5 x values so

Step-by-step explanation:

Answer:

a. 150 degrees

b. 210 degrees

c. 12π

d. 5π

e. 7π

f. 36π

g. (I'm assuming the shaded region is CAB) 15π