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Elina [12.6K]
3 years ago
8

The waitress makes sure to tell all the guests that the specials will be marked up 25% after 8pm. How much will the lobster dinn

er cost after 8pm?
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0
2.99 because if you divide that you will get it
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Can somebody help me, please?
Sveta_85 [38]

Answer:

a.x=10 \textdegree

b.

m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree

Since, the m∠K is a right angle, it measures 90°

8 0
3 years ago
Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni
N76 [4]

Answer:

The shortcuts is

     Divide number of units by 100

Step-by-step explanation:

From the question we are told that

  insulin u-100 is  L  =  100 \ unit /mL

 From the data given above we see that

           100 units of  insulin u-100 is contained in  1 mL

So         1 unit of  u-100 is contained in  x mL

=>       x =  \frac{1}{100} \  mL

This means that a unit of  insulin u-100 occupies  x =  \frac{1}{100} \  mL

So we can represent a single unit of insulin u-100 as  \frac{1}{100} \  mL

  Now if 1 unit of insulin u-100 is represented  as    \frac{1}{100} \  mL

Then y unites of   insulin u-100  is represented as  z

So

         z = \frac{y}{100}  \  mL

From the above calculation we can see that the shortcuts to convert  u-100 insulin given in units, to mL is to  divide  number of units by 100

                       

6 0
3 years ago
H+6.9+11.4 <br> a<br> 4.0<br> b<br> 4.5<br> c<br> 5.0<br> d<br> 5.5
antiseptic1488 [7]

Could you please express this question better, I don't seem to understand the objective.

4 0
3 years ago
A card is in the shape of a rectangle. The length of the card is 7 cm
bogdanovich [222]

lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.

3 0
3 years ago
What is algebra? What do you do with algebra?
tigry1 [53]

Algebra is a very important branch of math.

Algebra is a lot like arithmetic which means it follows all the rules of arithmetic, and it still uses the four main operations that arithmetic is built on.

In arithmetic, the only thing that was unknown was the answer to the problem. For example, 39 + 2 = 41.  In algebra, we use a variable to represent the number. A variable is a letter that represents any number. The most common variable is "x".

6 0
3 years ago
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