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3 years ago

11

5) Payton runs a kiosk on Route 66. Half the canned drinks in stock were sold out and empty cans were sent for recycling. Payton

bought 68 more canned drinks to restock the kiosk. If there is a total of 200 cans now, how many canned drinks were in stock initially?

1 answer:

Zanzabum3 years ago

4 0

Answer: There were 264 cans initially stocked.

Step-by-step explanation:

c/2 + 68 = 200

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Answer to this math question

gladu [14]

Answer:

$4\frac{2}{3}$

Step-by-step explanation:

This is a recurring decimal.

Let x = 4.666666... ⇒ (1)

10x = 46.66666... ⇒ (2)

Subtract equation (1) from equation (2)

10x = 46.66666..

-<u> x = 4.666666... </u>

<u> 9x = 42.0000.....</u>

<u />

9x = 42

x = 42/9

= 14/3

= $4\frac{2}{3}$

5 0

3 years ago

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

Identify the equation of the linear function through the points (- 2,- 7) and (1,2). Then state the rate of change of the

Assoli18 [71]

Answer:

The equation of line is y = 3 x - 1 , i.e option A .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

( $x_1$ , $y_1$ ) = (- 2, -7)

( $x_2$ , $y_2$ ) = (1 , 2)

Let The slope = m

<u>Now, The slope is calculated in points form</u>

So, Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

I.e m = $\dfrac{2-(-7)}{1-(-2)}$

or, m = $\dfrac{9}{3}$

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

<u>Now, the equation of line in slope - point form can be written as</u>

y - $y_1$ = m ( x - $x_1$ )

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

or, y + 7 = 3 × (x + 2)

∴ y + 7 = 3 x + 6

Or, y = 3 x + 6 - 7

Or, y = 3 x - 1

So, The equation of line is y = 3 x - 1

Hence, The equation of line is y = 3 x - 1 , i.e option A .

And The rate of change = m = 3 Answer

8 0

3 years ago

What is 14c12?<br> A. 78<br> B. 91<br> C. 105<br> D. 120

Delicious77 [7]

9514 1404 393

Answer:

B. 91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

5 0

3 years ago

Answer pls I would really appreciate your help

tester [92]

Answer:

I think A

Step-by-step explanation:

srry if wrong

i hope this helps tho

3 0

3 years ago