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Volgvan
3 years ago
5

You and your friend were working the ticket table at the last school basketball game.

Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

-2s=-500

s=250, since a=375-s

a=375-250

a=125

So 125 adult and 250 student tickets were sold.

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
I’m stuck on this I need the correct answer ASAP !
Reil [10]

Answer:

S is the center of the circle shown below. The correct answer choice is A.

Step-by-step explanation:

3 0
4 years ago
You buy a new laptop for $300$300. The sales tax is 6%6%. What is the total cost for the laptop including the sales tax?
cricket20 [7]

Answer:

Cost Including tax would be $318

Step-by-step explanation:

Given:

Price of laptop = $300

Sales tax = 6% of price

To Find:

Cost with tax = ?

Solution:

Cost with tax = Price of laptop + Value of tax

We have to find the value of tax

Value of tax = 6% of Price

putting the value

Value of tax = 6 % * $300

                     =\frac{6}{100}*300

                     = $18

Now Cost with tax = Price of laptop + Value of tax

Putting in the value

Cost with tax = 300 + 18

                      = $318

So Cost Including tax would be $318


6 0
3 years ago
Read 2 more answers
Can someone graph this?<br> I'll give brainliest.
vodomira [7]

<em>It's nice of you to offer, but no thanks.</em>

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define <em>y</em> as the total cost and <em>x</em> as the number of water bottles sold.

y=1.5x

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, <em>x</em>, gets you the total, <em>y</em>. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the <em>amount of bottles</em> and returns the  <em>total cost. </em>Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x      y

--------

0     0

1      1.5

2     3

3     4.5

4     6    

5     7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.


7 0
3 years ago
Cups are sold in packs and in boxes. There are 12 cups in each pack. There are 18 cups in each box.
valina [46]

Answer:

12p * 18b is the equation

6 0
4 years ago
Read 2 more answers
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