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elixir [45]
3 years ago
12

A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which express

ion can be used to find the total cost of the meal with the gratuity?
Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0
Adding 18% gratuity to the cost means that you'll be paying 100% of the cost p <em>plus</em> 18% of that cost, or 108% of p total.

As an expression: 1.08p
nalin [4]3 years ago
4 0

Answer: the answer is 1.18p

Step-by-step explanation:

It is trust me (;

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Your class is holdinga fundraiser for a local charity after the first week your class raised 1/8 goal after the second week your
n200080 [17]

Answer: \dfrac{19}{40}

Step-by-step explanation:

Given: Fraction of goal raised on first day = \dfrac{1}{8}

Fraction of goal raised after second day  = \dfrac35

Now , Fraction of goal raised on second day = Fraction of goal raised after second day  - Fraction of goal raised on first day

=\dfrac35-\dfrac18\\\\=\dfrac{24-5}{40}\\\\=\dfrac{19}{40}

Required fraction = \dfrac{19}{40}

7 0
3 years ago
What is 6x-13&lt;6(x-2)
ohaa [14]

For this case we have the following inequality:

6x-13

To find the solution we follow the steps below:

We apply distributive property on the right side of inequality:

6x-13

Adding 13 to both sides of the inequality we have:

6x

We subtract 6x on both sides of the inequality:

0

Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.

Answer:

The solution set is (-∞,∞)

8 0
3 years ago
Read 2 more answers
To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the g
koban [17]

Answer:

C. 3.5 mi

Step-by-step explanation:

Reference angle = angle of elevation

Angle of elevation = angle of depression = 6° (alternate angle theorem)

Hypotenuse = x

Opposite = 1905 ft

Apply trigonometric function SOH:

Sin 6° = Opp/Hyp

Sin 6° = 1905/x

x * Sin 6° = 1905

x = 1905/Sin 6°

x = 18,224.7 ft

Convert form feet to miles

1 mi = 5,280 ft

Therefore,

18,224.7 = 18,224.7/5,280

= 3.45164773 mi

≈ 3.5 mi (nearest mile)

6 0
3 years ago
PLEASE HELP IM ON A TIME LIMIT :(
Mice21 [21]

Answer:

hey hope this helps

<h3 /><h3>Comparing sides AB and DE </h3>

AB =

\sqrt{ {1}^{2} +  {1}^{2}  }

=  \sqrt{2}

DE

= \sqrt{ {(3 - 5)}^{2} +  {(1 + 1}^{2}  }  \\   = \sqrt{ {( - 2)}^{2}  +  {(2)}^{2} }  \\    = \sqrt{4 + 4}  \\  =  \sqrt{8}  \\   = 2 \sqrt{2}

So DE = 2 × AB

and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.

<u>scale factor</u> = AB/DE

= 2

It's been reflected across the Y-axis

<em>moved thru the translation of 3 units towards the right of positive x- axis </em>

for this let's compare the location of points B and D

For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3

so the triangle has been shifted by 3 units across the positive x axis

7 0
2 years ago
What is the 214 term in the sequence 7,10,13,16?
mixer [17]
We can figure this out using the explicit formula.

f(n)=f(1)+d(n-1)

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.

f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n

Now, we can input 214 for n and solve.

f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646

The 214th term in this sequence is 646.
5 0
3 years ago
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