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Andrews [41]
2 years ago
8

suppose your restaurant bill comes to $28.35. Find your total cost if the tax 6.25% and you leave a 20% tip on the amount before

tax
Mathematics
1 answer:
Elden [556K]2 years ago
6 0
36.34 dollars    28.50*1.625=30.28*1.2=36.34

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Find the perimeter of ABC with vertices A (1,-6), B (1,-3),<br> and C (-4,-6).
Crazy boy [7]

Answer:

p = 8 +  \sqrt{34}  = 13.83095...

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

5 0
2 years ago
A television company charges $60 for the first half-hour of work and $40 for each additional hour. Blue mountain camp has budget
Alexandra [31]

Answer:

For a length of total of  4 hrs,  the budget of $200  will not exceed.

Step-by-step explanation:

Here, the first half hour charge for repairing = $60

The next hour charge  = $40 her hour

Total budget to be spent  by Blue Mountain Camp = $200

Now, here, the cost of 0.5 hour  = $60

So, the amount left after 0.5 hour repair  = $200 - $60 = $140

Let us assume we can hire the service for m hours in $140

Cost of 1 hour charge  = $40

Cost of m hour charge  = m X ( 1 hour charge) = m x ($40) = 40 m

⇒ 40 m = 140

or, m= 140/40 = 3.5, or m = 3.5

⇒ In $140 left, they can get a service of 3.5 hours at $40 per hour.

Now, the total hours of services hired = 0.5 hour in $60 + 3.5 hr in $140

= 0.5 hr + 3.5 hr = 4 hrs

Hence, for a length of total of  4 hrs, the budget of $200  will not exceed.

4 0
2 years ago
Which of the following is a perfect square trinomial?
shutvik [7]

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\

Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either +2ab \text{ or } -2ab .  So what are <em>a</em>  and <em>b</em>?  <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30

The middle coefficient needs to be either +30 or -30.  The answer is choice A.

5 0
2 years ago
What is the volume of this triangular prism?
Liula [17]

Answer:

5676.16 cm^3

Step-by-step explanation:

The volume of any prism is given by the formula ...

V = Bh

where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...

B = 1/2·bh

where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.

Then the volume is ...

V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3

_____

You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.

4 0
3 years ago
Read 2 more answers
Is it rational or irrational
Nimfa-mama [501]
Math is real hard but I think irrational don’t quote me on that
7 0
3 years ago
Read 2 more answers
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