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2 years ago

Dinner costs $42. With 18% gratuity, how much will you pay in total?

Mathematics

2 answers:

Elena-2011 [213]2 years ago

6 0

Answer:

49.56

Step-by-step explanation:

42 x .18 = 7.56

7.56+42= 49.56

Vlad [161]2 years ago

3 0

Answer:

$49.56

Step-by-step explanation:

18/100 multiplied by $42 = $7.56

$42 + $7.56 = $49.56

You might be interested in

Is the set closed or not closed under operation? Negative Integers under multiplication

Nutka1998 [239]

The set is not closed

Example

-4 * -2 = 8

8 is not a negative integer

8 0

3 years ago

F(x)=6x-18 sub in f(x/3), f(x)/3

arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!

8 0

3 years ago

I need the answers for these pls help

DanielleElmas [232]

Answer:

A. m arc QRS = 100°

B. m arc QRT = 255°

C. m arc UTS = 180°

D. m arc UTR = 205°

1] The major arc CA = 255°

2] The minor arc AB = 90°

Step-by-step explanation:

In a circle:

The measure of an central angle is equal to the measure of its subtended arc
The measure of a circle is 360°
Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°
If the measures of the minor and major arcs are equal, then each arc represents a semi-circle

In circle O

∵ m∠QOR = 75°

∵ ∠QOR subtended by arc QR

- By using the 1st note above

∴ m of arc QR = m∠QOR

∴ m of arc QR = 75°

∵ m∠ROS = 25°

∵ ∠ROS subtended by arc RS

∴ m of arc RS = m∠ROS

∴ m of arc RS = 25°

The measure of arc QRS is the sum of the measures of arcs QR and RS

∴ m arc QRS = 75° + 25° = 100°

∵ m∠SOT = 155°

∵ ∠SOT subtended by arc ST

∴ m of arc ST = m∠SOT

∴ m of arc ST = 155°

The measure of arc QRT is the sum of the measures of arcs QR, RS and ST

∴ m arc QRT = 75° + 25° + 155 °= 255°

∵ m∠UOT = 25°

∵ ∠UOT subtended by arc UT

∴ m of arc UT = m∠UOT

∴ m of arc RUT = 25°

The measure of arc UTS is the sum of the measures of arcs UT and TS

∴ m arc UTS = 25° + 155° = 180°

The measure of arc UTR is the sum of the measures of arcs UT, TS and SR

∴ m arc UTR = 25° + 155° + 25 = 205°

∵ The sum of the measures of the minor and major arcs is 360°

∵ m of minor arc AC = 105°

- Subtract 105 from 360° to find the measure of the major arc CA

∴ m of major arc CA = 360° - 105°

∴ m of major arc CA = 255°

∵ m of major arc AB = 270°

- Subtract 270° from 360° to find the measure of the minor arc AB

∴ m of minor arc AB = 360° - 270°

∴ m of minor arc AB = 90°

8 0

3 years ago

Who Logarithmic equation is equivalent to the exponential equation below? e^4c=5

lesya692 [45]

Step-by-step explanation:

option a 5 = 4x

<h2>please mark me as brainlist please </h2>

4 0

2 years ago

A trapezoid has a height of 6 feet. The measures of the bases are 12 units and 18

Alik [6]

The area of this trapezoid is 90 square feet.

<h3>Explanation : </h3>

Before we know the answer, let's we know the formula first. The formula for count the area of trapezoid is :

$\boxed {\bold {A = \frac {(a+b) \times h}{2}}}$

If :

A = area of trapezoid
a = bottom bases of trapezoid
b = top bases of trapezoid
h = height of trapezoid

Okay, let's we count its :

We know that :

a = bottom bases of trapezoid = 18 feet
b = top bases of trapezoid = 12 feet
h = height of trapezoid = 6 feet

Question : A = area = ... ?

Answer :

$A = \frac {(a+b) \times h}{2} \\ A = \frac {(12+18) \times \cancel6}{\cancel2} \\ A = 30 \times 3 = 90 \: {ft}^{2}$

Subject : Mathematics

Keyword : Count The Area of a shape

8 0

3 years ago